id sid tid token lemma pos cord-267890-j64x6f5r 1 1 key key JJ cord-267890-j64x6f5r 1 2 : : : cord-267890-j64x6f5r 1 3 cord-267890-j64x6f5r cord-267890-j64x6f5r NFP cord-267890-j64x6f5r 1 4 authors author NNS cord-267890-j64x6f5r 1 5 : : : cord-267890-j64x6f5r 1 6 Armstrong Armstrong NNP cord-267890-j64x6f5r 1 7 , , , cord-267890-j64x6f5r 1 8 E. E. NNP cord-267890-j64x6f5r 1 9 ; ; : cord-267890-j64x6f5r 1 10 Gerardin Gerardin NNP cord-267890-j64x6f5r 1 11 , , , cord-267890-j64x6f5r 1 12 J. J. NNP cord-267890-j64x6f5r 1 13 ; ; : cord-267890-j64x6f5r 1 14 Runge Runge NNP cord-267890-j64x6f5r 1 15 , , , cord-267890-j64x6f5r 1 16 M. M. NNP cord-267890-j64x6f5r 1 17 title title NN cord-267890-j64x6f5r 1 18 : : : cord-267890-j64x6f5r 1 19 Identifying identify VBG cord-267890-j64x6f5r 1 20 the the DT cord-267890-j64x6f5r 1 21 measurements measurement NNS cord-267890-j64x6f5r 1 22 required require VBN cord-267890-j64x6f5r 1 23 to to TO cord-267890-j64x6f5r 1 24 estimate estimate VB cord-267890-j64x6f5r 1 25 rates rate NNS cord-267890-j64x6f5r 1 26 of of IN cord-267890-j64x6f5r 1 27 COVID-19 covid-19 JJ cord-267890-j64x6f5r 1 28 transmission transmission NN cord-267890-j64x6f5r 1 29 , , , cord-267890-j64x6f5r 1 30 infection infection NN cord-267890-j64x6f5r 1 31 , , , cord-267890-j64x6f5r 1 32 and and CC cord-267890-j64x6f5r 1 33 detection detection NN cord-267890-j64x6f5r 1 34 , , , cord-267890-j64x6f5r 1 35 using use VBG cord-267890-j64x6f5r 1 36 variational variational JJ cord-267890-j64x6f5r 1 37 data datum NNS cord-267890-j64x6f5r 1 38 assimilation assimilation NN cord-267890-j64x6f5r 1 39 date date NN cord-267890-j64x6f5r 2 1 : : : cord-267890-j64x6f5r 2 2 2020 2020 CD cord-267890-j64x6f5r 2 3 - - HYPH cord-267890-j64x6f5r 2 4 05 05 CD cord-267890-j64x6f5r 2 5 - - HYPH cord-267890-j64x6f5r 2 6 29 29 CD cord-267890-j64x6f5r 2 7 journal journal NN cord-267890-j64x6f5r 2 8 : : : cord-267890-j64x6f5r 3 1 nan nan NNP cord-267890-j64x6f5r 3 2 DOI DOI NNP cord-267890-j64x6f5r 3 3 : : : cord-267890-j64x6f5r 4 1 10.1101/2020.05.27.20112987 10.1101/2020.05.27.20112987 CD cord-267890-j64x6f5r 5 1 sha sha NNP cord-267890-j64x6f5r 5 2 : : : cord-267890-j64x6f5r 6 1 3913362266315e5cae92d7c9c7cf856bede9eab4 3913362266315e5cae92d7c9c7cf856bede9eab4 CD cord-267890-j64x6f5r 6 2 doc_id doc_id CD cord-267890-j64x6f5r 6 3 : : : cord-267890-j64x6f5r 6 4 267890 267890 CD cord-267890-j64x6f5r 6 5 cord_uid cord_uid NNS cord-267890-j64x6f5r 6 6 : : : cord-267890-j64x6f5r 6 7 j64x6f5r j64x6f5r CC cord-267890-j64x6f5r 7 1 We -PRON- PRP cord-267890-j64x6f5r 7 2 demonstrate demonstrate VBP cord-267890-j64x6f5r 7 3 the the DT cord-267890-j64x6f5r 7 4 ability ability NN cord-267890-j64x6f5r 7 5 of of IN cord-267890-j64x6f5r 7 6 statistical statistical JJ cord-267890-j64x6f5r 7 7 data data NN cord-267890-j64x6f5r 7 8 assimilation assimilation NN cord-267890-j64x6f5r 7 9 to to TO cord-267890-j64x6f5r 7 10 identify identify VB cord-267890-j64x6f5r 7 11 the the DT cord-267890-j64x6f5r 7 12 measurements measurement NNS cord-267890-j64x6f5r 7 13 required require VBN cord-267890-j64x6f5r 7 14 for for IN cord-267890-j64x6f5r 7 15 accurate accurate JJ cord-267890-j64x6f5r 7 16 state state NN cord-267890-j64x6f5r 7 17 and and CC cord-267890-j64x6f5r 7 18 parameter parameter NN cord-267890-j64x6f5r 7 19 estimation estimation NN cord-267890-j64x6f5r 7 20 in in IN cord-267890-j64x6f5r 7 21 an an DT cord-267890-j64x6f5r 7 22 epidemiological epidemiological JJ cord-267890-j64x6f5r 7 23 model model NN cord-267890-j64x6f5r 7 24 for for IN cord-267890-j64x6f5r 7 25 the the DT cord-267890-j64x6f5r 7 26 novel novel JJ cord-267890-j64x6f5r 7 27 coronavirus coronavirus NN cord-267890-j64x6f5r 7 28 disease disease NN cord-267890-j64x6f5r 7 29 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 7 30 . . . cord-267890-j64x6f5r 8 1 Our -PRON- PRP$ cord-267890-j64x6f5r 8 2 context context NN cord-267890-j64x6f5r 8 3 is be VBZ cord-267890-j64x6f5r 8 4 an an DT cord-267890-j64x6f5r 8 5 effort effort NN cord-267890-j64x6f5r 8 6 to to TO cord-267890-j64x6f5r 8 7 inform inform VB cord-267890-j64x6f5r 8 8 policy policy NN cord-267890-j64x6f5r 8 9 regarding regard VBG cord-267890-j64x6f5r 8 10 social social JJ cord-267890-j64x6f5r 8 11 behavior behavior NN cord-267890-j64x6f5r 8 12 , , , cord-267890-j64x6f5r 8 13 to to TO cord-267890-j64x6f5r 8 14 mitigate mitigate VB cord-267890-j64x6f5r 8 15 strain strain NN cord-267890-j64x6f5r 8 16 on on IN cord-267890-j64x6f5r 8 17 hospital hospital NN cord-267890-j64x6f5r 8 18 capacity capacity NN cord-267890-j64x6f5r 8 19 . . . cord-267890-j64x6f5r 9 1 The the DT cord-267890-j64x6f5r 9 2 model model NN cord-267890-j64x6f5r 9 3 unknowns unknown NNS cord-267890-j64x6f5r 9 4 are be VBP cord-267890-j64x6f5r 9 5 taken take VBN cord-267890-j64x6f5r 9 6 to to TO cord-267890-j64x6f5r 9 7 be be VB cord-267890-j64x6f5r 9 8 : : : cord-267890-j64x6f5r 9 9 the the DT cord-267890-j64x6f5r 9 10 time time NN cord-267890-j64x6f5r 9 11 - - HYPH cord-267890-j64x6f5r 9 12 varying vary VBG cord-267890-j64x6f5r 9 13 transmission transmission NN cord-267890-j64x6f5r 9 14 rate rate NN cord-267890-j64x6f5r 9 15 , , , cord-267890-j64x6f5r 9 16 the the DT cord-267890-j64x6f5r 9 17 fraction fraction NN cord-267890-j64x6f5r 9 18 of of IN cord-267890-j64x6f5r 9 19 exposed expose VBN cord-267890-j64x6f5r 9 20 cases case NNS cord-267890-j64x6f5r 9 21 that that WDT cord-267890-j64x6f5r 9 22 require require VBP cord-267890-j64x6f5r 9 23 hospitalization hospitalization NN cord-267890-j64x6f5r 9 24 , , , cord-267890-j64x6f5r 9 25 and and CC cord-267890-j64x6f5r 9 26 the the DT cord-267890-j64x6f5r 9 27 time time NN cord-267890-j64x6f5r 9 28 - - HYPH cord-267890-j64x6f5r 9 29 varying vary VBG cord-267890-j64x6f5r 9 30 detection detection NN cord-267890-j64x6f5r 9 31 probabilities probability NNS cord-267890-j64x6f5r 9 32 of of IN cord-267890-j64x6f5r 9 33 new new JJ cord-267890-j64x6f5r 9 34 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 9 35 and and CC cord-267890-j64x6f5r 9 36 symptomatic symptomatic JJ cord-267890-j64x6f5r 9 37 cases case NNS cord-267890-j64x6f5r 9 38 . . . cord-267890-j64x6f5r 10 1 In in IN cord-267890-j64x6f5r 10 2 simulations simulation NNS cord-267890-j64x6f5r 10 3 , , , cord-267890-j64x6f5r 10 4 we -PRON- PRP cord-267890-j64x6f5r 10 5 obtain obtain VBP cord-267890-j64x6f5r 10 6 accurate accurate JJ cord-267890-j64x6f5r 10 7 estimates estimate NNS cord-267890-j64x6f5r 10 8 of of IN cord-267890-j64x6f5r 10 9 undetected undetected JJ cord-267890-j64x6f5r 10 10 ( ( -LRB- cord-267890-j64x6f5r 10 11 that that RB cord-267890-j64x6f5r 10 12 is is RB cord-267890-j64x6f5r 10 13 , , , cord-267890-j64x6f5r 10 14 unmeasured unmeasured JJ cord-267890-j64x6f5r 10 15 ) ) -RRB- cord-267890-j64x6f5r 10 16 infectious infectious JJ cord-267890-j64x6f5r 10 17 populations population NNS cord-267890-j64x6f5r 10 18 , , , cord-267890-j64x6f5r 10 19 by by IN cord-267890-j64x6f5r 10 20 measuring measure VBG cord-267890-j64x6f5r 10 21 the the DT cord-267890-j64x6f5r 10 22 detected detect VBN cord-267890-j64x6f5r 10 23 cases case NNS cord-267890-j64x6f5r 10 24 together together RB cord-267890-j64x6f5r 10 25 with with IN cord-267890-j64x6f5r 10 26 the the DT cord-267890-j64x6f5r 10 27 recovered recovered JJ cord-267890-j64x6f5r 10 28 and and CC cord-267890-j64x6f5r 10 29 dead dead JJ cord-267890-j64x6f5r 10 30 - - : cord-267890-j64x6f5r 10 31 and and CC cord-267890-j64x6f5r 10 32 without without IN cord-267890-j64x6f5r 10 33 assumed assume VBN cord-267890-j64x6f5r 10 34 knowledge knowledge NN cord-267890-j64x6f5r 10 35 of of IN cord-267890-j64x6f5r 10 36 the the DT cord-267890-j64x6f5r 10 37 detection detection NN cord-267890-j64x6f5r 10 38 rates rate NNS cord-267890-j64x6f5r 10 39 . . . cord-267890-j64x6f5r 11 1 These these DT cord-267890-j64x6f5r 11 2 state state NN cord-267890-j64x6f5r 11 3 estimates estimate NNS cord-267890-j64x6f5r 11 4 require require VBP cord-267890-j64x6f5r 11 5 a a DT cord-267890-j64x6f5r 11 6 measurement measurement NN cord-267890-j64x6f5r 11 7 of of IN cord-267890-j64x6f5r 11 8 the the DT cord-267890-j64x6f5r 11 9 recovered recover VBN cord-267890-j64x6f5r 11 10 population population NN cord-267890-j64x6f5r 11 11 , , , cord-267890-j64x6f5r 11 12 and and CC cord-267890-j64x6f5r 11 13 are be VBP cord-267890-j64x6f5r 11 14 tolerant tolerant JJ cord-267890-j64x6f5r 11 15 to to IN cord-267890-j64x6f5r 11 16 low low JJ cord-267890-j64x6f5r 11 17 errors error NNS cord-267890-j64x6f5r 11 18 in in IN cord-267890-j64x6f5r 11 19 that that DT cord-267890-j64x6f5r 11 20 measurement measurement NN cord-267890-j64x6f5r 11 21 . . . cord-267890-j64x6f5r 12 1 Further further RB cord-267890-j64x6f5r 12 2 , , , cord-267890-j64x6f5r 12 3 excellent excellent JJ cord-267890-j64x6f5r 12 4 estimates estimate NNS cord-267890-j64x6f5r 12 5 of of IN cord-267890-j64x6f5r 12 6 all all DT cord-267890-j64x6f5r 12 7 quantities quantity NNS cord-267890-j64x6f5r 12 8 are be VBP cord-267890-j64x6f5r 12 9 obtained obtain VBN cord-267890-j64x6f5r 12 10 using use VBG cord-267890-j64x6f5r 12 11 a a DT cord-267890-j64x6f5r 12 12 temporal temporal JJ cord-267890-j64x6f5r 12 13 baseline baseline NN cord-267890-j64x6f5r 12 14 of of IN cord-267890-j64x6f5r 12 15 112 112 CD cord-267890-j64x6f5r 12 16 days day NNS cord-267890-j64x6f5r 12 17 , , , cord-267890-j64x6f5r 12 18 with with IN cord-267890-j64x6f5r 12 19 the the DT cord-267890-j64x6f5r 12 20 exception exception NN cord-267890-j64x6f5r 12 21 of of IN cord-267890-j64x6f5r 12 22 the the DT cord-267890-j64x6f5r 12 23 time time NN cord-267890-j64x6f5r 12 24 - - HYPH cord-267890-j64x6f5r 12 25 varying vary VBG cord-267890-j64x6f5r 12 26 transmission transmission NN cord-267890-j64x6f5r 12 27 rate rate NN cord-267890-j64x6f5r 12 28 at at IN cord-267890-j64x6f5r 12 29 times time NNS cord-267890-j64x6f5r 12 30 prior prior RB cord-267890-j64x6f5r 12 31 to to IN cord-267890-j64x6f5r 12 32 the the DT cord-267890-j64x6f5r 12 33 implementation implementation NN cord-267890-j64x6f5r 12 34 of of IN cord-267890-j64x6f5r 12 35 social social JJ cord-267890-j64x6f5r 12 36 distancing distancing NN cord-267890-j64x6f5r 12 37 . . . cord-267890-j64x6f5r 13 1 The the DT cord-267890-j64x6f5r 13 2 estimation estimation NN cord-267890-j64x6f5r 13 3 of of IN cord-267890-j64x6f5r 13 4 this this DT cord-267890-j64x6f5r 13 5 transmission transmission NN cord-267890-j64x6f5r 13 6 rate rate NN cord-267890-j64x6f5r 13 7 is be VBZ cord-267890-j64x6f5r 13 8 sensitive sensitive JJ cord-267890-j64x6f5r 13 9 to to IN cord-267890-j64x6f5r 13 10 contamination contamination NN cord-267890-j64x6f5r 13 11 in in IN cord-267890-j64x6f5r 13 12 the the DT cord-267890-j64x6f5r 13 13 data datum NNS cord-267890-j64x6f5r 13 14 , , , cord-267890-j64x6f5r 13 15 highlighting highlight VBG cord-267890-j64x6f5r 13 16 the the DT cord-267890-j64x6f5r 13 17 need need NN cord-267890-j64x6f5r 13 18 for for IN cord-267890-j64x6f5r 13 19 accurate accurate JJ cord-267890-j64x6f5r 13 20 and and CC cord-267890-j64x6f5r 13 21 uniform uniform JJ cord-267890-j64x6f5r 13 22 methods method NNS cord-267890-j64x6f5r 13 23 of of IN cord-267890-j64x6f5r 13 24 reporting reporting NN cord-267890-j64x6f5r 13 25 . . . cord-267890-j64x6f5r 14 1 Finally finally RB cord-267890-j64x6f5r 14 2 , , , cord-267890-j64x6f5r 14 3 we -PRON- PRP cord-267890-j64x6f5r 14 4 employ employ VBP cord-267890-j64x6f5r 14 5 the the DT cord-267890-j64x6f5r 14 6 procedure procedure NN cord-267890-j64x6f5r 14 7 using use VBG cord-267890-j64x6f5r 14 8 real real JJ cord-267890-j64x6f5r 14 9 data datum NNS cord-267890-j64x6f5r 14 10 from from IN cord-267890-j64x6f5r 14 11 Italy Italy NNP cord-267890-j64x6f5r 14 12 reported report VBN cord-267890-j64x6f5r 14 13 by by IN cord-267890-j64x6f5r 14 14 Johns Johns NNP cord-267890-j64x6f5r 14 15 Hopkins Hopkins NNP cord-267890-j64x6f5r 14 16 . . . cord-267890-j64x6f5r 15 1 The the DT cord-267890-j64x6f5r 15 2 aim aim NN cord-267890-j64x6f5r 15 3 of of IN cord-267890-j64x6f5r 15 4 this this DT cord-267890-j64x6f5r 15 5 paper paper NN cord-267890-j64x6f5r 15 6 is be VBZ cord-267890-j64x6f5r 15 7 not not RB cord-267890-j64x6f5r 15 8 to to TO cord-267890-j64x6f5r 15 9 assign assign VB cord-267890-j64x6f5r 15 10 extreme extreme JJ cord-267890-j64x6f5r 15 11 significance significance NN cord-267890-j64x6f5r 15 12 to to IN cord-267890-j64x6f5r 15 13 the the DT cord-267890-j64x6f5r 15 14 results result NNS cord-267890-j64x6f5r 15 15 of of IN cord-267890-j64x6f5r 15 16 these these DT cord-267890-j64x6f5r 15 17 specific specific JJ cord-267890-j64x6f5r 15 18 experiments experiment NNS cord-267890-j64x6f5r 15 19 textit{per textit{per XX cord-267890-j64x6f5r 15 20 se se NN cord-267890-j64x6f5r 15 21 } } -RRB- cord-267890-j64x6f5r 15 22 . . . cord-267890-j64x6f5r 16 1 Rather rather RB cord-267890-j64x6f5r 16 2 , , , cord-267890-j64x6f5r 16 3 we -PRON- PRP cord-267890-j64x6f5r 16 4 intend intend VBP cord-267890-j64x6f5r 16 5 to to TO cord-267890-j64x6f5r 16 6 exemplify exemplify VB cord-267890-j64x6f5r 16 7 the the DT cord-267890-j64x6f5r 16 8 power power NN cord-267890-j64x6f5r 16 9 of of IN cord-267890-j64x6f5r 16 10 SDA SDA NNP cord-267890-j64x6f5r 16 11 to to TO cord-267890-j64x6f5r 16 12 determine determine VB cord-267890-j64x6f5r 16 13 what what WP cord-267890-j64x6f5r 16 14 properties property NNS cord-267890-j64x6f5r 16 15 of of IN cord-267890-j64x6f5r 16 16 measurements measurement NNS cord-267890-j64x6f5r 16 17 will will MD cord-267890-j64x6f5r 16 18 yield yield VB cord-267890-j64x6f5r 16 19 estimates estimate NNS cord-267890-j64x6f5r 16 20 of of IN cord-267890-j64x6f5r 16 21 unknown unknown JJ cord-267890-j64x6f5r 16 22 model model NN cord-267890-j64x6f5r 16 23 parameters parameter NNS cord-267890-j64x6f5r 16 24 to to IN cord-267890-j64x6f5r 16 25 a a DT cord-267890-j64x6f5r 16 26 desired desire VBN cord-267890-j64x6f5r 16 27 precision precision NN cord-267890-j64x6f5r 16 28 - - : cord-267890-j64x6f5r 16 29 all all DT cord-267890-j64x6f5r 16 30 set set VBN cord-267890-j64x6f5r 16 31 within within IN cord-267890-j64x6f5r 16 32 the the DT cord-267890-j64x6f5r 16 33 complex complex JJ cord-267890-j64x6f5r 16 34 context context NN cord-267890-j64x6f5r 16 35 of of IN cord-267890-j64x6f5r 16 36 the the DT cord-267890-j64x6f5r 16 37 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 16 38 pandemic pandemic NN cord-267890-j64x6f5r 16 39 . . . cord-267890-j64x6f5r 17 1 The the DT cord-267890-j64x6f5r 17 2 coronavirus coronavirus NN cord-267890-j64x6f5r 17 3 disease disease NN cord-267890-j64x6f5r 17 4 2019 2019 CD cord-267890-j64x6f5r 17 5 ( ( -LRB- cord-267890-j64x6f5r 17 6 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 17 7 ) ) -RRB- cord-267890-j64x6f5r 17 8 is be VBZ cord-267890-j64x6f5r 17 9 burdening burden VBG cord-267890-j64x6f5r 17 10 health health NN cord-267890-j64x6f5r 17 11 care care NN cord-267890-j64x6f5r 17 12 systems system NNS cord-267890-j64x6f5r 17 13 worldwide worldwide RB cord-267890-j64x6f5r 17 14 , , , cord-267890-j64x6f5r 17 15 threatening threaten VBG cord-267890-j64x6f5r 17 16 physical physical JJ cord-267890-j64x6f5r 17 17 and and CC cord-267890-j64x6f5r 17 18 psychological psychological JJ cord-267890-j64x6f5r 17 19 health health NN cord-267890-j64x6f5r 17 20 , , , cord-267890-j64x6f5r 17 21 and and CC cord-267890-j64x6f5r 17 22 desecrating desecrate VBG cord-267890-j64x6f5r 17 23 the the DT cord-267890-j64x6f5r 17 24 global global JJ cord-267890-j64x6f5r 17 25 economy economy NN cord-267890-j64x6f5r 17 26 . . . cord-267890-j64x6f5r 18 1 It -PRON- PRP cord-267890-j64x6f5r 18 2 is be VBZ cord-267890-j64x6f5r 18 3 our -PRON- PRP$ cord-267890-j64x6f5r 18 4 nation nation NN cord-267890-j64x6f5r 18 5 's 's POS cord-267890-j64x6f5r 18 6 top top JJ cord-267890-j64x6f5r 18 7 priority priority NN cord-267890-j64x6f5r 18 8 to to TO cord-267890-j64x6f5r 18 9 assuage assuage VB cord-267890-j64x6f5r 18 10 this this DT cord-267890-j64x6f5r 18 11 harm harm NN cord-267890-j64x6f5r 18 12 . . . cord-267890-j64x6f5r 19 1 In in IN cord-267890-j64x6f5r 19 2 particular particular JJ cord-267890-j64x6f5r 19 3 , , , cord-267890-j64x6f5r 19 4 it -PRON- PRP cord-267890-j64x6f5r 19 5 is be VBZ cord-267890-j64x6f5r 19 6 vital vital JJ cord-267890-j64x6f5r 19 7 to to TO cord-267890-j64x6f5r 19 8 maintain maintain VB cord-267890-j64x6f5r 19 9 appropriate appropriate JJ cord-267890-j64x6f5r 19 10 social social JJ cord-267890-j64x6f5r 19 11 behavior behavior NN cord-267890-j64x6f5r 19 12 to to TO cord-267890-j64x6f5r 19 13 avoid avoid VB cord-267890-j64x6f5r 19 14 straining strain VBG cord-267890-j64x6f5r 19 15 hospital hospital NN cord-267890-j64x6f5r 19 16 capacity capacity NN cord-267890-j64x6f5r 19 17 , , , cord-267890-j64x6f5r 19 18 and and CC cord-267890-j64x6f5r 19 19 meanwhile meanwhile RB cord-267890-j64x6f5r 19 20 minimize minimize VB cord-267890-j64x6f5r 19 21 the the DT cord-267890-j64x6f5r 19 22 psychological psychological JJ cord-267890-j64x6f5r 19 23 stress stress NN cord-267890-j64x6f5r 19 24 that that IN cord-267890-j64x6f5r 19 25 social social JJ cord-267890-j64x6f5r 19 26 restrictions restriction NNS cord-267890-j64x6f5r 19 27 place place VBP cord-267890-j64x6f5r 19 28 upon upon IN cord-267890-j64x6f5r 19 29 citizens citizen NNS cord-267890-j64x6f5r 19 30 . . . cord-267890-j64x6f5r 20 1 Given give VBN cord-267890-j64x6f5r 20 2 the the DT cord-267890-j64x6f5r 20 3 uncertainties uncertainty NNS cord-267890-j64x6f5r 20 4 , , , cord-267890-j64x6f5r 20 5 however however RB cord-267890-j64x6f5r 20 6 , , , cord-267890-j64x6f5r 20 7 in in IN cord-267890-j64x6f5r 20 8 the the DT cord-267890-j64x6f5r 20 9 intrinsic intrinsic JJ cord-267890-j64x6f5r 20 10 properties property NNS cord-267890-j64x6f5r 20 11 of of IN cord-267890-j64x6f5r 20 12 the the DT cord-267890-j64x6f5r 20 13 disease disease NN cord-267890-j64x6f5r 20 14 and and CC cord-267890-j64x6f5r 20 15 inaccuracies inaccuracy NNS cord-267890-j64x6f5r 20 16 in in IN cord-267890-j64x6f5r 20 17 the the DT cord-267890-j64x6f5r 20 18 recording recording NN cord-267890-j64x6f5r 20 19 of of IN cord-267890-j64x6f5r 20 20 its -PRON- PRP$ cord-267890-j64x6f5r 20 21 effects effect NNS cord-267890-j64x6f5r 20 22 on on IN cord-267890-j64x6f5r 20 23 the the DT cord-267890-j64x6f5r 20 24 population population NN cord-267890-j64x6f5r 20 25 [ [ -LRB- cord-267890-j64x6f5r 20 26 1 1 CD cord-267890-j64x6f5r 20 27 ] ] -RRB- cord-267890-j64x6f5r 20 28 [ [ -LRB- cord-267890-j64x6f5r 20 29 2 2 CD cord-267890-j64x6f5r 20 30 ] ] -RRB- cord-267890-j64x6f5r 20 31 [ [ -LRB- cord-267890-j64x6f5r 20 32 3 3 CD cord-267890-j64x6f5r 20 33 ] ] -RRB- cord-267890-j64x6f5r 20 34 , , , cord-267890-j64x6f5r 20 35 an an DT cord-267890-j64x6f5r 20 36 optimal optimal JJ cord-267890-j64x6f5r 20 37 protocol protocol NN cord-267890-j64x6f5r 20 38 for for IN cord-267890-j64x6f5r 20 39 social social JJ cord-267890-j64x6f5r 20 40 behavior behavior NN cord-267890-j64x6f5r 20 41 is be VBZ cord-267890-j64x6f5r 20 42 far far RB cord-267890-j64x6f5r 20 43 from from IN cord-267890-j64x6f5r 20 44 clear clear JJ cord-267890-j64x6f5r 20 45 . . . cord-267890-j64x6f5r 21 1 It -PRON- PRP cord-267890-j64x6f5r 21 2 is be VBZ cord-267890-j64x6f5r 21 3 invaluable invaluable JJ cord-267890-j64x6f5r 21 4 to to TO cord-267890-j64x6f5r 21 5 identify identify VB cord-267890-j64x6f5r 21 6 any any DT cord-267890-j64x6f5r 21 7 and and CC cord-267890-j64x6f5r 21 8 all all DT cord-267890-j64x6f5r 21 9 methodologies methodology NNS cord-267890-j64x6f5r 21 10 that that WDT cord-267890-j64x6f5r 21 11 may may MD cord-267890-j64x6f5r 21 12 be be VB cord-267890-j64x6f5r 21 13 brought bring VBN cord-267890-j64x6f5r 21 14 to to TO cord-267890-j64x6f5r 21 15 bear bear VB cord-267890-j64x6f5r 21 16 upon upon IN cord-267890-j64x6f5r 21 17 this this DT cord-267890-j64x6f5r 21 18 situation situation NN cord-267890-j64x6f5r 21 19 . . . cord-267890-j64x6f5r 22 1 Within within IN cord-267890-j64x6f5r 22 2 this this DT cord-267890-j64x6f5r 22 3 context context NN cord-267890-j64x6f5r 22 4 , , , cord-267890-j64x6f5r 22 5 we -PRON- PRP cord-267890-j64x6f5r 22 6 seek seek VBP cord-267890-j64x6f5r 22 7 a a DT cord-267890-j64x6f5r 22 8 means means NN cord-267890-j64x6f5r 22 9 to to TO cord-267890-j64x6f5r 22 10 quantify quantify VB cord-267890-j64x6f5r 22 11 what what WP cord-267890-j64x6f5r 22 12 data datum NNS cord-267890-j64x6f5r 22 13 must must MD cord-267890-j64x6f5r 22 14 be be VB cord-267890-j64x6f5r 22 15 recorded record VBN cord-267890-j64x6f5r 22 16 in in IN cord-267890-j64x6f5r 22 17 order order NN cord-267890-j64x6f5r 22 18 to to TO cord-267890-j64x6f5r 22 19 estimate estimate VB cord-267890-j64x6f5r 22 20 specific specific JJ cord-267890-j64x6f5r 22 21 unknown unknown JJ cord-267890-j64x6f5r 22 22 quantities quantity NNS cord-267890-j64x6f5r 22 23 in in IN cord-267890-j64x6f5r 22 24 an an DT cord-267890-j64x6f5r 22 25 epidemiological epidemiological JJ cord-267890-j64x6f5r 22 26 model model NN cord-267890-j64x6f5r 22 27 tailored tailor VBN cord-267890-j64x6f5r 22 28 to to IN cord-267890-j64x6f5r 22 29 the the DT cord-267890-j64x6f5r 22 30 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 22 31 pandemic pandemic NN cord-267890-j64x6f5r 22 32 . . . cord-267890-j64x6f5r 23 1 These these DT cord-267890-j64x6f5r 23 2 unknown unknown JJ cord-267890-j64x6f5r 23 3 quantities quantity NNS cord-267890-j64x6f5r 23 4 are be VBP cord-267890-j64x6f5r 23 5 : : : cord-267890-j64x6f5r 23 6 i i LS cord-267890-j64x6f5r 23 7 ) ) -RRB- cord-267890-j64x6f5r 23 8 the the DT cord-267890-j64x6f5r 23 9 transmission transmission NN cord-267890-j64x6f5r 23 10 rate rate NN cord-267890-j64x6f5r 23 11 , , , cord-267890-j64x6f5r 23 12 ii ii LS cord-267890-j64x6f5r 23 13 ) ) -RRB- cord-267890-j64x6f5r 23 14 the the DT cord-267890-j64x6f5r 23 15 fraction fraction NN cord-267890-j64x6f5r 23 16 of of IN cord-267890-j64x6f5r 23 17 the the DT cord-267890-j64x6f5r 23 18 exposed expose VBN cord-267890-j64x6f5r 23 19 population population NN cord-267890-j64x6f5r 23 20 that that WDT cord-267890-j64x6f5r 23 21 acquires acquire VBZ cord-267890-j64x6f5r 23 22 symptoms symptom NNS cord-267890-j64x6f5r 23 23 sufficiently sufficiently RB cord-267890-j64x6f5r 23 24 severe severe JJ cord-267890-j64x6f5r 23 25 to to TO cord-267890-j64x6f5r 23 26 require require VB cord-267890-j64x6f5r 23 27 hospitalization hospitalization NN cord-267890-j64x6f5r 23 28 , , , cord-267890-j64x6f5r 23 29 and and CC cord-267890-j64x6f5r 23 30 iii iii LS cord-267890-j64x6f5r 23 31 ) ) -RRB- cord-267890-j64x6f5r 23 32 time time NN cord-267890-j64x6f5r 23 33 - - HYPH cord-267890-j64x6f5r 23 34 varying vary VBG cord-267890-j64x6f5r 23 35 detection detection NN cord-267890-j64x6f5r 23 36 probabilities probability NNS cord-267890-j64x6f5r 23 37 of of IN cord-267890-j64x6f5r 23 38 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 23 39 and and CC cord-267890-j64x6f5r 23 40 symptomatic symptomatic JJ cord-267890-j64x6f5r 23 41 cases case NNS cord-267890-j64x6f5r 23 42 . . . cord-267890-j64x6f5r 24 1 In in IN cord-267890-j64x6f5r 24 2 this this DT cord-267890-j64x6f5r 24 3 paper paper NN cord-267890-j64x6f5r 24 4 , , , cord-267890-j64x6f5r 24 5 we -PRON- PRP cord-267890-j64x6f5r 24 6 demonstrate demonstrate VBP cord-267890-j64x6f5r 24 7 the the DT cord-267890-j64x6f5r 24 8 ability ability NN cord-267890-j64x6f5r 24 9 of of IN cord-267890-j64x6f5r 24 10 statistical statistical JJ cord-267890-j64x6f5r 24 11 data data NN cord-267890-j64x6f5r 24 12 assimilation assimilation NN cord-267890-j64x6f5r 24 13 ( ( -LRB- cord-267890-j64x6f5r 24 14 SDA SDA NNP cord-267890-j64x6f5r 24 15 ) ) -RRB- cord-267890-j64x6f5r 24 16 to to TO cord-267890-j64x6f5r 24 17 quantify quantify VB cord-267890-j64x6f5r 24 18 the the DT cord-267890-j64x6f5r 24 19 accuracy accuracy NN cord-267890-j64x6f5r 24 20 to to TO cord-267890-j64x6f5r 24 21 which which WDT cord-267890-j64x6f5r 24 22 these these DT cord-267890-j64x6f5r 24 23 parameters parameter NNS cord-267890-j64x6f5r 24 24 can can MD cord-267890-j64x6f5r 24 25 be be VB cord-267890-j64x6f5r 24 26 estimated estimate VBN cord-267890-j64x6f5r 24 27 , , , cord-267890-j64x6f5r 24 28 given give VBN cord-267890-j64x6f5r 24 29 certain certain JJ cord-267890-j64x6f5r 24 30 properties property NNS cord-267890-j64x6f5r 24 31 of of IN cord-267890-j64x6f5r 24 32 the the DT cord-267890-j64x6f5r 24 33 data datum NNS cord-267890-j64x6f5r 24 34 including include VBG cord-267890-j64x6f5r 24 35 noise noise NN cord-267890-j64x6f5r 24 36 level level NN cord-267890-j64x6f5r 24 37 . . . cord-267890-j64x6f5r 25 1 SDA SDA NNP cord-267890-j64x6f5r 25 2 is be VBZ cord-267890-j64x6f5r 25 3 an an DT cord-267890-j64x6f5r 25 4 inverse inverse JJ cord-267890-j64x6f5r 25 5 formulation formulation NN cord-267890-j64x6f5r 25 6 [ [ -LRB- cord-267890-j64x6f5r 25 7 4 4 CD cord-267890-j64x6f5r 25 8 ] ] -RRB- cord-267890-j64x6f5r 25 9 : : : cord-267890-j64x6f5r 25 10 a a DT cord-267890-j64x6f5r 25 11 machine machine NN cord-267890-j64x6f5r 25 12 learning learning NN cord-267890-j64x6f5r 25 13 approach approach NN cord-267890-j64x6f5r 25 14 designed design VBN cord-267890-j64x6f5r 25 15 to to TO cord-267890-j64x6f5r 25 16 optimally optimally RB cord-267890-j64x6f5r 25 17 combine combine VB cord-267890-j64x6f5r 25 18 a a DT cord-267890-j64x6f5r 25 19 model model NN cord-267890-j64x6f5r 25 20 with with IN cord-267890-j64x6f5r 25 21 data datum NNS cord-267890-j64x6f5r 25 22 . . . cord-267890-j64x6f5r 26 1 Invented invent VBN cord-267890-j64x6f5r 26 2 for for IN cord-267890-j64x6f5r 26 3 numerical numerical JJ cord-267890-j64x6f5r 26 4 weather weather NN cord-267890-j64x6f5r 26 5 prediction prediction NN cord-267890-j64x6f5r 26 6 [ [ -LRB- cord-267890-j64x6f5r 26 7 5 5 CD cord-267890-j64x6f5r 26 8 ] ] -RRB- cord-267890-j64x6f5r 26 9 [ [ -LRB- cord-267890-j64x6f5r 26 10 6 6 CD cord-267890-j64x6f5r 26 11 ] ] -RRB- cord-267890-j64x6f5r 26 12 [ [ -LRB- cord-267890-j64x6f5r 26 13 7 7 CD cord-267890-j64x6f5r 26 14 ] ] -RRB- cord-267890-j64x6f5r 27 1 [ [ -LRB- cord-267890-j64x6f5r 27 2 8 8 CD cord-267890-j64x6f5r 27 3 ] ] -RRB- cord-267890-j64x6f5r 27 4 [ [ -LRB- cord-267890-j64x6f5r 27 5 9 9 CD cord-267890-j64x6f5r 27 6 ] ] -RRB- cord-267890-j64x6f5r 27 7 [ [ -LRB- cord-267890-j64x6f5r 27 8 10 10 CD cord-267890-j64x6f5r 27 9 ] ] -RRB- cord-267890-j64x6f5r 27 10 , , , cord-267890-j64x6f5r 27 11 and and CC cord-267890-j64x6f5r 27 12 more more RBR cord-267890-j64x6f5r 27 13 recently recently RB cord-267890-j64x6f5r 27 14 applied apply VBN cord-267890-j64x6f5r 27 15 to to IN cord-267890-j64x6f5r 27 16 biological biological JJ cord-267890-j64x6f5r 27 17 neuron neuron NN cord-267890-j64x6f5r 27 18 models model NNS cord-267890-j64x6f5r 27 19 [ [ -LRB- cord-267890-j64x6f5r 27 20 11 11 CD cord-267890-j64x6f5r 27 21 ] ] -RRB- cord-267890-j64x6f5r 27 22 [ [ -LRB- cord-267890-j64x6f5r 27 23 12 12 CD cord-267890-j64x6f5r 27 24 ] ] -RRB- cord-267890-j64x6f5r 27 25 [ [ -LRB- cord-267890-j64x6f5r 27 26 13 13 CD cord-267890-j64x6f5r 27 27 ] ] -RRB- cord-267890-j64x6f5r 28 1 [ [ -LRB- cord-267890-j64x6f5r 28 2 14 14 CD cord-267890-j64x6f5r 28 3 ] ] -RRB- cord-267890-j64x6f5r 29 1 [ [ -LRB- cord-267890-j64x6f5r 29 2 15 15 CD cord-267890-j64x6f5r 29 3 ] ] -RRB- cord-267890-j64x6f5r 29 4 [ [ -LRB- cord-267890-j64x6f5r 29 5 16 16 CD cord-267890-j64x6f5r 29 6 ] ] -RRB- cord-267890-j64x6f5r 29 7 [ [ -LRB- cord-267890-j64x6f5r 29 8 17 17 CD cord-267890-j64x6f5r 29 9 ] ] -RRB- cord-267890-j64x6f5r 30 1 , , , cord-267890-j64x6f5r 30 2 SDA SDA NNP cord-267890-j64x6f5r 30 3 offers offer VBZ cord-267890-j64x6f5r 30 4 a a DT cord-267890-j64x6f5r 30 5 systematic systematic JJ cord-267890-j64x6f5r 30 6 means mean NNS cord-267890-j64x6f5r 30 7 to to TO cord-267890-j64x6f5r 30 8 identify identify VB cord-267890-j64x6f5r 30 9 the the DT cord-267890-j64x6f5r 30 10 measurements measurement NNS cord-267890-j64x6f5r 30 11 required require VBN cord-267890-j64x6f5r 30 12 to to TO cord-267890-j64x6f5r 30 13 estimate estimate VB cord-267890-j64x6f5r 30 14 unknown unknown JJ cord-267890-j64x6f5r 30 15 model model NN cord-267890-j64x6f5r 30 16 parameters parameter NNS cord-267890-j64x6f5r 30 17 to to IN cord-267890-j64x6f5r 30 18 a a DT cord-267890-j64x6f5r 30 19 desired desire VBN cord-267890-j64x6f5r 30 20 precision precision NN cord-267890-j64x6f5r 30 21 . . . cord-267890-j64x6f5r 31 1 Data datum NNS cord-267890-j64x6f5r 31 2 assimilation assimilation NN cord-267890-j64x6f5r 31 3 has have VBZ cord-267890-j64x6f5r 31 4 been be VBN cord-267890-j64x6f5r 31 5 presented present VBN cord-267890-j64x6f5r 31 6 as as IN cord-267890-j64x6f5r 31 7 a a DT cord-267890-j64x6f5r 31 8 means means NN cord-267890-j64x6f5r 31 9 for for IN cord-267890-j64x6f5r 31 10 general general JJ cord-267890-j64x6f5r 31 11 epidemiological epidemiological JJ cord-267890-j64x6f5r 31 12 forecasting forecasting NN cord-267890-j64x6f5r 31 13 [ [ -LRB- cord-267890-j64x6f5r 31 14 18 18 CD cord-267890-j64x6f5r 31 15 ] ] -RRB- cord-267890-j64x6f5r 31 16 , , , cord-267890-j64x6f5r 31 17 and and CC cord-267890-j64x6f5r 31 18 one one CD cord-267890-j64x6f5r 31 19 work work NN cord-267890-j64x6f5r 31 20 has have VBZ cord-267890-j64x6f5r 31 21 examined examine VBN cord-267890-j64x6f5r 31 22 variational variational JJ cord-267890-j64x6f5r 31 23 data data NN cord-267890-j64x6f5r 31 24 assimilation assimilation NN cord-267890-j64x6f5r 31 25 specif specif NN cord-267890-j64x6f5r 31 26 - - NN cord-267890-j64x6f5r 31 27 ically ically RB cord-267890-j64x6f5r 32 1 -the -the NFP cord-267890-j64x6f5r 32 2 method method NN cord-267890-j64x6f5r 32 3 we -PRON- PRP cord-267890-j64x6f5r 32 4 employ employ VBP cord-267890-j64x6f5r 32 5 in in IN cord-267890-j64x6f5r 32 6 this this DT cord-267890-j64x6f5r 32 7 paper paper NN cord-267890-j64x6f5r 33 1 -for -for : cord-267890-j64x6f5r 33 2 estimating estimate VBG cord-267890-j64x6f5r 33 3 parameters parameter NNS cord-267890-j64x6f5r 33 4 in in IN cord-267890-j64x6f5r 33 5 epidemiological epidemiological JJ cord-267890-j64x6f5r 33 6 models model NNS cord-267890-j64x6f5r 33 7 [ [ -LRB- cord-267890-j64x6f5r 33 8 19 19 CD cord-267890-j64x6f5r 33 9 ] ] -RRB- cord-267890-j64x6f5r 33 10 . . . cord-267890-j64x6f5r 34 1 Related related JJ cord-267890-j64x6f5r 34 2 Bayesian Bayesian NNP cord-267890-j64x6f5r 34 3 frameworks framework NNS cord-267890-j64x6f5r 34 4 for for IN cord-267890-j64x6f5r 34 5 estimating estimate VBG cord-267890-j64x6f5r 34 6 unknown unknown JJ cord-267890-j64x6f5r 34 7 properties property NNS cord-267890-j64x6f5r 34 8 of of IN cord-267890-j64x6f5r 34 9 epidemiological epidemiological JJ cord-267890-j64x6f5r 34 10 models model NNS cord-267890-j64x6f5r 34 11 have have VBP cord-267890-j64x6f5r 34 12 also also RB cord-267890-j64x6f5r 34 13 been be VBN cord-267890-j64x6f5r 34 14 explored explore VBN cord-267890-j64x6f5r 34 15 [ [ -LRB- cord-267890-j64x6f5r 34 16 20 20 CD cord-267890-j64x6f5r 34 17 , , , cord-267890-j64x6f5r 34 18 21 21 CD cord-267890-j64x6f5r 34 19 ] ] -RRB- cord-267890-j64x6f5r 34 20 . . . cord-267890-j64x6f5r 35 1 To to IN cord-267890-j64x6f5r 35 2 date date NN cord-267890-j64x6f5r 35 3 , , , cord-267890-j64x6f5r 35 4 there there EX cord-267890-j64x6f5r 35 5 have have VBP cord-267890-j64x6f5r 35 6 been be VBN cord-267890-j64x6f5r 35 7 two two CD cord-267890-j64x6f5r 35 8 employments employment NNS cord-267890-j64x6f5r 35 9 of of IN cord-267890-j64x6f5r 35 10 SDA SDA NNP cord-267890-j64x6f5r 35 11 for for IN cord-267890-j64x6f5r 35 12 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 35 13 specifically specifically RB cord-267890-j64x6f5r 35 14 . . . cord-267890-j64x6f5r 36 1 Ref ref NN cord-267890-j64x6f5r 36 2 [ [ -LRB- cord-267890-j64x6f5r 36 3 22 22 CD cord-267890-j64x6f5r 36 4 ] ] -RRB- cord-267890-j64x6f5r 36 5 used use VBD cord-267890-j64x6f5r 36 6 a a DT cord-267890-j64x6f5r 36 7 simple simple JJ cord-267890-j64x6f5r 36 8 SIR SIR NNP cord-267890-j64x6f5r 36 9 ( ( -LRB- cord-267890-j64x6f5r 36 10 susceptible susceptible JJ cord-267890-j64x6f5r 36 11 / / SYM cord-267890-j64x6f5r 36 12 infected infect VBN cord-267890-j64x6f5r 36 13 / / SYM cord-267890-j64x6f5r 36 14 recovered recovered JJ cord-267890-j64x6f5r 36 15 ) ) -RRB- cord-267890-j64x6f5r 36 16 model model NN cord-267890-j64x6f5r 36 17 , , , cord-267890-j64x6f5r 36 18 and and CC cord-267890-j64x6f5r 36 19 Ref Ref NNP cord-267890-j64x6f5r 36 20 [ [ -LRB- cord-267890-j64x6f5r 36 21 23 23 CD cord-267890-j64x6f5r 36 22 ] ] -RRB- cord-267890-j64x6f5r 36 23 expanded expand VBD cord-267890-j64x6f5r 36 24 the the DT cord-267890-j64x6f5r 36 25 SIR SIR NNP cord-267890-j64x6f5r 36 26 model model NN cord-267890-j64x6f5r 36 27 to to TO cord-267890-j64x6f5r 36 28 include include VB cord-267890-j64x6f5r 36 29 a a DT cord-267890-j64x6f5r 36 30 compartment compartment NN cord-267890-j64x6f5r 36 31 of of IN cord-267890-j64x6f5r 36 32 patients patient NNS cord-267890-j64x6f5r 36 33 in in IN cord-267890-j64x6f5r 36 34 treatment treatment NN cord-267890-j64x6f5r 36 35 . . . cord-267890-j64x6f5r 37 1 Two two CD cord-267890-j64x6f5r 37 2 features feature NNS cord-267890-j64x6f5r 37 3 of of IN cord-267890-j64x6f5r 37 4 our -PRON- PRP$ cord-267890-j64x6f5r 37 5 work work NN cord-267890-j64x6f5r 37 6 distinguish distinguish VBP cord-267890-j64x6f5r 37 7 this this DT cord-267890-j64x6f5r 37 8 paper paper NN cord-267890-j64x6f5r 37 9 as as IN cord-267890-j64x6f5r 37 10 novel novel NN cord-267890-j64x6f5r 37 11 . . . cord-267890-j64x6f5r 38 1 First first RB cord-267890-j64x6f5r 38 2 , , , cord-267890-j64x6f5r 38 3 we -PRON- PRP cord-267890-j64x6f5r 38 4 significantly significantly RB cord-267890-j64x6f5r 38 5 expand expand VBP cord-267890-j64x6f5r 38 6 the the DT cord-267890-j64x6f5r 38 7 model model NN cord-267890-j64x6f5r 38 8 in in IN cord-267890-j64x6f5r 38 9 terms term NNS cord-267890-j64x6f5r 38 10 of of IN cord-267890-j64x6f5r 38 11 the the DT cord-267890-j64x6f5r 38 12 number number NN cord-267890-j64x6f5r 38 13 of of IN cord-267890-j64x6f5r 38 14 compartments compartment NNS cord-267890-j64x6f5r 38 15 . . . cord-267890-j64x6f5r 39 1 The the DT cord-267890-j64x6f5r 39 2 aim aim NN cord-267890-j64x6f5r 39 3 here here RB cord-267890-j64x6f5r 39 4 is be VBZ cord-267890-j64x6f5r 39 5 to to TO cord-267890-j64x6f5r 39 6 capture capture VB cord-267890-j64x6f5r 39 7 key key JJ cord-267890-j64x6f5r 39 8 features feature NNS cord-267890-j64x6f5r 39 9 of of IN cord-267890-j64x6f5r 39 10 COVID-19 covid-19 NN cord-267890-j64x6f5r 39 11 so so IN cord-267890-j64x6f5r 39 12 as as IN cord-267890-j64x6f5r 39 13 to to TO cord-267890-j64x6f5r 39 14 eventually eventually RB cord-267890-j64x6f5r 39 15 inform inform VB cord-267890-j64x6f5r 39 16 state state NN cord-267890-j64x6f5r 39 17 policy policy NN cord-267890-j64x6f5r 39 18 on on IN cord-267890-j64x6f5r 39 19 containing contain VBG cord-267890-j64x6f5r 39 20 the the DT cord-267890-j64x6f5r 39 21 pandemic pandemic NN cord-267890-j64x6f5r 39 22 . . . cord-267890-j64x6f5r 40 1 These these DT cord-267890-j64x6f5r 40 2 features feature NNS cord-267890-j64x6f5r 40 3 are be VBP cord-267890-j64x6f5r 40 4 : : : cord-267890-j64x6f5r 40 5 i i LS cord-267890-j64x6f5r 40 6 ) ) -RRB- cord-267890-j64x6f5r 40 7 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 40 8 versus versus IN cord-267890-j64x6f5r 40 9 symptomatic symptomatic JJ cord-267890-j64x6f5r 40 10 populations population NNS cord-267890-j64x6f5r 40 11 , , , cord-267890-j64x6f5r 40 12 ii ii LS cord-267890-j64x6f5r 40 13 ) ) -RRB- cord-267890-j64x6f5r 40 14 undetected undetecte VBN cord-267890-j64x6f5r 40 15 versus versus IN cord-267890-j64x6f5r 40 16 detected detect VBN cord-267890-j64x6f5r 40 17 cases case NNS cord-267890-j64x6f5r 40 18 , , , cord-267890-j64x6f5r 40 19 and and CC cord-267890-j64x6f5r 40 20 iii iii LS cord-267890-j64x6f5r 40 21 ) ) -RRB- cord-267890-j64x6f5r 41 1 two two CD cord-267890-j64x6f5r 41 2 hospitalized hospitalize VBN cord-267890-j64x6f5r 41 3 populations population NNS cord-267890-j64x6f5r 41 4 : : : cord-267890-j64x6f5r 41 5 those those DT cord-267890-j64x6f5r 41 6 who who WP cord-267890-j64x6f5r 41 7 do do VBP cord-267890-j64x6f5r 41 8 and and CC cord-267890-j64x6f5r 41 9 do do VBP cord-267890-j64x6f5r 41 10 not not RB cord-267890-j64x6f5r 41 11 require require VB cord-267890-j64x6f5r 41 12 critical critical JJ cord-267890-j64x6f5r 41 13 care care NN cord-267890-j64x6f5r 41 14 . . . cord-267890-j64x6f5r 42 1 For for IN cord-267890-j64x6f5r 42 2 our -PRON- PRP$ cord-267890-j64x6f5r 42 3 motivations motivation NNS cord-267890-j64x6f5r 42 4 for for IN cord-267890-j64x6f5r 42 5 these these DT cord-267890-j64x6f5r 42 6 choices choice NNS cord-267890-j64x6f5r 42 7 , , , cord-267890-j64x6f5r 42 8 see see VB cord-267890-j64x6f5r 42 9 Model Model NNP cord-267890-j64x6f5r 42 10 . . . cord-267890-j64x6f5r 43 1 Second second RB cord-267890-j64x6f5r 43 2 , , , cord-267890-j64x6f5r 43 3 we -PRON- PRP cord-267890-j64x6f5r 43 4 employ employ VBP cord-267890-j64x6f5r 43 5 SDA SDA NNP cord-267890-j64x6f5r 43 6 for for IN cord-267890-j64x6f5r 43 7 the the DT cord-267890-j64x6f5r 43 8 specific specific JJ cord-267890-j64x6f5r 43 9 purpose purpose NN cord-267890-j64x6f5r 43 10 of of IN cord-267890-j64x6f5r 43 11 examining examine VBG cord-267890-j64x6f5r 43 12 the the DT cord-267890-j64x6f5r 43 13 sensitivity sensitivity NN cord-267890-j64x6f5r 43 14 of of IN cord-267890-j64x6f5r 43 15 estimates estimate NNS cord-267890-j64x6f5r 43 16 of of IN cord-267890-j64x6f5r 43 17 time time NN cord-267890-j64x6f5r 43 18 - - HYPH cord-267890-j64x6f5r 43 19 varying vary VBG cord-267890-j64x6f5r 43 20 parameters parameter NNS cord-267890-j64x6f5r 43 21 to to IN cord-267890-j64x6f5r 43 22 various various JJ cord-267890-j64x6f5r 43 23 properties property NNS cord-267890-j64x6f5r 43 24 of of IN cord-267890-j64x6f5r 43 25 the the DT cord-267890-j64x6f5r 43 26 measurements measurement NNS cord-267890-j64x6f5r 43 27 , , , cord-267890-j64x6f5r 43 28 including include VBG cord-267890-j64x6f5r 43 29 the the DT cord-267890-j64x6f5r 43 30 degree degree NN cord-267890-j64x6f5r 43 31 of of IN cord-267890-j64x6f5r 43 32 noise noise NN cord-267890-j64x6f5r 43 33 ( ( -LRB- cord-267890-j64x6f5r 43 34 or or CC cord-267890-j64x6f5r 43 35 error error NN cord-267890-j64x6f5r 43 36 ) ) -RRB- cord-267890-j64x6f5r 43 37 added add VBN cord-267890-j64x6f5r 43 38 . . . cord-267890-j64x6f5r 44 1 Moreover moreover RB cord-267890-j64x6f5r 44 2 , , , cord-267890-j64x6f5r 44 3 we -PRON- PRP cord-267890-j64x6f5r 44 4 aim aim VBP cord-267890-j64x6f5r 44 5 to to TO cord-267890-j64x6f5r 44 6 demonstrate demonstrate VB cord-267890-j64x6f5r 44 7 the the DT cord-267890-j64x6f5r 44 8 power power NN cord-267890-j64x6f5r 44 9 and and CC cord-267890-j64x6f5r 44 10 versatility versatility NN cord-267890-j64x6f5r 44 11 of of IN cord-267890-j64x6f5r 44 12 the the DT cord-267890-j64x6f5r 44 13 SDA SDA NNP cord-267890-j64x6f5r 44 14 technique technique NN cord-267890-j64x6f5r 44 15 to to TO cord-267890-j64x6f5r 44 16 explore explore VB cord-267890-j64x6f5r 44 17 what what WP cord-267890-j64x6f5r 44 18 is be VBZ cord-267890-j64x6f5r 44 19 required require VBN cord-267890-j64x6f5r 44 20 of of IN cord-267890-j64x6f5r 44 21 measurements measurement NNS cord-267890-j64x6f5r 44 22 to to TO cord-267890-j64x6f5r 44 23 complete complete VB cord-267890-j64x6f5r 44 24 a a DT cord-267890-j64x6f5r 44 25 model model NN cord-267890-j64x6f5r 44 26 with with IN cord-267890-j64x6f5r 44 27 a a DT cord-267890-j64x6f5r 44 28 dimension dimension NN cord-267890-j64x6f5r 44 29 sufficiently sufficiently RB cord-267890-j64x6f5r 44 30 high high JJ cord-267890-j64x6f5r 44 31 to to TO cord-267890-j64x6f5r 44 32 capture capture VB cord-267890-j64x6f5r 44 33 the the DT cord-267890-j64x6f5r 44 34 complexities complexity NNS cord-267890-j64x6f5r 44 35 of of IN cord-267890-j64x6f5r 44 36 COVID-19 covid-19 CD cord-267890-j64x6f5r 44 37 -an -an CD cord-267890-j64x6f5r 44 38 examination examination NN cord-267890-j64x6f5r 44 39 that that WDT cord-267890-j64x6f5r 44 40 has have VBZ cord-267890-j64x6f5r 44 41 not not RB cord-267890-j64x6f5r 44 42 previously previously RB cord-267890-j64x6f5r 44 43 been be VBN cord-267890-j64x6f5r 44 44 done do VBN cord-267890-j64x6f5r 44 45 . . . cord-267890-j64x6f5r 45 1 To to IN cord-267890-j64x6f5r 45 2 this this DT cord-267890-j64x6f5r 45 3 end end NN cord-267890-j64x6f5r 45 4 , , , cord-267890-j64x6f5r 45 5 we -PRON- PRP cord-267890-j64x6f5r 45 6 sought seek VBD cord-267890-j64x6f5r 45 7 to to TO cord-267890-j64x6f5r 45 8 estimate estimate VB cord-267890-j64x6f5r 45 9 the the DT cord-267890-j64x6f5r 45 10 parameters parameter NNS cord-267890-j64x6f5r 45 11 noted note VBN cord-267890-j64x6f5r 45 12 above above RB cord-267890-j64x6f5r 45 13 , , , cord-267890-j64x6f5r 45 14 using use VBG cord-267890-j64x6f5r 45 15 simulated simulated JJ cord-267890-j64x6f5r 45 16 measurements measurement NNS cord-267890-j64x6f5r 45 17 representing represent VBG cord-267890-j64x6f5r 45 18 a a DT cord-267890-j64x6f5r 45 19 metropolitan metropolitan JJ cord-267890-j64x6f5r 45 20 - - HYPH cord-267890-j64x6f5r 45 21 area area NN cord-267890-j64x6f5r 45 22 population population NN cord-267890-j64x6f5r 45 23 loosely loosely RB cord-267890-j64x6f5r 45 24 based base VBN cord-267890-j64x6f5r 45 25 on on IN cord-267890-j64x6f5r 45 26 New New NNP cord-267890-j64x6f5r 45 27 York York NNP cord-267890-j64x6f5r 45 28 City City NNP cord-267890-j64x6f5r 45 29 . . . cord-267890-j64x6f5r 46 1 We -PRON- PRP cord-267890-j64x6f5r 46 2 examined examine VBD cord-267890-j64x6f5r 46 3 the the DT cord-267890-j64x6f5r 46 4 sensitivity sensitivity NN cord-267890-j64x6f5r 46 5 of of IN cord-267890-j64x6f5r 46 6 estimations estimation NNS cord-267890-j64x6f5r 46 7 to to IN cord-267890-j64x6f5r 46 8 : : : cord-267890-j64x6f5r 46 9 i i LS cord-267890-j64x6f5r 46 10 ) ) -RRB- cord-267890-j64x6f5r 46 11 the the DT cord-267890-j64x6f5r 46 12 subpopulations subpopulation NNS cord-267890-j64x6f5r 46 13 that that WDT cord-267890-j64x6f5r 46 14 were be VBD cord-267890-j64x6f5r 46 15 sampled sample VBN cord-267890-j64x6f5r 46 16 , , , cord-267890-j64x6f5r 46 17 ii ii LS cord-267890-j64x6f5r 46 18 ) ) -RRB- cord-267890-j64x6f5r 46 19 the the DT cord-267890-j64x6f5r 46 20 temporal temporal JJ cord-267890-j64x6f5r 46 21 baseline baseline NN cord-267890-j64x6f5r 46 22 of of IN cord-267890-j64x6f5r 46 23 sampling sampling NN cord-267890-j64x6f5r 46 24 , , , cord-267890-j64x6f5r 46 25 and and CC cord-267890-j64x6f5r 46 26 iii iii LS cord-267890-j64x6f5r 46 27 ) ) -RRB- cord-267890-j64x6f5r 46 28 uncertainty uncertainty NN cord-267890-j64x6f5r 46 29 in in IN cord-267890-j64x6f5r 46 30 the the DT cord-267890-j64x6f5r 46 31 sampling sampling NN cord-267890-j64x6f5r 46 32 . . . cord-267890-j64x6f5r 47 1 Our -PRON- PRP$ cord-267890-j64x6f5r 47 2 findings finding NNS cord-267890-j64x6f5r 47 3 using use VBG cord-267890-j64x6f5r 47 4 simulated simulated JJ cord-267890-j64x6f5r 47 5 data datum NNS cord-267890-j64x6f5r 47 6 are be VBP cord-267890-j64x6f5r 47 7 threefold threefold JJ cord-267890-j64x6f5r 47 8 . . . cord-267890-j64x6f5r 48 1 First first RB cord-267890-j64x6f5r 48 2 , , , cord-267890-j64x6f5r 48 3 reasonable reasonable JJ cord-267890-j64x6f5r 48 4 estimations estimation NNS cord-267890-j64x6f5r 48 5 of of IN cord-267890-j64x6f5r 48 6 time time NN cord-267890-j64x6f5r 48 7 - - HYPH cord-267890-j64x6f5r 48 8 varying vary VBG cord-267890-j64x6f5r 48 9 detection detection NN cord-267890-j64x6f5r 48 10 probabilities probability NNS cord-267890-j64x6f5r 48 11 require require VBP cord-267890-j64x6f5r 48 12 the the DT cord-267890-j64x6f5r 48 13 reporting reporting NN cord-267890-j64x6f5r 48 14 of of IN cord-267890-j64x6f5r 48 15 new new JJ cord-267890-j64x6f5r 48 16 detected detected JJ cord-267890-j64x6f5r 48 17 cases case NNS cord-267890-j64x6f5r 48 18 ( ( -LRB- cord-267890-j64x6f5r 48 19 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 48 20 and and CC cord-267890-j64x6f5r 48 21 symptomatic symptomatic JJ cord-267890-j64x6f5r 48 22 ) ) -RRB- cord-267890-j64x6f5r 48 23 , , , cord-267890-j64x6f5r 48 24 dead dead JJ cord-267890-j64x6f5r 48 25 , , , cord-267890-j64x6f5r 48 26 and and CC cord-267890-j64x6f5r 48 27 recovered recover VBD cord-267890-j64x6f5r 48 28 , , , cord-267890-j64x6f5r 48 29 and and CC cord-267890-j64x6f5r 48 30 low low JJ cord-267890-j64x6f5r 48 31 ( ( -LRB- cord-267890-j64x6f5r 48 32 ∼ ∼ NNP cord-267890-j64x6f5r 48 33 ten ten CD cord-267890-j64x6f5r 48 34 percent percent NN cord-267890-j64x6f5r 48 35 ) ) -RRB- cord-267890-j64x6f5r 48 36 noise noise NN cord-267890-j64x6f5r 48 37 is be VBZ cord-267890-j64x6f5r 48 38 well well RB cord-267890-j64x6f5r 48 39 tolerated tolerate VBN cord-267890-j64x6f5r 48 40 . . . cord-267890-j64x6f5r 49 1 Second second RB cord-267890-j64x6f5r 49 2 , , , cord-267890-j64x6f5r 49 3 the the DT cord-267890-j64x6f5r 49 4 information information NN cord-267890-j64x6f5r 49 5 contained contain VBN cord-267890-j64x6f5r 49 6 in in IN cord-267890-j64x6f5r 49 7 the the DT cord-267890-j64x6f5r 49 8 measured measure VBN cord-267890-j64x6f5r 49 9 detected detect VBN cord-267890-j64x6f5r 49 10 populations population NNS cord-267890-j64x6f5r 49 11 propagates propagate VBZ cord-267890-j64x6f5r 49 12 successfully successfully RB cord-267890-j64x6f5r 49 13 to to IN cord-267890-j64x6f5r 49 14 the the DT cord-267890-j64x6f5r 49 15 estimation estimation NN cord-267890-j64x6f5r 49 16 of of IN cord-267890-j64x6f5r 49 17 the the DT cord-267890-j64x6f5r 49 18 numbers number NNS cord-267890-j64x6f5r 49 19 of of IN cord-267890-j64x6f5r 49 20 undetected undetected JJ cord-267890-j64x6f5r 49 21 cases case NNS cord-267890-j64x6f5r 49 22 entering enter VBG cord-267890-j64x6f5r 49 23 hospitals hospital NNS cord-267890-j64x6f5r 49 24 . . . cord-267890-j64x6f5r 50 1 Third third RB cord-267890-j64x6f5r 50 2 , , , cord-267890-j64x6f5r 50 3 a a DT cord-267890-j64x6f5r 50 4 temporal temporal JJ cord-267890-j64x6f5r 50 5 baseline baseline NN cord-267890-j64x6f5r 50 6 of of IN cord-267890-j64x6f5r 50 7 112 112 CD cord-267890-j64x6f5r 50 8 days day NNS cord-267890-j64x6f5r 50 9 ( ( -LRB- cord-267890-j64x6f5r 50 10 the the DT cord-267890-j64x6f5r 50 11 recent recent JJ cord-267890-j64x6f5r 50 12 past past NN cord-267890-j64x6f5r 50 13 ) ) -RRB- cord-267890-j64x6f5r 50 14 is be VBZ cord-267890-j64x6f5r 50 15 sufficiently sufficiently RB cord-267890-j64x6f5r 50 16 long long JJ cord-267890-j64x6f5r 50 17 for for IN cord-267890-j64x6f5r 50 18 the the DT cord-267890-j64x6f5r 50 19 SDA SDA NNP cord-267890-j64x6f5r 50 20 procedure procedure NN cord-267890-j64x6f5r 50 21 to to TO cord-267890-j64x6f5r 50 22 capture capture VB cord-267890-j64x6f5r 50 23 the the DT cord-267890-j64x6f5r 50 24 general general JJ cord-267890-j64x6f5r 50 25 trends trend NNS cord-267890-j64x6f5r 50 26 in in IN cord-267890-j64x6f5r 50 27 the the DT cord-267890-j64x6f5r 50 28 evolution evolution NN cord-267890-j64x6f5r 50 29 of of IN cord-267890-j64x6f5r 50 30 the the DT cord-267890-j64x6f5r 50 31 model model NN cord-267890-j64x6f5r 50 32 populations population NNS cord-267890-j64x6f5r 50 33 , , , cord-267890-j64x6f5r 50 34 the the DT cord-267890-j64x6f5r 50 35 detection detection NN cord-267890-j64x6f5r 50 36 probabilities probability NNS cord-267890-j64x6f5r 50 37 , , , cord-267890-j64x6f5r 50 38 and and CC cord-267890-j64x6f5r 50 39 the the DT cord-267890-j64x6f5r 50 40 time time NN cord-267890-j64x6f5r 50 41 - - HYPH cord-267890-j64x6f5r 50 42 varying vary VBG cord-267890-j64x6f5r 50 43 transmission transmission NN cord-267890-j64x6f5r 50 44 rate rate NN cord-267890-j64x6f5r 50 45 following follow VBG cord-267890-j64x6f5r 50 46 the the DT cord-267890-j64x6f5r 50 47 implementation implementation NN cord-267890-j64x6f5r 50 48 of of IN cord-267890-j64x6f5r 50 49 social social JJ cord-267890-j64x6f5r 50 50 distancing distancing NN cord-267890-j64x6f5r 50 51 . . . cord-267890-j64x6f5r 51 1 The the DT cord-267890-j64x6f5r 51 2 transmission transmission NN cord-267890-j64x6f5r 51 3 rate rate NN cord-267890-j64x6f5r 51 4 at at IN cord-267890-j64x6f5r 51 5 early early JJ cord-267890-j64x6f5r 51 6 times time NNS cord-267890-j64x6f5r 51 7 is be VBZ cord-267890-j64x6f5r 51 8 highly highly RB cord-267890-j64x6f5r 51 9 sensitive sensitive JJ cord-267890-j64x6f5r 51 10 to to IN cord-267890-j64x6f5r 51 11 contamination contamination NN cord-267890-j64x6f5r 51 12 in in IN cord-267890-j64x6f5r 51 13 the the DT cord-267890-j64x6f5r 51 14 measurements measurement NNS cord-267890-j64x6f5r 51 15 and and CC cord-267890-j64x6f5r 51 16 to to IN cord-267890-j64x6f5r 51 17 the the DT cord-267890-j64x6f5r 51 18 temporal temporal JJ cord-267890-j64x6f5r 51 19 baseline baseline NN cord-267890-j64x6f5r 51 20 of of IN cord-267890-j64x6f5r 51 21 sampling sampling NN cord-267890-j64x6f5r 51 22 . . . cord-267890-j64x6f5r 52 1 Finally finally RB cord-267890-j64x6f5r 52 2 , , , cord-267890-j64x6f5r 52 3 we -PRON- PRP cord-267890-j64x6f5r 52 4 test test VBP cord-267890-j64x6f5r 52 5 the the DT cord-267890-j64x6f5r 52 6 procedure procedure NN cord-267890-j64x6f5r 52 7 on on IN cord-267890-j64x6f5r 52 8 real real JJ cord-267890-j64x6f5r 52 9 data datum NNS cord-267890-j64x6f5r 52 10 , , , cord-267890-j64x6f5r 52 11 using use VBG cord-267890-j64x6f5r 52 12 the the DT cord-267890-j64x6f5r 52 13 reports report NNS cord-267890-j64x6f5r 52 14 from from IN cord-267890-j64x6f5r 52 15 Italy Italy NNP cord-267890-j64x6f5r 52 16 that that WDT cord-267890-j64x6f5r 52 17 are be VBP cord-267890-j64x6f5r 52 18 listed list VBN cord-267890-j64x6f5r 52 19 in in IN cord-267890-j64x6f5r 52 20 the the DT cord-267890-j64x6f5r 52 21 open open JJ cord-267890-j64x6f5r 52 22 - - HYPH cord-267890-j64x6f5r 52 23 access access NN cord-267890-j64x6f5r 52 24 github github NN cord-267890-j64x6f5r 52 25 repository repository NN cord-267890-j64x6f5r 52 26 of of IN cord-267890-j64x6f5r 52 27 the the DT cord-267890-j64x6f5r 52 28 Johns Johns NNP cord-267890-j64x6f5r 52 29 Hopkins Hopkins NNP cord-267890-j64x6f5r 52 30 project project NN cord-267890-j64x6f5r 52 31 Systems Systems NNPS cord-267890-j64x6f5r 52 32 Science Science NNP cord-267890-j64x6f5r 52 33 and and CC cord-267890-j64x6f5r 52 34 Engineering Engineering NNP cord-267890-j64x6f5r 52 35 [ [ -LRB- cord-267890-j64x6f5r 52 36 24 24 CD cord-267890-j64x6f5r 52 37 ] ] -RRB- cord-267890-j64x6f5r 52 38 . . . cord-267890-j64x6f5r 53 1 The the DT cord-267890-j64x6f5r 53 2 key key JJ cord-267890-j64x6f5r 53 3 sections section NNS cord-267890-j64x6f5r 53 4 to to TO cord-267890-j64x6f5r 53 5 note note VB cord-267890-j64x6f5r 53 6 in in IN cord-267890-j64x6f5r 53 7 this this DT cord-267890-j64x6f5r 53 8 paper paper NN cord-267890-j64x6f5r 53 9 are be VBP cord-267890-j64x6f5r 53 10 : : : cord-267890-j64x6f5r 54 1 The the DT cord-267890-j64x6f5r 54 2 experiments experiment NNS cord-267890-j64x6f5r 54 3 -which -which WDT cord-267890-j64x6f5r 54 4 describes describe VBZ cord-267890-j64x6f5r 54 5 the the DT cord-267890-j64x6f5r 54 6 studies study NNS cord-267890-j64x6f5r 54 7 done do VBN cord-267890-j64x6f5r 54 8 and and CC cord-267890-j64x6f5r 54 9 our -PRON- PRP$ cord-267890-j64x6f5r 54 10 motivations motivation NNS cord-267890-j64x6f5r 54 11 for for IN cord-267890-j64x6f5r 54 12 them -PRON- PRP cord-267890-j64x6f5r 54 13 , , , cord-267890-j64x6f5r 54 14 Results result NNS cord-267890-j64x6f5r 54 15 : : : cord-267890-j64x6f5r 54 16 General General NNP cord-267890-j64x6f5r 54 17 Findings Findings NNPS cord-267890-j64x6f5r 54 18 , , , cord-267890-j64x6f5r 54 19 and and CC cord-267890-j64x6f5r 54 20 Conclusion conclusion NN cord-267890-j64x6f5r 54 21 . . . cord-267890-j64x6f5r 55 1 Finally finally RB cord-267890-j64x6f5r 55 2 , , , cord-267890-j64x6f5r 55 3 we -PRON- PRP cord-267890-j64x6f5r 55 4 comment comment VBP cord-267890-j64x6f5r 55 5 on on IN cord-267890-j64x6f5r 55 6 the the DT cord-267890-j64x6f5r 55 7 model model NN cord-267890-j64x6f5r 55 8 parameters parameter NNS cord-267890-j64x6f5r 55 9 and and CC cord-267890-j64x6f5r 55 10 initial initial JJ cord-267890-j64x6f5r 55 11 conditions condition NNS cord-267890-j64x6f5r 55 12 that that WDT cord-267890-j64x6f5r 55 13 are be VBP cord-267890-j64x6f5r 55 14 taken take VBN cord-267890-j64x6f5r 55 15 in in IN cord-267890-j64x6f5r 55 16 this this DT cord-267890-j64x6f5r 55 17 paper paper NN cord-267890-j64x6f5r 55 18 to to TO cord-267890-j64x6f5r 55 19 be be VB cord-267890-j64x6f5r 55 20 known know VBN cord-267890-j64x6f5r 55 21 quantities quantity NNS cord-267890-j64x6f5r 55 22 . . . cord-267890-j64x6f5r 56 1 As as IN cord-267890-j64x6f5r 56 2 noted note VBN cord-267890-j64x6f5r 56 3 , , , cord-267890-j64x6f5r 56 4 our -PRON- PRP$ cord-267890-j64x6f5r 56 5 aim aim NN cord-267890-j64x6f5r 56 6 is be VBZ cord-267890-j64x6f5r 56 7 to to TO cord-267890-j64x6f5r 56 8 exemplify exemplify VB cord-267890-j64x6f5r 56 9 SDA SDA NNP cord-267890-j64x6f5r 56 10 as as IN cord-267890-j64x6f5r 56 11 a a DT cord-267890-j64x6f5r 56 12 tool tool NN cord-267890-j64x6f5r 56 13 to to TO cord-267890-j64x6f5r 56 14 examine examine VB cord-267890-j64x6f5r 56 15 how how WRB cord-267890-j64x6f5r 56 16 certain certain JJ cord-267890-j64x6f5r 56 17 properties property NNS cord-267890-j64x6f5r 56 18 of of IN cord-267890-j64x6f5r 56 19 data datum NNS cord-267890-j64x6f5r 56 20 impact impact VBP cord-267890-j64x6f5r 56 21 the the DT cord-267890-j64x6f5r 56 22 estimation estimation NN cord-267890-j64x6f5r 56 23 of of IN cord-267890-j64x6f5r 56 24 unknown unknown JJ cord-267890-j64x6f5r 56 25 model model NN cord-267890-j64x6f5r 56 26 parameters parameter NNS cord-267890-j64x6f5r 56 27 . . . cord-267890-j64x6f5r 57 1 As as IN cord-267890-j64x6f5r 57 2 any any DT cord-267890-j64x6f5r 57 3 tool tool NN cord-267890-j64x6f5r 57 4 of of IN cord-267890-j64x6f5r 57 5 possible possible JJ cord-267890-j64x6f5r 57 6 utility utility NN cord-267890-j64x6f5r 57 7 must must MD cord-267890-j64x6f5r 57 8 be be VB cord-267890-j64x6f5r 57 9 brought bring VBN cord-267890-j64x6f5r 57 10 to to TO cord-267890-j64x6f5r 57 11 bear bear VB cord-267890-j64x6f5r 57 12 upon upon IN cord-267890-j64x6f5r 57 13 this this DT cord-267890-j64x6f5r 57 14 situation situation NN cord-267890-j64x6f5r 57 15 in in IN cord-267890-j64x6f5r 57 16 a a DT cord-267890-j64x6f5r 57 17 timely timely JJ cord-267890-j64x6f5r 57 18 manner manner NN cord-267890-j64x6f5r 57 19 , , , cord-267890-j64x6f5r 57 20 we -PRON- PRP cord-267890-j64x6f5r 57 21 made make VBD cord-267890-j64x6f5r 57 22 some some DT cord-267890-j64x6f5r 57 23 assumptions assumption NNS cord-267890-j64x6f5r 57 24 that that WDT cord-267890-j64x6f5r 57 25 do do VBP cord-267890-j64x6f5r 57 26 not not RB cord-267890-j64x6f5r 57 27 reflect reflect VB cord-267890-j64x6f5r 57 28 all all DT cord-267890-j64x6f5r 57 29 that that WDT cord-267890-j64x6f5r 57 30 is be VBZ cord-267890-j64x6f5r 57 31 known know VBN cord-267890-j64x6f5r 57 32 to to IN cord-267890-j64x6f5r 57 33 date date NN cord-267890-j64x6f5r 57 34 about about IN cord-267890-j64x6f5r 57 35 the the DT cord-267890-j64x6f5r 57 36 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 57 37 pandemic pandemic NN cord-267890-j64x6f5r 57 38 . . . cord-267890-j64x6f5r 58 1 It -PRON- PRP cord-267890-j64x6f5r 58 2 is be VBZ cord-267890-j64x6f5r 58 3 important important JJ cord-267890-j64x6f5r 58 4 to to TO cord-267890-j64x6f5r 58 5 test test VB cord-267890-j64x6f5r 58 6 the the DT cord-267890-j64x6f5r 58 7 procedure procedure NN cord-267890-j64x6f5r 58 8 for for IN cord-267890-j64x6f5r 58 9 robustness robustness NN cord-267890-j64x6f5r 58 10 over over IN cord-267890-j64x6f5r 58 11 various various JJ cord-267890-j64x6f5r 58 12 parameter parameter NN cord-267890-j64x6f5r 58 13 ranges range NNS cord-267890-j64x6f5r 58 14 , , , cord-267890-j64x6f5r 58 15 " " `` cord-267890-j64x6f5r 58 16 correct correct JJ cord-267890-j64x6f5r 58 17 " " '' cord-267890-j64x6f5r 58 18 or or CC cord-267890-j64x6f5r 58 19 otherwise otherwise RB cord-267890-j64x6f5r 58 20 . . . cord-267890-j64x6f5r 59 1 Meanwhile meanwhile RB cord-267890-j64x6f5r 59 2 , , , cord-267890-j64x6f5r 59 3 we -PRON- PRP cord-267890-j64x6f5r 59 4 are be VBP cord-267890-j64x6f5r 59 5 testing test VBG cord-267890-j64x6f5r 59 6 the the DT cord-267890-j64x6f5r 59 7 procedure procedure NN cord-267890-j64x6f5r 59 8 's 's POS cord-267890-j64x6f5r 59 9 stablity stablity NN cord-267890-j64x6f5r 59 10 over over IN cord-267890-j64x6f5r 59 11 a a DT cord-267890-j64x6f5r 59 12 wide wide JJ cord-267890-j64x6f5r 59 13 range range NN cord-267890-j64x6f5r 59 14 of of IN cord-267890-j64x6f5r 59 15 choices choice NNS cord-267890-j64x6f5r 59 16 for for IN cord-267890-j64x6f5r 59 17 parameter parameter NN cord-267890-j64x6f5r 59 18 values value NNS cord-267890-j64x6f5r 59 19 and and CC cord-267890-j64x6f5r 59 20 initial initial JJ cord-267890-j64x6f5r 59 21 conditions condition NNS cord-267890-j64x6f5r 59 22 , , , cord-267890-j64x6f5r 59 23 including include VBG cord-267890-j64x6f5r 59 24 those those DT cord-267890-j64x6f5r 59 25 that that WDT cord-267890-j64x6f5r 59 26 reflect reflect VBP cord-267890-j64x6f5r 59 27 most most RBS cord-267890-j64x6f5r 59 28 accurately accurately RB cord-267890-j64x6f5r 59 29 the the DT cord-267890-j64x6f5r 59 30 current current JJ cord-267890-j64x6f5r 59 31 state state NN cord-267890-j64x6f5r 59 32 of of IN cord-267890-j64x6f5r 59 33 our -PRON- PRP$ cord-267890-j64x6f5r 59 34 knowledge knowledge NN cord-267890-j64x6f5r 59 35 of of IN cord-267890-j64x6f5r 59 36 the the DT cord-267890-j64x6f5r 59 37 pandemic pandemic NN cord-267890-j64x6f5r 59 38 . . . cord-267890-j64x6f5r 60 1 Moreover moreover RB cord-267890-j64x6f5r 60 2 , , , cord-267890-j64x6f5r 60 3 is be VBZ cord-267890-j64x6f5r 60 4 our -PRON- PRP$ cord-267890-j64x6f5r 60 5 hope hope NN cord-267890-j64x6f5r 60 6 that that IN cord-267890-j64x6f5r 60 7 the the DT cord-267890-j64x6f5r 60 8 exercises exercise NNS cord-267890-j64x6f5r 60 9 described describe VBN cord-267890-j64x6f5r 60 10 in in IN cord-267890-j64x6f5r 60 11 this this DT cord-267890-j64x6f5r 60 12 paper paper NN cord-267890-j64x6f5r 60 13 can can MD cord-267890-j64x6f5r 60 14 be be VB cord-267890-j64x6f5r 60 15 taken take VBN cord-267890-j64x6f5r 60 16 and and CC cord-267890-j64x6f5r 60 17 applied apply VBN cord-267890-j64x6f5r 60 18 to to IN cord-267890-j64x6f5r 60 19 a a DT cord-267890-j64x6f5r 60 20 host host NN cord-267890-j64x6f5r 60 21 of of IN cord-267890-j64x6f5r 60 22 complicated complicated JJ cord-267890-j64x6f5r 60 23 questions question NNS cord-267890-j64x6f5r 60 24 surrounding surround VBG cord-267890-j64x6f5r 60 25 COVID-19 covid-19 CD cord-267890-j64x6f5r 60 26 . . . cord-267890-j64x6f5r 61 1 The the DT cord-267890-j64x6f5r 61 2 model model NN cord-267890-j64x6f5r 61 3 is be VBZ cord-267890-j64x6f5r 61 4 written write VBN cord-267890-j64x6f5r 61 5 in in IN cord-267890-j64x6f5r 61 6 22 22 CD cord-267890-j64x6f5r 61 7 state state NN cord-267890-j64x6f5r 61 8 variables variable NNS cord-267890-j64x6f5r 61 9 , , , cord-267890-j64x6f5r 61 10 each each DT cord-267890-j64x6f5r 61 11 representing represent VBG cord-267890-j64x6f5r 61 12 a a DT cord-267890-j64x6f5r 61 13 subpopulation subpopulation NN cord-267890-j64x6f5r 61 14 of of IN cord-267890-j64x6f5r 61 15 people people NNS cord-267890-j64x6f5r 61 16 ; ; : cord-267890-j64x6f5r 61 17 the the DT cord-267890-j64x6f5r 61 18 total total JJ cord-267890-j64x6f5r 61 19 population population NN cord-267890-j64x6f5r 61 20 is be VBZ cord-267890-j64x6f5r 61 21 conserved conserve VBN cord-267890-j64x6f5r 61 22 . . . cord-267890-j64x6f5r 62 1 Figure figure NN cord-267890-j64x6f5r 62 2 1 1 CD cord-267890-j64x6f5r 62 3 shows show VBZ cord-267890-j64x6f5r 62 4 a a DT cord-267890-j64x6f5r 62 5 schematic schematic NN cord-267890-j64x6f5r 62 6 . . . cord-267890-j64x6f5r 63 1 Each each DT cord-267890-j64x6f5r 63 2 member member NN cord-267890-j64x6f5r 63 3 of of IN cord-267890-j64x6f5r 63 4 a a DT cord-267890-j64x6f5r 63 5 Population Population NNP cord-267890-j64x6f5r 63 6 S S NNP cord-267890-j64x6f5r 63 7 that that WDT cord-267890-j64x6f5r 63 8 enters enter VBZ cord-267890-j64x6f5r 63 9 an an DT cord-267890-j64x6f5r 63 10 Exposed Exposed NNP cord-267890-j64x6f5r 63 11 Population population NN cord-267890-j64x6f5r 63 12 ( ( -LRB- cord-267890-j64x6f5r 63 13 E E NNP cord-267890-j64x6f5r 63 14 ) ) -RRB- cord-267890-j64x6f5r 63 15 ultimately ultimately RB cord-267890-j64x6f5r 63 16 reaches reach VBZ cord-267890-j64x6f5r 63 17 either either CC cord-267890-j64x6f5r 63 18 Recovered recover VBN cord-267890-j64x6f5r 63 19 ( ( -LRB- cord-267890-j64x6f5r 63 20 R r NN cord-267890-j64x6f5r 63 21 ) ) -RRB- cord-267890-j64x6f5r 63 22 or or CC cord-267890-j64x6f5r 63 23 Dead Dead NNP cord-267890-j64x6f5r 63 24 ( ( -LRB- cord-267890-j64x6f5r 63 25 D D NNP cord-267890-j64x6f5r 63 26 ) ) -RRB- cord-267890-j64x6f5r 63 27 . . . cord-267890-j64x6f5r 64 1 Absent absent JJ cord-267890-j64x6f5r 64 2 additive additive NN cord-267890-j64x6f5r 64 3 noise noise NN cord-267890-j64x6f5r 64 4 , , , cord-267890-j64x6f5r 64 5 the the DT cord-267890-j64x6f5r 64 6 model model NN cord-267890-j64x6f5r 64 7 is be VBZ cord-267890-j64x6f5r 64 8 deterministic deterministic JJ cord-267890-j64x6f5r 64 9 . . . cord-267890-j64x6f5r 65 1 The the DT cord-267890-j64x6f5r 65 2 red red JJ cord-267890-j64x6f5r 65 3 ovals oval NNS cord-267890-j64x6f5r 65 4 indicate indicate VBP cord-267890-j64x6f5r 65 5 the the DT cord-267890-j64x6f5r 65 6 variables variable NNS cord-267890-j64x6f5r 65 7 that that WDT cord-267890-j64x6f5r 65 8 will will MD cord-267890-j64x6f5r 65 9 correspond correspond VB cord-267890-j64x6f5r 65 10 to to IN cord-267890-j64x6f5r 65 11 measured measure VBN cord-267890-j64x6f5r 65 12 quantities quantity NNS cord-267890-j64x6f5r 65 13 in in IN cord-267890-j64x6f5r 65 14 the the DT cord-267890-j64x6f5r 65 15 inference inference NN cord-267890-j64x6f5r 65 16 experiments experiment NNS cord-267890-j64x6f5r 65 17 of of IN cord-267890-j64x6f5r 65 18 this this DT cord-267890-j64x6f5r 65 19 paper paper NN cord-267890-j64x6f5r 65 20 . . . cord-267890-j64x6f5r 66 1 As as IN cord-267890-j64x6f5r 66 2 noted note VBN cord-267890-j64x6f5r 66 3 , , , cord-267890-j64x6f5r 66 4 the the DT cord-267890-j64x6f5r 66 5 model model NN cord-267890-j64x6f5r 66 6 is be VBZ cord-267890-j64x6f5r 66 7 written write VBN cord-267890-j64x6f5r 66 8 with with IN cord-267890-j64x6f5r 66 9 the the DT cord-267890-j64x6f5r 66 10 aim aim NN cord-267890-j64x6f5r 66 11 to to TO cord-267890-j64x6f5r 66 12 inform inform VB cord-267890-j64x6f5r 66 13 policy policy NN cord-267890-j64x6f5r 66 14 1 1 CD cord-267890-j64x6f5r 66 15 on on IN cord-267890-j64x6f5r 66 16 social social JJ cord-267890-j64x6f5r 66 17 behavior behavior NN cord-267890-j64x6f5r 66 18 so so IN cord-267890-j64x6f5r 66 19 as as IN cord-267890-j64x6f5r 66 20 to to TO cord-267890-j64x6f5r 66 21 avoid avoid VB cord-267890-j64x6f5r 66 22 overwhelming overwhelming JJ cord-267890-j64x6f5r 66 23 hospital hospital NN cord-267890-j64x6f5r 66 24 capacity capacity NN cord-267890-j64x6f5r 66 25 . . . cord-267890-j64x6f5r 67 1 To to IN cord-267890-j64x6f5r 67 2 this this DT cord-267890-j64x6f5r 67 3 end end NN cord-267890-j64x6f5r 67 4 , , , cord-267890-j64x6f5r 67 5 the the DT cord-267890-j64x6f5r 67 6 model model NN cord-267890-j64x6f5r 67 7 resolves resolve VBZ cord-267890-j64x6f5r 67 8 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 67 9 - - HYPH cord-267890-j64x6f5r 67 10 versus versus IN cord-267890-j64x6f5r 67 11 - - HYPH cord-267890-j64x6f5r 67 12 symptomatic symptomatic JJ cord-267890-j64x6f5r 67 13 cases case NNS cord-267890-j64x6f5r 67 14 , , , cord-267890-j64x6f5r 67 15 undetectedversus undetectedversus NN cord-267890-j64x6f5r 67 16 - - HYPH cord-267890-j64x6f5r 67 17 detected detect VBN cord-267890-j64x6f5r 67 18 cases case NNS cord-267890-j64x6f5r 67 19 , , , cord-267890-j64x6f5r 67 20 and and CC cord-267890-j64x6f5r 67 21 the the DT cord-267890-j64x6f5r 67 22 two two CD cord-267890-j64x6f5r 67 23 tiers tier NNS cord-267890-j64x6f5r 67 24 of of IN cord-267890-j64x6f5r 67 25 hospitalization hospitalization NN cord-267890-j64x6f5r 67 26 : : : cord-267890-j64x6f5r 67 27 the the DT cord-267890-j64x6f5r 67 28 general general JJ cord-267890-j64x6f5r 67 29 H H NNP cord-267890-j64x6f5r 67 30 versus versus IN cord-267890-j64x6f5r 67 31 the the DT cord-267890-j64x6f5r 67 32 critical critical JJ cord-267890-j64x6f5r 67 33 care care NN cord-267890-j64x6f5r 67 34 C c NN cord-267890-j64x6f5r 67 35 populations population NNS cord-267890-j64x6f5r 67 36 . . . cord-267890-j64x6f5r 68 1 The the DT cord-267890-j64x6f5r 68 2 resolution resolution NN cord-267890-j64x6f5r 68 3 of of IN cord-267890-j64x6f5r 68 4 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 68 5 versus versus IN cord-267890-j64x6f5r 68 6 symptomatic symptomatic JJ cord-267890-j64x6f5r 68 7 cases case NNS cord-267890-j64x6f5r 68 8 was be VBD cord-267890-j64x6f5r 68 9 motivated motivate VBN cord-267890-j64x6f5r 68 10 by by IN cord-267890-j64x6f5r 68 11 an an DT cord-267890-j64x6f5r 68 12 interest interest NN cord-267890-j64x6f5r 68 13 in in IN cord-267890-j64x6f5r 68 14 what what WDT cord-267890-j64x6f5r 68 15 requirements requirement NNS cord-267890-j64x6f5r 68 16 exist exist VBP cord-267890-j64x6f5r 68 17 to to TO cord-267890-j64x6f5r 68 18 control control VB cord-267890-j64x6f5r 68 19 the the DT cord-267890-j64x6f5r 68 20 epidemic epidemic NN cord-267890-j64x6f5r 68 21 . . . cord-267890-j64x6f5r 69 1 For for IN cord-267890-j64x6f5r 69 2 example example NN cord-267890-j64x6f5r 69 3 , , , cord-267890-j64x6f5r 69 4 is be VBZ cord-267890-j64x6f5r 69 5 it -PRON- PRP cord-267890-j64x6f5r 69 6 sufficient sufficient JJ cord-267890-j64x6f5r 69 7 to to TO cord-267890-j64x6f5r 69 8 focus focus VB cord-267890-j64x6f5r 69 9 only only RB cord-267890-j64x6f5r 69 10 on on IN cord-267890-j64x6f5r 69 11 symptomatic symptomatic JJ cord-267890-j64x6f5r 69 12 individuals individual NNS cord-267890-j64x6f5r 69 13 , , , cord-267890-j64x6f5r 69 14 or or CC cord-267890-j64x6f5r 69 15 must must MD cord-267890-j64x6f5r 69 16 we -PRON- PRP cord-267890-j64x6f5r 69 17 also also RB cord-267890-j64x6f5r 69 18 target target VB cord-267890-j64x6f5r 69 19 and and CC cord-267890-j64x6f5r 69 20 address address VB cord-267890-j64x6f5r 69 21 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 69 22 individuals individual NNS cord-267890-j64x6f5r 69 23 who who WP cord-267890-j64x6f5r 69 24 are be VBP cord-267890-j64x6f5r 69 25 not not RB cord-267890-j64x6f5r 69 26 personally personally RB cord-267890-j64x6f5r 69 27 suffering suffer VBG cord-267890-j64x6f5r 69 28 from from IN cord-267890-j64x6f5r 69 29 disease disease NN cord-267890-j64x6f5r 69 30 ? ? . cord-267890-j64x6f5r 70 1 1 1 LS cord-267890-j64x6f5r 71 1 Many many JJ cord-267890-j64x6f5r 71 2 details detail NNS cord-267890-j64x6f5r 71 3 of of IN cord-267890-j64x6f5r 71 4 this this DT cord-267890-j64x6f5r 71 5 model model NN cord-267890-j64x6f5r 71 6 , , , cord-267890-j64x6f5r 71 7 including include VBG cord-267890-j64x6f5r 71 8 compartmentalization compartmentalization NN cord-267890-j64x6f5r 71 9 by by IN cord-267890-j64x6f5r 71 10 age age NN cord-267890-j64x6f5r 71 11 and and CC cord-267890-j64x6f5r 71 12 geographic geographic JJ cord-267890-j64x6f5r 71 13 region region NN cord-267890-j64x6f5r 71 14 , , , cord-267890-j64x6f5r 71 15 are be VBP cord-267890-j64x6f5r 71 16 omitted omit VBN cord-267890-j64x6f5r 71 17 from from IN cord-267890-j64x6f5r 71 18 exploration exploration NN cord-267890-j64x6f5r 71 19 in in IN cord-267890-j64x6f5r 71 20 this this DT cord-267890-j64x6f5r 71 21 paper paper NN cord-267890-j64x6f5r 71 22 . . . cord-267890-j64x6f5r 72 1 Figure figure NN cord-267890-j64x6f5r 72 2 1 1 CD cord-267890-j64x6f5r 72 3 : : : cord-267890-j64x6f5r 72 4 Schematic schematic NN cord-267890-j64x6f5r 72 5 of of IN cord-267890-j64x6f5r 72 6 the the DT cord-267890-j64x6f5r 72 7 model model NN cord-267890-j64x6f5r 72 8 . . . cord-267890-j64x6f5r 73 1 Each each DT cord-267890-j64x6f5r 73 2 rectangle rectangle NN cord-267890-j64x6f5r 73 3 represents represent VBZ cord-267890-j64x6f5r 73 4 a a DT cord-267890-j64x6f5r 73 5 population population NN cord-267890-j64x6f5r 73 6 . . . cord-267890-j64x6f5r 74 1 Note note VB cord-267890-j64x6f5r 74 2 the the DT cord-267890-j64x6f5r 74 3 distinction distinction NN cord-267890-j64x6f5r 74 4 of of IN cord-267890-j64x6f5r 74 5 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 74 6 cases case NNS cord-267890-j64x6f5r 74 7 , , , cord-267890-j64x6f5r 74 8 undetected undetected JJ cord-267890-j64x6f5r 74 9 cases case NNS cord-267890-j64x6f5r 74 10 , , , cord-267890-j64x6f5r 74 11 and and CC cord-267890-j64x6f5r 74 12 the the DT cord-267890-j64x6f5r 74 13 two two CD cord-267890-j64x6f5r 74 14 tiers tier NNS cord-267890-j64x6f5r 74 15 of of IN cord-267890-j64x6f5r 74 16 hospitalized hospitalize VBN cord-267890-j64x6f5r 74 17 care care NN cord-267890-j64x6f5r 74 18 : : : cord-267890-j64x6f5r 74 19 H H NNP cord-267890-j64x6f5r 74 20 and and CC cord-267890-j64x6f5r 74 21 C. C. NNP cord-267890-j64x6f5r 75 1 The the DT cord-267890-j64x6f5r 75 2 aim aim NN cord-267890-j64x6f5r 75 3 of of IN cord-267890-j64x6f5r 75 4 including include VBG cord-267890-j64x6f5r 75 5 this this DT cord-267890-j64x6f5r 75 6 degree degree NN cord-267890-j64x6f5r 75 7 of of IN cord-267890-j64x6f5r 75 8 resolution resolution NN cord-267890-j64x6f5r 75 9 is be VBZ cord-267890-j64x6f5r 75 10 to to TO cord-267890-j64x6f5r 75 11 inform inform VB cord-267890-j64x6f5r 75 12 policy policy NN cord-267890-j64x6f5r 75 13 on on IN cord-267890-j64x6f5r 75 14 social social JJ cord-267890-j64x6f5r 75 15 behavior behavior NN cord-267890-j64x6f5r 75 16 so so IN cord-267890-j64x6f5r 75 17 as as IN cord-267890-j64x6f5r 75 18 to to TO cord-267890-j64x6f5r 75 19 minimize minimize VB cord-267890-j64x6f5r 75 20 strain strain NN cord-267890-j64x6f5r 75 21 on on IN cord-267890-j64x6f5r 75 22 hospital hospital NN cord-267890-j64x6f5r 75 23 capacity capacity NN cord-267890-j64x6f5r 75 24 . . . cord-267890-j64x6f5r 76 1 The the DT cord-267890-j64x6f5r 76 2 red red JJ cord-267890-j64x6f5r 76 3 ovals oval NNS cord-267890-j64x6f5r 76 4 indicate indicate VBP cord-267890-j64x6f5r 76 5 the the DT cord-267890-j64x6f5r 76 6 variables variable NNS cord-267890-j64x6f5r 76 7 that that WDT cord-267890-j64x6f5r 76 8 correspond correspond VBP cord-267890-j64x6f5r 76 9 to to IN cord-267890-j64x6f5r 76 10 measured measure VBN cord-267890-j64x6f5r 76 11 quantities quantity NNS cord-267890-j64x6f5r 76 12 in in IN cord-267890-j64x6f5r 76 13 the the DT cord-267890-j64x6f5r 76 14 inference inference NN cord-267890-j64x6f5r 76 15 experiments experiment NNS cord-267890-j64x6f5r 76 16 of of IN cord-267890-j64x6f5r 76 17 this this DT cord-267890-j64x6f5r 76 18 paper paper NN cord-267890-j64x6f5r 76 19 . . . cord-267890-j64x6f5r 77 1 The the DT cord-267890-j64x6f5r 77 2 detected detected JJ cord-267890-j64x6f5r 77 3 and and CC cord-267890-j64x6f5r 77 4 undetected undetected JJ cord-267890-j64x6f5r 77 5 populations population NNS cord-267890-j64x6f5r 77 6 exist exist VBP cord-267890-j64x6f5r 77 7 for for IN cord-267890-j64x6f5r 77 8 two two CD cord-267890-j64x6f5r 77 9 reasons reason NNS cord-267890-j64x6f5r 77 10 . . . cord-267890-j64x6f5r 78 1 First first RB cord-267890-j64x6f5r 78 2 , , , cord-267890-j64x6f5r 78 3 we -PRON- PRP cord-267890-j64x6f5r 78 4 seek seek VBP cord-267890-j64x6f5r 78 5 to to TO cord-267890-j64x6f5r 78 6 account account VB cord-267890-j64x6f5r 78 7 for for IN cord-267890-j64x6f5r 78 8 underreporting underreporting NN cord-267890-j64x6f5r 78 9 of of IN cord-267890-j64x6f5r 78 10 cases case NNS cord-267890-j64x6f5r 78 11 and and CC cord-267890-j64x6f5r 78 12 deaths death NNS cord-267890-j64x6f5r 78 13 . . . cord-267890-j64x6f5r 79 1 Second second RB cord-267890-j64x6f5r 79 2 , , , cord-267890-j64x6f5r 79 3 we -PRON- PRP cord-267890-j64x6f5r 79 4 will will MD cord-267890-j64x6f5r 79 5 eventually eventually RB cord-267890-j64x6f5r 79 6 seek seek VB cord-267890-j64x6f5r 79 7 a a DT cord-267890-j64x6f5r 79 8 model model NN cord-267890-j64x6f5r 79 9 structure structure NN cord-267890-j64x6f5r 79 10 that that WDT cord-267890-j64x6f5r 79 11 can can MD cord-267890-j64x6f5r 79 12 simulate simulate VB cord-267890-j64x6f5r 79 13 the the DT cord-267890-j64x6f5r 79 14 impact impact NN cord-267890-j64x6f5r 79 15 of of IN cord-267890-j64x6f5r 79 16 increasing increase VBG cord-267890-j64x6f5r 79 17 detection detection NN cord-267890-j64x6f5r 79 18 rates rate NNS cord-267890-j64x6f5r 79 19 on on IN cord-267890-j64x6f5r 79 20 disease disease NN cord-267890-j64x6f5r 79 21 transmission transmission NN cord-267890-j64x6f5r 79 22 , , , cord-267890-j64x6f5r 79 23 including include VBG cord-267890-j64x6f5r 79 24 the the DT cord-267890-j64x6f5r 79 25 impact impact NN cord-267890-j64x6f5r 79 26 of of IN cord-267890-j64x6f5r 79 27 contact contact NN cord-267890-j64x6f5r 79 28 tracing tracing NN cord-267890-j64x6f5r 79 29 . . . cord-267890-j64x6f5r 80 1 Thus thus RB cord-267890-j64x6f5r 80 2 the the DT cord-267890-j64x6f5r 80 3 model model NN cord-267890-j64x6f5r 80 4 was be VBD cord-267890-j64x6f5r 80 5 structured structure VBN cord-267890-j64x6f5r 80 6 from from IN cord-267890-j64x6f5r 80 7 the the DT cord-267890-j64x6f5r 80 8 beginning beginning NN cord-267890-j64x6f5r 80 9 so so IN cord-267890-j64x6f5r 80 10 that that IN cord-267890-j64x6f5r 80 11 we -PRON- PRP cord-267890-j64x6f5r 80 12 might may MD cord-267890-j64x6f5r 80 13 examine examine VB cord-267890-j64x6f5r 80 14 the the DT cord-267890-j64x6f5r 80 15 effects effect NNS cord-267890-j64x6f5r 80 16 of of IN cord-267890-j64x6f5r 80 17 interventions intervention NNS cord-267890-j64x6f5r 80 18 that that WDT cord-267890-j64x6f5r 80 19 were be VBD cord-267890-j64x6f5r 80 20 imposed impose VBN cord-267890-j64x6f5r 80 21 later later RB cord-267890-j64x6f5r 80 22 on on RB cord-267890-j64x6f5r 80 23 . . . cord-267890-j64x6f5r 81 1 The the DT cord-267890-j64x6f5r 81 2 ultimate ultimate JJ cord-267890-j64x6f5r 81 3 aim aim NN cord-267890-j64x6f5r 81 4 here here RB cord-267890-j64x6f5r 81 5 is be VBZ cord-267890-j64x6f5r 81 6 to to TO cord-267890-j64x6f5r 81 7 inform inform VB cord-267890-j64x6f5r 81 8 policy policy NN cord-267890-j64x6f5r 81 9 on on IN cord-267890-j64x6f5r 81 10 the the DT cord-267890-j64x6f5r 81 11 requirements requirement NNS cord-267890-j64x6f5r 81 12 for for IN cord-267890-j64x6f5r 81 13 containing contain VBG cord-267890-j64x6f5r 81 14 the the DT cord-267890-j64x6f5r 81 15 epidemic epidemic NN cord-267890-j64x6f5r 81 16 . . . cord-267890-j64x6f5r 82 1 We -PRON- PRP cord-267890-j64x6f5r 82 2 included include VBD cord-267890-j64x6f5r 82 3 both both DT cord-267890-j64x6f5r 82 4 H H NNP cord-267890-j64x6f5r 82 5 and and CC cord-267890-j64x6f5r 82 6 C C NNP cord-267890-j64x6f5r 82 7 populations population NNS cord-267890-j64x6f5r 82 8 because because IN cord-267890-j64x6f5r 82 9 hospital hospital NN cord-267890-j64x6f5r 82 10 inpatient inpatient NN cord-267890-j64x6f5r 82 11 and and CC cord-267890-j64x6f5r 82 12 ICU ICU NNP cord-267890-j64x6f5r 82 13 bed bed NN cord-267890-j64x6f5r 82 14 capacities capacity NNS cord-267890-j64x6f5r 82 15 are be VBP cord-267890-j64x6f5r 82 16 the the DT cord-267890-j64x6f5r 82 17 key key JJ cord-267890-j64x6f5r 82 18 health health NN cord-267890-j64x6f5r 82 19 system system NN cord-267890-j64x6f5r 82 20 metrics metric NNS cord-267890-j64x6f5r 82 21 that that WDT cord-267890-j64x6f5r 82 22 we -PRON- PRP cord-267890-j64x6f5r 82 23 aim aim VBP cord-267890-j64x6f5r 82 24 to to TO cord-267890-j64x6f5r 82 25 avoid avoid VB cord-267890-j64x6f5r 82 26 straining strain VBG cord-267890-j64x6f5r 82 27 . . . cord-267890-j64x6f5r 83 1 Any any DT cord-267890-j64x6f5r 83 2 policy policy NN cord-267890-j64x6f5r 83 3 that that WDT cord-267890-j64x6f5r 83 4 we -PRON- PRP cord-267890-j64x6f5r 83 5 consider consider VBP cord-267890-j64x6f5r 83 6 must must MD cord-267890-j64x6f5r 83 7 include include VB cord-267890-j64x6f5r 83 8 predictions prediction NNS cord-267890-j64x6f5r 83 9 on on IN cord-267890-j64x6f5r 83 10 inpatient inpatient JJ cord-267890-j64x6f5r 83 11 and and CC cord-267890-j64x6f5r 83 12 ICU ICU NNP cord-267890-j64x6f5r 83 13 bed bed NN cord-267890-j64x6f5r 83 14 needs need VBZ cord-267890-j64x6f5r 83 15 . . . cord-267890-j64x6f5r 84 1 Preparing prepare VBG cord-267890-j64x6f5r 84 2 for for IN cord-267890-j64x6f5r 84 3 those those DT cord-267890-j64x6f5r 84 4 needs need NNS cord-267890-j64x6f5r 84 5 is be VBZ cord-267890-j64x6f5r 84 6 a a DT cord-267890-j64x6f5r 84 7 key key JJ cord-267890-j64x6f5r 84 8 response response NN cord-267890-j64x6f5r 84 9 need need NN cord-267890-j64x6f5r 84 10 if if IN cord-267890-j64x6f5r 84 11 or or CC cord-267890-j64x6f5r 84 12 when when WRB cord-267890-j64x6f5r 84 13 the the DT cord-267890-j64x6f5r 84 14 epidemic epidemic NN cord-267890-j64x6f5r 84 15 grows grow VBZ cord-267890-j64x6f5r 84 16 uncontrolled uncontrolled JJ cord-267890-j64x6f5r 84 17 . . . cord-267890-j64x6f5r 85 1 Note note VB cord-267890-j64x6f5r 85 2 on on IN cord-267890-j64x6f5r 85 3 Figure figure NN cord-267890-j64x6f5r 85 4 1 1 CD cord-267890-j64x6f5r 85 5 the the DT cord-267890-j64x6f5r 85 6 return return NN cord-267890-j64x6f5r 85 7 arrow arrow NN cord-267890-j64x6f5r 85 8 from from IN cord-267890-j64x6f5r 85 9 the the DT cord-267890-j64x6f5r 85 10 recovered recovered JJ cord-267890-j64x6f5r 85 11 R r NN cord-267890-j64x6f5r 85 12 to to TO cord-267890-j64x6f5r 85 13 susceptible susceptible JJ cord-267890-j64x6f5r 85 14 S S NNP cord-267890-j64x6f5r 85 15 population population NN cord-267890-j64x6f5r 85 16 . . . cord-267890-j64x6f5r 86 1 The the DT cord-267890-j64x6f5r 86 2 return return NN cord-267890-j64x6f5r 86 3 of of IN cord-267890-j64x6f5r 86 4 any any DT cord-267890-j64x6f5r 86 5 portion portion NN cord-267890-j64x6f5r 86 6 of of IN cord-267890-j64x6f5r 86 7 R r NN cord-267890-j64x6f5r 86 8 to to IN cord-267890-j64x6f5r 86 9 S S NNP cord-267890-j64x6f5r 86 10 is be VBZ cord-267890-j64x6f5r 86 11 believed believe VBN cord-267890-j64x6f5r 86 12 to to TO cord-267890-j64x6f5r 86 13 be be VB cord-267890-j64x6f5r 86 14 zero zero CD cord-267890-j64x6f5r 86 15 . . . cord-267890-j64x6f5r 87 1 Nevertheless nevertheless RB cord-267890-j64x6f5r 87 2 , , , cord-267890-j64x6f5r 87 3 we -PRON- PRP cord-267890-j64x6f5r 87 4 assayed assay VBD cord-267890-j64x6f5r 87 5 the the DT cord-267890-j64x6f5r 87 6 ability ability NN cord-267890-j64x6f5r 87 7 of of IN cord-267890-j64x6f5r 87 8 SDA SDA NNP cord-267890-j64x6f5r 87 9 to to TO cord-267890-j64x6f5r 87 10 assimilate assimilate VB cord-267890-j64x6f5r 87 11 some some DT cord-267890-j64x6f5r 87 12 portion portion NN cord-267890-j64x6f5r 87 13 of of IN cord-267890-j64x6f5r 87 14 R r NN cord-267890-j64x6f5r 87 15 back back RB cord-267890-j64x6f5r 87 16 into into IN cord-267890-j64x6f5r 87 17 S S NNP cord-267890-j64x6f5r 87 18 , , , cord-267890-j64x6f5r 87 19 as as IN cord-267890-j64x6f5r 87 20 a a DT cord-267890-j64x6f5r 87 21 proof proof NN cord-267890-j64x6f5r 87 22 - - HYPH cord-267890-j64x6f5r 87 23 of of IN cord-267890-j64x6f5r 87 24 - - HYPH cord-267890-j64x6f5r 87 25 principle principle NN cord-267890-j64x6f5r 87 26 that that IN cord-267890-j64x6f5r 87 27 it -PRON- PRP cord-267890-j64x6f5r 87 28 can can MD cord-267890-j64x6f5r 87 29 be be VB cord-267890-j64x6f5r 87 30 done do VBN cord-267890-j64x6f5r 87 31 readily readily RB cord-267890-j64x6f5r 87 32 . . . cord-267890-j64x6f5r 88 1 For for IN cord-267890-j64x6f5r 88 2 details detail NNS cord-267890-j64x6f5r 88 3 of of IN cord-267890-j64x6f5r 88 4 the the DT cord-267890-j64x6f5r 88 5 model model NN cord-267890-j64x6f5r 88 6 , , , cord-267890-j64x6f5r 88 7 including include VBG cord-267890-j64x6f5r 88 8 the the DT cord-267890-j64x6f5r 88 9 reaction reaction NN cord-267890-j64x6f5r 88 10 equations equation NNS cord-267890-j64x6f5r 88 11 and and CC cord-267890-j64x6f5r 88 12 descriptions description NNS cord-267890-j64x6f5r 88 13 of of IN cord-267890-j64x6f5r 88 14 all all DT cord-267890-j64x6f5r 88 15 state state NN cord-267890-j64x6f5r 88 16 variables variable NNS cord-267890-j64x6f5r 88 17 and and CC cord-267890-j64x6f5r 88 18 parameters parameter NNS cord-267890-j64x6f5r 88 19 , , , cord-267890-j64x6f5r 88 20 see see VB cord-267890-j64x6f5r 88 21 Appendix Appendix NNP cord-267890-j64x6f5r 88 22 A. a. NN cord-267890-j64x6f5r 88 23 SDA SDA NNP cord-267890-j64x6f5r 88 24 is be VBZ cord-267890-j64x6f5r 88 25 an an DT cord-267890-j64x6f5r 88 26 inference inference NN cord-267890-j64x6f5r 88 27 procedure procedure NN cord-267890-j64x6f5r 88 28 , , , cord-267890-j64x6f5r 88 29 or or CC cord-267890-j64x6f5r 88 30 a a DT cord-267890-j64x6f5r 88 31 type type NN cord-267890-j64x6f5r 88 32 of of IN cord-267890-j64x6f5r 88 33 machine machine NN cord-267890-j64x6f5r 88 34 learning learning NN cord-267890-j64x6f5r 88 35 , , , cord-267890-j64x6f5r 88 36 in in IN cord-267890-j64x6f5r 88 37 which which WDT cord-267890-j64x6f5r 88 38 a a DT cord-267890-j64x6f5r 88 39 model model NN cord-267890-j64x6f5r 88 40 dynamical dynamical JJ cord-267890-j64x6f5r 88 41 system system NN cord-267890-j64x6f5r 88 42 is be VBZ cord-267890-j64x6f5r 88 43 assumed assume VBN cord-267890-j64x6f5r 88 44 to to TO cord-267890-j64x6f5r 88 45 underlie underlie VB cord-267890-j64x6f5r 88 46 any any DT cord-267890-j64x6f5r 88 47 measured measure VBN cord-267890-j64x6f5r 88 48 quantities quantity NNS cord-267890-j64x6f5r 88 49 . . . cord-267890-j64x6f5r 89 1 This this DT cord-267890-j64x6f5r 89 2 model model NN cord-267890-j64x6f5r 89 3 F F NNP cord-267890-j64x6f5r 89 4 can can MD cord-267890-j64x6f5r 89 5 be be VB cord-267890-j64x6f5r 89 6 written write VBN cord-267890-j64x6f5r 89 7 as as IN cord-267890-j64x6f5r 89 8 a a DT cord-267890-j64x6f5r 89 9 set set NN cord-267890-j64x6f5r 89 10 of of IN cord-267890-j64x6f5r 89 11 D d NN cord-267890-j64x6f5r 89 12 ordinary ordinary JJ cord-267890-j64x6f5r 89 13 differential differential JJ cord-267890-j64x6f5r 89 14 equations equation NNS cord-267890-j64x6f5r 89 15 that that WDT cord-267890-j64x6f5r 89 16 evolve evolve VBP cord-267890-j64x6f5r 89 17 in in IN cord-267890-j64x6f5r 89 18 some some DT cord-267890-j64x6f5r 89 19 parameterization parameterization NN cord-267890-j64x6f5r 89 20 t t NN cord-267890-j64x6f5r 89 21 as as IN cord-267890-j64x6f5r 89 22 : : : cord-267890-j64x6f5r 89 23 where where WRB cord-267890-j64x6f5r 89 24 the the DT cord-267890-j64x6f5r 89 25 components component NNS cord-267890-j64x6f5r 89 26 x x : cord-267890-j64x6f5r 89 27 a a DT cord-267890-j64x6f5r 89 28 of of IN cord-267890-j64x6f5r 89 29 the the DT cord-267890-j64x6f5r 89 30 vector vector NN cord-267890-j64x6f5r 89 31 x x NN cord-267890-j64x6f5r 89 32 are be VBP cord-267890-j64x6f5r 89 33 the the DT cord-267890-j64x6f5r 89 34 model model NN cord-267890-j64x6f5r 89 35 state state NN cord-267890-j64x6f5r 89 36 variables variable NNS cord-267890-j64x6f5r 89 37 , , , cord-267890-j64x6f5r 89 38 and and CC cord-267890-j64x6f5r 89 39 unknown unknown JJ cord-267890-j64x6f5r 89 40 parameters parameter NNS cord-267890-j64x6f5r 89 41 to to TO cord-267890-j64x6f5r 89 42 be be VB cord-267890-j64x6f5r 89 43 estimated estimate VBN cord-267890-j64x6f5r 89 44 are be VBP cord-267890-j64x6f5r 89 45 contained contain VBN cord-267890-j64x6f5r 89 46 in in IN cord-267890-j64x6f5r 89 47 p(t p(t NNP cord-267890-j64x6f5r 89 48 ) ) -RRB- cord-267890-j64x6f5r 89 49 . . . cord-267890-j64x6f5r 90 1 A a DT cord-267890-j64x6f5r 90 2 subset subset JJ cord-267890-j64x6f5r 90 3 L l NN cord-267890-j64x6f5r 90 4 of of IN cord-267890-j64x6f5r 90 5 the the DT cord-267890-j64x6f5r 90 6 D D NNP cord-267890-j64x6f5r 90 7 state state NN cord-267890-j64x6f5r 90 8 variables variable NNS cord-267890-j64x6f5r 90 9 is be VBZ cord-267890-j64x6f5r 90 10 associated associate VBN cord-267890-j64x6f5r 90 11 with with IN cord-267890-j64x6f5r 90 12 measured measure VBN cord-267890-j64x6f5r 90 13 quantities quantity NNS cord-267890-j64x6f5r 90 14 . . . cord-267890-j64x6f5r 91 1 One one PRP cord-267890-j64x6f5r 91 2 seeks seek VBZ cord-267890-j64x6f5r 91 3 to to TO cord-267890-j64x6f5r 91 4 estimate estimate VB cord-267890-j64x6f5r 91 5 the the DT cord-267890-j64x6f5r 91 6 p p NN cord-267890-j64x6f5r 91 7 unknown unknown JJ cord-267890-j64x6f5r 91 8 parameters parameter NNS cord-267890-j64x6f5r 91 9 and and CC cord-267890-j64x6f5r 91 10 the the DT cord-267890-j64x6f5r 91 11 evolution evolution NN cord-267890-j64x6f5r 91 12 of of IN cord-267890-j64x6f5r 91 13 all all DT cord-267890-j64x6f5r 91 14 state state NN cord-267890-j64x6f5r 91 15 variables variable NNS cord-267890-j64x6f5r 91 16 that that WDT cord-267890-j64x6f5r 91 17 is be VBZ cord-267890-j64x6f5r 91 18 consistent consistent JJ cord-267890-j64x6f5r 91 19 with with IN cord-267890-j64x6f5r 91 20 the the DT cord-267890-j64x6f5r 91 21 L L NNP cord-267890-j64x6f5r 91 22 measurements measurement NNS cord-267890-j64x6f5r 91 23 . . . cord-267890-j64x6f5r 92 1 A a DT cord-267890-j64x6f5r 92 2 prerequisite prerequisite NN cord-267890-j64x6f5r 92 3 for for IN cord-267890-j64x6f5r 92 4 estimation estimation NN cord-267890-j64x6f5r 92 5 using use VBG cord-267890-j64x6f5r 92 6 real real JJ cord-267890-j64x6f5r 92 7 data data NN cord-267890-j64x6f5r 92 8 is be VBZ cord-267890-j64x6f5r 92 9 the the DT cord-267890-j64x6f5r 92 10 design design NN cord-267890-j64x6f5r 92 11 of of IN cord-267890-j64x6f5r 92 12 simulated simulated JJ cord-267890-j64x6f5r 92 13 experiments experiment NNS cord-267890-j64x6f5r 92 14 , , , cord-267890-j64x6f5r 92 15 wherein wherein WRB cord-267890-j64x6f5r 92 16 the the DT cord-267890-j64x6f5r 92 17 true true JJ cord-267890-j64x6f5r 92 18 values value NNS cord-267890-j64x6f5r 92 19 of of IN cord-267890-j64x6f5r 92 20 parameters parameter NNS cord-267890-j64x6f5r 92 21 are be VBP cord-267890-j64x6f5r 92 22 known know VBN cord-267890-j64x6f5r 92 23 . . . cord-267890-j64x6f5r 93 1 In in IN cord-267890-j64x6f5r 93 2 addition addition NN cord-267890-j64x6f5r 93 3 to to IN cord-267890-j64x6f5r 93 4 providing provide VBG cord-267890-j64x6f5r 93 5 a a DT cord-267890-j64x6f5r 93 6 consistency consistency NN cord-267890-j64x6f5r 93 7 check check NN cord-267890-j64x6f5r 93 8 , , , cord-267890-j64x6f5r 93 9 simulated simulated JJ cord-267890-j64x6f5r 93 10 experiments experiment NNS cord-267890-j64x6f5r 93 11 offer offer VBP cord-267890-j64x6f5r 93 12 the the DT cord-267890-j64x6f5r 93 13 opportunity opportunity NN cord-267890-j64x6f5r 93 14 to to TO cord-267890-j64x6f5r 93 15 ascertain ascertain VB cord-267890-j64x6f5r 93 16 which which WDT cord-267890-j64x6f5r 93 17 and and CC cord-267890-j64x6f5r 93 18 how how WRB cord-267890-j64x6f5r 93 19 few few JJ cord-267890-j64x6f5r 93 20 experimental experimental JJ cord-267890-j64x6f5r 93 21 measurements measurement NNS cord-267890-j64x6f5r 93 22 , , , cord-267890-j64x6f5r 93 23 in in IN cord-267890-j64x6f5r 93 24 principle principle NN cord-267890-j64x6f5r 93 25 , , , cord-267890-j64x6f5r 93 26 are be VBP cord-267890-j64x6f5r 93 27 necessary necessary JJ cord-267890-j64x6f5r 93 28 and and CC cord-267890-j64x6f5r 93 29 sufficient sufficient JJ cord-267890-j64x6f5r 93 30 to to TO cord-267890-j64x6f5r 93 31 complete complete VB cord-267890-j64x6f5r 93 32 a a DT cord-267890-j64x6f5r 93 33 model model NN cord-267890-j64x6f5r 93 34 . . . cord-267890-j64x6f5r 94 1 SDA SDA NNP cord-267890-j64x6f5r 94 2 can can MD cord-267890-j64x6f5r 94 3 be be VB cord-267890-j64x6f5r 94 4 formulated formulate VBN cord-267890-j64x6f5r 94 5 as as IN cord-267890-j64x6f5r 94 6 an an DT cord-267890-j64x6f5r 94 7 optimization optimization NN cord-267890-j64x6f5r 94 8 , , , cord-267890-j64x6f5r 94 9 wherein wherein WRB cord-267890-j64x6f5r 94 10 a a DT cord-267890-j64x6f5r 94 11 cost cost NN cord-267890-j64x6f5r 94 12 function function NN cord-267890-j64x6f5r 94 13 is be VBZ cord-267890-j64x6f5r 94 14 extremized extremize VBN cord-267890-j64x6f5r 94 15 . . . cord-267890-j64x6f5r 95 1 We -PRON- PRP cord-267890-j64x6f5r 95 2 take take VBP cord-267890-j64x6f5r 95 3 this this DT cord-267890-j64x6f5r 95 4 approach approach NN cord-267890-j64x6f5r 95 5 , , , cord-267890-j64x6f5r 95 6 and and CC cord-267890-j64x6f5r 95 7 write write VB cord-267890-j64x6f5r 95 8 the the DT cord-267890-j64x6f5r 95 9 cost cost NN cord-267890-j64x6f5r 95 10 function function NN cord-267890-j64x6f5r 95 11 in in IN cord-267890-j64x6f5r 95 12 two two CD cord-267890-j64x6f5r 95 13 terms term NNS cord-267890-j64x6f5r 95 14 : : : cord-267890-j64x6f5r 95 15 1 1 LS cord-267890-j64x6f5r 95 16 ) ) -RRB- cord-267890-j64x6f5r 95 17 one one CD cord-267890-j64x6f5r 95 18 term term NN cord-267890-j64x6f5r 95 19 representing represent VBG cord-267890-j64x6f5r 95 20 the the DT cord-267890-j64x6f5r 95 21 difference difference NN cord-267890-j64x6f5r 95 22 between between IN cord-267890-j64x6f5r 95 23 state state NN cord-267890-j64x6f5r 95 24 estimate estimate NN cord-267890-j64x6f5r 95 25 and and CC cord-267890-j64x6f5r 95 26 measurement measurement NN cord-267890-j64x6f5r 95 27 ( ( -LRB- cord-267890-j64x6f5r 95 28 measurement measurement NN cord-267890-j64x6f5r 95 29 error error NN cord-267890-j64x6f5r 95 30 ) ) -RRB- cord-267890-j64x6f5r 95 31 , , , cord-267890-j64x6f5r 95 32 and and CC cord-267890-j64x6f5r 95 33 2 2 LS cord-267890-j64x6f5r 95 34 ) ) -RRB- cord-267890-j64x6f5r 95 35 a a DT cord-267890-j64x6f5r 95 36 term term NN cord-267890-j64x6f5r 95 37 representing represent VBG cord-267890-j64x6f5r 95 38 model model NN cord-267890-j64x6f5r 95 39 error error NN cord-267890-j64x6f5r 95 40 . . . cord-267890-j64x6f5r 96 1 It -PRON- PRP cord-267890-j64x6f5r 96 2 will will MD cord-267890-j64x6f5r 96 3 be be VB cord-267890-j64x6f5r 96 4 shown show VBN cord-267890-j64x6f5r 96 5 below below RB cord-267890-j64x6f5r 96 6 in in IN cord-267890-j64x6f5r 96 7 this this DT cord-267890-j64x6f5r 96 8 Section section NN cord-267890-j64x6f5r 96 9 that that IN cord-267890-j64x6f5r 96 10 treating treat VBG cord-267890-j64x6f5r 96 11 the the DT cord-267890-j64x6f5r 96 12 model model NN cord-267890-j64x6f5r 96 13 error error NN cord-267890-j64x6f5r 96 14 as as IN cord-267890-j64x6f5r 96 15 finite finite JJ cord-267890-j64x6f5r 96 16 offers offer VBZ cord-267890-j64x6f5r 96 17 a a DT cord-267890-j64x6f5r 96 18 means means NN cord-267890-j64x6f5r 96 19 to to TO cord-267890-j64x6f5r 96 20 identify identify VB cord-267890-j64x6f5r 96 21 whether whether IN cord-267890-j64x6f5r 96 22 a a DT cord-267890-j64x6f5r 96 23 solution solution NN cord-267890-j64x6f5r 96 24 has have VBZ cord-267890-j64x6f5r 96 25 been be VBN cord-267890-j64x6f5r 96 26 found find VBN cord-267890-j64x6f5r 96 27 within within IN cord-267890-j64x6f5r 96 28 a a DT cord-267890-j64x6f5r 96 29 particular particular JJ cord-267890-j64x6f5r 96 30 region region NN cord-267890-j64x6f5r 96 31 of of IN cord-267890-j64x6f5r 96 32 parameter parameter NN cord-267890-j64x6f5r 96 33 space space NN cord-267890-j64x6f5r 96 34 . . . cord-267890-j64x6f5r 97 1 This this DT cord-267890-j64x6f5r 97 2 is be VBZ cord-267890-j64x6f5r 97 3 a a DT cord-267890-j64x6f5r 97 4 non non JJ cord-267890-j64x6f5r 97 5 - - JJ cord-267890-j64x6f5r 97 6 trivial trivial JJ cord-267890-j64x6f5r 97 7 problem problem NN cord-267890-j64x6f5r 97 8 , , , cord-267890-j64x6f5r 97 9 as as IN cord-267890-j64x6f5r 97 10 any any DT cord-267890-j64x6f5r 97 11 nonlinear nonlinear JJ cord-267890-j64x6f5r 97 12 model model NN cord-267890-j64x6f5r 97 13 will will MD cord-267890-j64x6f5r 97 14 render render VB cord-267890-j64x6f5r 97 15 the the DT cord-267890-j64x6f5r 97 16 cost cost NN cord-267890-j64x6f5r 97 17 function function NN cord-267890-j64x6f5r 97 18 nonconvex nonconvex JJ cord-267890-j64x6f5r 97 19 . . . cord-267890-j64x6f5r 98 1 We -PRON- PRP cord-267890-j64x6f5r 98 2 search search VBP cord-267890-j64x6f5r 98 3 the the DT cord-267890-j64x6f5r 98 4 surface surface NN cord-267890-j64x6f5r 98 5 of of IN cord-267890-j64x6f5r 98 6 the the DT cord-267890-j64x6f5r 98 7 cost cost NN cord-267890-j64x6f5r 98 8 function function NN cord-267890-j64x6f5r 98 9 via via IN cord-267890-j64x6f5r 98 10 the the DT cord-267890-j64x6f5r 98 11 variational variational JJ cord-267890-j64x6f5r 98 12 method method NN cord-267890-j64x6f5r 98 13 , , , cord-267890-j64x6f5r 98 14 and and CC cord-267890-j64x6f5r 98 15 we -PRON- PRP cord-267890-j64x6f5r 98 16 employ employ VBP cord-267890-j64x6f5r 98 17 a a DT cord-267890-j64x6f5r 98 18 method method NN cord-267890-j64x6f5r 98 19 of of IN cord-267890-j64x6f5r 98 20 annealing anneal VBG cord-267890-j64x6f5r 98 21 to to TO cord-267890-j64x6f5r 98 22 identify identify VB cord-267890-j64x6f5r 98 23 a a DT cord-267890-j64x6f5r 98 24 lowest low JJS cord-267890-j64x6f5r 98 25 minumum minumum JJ cord-267890-j64x6f5r 98 26 -a -a NN cord-267890-j64x6f5r 98 27 procedure procedure NN cord-267890-j64x6f5r 98 28 that that WDT cord-267890-j64x6f5r 98 29 has have VBZ cord-267890-j64x6f5r 98 30 been be VBN cord-267890-j64x6f5r 98 31 referred refer VBN cord-267890-j64x6f5r 98 32 to to IN cord-267890-j64x6f5r 98 33 loosely loosely RB cord-267890-j64x6f5r 98 34 in in IN cord-267890-j64x6f5r 98 35 the the DT cord-267890-j64x6f5r 98 36 literature literature NN cord-267890-j64x6f5r 98 37 as as IN cord-267890-j64x6f5r 98 38 variational variational JJ cord-267890-j64x6f5r 98 39 annealing annealing NN cord-267890-j64x6f5r 98 40 ( ( -LRB- cord-267890-j64x6f5r 98 41 VA VA NNP cord-267890-j64x6f5r 98 42 ) ) -RRB- cord-267890-j64x6f5r 98 43 . . . cord-267890-j64x6f5r 99 1 The the DT cord-267890-j64x6f5r 99 2 cost cost NN cord-267890-j64x6f5r 99 3 function function NN cord-267890-j64x6f5r 99 4 A a NN cord-267890-j64x6f5r 99 5 0 0 NFP cord-267890-j64x6f5r 99 6 used use VBN cord-267890-j64x6f5r 99 7 in in IN cord-267890-j64x6f5r 99 8 this this DT cord-267890-j64x6f5r 99 9 paper paper NN cord-267890-j64x6f5r 99 10 is be VBZ cord-267890-j64x6f5r 99 11 written write VBN cord-267890-j64x6f5r 99 12 as as IN cord-267890-j64x6f5r 99 13 : : : cord-267890-j64x6f5r 99 14 3 3 CD cord-267890-j64x6f5r 99 15 . . . cord-267890-j64x6f5r 100 1 CC CC NNP cord-267890-j64x6f5r 100 2 - - HYPH cord-267890-j64x6f5r 100 3 BY BY NNP cord-267890-j64x6f5r 100 4 - - HYPH cord-267890-j64x6f5r 100 5 NC NC NNP cord-267890-j64x6f5r 100 6 - - HYPH cord-267890-j64x6f5r 100 7 ND ND NNP cord-267890-j64x6f5r 100 8 4.0 4.0 CD cord-267890-j64x6f5r 100 9 International international JJ cord-267890-j64x6f5r 100 10 license license NN cord-267890-j64x6f5r 101 1 It -PRON- PRP cord-267890-j64x6f5r 101 2 is be VBZ cord-267890-j64x6f5r 101 3 made make VBN cord-267890-j64x6f5r 101 4 available available JJ cord-267890-j64x6f5r 101 5 under under IN cord-267890-j64x6f5r 101 6 a a DT cord-267890-j64x6f5r 102 1 is be VBZ cord-267890-j64x6f5r 102 2 the the DT cord-267890-j64x6f5r 102 3 author author NN cord-267890-j64x6f5r 102 4 / / SYM cord-267890-j64x6f5r 102 5 funder funder NN cord-267890-j64x6f5r 102 6 , , , cord-267890-j64x6f5r 102 7 who who WP cord-267890-j64x6f5r 102 8 has have VBZ cord-267890-j64x6f5r 102 9 granted grant VBN cord-267890-j64x6f5r 102 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 102 11 a a DT cord-267890-j64x6f5r 102 12 license license NN cord-267890-j64x6f5r 102 13 to to TO cord-267890-j64x6f5r 102 14 display display VB cord-267890-j64x6f5r 102 15 the the DT cord-267890-j64x6f5r 102 16 preprint preprint NN cord-267890-j64x6f5r 102 17 in in IN cord-267890-j64x6f5r 102 18 perpetuity perpetuity NN cord-267890-j64x6f5r 102 19 . . . cord-267890-j64x6f5r 103 1 ( ( -LRB- cord-267890-j64x6f5r 103 2 which which WDT cord-267890-j64x6f5r 103 3 was be VBD cord-267890-j64x6f5r 103 4 not not RB cord-267890-j64x6f5r 103 5 certified certify VBN cord-267890-j64x6f5r 103 6 by by IN cord-267890-j64x6f5r 103 7 peer peer NN cord-267890-j64x6f5r 103 8 review review NN cord-267890-j64x6f5r 103 9 ) ) -RRB- cord-267890-j64x6f5r 104 1 The the DT cord-267890-j64x6f5r 104 2 copyright copyright NN cord-267890-j64x6f5r 104 3 holder holder NN cord-267890-j64x6f5r 104 4 for for IN cord-267890-j64x6f5r 104 5 this this DT cord-267890-j64x6f5r 104 6 preprint preprint NN cord-267890-j64x6f5r 104 7 this this DT cord-267890-j64x6f5r 104 8 version version NN cord-267890-j64x6f5r 104 9 posted post VBN cord-267890-j64x6f5r 104 10 May May NNP cord-267890-j64x6f5r 104 11 29 29 CD cord-267890-j64x6f5r 104 12 , , , cord-267890-j64x6f5r 104 13 2020 2020 CD cord-267890-j64x6f5r 104 14 . . . cord-267890-j64x6f5r 104 15 . . . cord-267890-j64x6f5r 105 1 One one PRP cord-267890-j64x6f5r 105 2 seeks seek VBZ cord-267890-j64x6f5r 105 3 the the DT cord-267890-j64x6f5r 105 4 path path NN cord-267890-j64x6f5r 105 5 X x NN cord-267890-j64x6f5r 105 6 0 0 CD cord-267890-j64x6f5r 106 1 = = SYM cord-267890-j64x6f5r 106 2 x(0 x(0 NNP cord-267890-j64x6f5r 106 3 ) ) -RRB- cord-267890-j64x6f5r 106 4 , , , cord-267890-j64x6f5r 106 5 ... ... NFP cord-267890-j64x6f5r 106 6 , , , cord-267890-j64x6f5r 106 7 x(N x(n LS cord-267890-j64x6f5r 106 8 ) ) -RRB- cord-267890-j64x6f5r 106 9 , , , cord-267890-j64x6f5r 106 10 p(0 p(0 NNP cord-267890-j64x6f5r 106 11 ) ) -RRB- cord-267890-j64x6f5r 106 12 , , , cord-267890-j64x6f5r 106 13 ... ... : cord-267890-j64x6f5r 107 1 p(N p(N NNP cord-267890-j64x6f5r 107 2 ) ) -RRB- cord-267890-j64x6f5r 107 3 in in IN cord-267890-j64x6f5r 107 4 state state NN cord-267890-j64x6f5r 107 5 space space NN cord-267890-j64x6f5r 107 6 on on IN cord-267890-j64x6f5r 107 7 which which WDT cord-267890-j64x6f5r 107 8 A a NN cord-267890-j64x6f5r 107 9 0 0 CD cord-267890-j64x6f5r 107 10 attains attain VBZ cord-267890-j64x6f5r 107 11 a a DT cord-267890-j64x6f5r 107 12 minimum minimum JJ cord-267890-j64x6f5r 107 13 value value NN cord-267890-j64x6f5r 107 14 2 2 CD cord-267890-j64x6f5r 107 15 . . . cord-267890-j64x6f5r 108 1 Note note VB cord-267890-j64x6f5r 108 2 that that IN cord-267890-j64x6f5r 108 3 Equation equation NN cord-267890-j64x6f5r 108 4 1 1 CD cord-267890-j64x6f5r 108 5 is be VBZ cord-267890-j64x6f5r 108 6 shorthand shorthand NN cord-267890-j64x6f5r 108 7 ; ; : cord-267890-j64x6f5r 108 8 for for IN cord-267890-j64x6f5r 108 9 the the DT cord-267890-j64x6f5r 108 10 full full JJ cord-267890-j64x6f5r 108 11 form form NN cord-267890-j64x6f5r 108 12 , , , cord-267890-j64x6f5r 108 13 see see VB cord-267890-j64x6f5r 108 14 Appendix Appendix NNP cord-267890-j64x6f5r 108 15 A A NNP cord-267890-j64x6f5r 108 16 of of IN cord-267890-j64x6f5r 108 17 Ref Ref NNP cord-267890-j64x6f5r 108 18 [ [ -LRB- cord-267890-j64x6f5r 108 19 17 17 CD cord-267890-j64x6f5r 108 20 ] ] -RRB- cord-267890-j64x6f5r 108 21 . . . cord-267890-j64x6f5r 109 1 For for IN cord-267890-j64x6f5r 109 2 a a DT cord-267890-j64x6f5r 109 3 derivation derivation NN cord-267890-j64x6f5r 109 4 -beginning -beginne VBG cord-267890-j64x6f5r 109 5 with with IN cord-267890-j64x6f5r 109 6 the the DT cord-267890-j64x6f5r 109 7 physical physical JJ cord-267890-j64x6f5r 109 8 Action Action NNP cord-267890-j64x6f5r 109 9 of of IN cord-267890-j64x6f5r 109 10 a a DT cord-267890-j64x6f5r 109 11 particle particle NN cord-267890-j64x6f5r 109 12 in in IN cord-267890-j64x6f5r 109 13 state state NN cord-267890-j64x6f5r 109 14 space space NN cord-267890-j64x6f5r 109 15 -see -see : cord-267890-j64x6f5r 109 16 Ref ref NN cord-267890-j64x6f5r 109 17 [ [ -LRB- cord-267890-j64x6f5r 109 18 26 26 CD cord-267890-j64x6f5r 109 19 ] ] -RRB- cord-267890-j64x6f5r 109 20 . . . cord-267890-j64x6f5r 110 1 The the DT cord-267890-j64x6f5r 110 2 first first JJ cord-267890-j64x6f5r 110 3 squared squared JJ cord-267890-j64x6f5r 110 4 term term NN cord-267890-j64x6f5r 110 5 of of IN cord-267890-j64x6f5r 110 6 Equation equation NN cord-267890-j64x6f5r 110 7 1 1 CD cord-267890-j64x6f5r 110 8 governs govern VBZ cord-267890-j64x6f5r 110 9 the the DT cord-267890-j64x6f5r 110 10 transfer transfer NN cord-267890-j64x6f5r 110 11 of of IN cord-267890-j64x6f5r 110 12 information information NN cord-267890-j64x6f5r 110 13 from from IN cord-267890-j64x6f5r 110 14 measurements measurement NNS cord-267890-j64x6f5r 110 15 y y NNP cord-267890-j64x6f5r 110 16 l l NNP cord-267890-j64x6f5r 110 17 to to TO cord-267890-j64x6f5r 110 18 model model VB cord-267890-j64x6f5r 110 19 states state NNS cord-267890-j64x6f5r 110 20 x x SYM cord-267890-j64x6f5r 110 21 l l NNP cord-267890-j64x6f5r 110 22 . . . cord-267890-j64x6f5r 111 1 The the DT cord-267890-j64x6f5r 111 2 summation summation NN cord-267890-j64x6f5r 111 3 on on IN cord-267890-j64x6f5r 111 4 j j NNP cord-267890-j64x6f5r 111 5 runs run VBZ cord-267890-j64x6f5r 111 6 over over IN cord-267890-j64x6f5r 111 7 all all DT cord-267890-j64x6f5r 111 8 discretized discretize VBN cord-267890-j64x6f5r 111 9 timepoints timepoint NNS cord-267890-j64x6f5r 111 10 J J NNP cord-267890-j64x6f5r 111 11 at at IN cord-267890-j64x6f5r 111 12 which which WDT cord-267890-j64x6f5r 111 13 measurements measurement NNS cord-267890-j64x6f5r 111 14 are be VBP cord-267890-j64x6f5r 111 15 made make VBN cord-267890-j64x6f5r 111 16 , , , cord-267890-j64x6f5r 111 17 which which WDT cord-267890-j64x6f5r 111 18 may may MD cord-267890-j64x6f5r 111 19 be be VB cord-267890-j64x6f5r 111 20 a a DT cord-267890-j64x6f5r 111 21 subset subset NN cord-267890-j64x6f5r 111 22 of of IN cord-267890-j64x6f5r 111 23 all all DT cord-267890-j64x6f5r 111 24 integrated integrate VBN cord-267890-j64x6f5r 111 25 model model NN cord-267890-j64x6f5r 111 26 timepoints timepoint NNS cord-267890-j64x6f5r 111 27 . . . cord-267890-j64x6f5r 112 1 The the DT cord-267890-j64x6f5r 112 2 summation summation NN cord-267890-j64x6f5r 112 3 on on IN cord-267890-j64x6f5r 112 4 l l NNP cord-267890-j64x6f5r 112 5 is be VBZ cord-267890-j64x6f5r 112 6 taken take VBN cord-267890-j64x6f5r 112 7 over over RP cord-267890-j64x6f5r 112 8 all all DT cord-267890-j64x6f5r 112 9 L l NN cord-267890-j64x6f5r 112 10 measured measure VBN cord-267890-j64x6f5r 112 11 quantities quantity NNS cord-267890-j64x6f5r 112 12 . . . cord-267890-j64x6f5r 113 1 The the DT cord-267890-j64x6f5r 113 2 second second JJ cord-267890-j64x6f5r 113 3 squared squared JJ cord-267890-j64x6f5r 113 4 term term NN cord-267890-j64x6f5r 113 5 of of IN cord-267890-j64x6f5r 113 6 Equation equation NN cord-267890-j64x6f5r 113 7 1 1 CD cord-267890-j64x6f5r 113 8 incorporates incorporate VBZ cord-267890-j64x6f5r 113 9 the the DT cord-267890-j64x6f5r 113 10 model model NN cord-267890-j64x6f5r 113 11 evolution evolution NN cord-267890-j64x6f5r 113 12 of of IN cord-267890-j64x6f5r 113 13 all all DT cord-267890-j64x6f5r 113 14 D d NN cord-267890-j64x6f5r 113 15 state state NN cord-267890-j64x6f5r 113 16 variables variable NNS cord-267890-j64x6f5r 114 1 x x SYM cord-267890-j64x6f5r 114 2 a a LS cord-267890-j64x6f5r 114 3 . . . cord-267890-j64x6f5r 115 1 The the DT cord-267890-j64x6f5r 115 2 term term NN cord-267890-j64x6f5r 115 3 f f FW cord-267890-j64x6f5r 115 4 a a NN cord-267890-j64x6f5r 115 5 ( ( -LRB- cord-267890-j64x6f5r 115 6 x(n x(n NNP cord-267890-j64x6f5r 115 7 ) ) -RRB- cord-267890-j64x6f5r 115 8 ) ) -RRB- cord-267890-j64x6f5r 115 9 is be VBZ cord-267890-j64x6f5r 115 10 defined define VBN cord-267890-j64x6f5r 115 11 , , , cord-267890-j64x6f5r 115 12 for for IN cord-267890-j64x6f5r 115 13 discretization discretization NN cord-267890-j64x6f5r 115 14 , , , cord-267890-j64x6f5r 115 15 as as IN cord-267890-j64x6f5r 115 16 : : : cord-267890-j64x6f5r 115 17 1 1 CD cord-267890-j64x6f5r 115 18 2 2 CD cord-267890-j64x6f5r 115 19 [ [ -LRB- cord-267890-j64x6f5r 115 20 F F NNP cord-267890-j64x6f5r 115 21 a a NN cord-267890-j64x6f5r 115 22 ( ( -LRB- cord-267890-j64x6f5r 115 23 x(n x(n NNP cord-267890-j64x6f5r 115 24 ) ) -RRB- cord-267890-j64x6f5r 115 25 ) ) -RRB- cord-267890-j64x6f5r 115 26 + + CC cord-267890-j64x6f5r 115 27 F F NNP cord-267890-j64x6f5r 115 28 a a NNP cord-267890-j64x6f5r 115 29 ( ( -LRB- cord-267890-j64x6f5r 115 30 x(n x(n NNP cord-267890-j64x6f5r 115 31 + + SYM cord-267890-j64x6f5r 115 32 1 1 CD cord-267890-j64x6f5r 115 33 ) ) -RRB- cord-267890-j64x6f5r 115 34 ) ) -RRB- cord-267890-j64x6f5r 115 35 ] ] -RRB- cord-267890-j64x6f5r 115 36 . . . cord-267890-j64x6f5r 116 1 The the DT cord-267890-j64x6f5r 116 2 outer outer JJ cord-267890-j64x6f5r 116 3 sum sum NN cord-267890-j64x6f5r 116 4 on on IN cord-267890-j64x6f5r 116 5 n n NN cord-267890-j64x6f5r 116 6 is be VBZ cord-267890-j64x6f5r 116 7 taken take VBN cord-267890-j64x6f5r 116 8 over over RP cord-267890-j64x6f5r 116 9 all all DT cord-267890-j64x6f5r 116 10 discretized discretize VBN cord-267890-j64x6f5r 116 11 timepoints timepoint NNS cord-267890-j64x6f5r 116 12 of of IN cord-267890-j64x6f5r 116 13 the the DT cord-267890-j64x6f5r 116 14 model model NN cord-267890-j64x6f5r 116 15 equations equation NNS cord-267890-j64x6f5r 116 16 of of IN cord-267890-j64x6f5r 116 17 motion motion NN cord-267890-j64x6f5r 116 18 . . . cord-267890-j64x6f5r 117 1 The the DT cord-267890-j64x6f5r 117 2 sum sum NN cord-267890-j64x6f5r 117 3 on on IN cord-267890-j64x6f5r 117 4 a a DT cord-267890-j64x6f5r 117 5 is be VBZ cord-267890-j64x6f5r 117 6 taken take VBN cord-267890-j64x6f5r 117 7 over over RP cord-267890-j64x6f5r 117 8 all all DT cord-267890-j64x6f5r 117 9 D d NN cord-267890-j64x6f5r 117 10 state state NN cord-267890-j64x6f5r 117 11 variables variable NNS cord-267890-j64x6f5r 117 12 . . . cord-267890-j64x6f5r 118 1 R r NN cord-267890-j64x6f5r 118 2 m m NN cord-267890-j64x6f5r 118 3 and and CC cord-267890-j64x6f5r 118 4 R R NNP cord-267890-j64x6f5r 118 5 f f NNP cord-267890-j64x6f5r 118 6 are be VBP cord-267890-j64x6f5r 118 7 inverse inverse JJ cord-267890-j64x6f5r 118 8 covariance covariance NN cord-267890-j64x6f5r 118 9 matrices matrix NNS cord-267890-j64x6f5r 118 10 for for IN cord-267890-j64x6f5r 118 11 the the DT cord-267890-j64x6f5r 118 12 measurement measurement NN cord-267890-j64x6f5r 118 13 and and CC cord-267890-j64x6f5r 118 14 model model NN cord-267890-j64x6f5r 118 15 errors error NNS cord-267890-j64x6f5r 118 16 , , , cord-267890-j64x6f5r 118 17 respectively respectively RB cord-267890-j64x6f5r 118 18 . . . cord-267890-j64x6f5r 119 1 We -PRON- PRP cord-267890-j64x6f5r 119 2 take take VBP cord-267890-j64x6f5r 119 3 each each DT cord-267890-j64x6f5r 119 4 matrix matrix NN cord-267890-j64x6f5r 119 5 to to TO cord-267890-j64x6f5r 119 6 be be VB cord-267890-j64x6f5r 119 7 diagonal diagonal JJ cord-267890-j64x6f5r 119 8 and and CC cord-267890-j64x6f5r 119 9 treat treat VB cord-267890-j64x6f5r 119 10 them -PRON- PRP cord-267890-j64x6f5r 119 11 as as IN cord-267890-j64x6f5r 119 12 relative relative JJ cord-267890-j64x6f5r 119 13 weighting weighting NN cord-267890-j64x6f5r 119 14 terms term NNS cord-267890-j64x6f5r 119 15 , , , cord-267890-j64x6f5r 119 16 whose whose WP$ cord-267890-j64x6f5r 119 17 utility utility NN cord-267890-j64x6f5r 119 18 will will MD cord-267890-j64x6f5r 119 19 be be VB cord-267890-j64x6f5r 119 20 described describe VBN cord-267890-j64x6f5r 119 21 below below IN cord-267890-j64x6f5r 119 22 in in IN cord-267890-j64x6f5r 119 23 this this DT cord-267890-j64x6f5r 119 24 Section section NN cord-267890-j64x6f5r 119 25 . . . cord-267890-j64x6f5r 120 1 The the DT cord-267890-j64x6f5r 120 2 procedure procedure NN cord-267890-j64x6f5r 120 3 searches search VBZ cord-267890-j64x6f5r 120 4 a a DT cord-267890-j64x6f5r 120 5 ( ( -LRB- cord-267890-j64x6f5r 120 6 D D NNP cord-267890-j64x6f5r 120 7 ( ( -LRB- cord-267890-j64x6f5r 120 8 N n NN cord-267890-j64x6f5r 120 9 + + SYM cord-267890-j64x6f5r 120 10 1 1 CD cord-267890-j64x6f5r 120 11 ) ) -RRB- cord-267890-j64x6f5r 120 12 + + . cord-267890-j64x6f5r 121 1 p p LS cord-267890-j64x6f5r 121 2 ( ( -LRB- cord-267890-j64x6f5r 121 3 N N NNP cord-267890-j64x6f5r 121 4 + + SYM cord-267890-j64x6f5r 121 5 1))dimensional 1))dimensional CD cord-267890-j64x6f5r 121 6 state state NN cord-267890-j64x6f5r 121 7 space space NN cord-267890-j64x6f5r 121 8 , , , cord-267890-j64x6f5r 121 9 where where WRB cord-267890-j64x6f5r 121 10 D D NNP cord-267890-j64x6f5r 121 11 is be VBZ cord-267890-j64x6f5r 121 12 the the DT cord-267890-j64x6f5r 121 13 number number NN cord-267890-j64x6f5r 121 14 of of IN cord-267890-j64x6f5r 121 15 state state NN cord-267890-j64x6f5r 121 16 variables variable NNS cord-267890-j64x6f5r 121 17 , , , cord-267890-j64x6f5r 121 18 N N NNP cord-267890-j64x6f5r 121 19 is be VBZ cord-267890-j64x6f5r 121 20 the the DT cord-267890-j64x6f5r 121 21 number number NN cord-267890-j64x6f5r 121 22 of of IN cord-267890-j64x6f5r 121 23 discretized discretize VBN cord-267890-j64x6f5r 121 24 steps step NNS cord-267890-j64x6f5r 121 25 , , , cord-267890-j64x6f5r 121 26 and and CC cord-267890-j64x6f5r 121 27 p p NN cord-267890-j64x6f5r 121 28 is be VBZ cord-267890-j64x6f5r 121 29 the the DT cord-267890-j64x6f5r 121 30 number number NN cord-267890-j64x6f5r 121 31 of of IN cord-267890-j64x6f5r 121 32 unknown unknown JJ cord-267890-j64x6f5r 121 33 parameters parameter NNS cord-267890-j64x6f5r 121 34 . . . cord-267890-j64x6f5r 122 1 To to TO cord-267890-j64x6f5r 122 2 perform perform VB cord-267890-j64x6f5r 122 3 simulated simulated JJ cord-267890-j64x6f5r 122 4 experiments experiment NNS cord-267890-j64x6f5r 122 5 , , , cord-267890-j64x6f5r 122 6 the the DT cord-267890-j64x6f5r 122 7 equations equation NNS cord-267890-j64x6f5r 122 8 of of IN cord-267890-j64x6f5r 122 9 motion motion NN cord-267890-j64x6f5r 122 10 are be VBP cord-267890-j64x6f5r 122 11 integrated integrate VBN cord-267890-j64x6f5r 122 12 forward forward RB cord-267890-j64x6f5r 122 13 to to TO cord-267890-j64x6f5r 122 14 yield yield VB cord-267890-j64x6f5r 122 15 simulated simulated JJ cord-267890-j64x6f5r 122 16 data datum NNS cord-267890-j64x6f5r 122 17 , , , cord-267890-j64x6f5r 122 18 and and CC cord-267890-j64x6f5r 122 19 the the DT cord-267890-j64x6f5r 122 20 VA VA NNP cord-267890-j64x6f5r 122 21 procedure procedure NN cord-267890-j64x6f5r 122 22 is be VBZ cord-267890-j64x6f5r 122 23 challenged challenge VBN cord-267890-j64x6f5r 122 24 to to TO cord-267890-j64x6f5r 122 25 infer infer VB cord-267890-j64x6f5r 122 26 the the DT cord-267890-j64x6f5r 122 27 parameters parameter NNS cord-267890-j64x6f5r 122 28 and and CC cord-267890-j64x6f5r 122 29 the the DT cord-267890-j64x6f5r 122 30 evolution evolution NN cord-267890-j64x6f5r 122 31 of of IN cord-267890-j64x6f5r 122 32 all all DT cord-267890-j64x6f5r 122 33 state state NN cord-267890-j64x6f5r 122 34 variables variable NNS cord-267890-j64x6f5r 122 35 -measured -measure VBN cord-267890-j64x6f5r 122 36 and and CC cord-267890-j64x6f5r 122 37 unmeasured unmeasured JJ cord-267890-j64x6f5r 122 38 -that -that NN cord-267890-j64x6f5r 122 39 generated generate VBD cord-267890-j64x6f5r 122 40 the the DT cord-267890-j64x6f5r 122 41 simulated simulated JJ cord-267890-j64x6f5r 122 42 data datum NNS cord-267890-j64x6f5r 122 43 . . . cord-267890-j64x6f5r 123 1 This this DT cord-267890-j64x6f5r 123 2 specific specific JJ cord-267890-j64x6f5r 123 3 formulation formulation NN cord-267890-j64x6f5r 123 4 has have VBZ cord-267890-j64x6f5r 123 5 been be VBN cord-267890-j64x6f5r 123 6 tested test VBN cord-267890-j64x6f5r 123 7 with with IN cord-267890-j64x6f5r 123 8 chaotic chaotic JJ cord-267890-j64x6f5r 123 9 models model NNS cord-267890-j64x6f5r 123 10 [ [ -LRB- cord-267890-j64x6f5r 123 11 27 27 CD cord-267890-j64x6f5r 123 12 ] ] -RRB- cord-267890-j64x6f5r 123 13 [ [ -LRB- cord-267890-j64x6f5r 123 14 28 28 CD cord-267890-j64x6f5r 123 15 ] ] -RRB- cord-267890-j64x6f5r 123 16 [ [ -LRB- cord-267890-j64x6f5r 123 17 29 29 CD cord-267890-j64x6f5r 123 18 ] ] -RRB- cord-267890-j64x6f5r 123 19 [ [ -LRB- cord-267890-j64x6f5r 123 20 30 30 CD cord-267890-j64x6f5r 123 21 ] ] -RRB- cord-267890-j64x6f5r 123 22 , , , cord-267890-j64x6f5r 123 23 and and CC cord-267890-j64x6f5r 123 24 used use VBD cord-267890-j64x6f5r 123 25 to to TO cord-267890-j64x6f5r 123 26 estimate estimate VB cord-267890-j64x6f5r 123 27 parameters parameter NNS cord-267890-j64x6f5r 123 28 in in IN cord-267890-j64x6f5r 123 29 models model NNS cord-267890-j64x6f5r 123 30 of of IN cord-267890-j64x6f5r 123 31 biological biological JJ cord-267890-j64x6f5r 123 32 neurons neuron NNS cord-267890-j64x6f5r 123 33 [ [ -LRB- cord-267890-j64x6f5r 123 34 12 12 CD cord-267890-j64x6f5r 123 35 , , , cord-267890-j64x6f5r 123 36 13 13 CD cord-267890-j64x6f5r 123 37 , , , cord-267890-j64x6f5r 123 38 15 15 CD cord-267890-j64x6f5r 123 39 , , , cord-267890-j64x6f5r 123 40 17 17 CD cord-267890-j64x6f5r 123 41 , , , cord-267890-j64x6f5r 123 42 31 31 CD cord-267890-j64x6f5r 123 43 , , , cord-267890-j64x6f5r 123 44 32 32 CD cord-267890-j64x6f5r 123 45 ] ] -RRB- cord-267890-j64x6f5r 123 46 , , , cord-267890-j64x6f5r 123 47 as as RB cord-267890-j64x6f5r 123 48 well well RB cord-267890-j64x6f5r 123 49 as as IN cord-267890-j64x6f5r 123 50 astrophysical astrophysical JJ cord-267890-j64x6f5r 123 51 scenarios scenario NNS cord-267890-j64x6f5r 123 52 [ [ -LRB- cord-267890-j64x6f5r 123 53 33 33 CD cord-267890-j64x6f5r 123 54 ] ] -RRB- cord-267890-j64x6f5r 123 55 . . . cord-267890-j64x6f5r 124 1 Our -PRON- PRP$ cord-267890-j64x6f5r 124 2 model model NN cord-267890-j64x6f5r 124 3 is be VBZ cord-267890-j64x6f5r 124 4 nonlinear nonlinear JJ cord-267890-j64x6f5r 124 5 , , , cord-267890-j64x6f5r 124 6 and and CC cord-267890-j64x6f5r 124 7 thus thus RB cord-267890-j64x6f5r 124 8 the the DT cord-267890-j64x6f5r 124 9 cost cost NN cord-267890-j64x6f5r 124 10 function function NN cord-267890-j64x6f5r 124 11 surface surface NN cord-267890-j64x6f5r 124 12 is be VBZ cord-267890-j64x6f5r 124 13 non non JJ cord-267890-j64x6f5r 124 14 - - JJ cord-267890-j64x6f5r 124 15 convex convex JJ cord-267890-j64x6f5r 124 16 . . . cord-267890-j64x6f5r 125 1 For for IN cord-267890-j64x6f5r 125 2 this this DT cord-267890-j64x6f5r 125 3 reason reason NN cord-267890-j64x6f5r 125 4 , , , cord-267890-j64x6f5r 125 5 we -PRON- PRP cord-267890-j64x6f5r 125 6 iterate iterate VBP cord-267890-j64x6f5r 125 7 -or -or DT cord-267890-j64x6f5r 126 1 anneal anneal VB cord-267890-j64x6f5r 126 2 -in -in . cord-267890-j64x6f5r 127 1 terms term NNS cord-267890-j64x6f5r 127 2 of of IN cord-267890-j64x6f5r 127 3 the the DT cord-267890-j64x6f5r 127 4 ratio ratio NN cord-267890-j64x6f5r 127 5 of of IN cord-267890-j64x6f5r 127 6 model model NN cord-267890-j64x6f5r 127 7 and and CC cord-267890-j64x6f5r 127 8 measurement measurement NN cord-267890-j64x6f5r 127 9 error error NN cord-267890-j64x6f5r 127 10 , , , cord-267890-j64x6f5r 127 11 with with IN cord-267890-j64x6f5r 127 12 the the DT cord-267890-j64x6f5r 127 13 aim aim NN cord-267890-j64x6f5r 127 14 to to TO cord-267890-j64x6f5r 127 15 gradually gradually RB cord-267890-j64x6f5r 127 16 freeze freeze VB cord-267890-j64x6f5r 127 17 out out RP cord-267890-j64x6f5r 127 18 a a DT cord-267890-j64x6f5r 127 19 lowest low JJS cord-267890-j64x6f5r 127 20 minimum minimum NN cord-267890-j64x6f5r 127 21 . . . cord-267890-j64x6f5r 128 1 This this DT cord-267890-j64x6f5r 128 2 procedure procedure NN cord-267890-j64x6f5r 128 3 was be VBD cord-267890-j64x6f5r 128 4 introduced introduce VBN cord-267890-j64x6f5r 128 5 in in IN cord-267890-j64x6f5r 128 6 Ref Ref NNP cord-267890-j64x6f5r 128 7 [ [ -LRB- cord-267890-j64x6f5r 128 8 34 34 CD cord-267890-j64x6f5r 128 9 ] ] -RRB- cord-267890-j64x6f5r 128 10 , , , cord-267890-j64x6f5r 128 11 and and CC cord-267890-j64x6f5r 128 12 has have VBZ cord-267890-j64x6f5r 128 13 since since IN cord-267890-j64x6f5r 128 14 been be VBN cord-267890-j64x6f5r 128 15 used use VBN cord-267890-j64x6f5r 128 16 in in IN cord-267890-j64x6f5r 128 17 combination combination NN cord-267890-j64x6f5r 128 18 with with IN cord-267890-j64x6f5r 128 19 variational variational JJ cord-267890-j64x6f5r 128 20 optimization optimization NN cord-267890-j64x6f5r 128 21 on on IN cord-267890-j64x6f5r 128 22 nonlinear nonlinear JJ cord-267890-j64x6f5r 128 23 models model NNS cord-267890-j64x6f5r 128 24 in in IN cord-267890-j64x6f5r 128 25 Refs ref NNS cord-267890-j64x6f5r 128 26 [ [ -LRB- cord-267890-j64x6f5r 128 27 10 10 CD cord-267890-j64x6f5r 128 28 , , , cord-267890-j64x6f5r 128 29 17 17 CD cord-267890-j64x6f5r 128 30 , , , cord-267890-j64x6f5r 128 31 31 31 CD cord-267890-j64x6f5r 128 32 , , , cord-267890-j64x6f5r 128 33 33 33 CD cord-267890-j64x6f5r 128 34 ] ] -RRB- cord-267890-j64x6f5r 128 35 above above RB cord-267890-j64x6f5r 128 36 . . . cord-267890-j64x6f5r 129 1 The the DT cord-267890-j64x6f5r 129 2 annealing annealing NN cord-267890-j64x6f5r 129 3 works work VBZ cord-267890-j64x6f5r 129 4 as as IN cord-267890-j64x6f5r 129 5 follows follow VBZ cord-267890-j64x6f5r 129 6 . . . cord-267890-j64x6f5r 130 1 We -PRON- PRP cord-267890-j64x6f5r 130 2 first first RB cord-267890-j64x6f5r 130 3 define define VBP cord-267890-j64x6f5r 130 4 the the DT cord-267890-j64x6f5r 130 5 coefficient coefficient NN cord-267890-j64x6f5r 130 6 of of IN cord-267890-j64x6f5r 130 7 measurement measurement NN cord-267890-j64x6f5r 130 8 error error NN cord-267890-j64x6f5r 130 9 R r NN cord-267890-j64x6f5r 130 10 m m NN cord-267890-j64x6f5r 130 11 to to TO cord-267890-j64x6f5r 130 12 be be VB cord-267890-j64x6f5r 130 13 1.0 1.0 CD cord-267890-j64x6f5r 130 14 , , , cord-267890-j64x6f5r 130 15 and and CC cord-267890-j64x6f5r 130 16 write write VB cord-267890-j64x6f5r 130 17 the the DT cord-267890-j64x6f5r 130 18 coefficient coefficient NN cord-267890-j64x6f5r 130 19 of of IN cord-267890-j64x6f5r 130 20 model model NN cord-267890-j64x6f5r 130 21 error error NN cord-267890-j64x6f5r 130 22 R r NN cord-267890-j64x6f5r 130 23 f f NN cord-267890-j64x6f5r 130 24 as as IN cord-267890-j64x6f5r 130 25 : : : cord-267890-j64x6f5r 130 26 0 0 NFP cord-267890-j64x6f5r 130 27 is be VBZ cord-267890-j64x6f5r 130 28 a a DT cord-267890-j64x6f5r 130 29 small small JJ cord-267890-j64x6f5r 130 30 number number NN cord-267890-j64x6f5r 130 31 near near IN cord-267890-j64x6f5r 130 32 zero zero CD cord-267890-j64x6f5r 130 33 , , , cord-267890-j64x6f5r 130 34 α α NN cord-267890-j64x6f5r 130 35 is be VBZ cord-267890-j64x6f5r 130 36 a a DT cord-267890-j64x6f5r 130 37 small small JJ cord-267890-j64x6f5r 130 38 number number NN cord-267890-j64x6f5r 130 39 greater great JJR cord-267890-j64x6f5r 130 40 than than IN cord-267890-j64x6f5r 130 41 1.0 1.0 CD cord-267890-j64x6f5r 130 42 , , , cord-267890-j64x6f5r 130 43 and and CC cord-267890-j64x6f5r 130 44 β β NN cord-267890-j64x6f5r 130 45 is be VBZ cord-267890-j64x6f5r 130 46 initialized initialize VBN cord-267890-j64x6f5r 130 47 at at IN cord-267890-j64x6f5r 130 48 zero zero CD cord-267890-j64x6f5r 130 49 . . . cord-267890-j64x6f5r 131 1 Parameter parameter NN cord-267890-j64x6f5r 131 2 β β NN cord-267890-j64x6f5r 131 3 is be VBZ cord-267890-j64x6f5r 131 4 our -PRON- PRP$ cord-267890-j64x6f5r 131 5 annealing annealing NN cord-267890-j64x6f5r 131 6 parameter parameter NN cord-267890-j64x6f5r 131 7 . . . cord-267890-j64x6f5r 132 1 For for IN cord-267890-j64x6f5r 132 2 the the DT cord-267890-j64x6f5r 132 3 case case NN cord-267890-j64x6f5r 132 4 in in IN cord-267890-j64x6f5r 132 5 which which WDT cord-267890-j64x6f5r 132 6 β β NN cord-267890-j64x6f5r 132 7 = = SYM cord-267890-j64x6f5r 132 8 0 0 NFP cord-267890-j64x6f5r 132 9 , , , cord-267890-j64x6f5r 132 10 relatively relatively RB cord-267890-j64x6f5r 132 11 free free JJ cord-267890-j64x6f5r 132 12 from from IN cord-267890-j64x6f5r 132 13 model model NN cord-267890-j64x6f5r 132 14 constraints constraint NNS cord-267890-j64x6f5r 132 15 the the DT cord-267890-j64x6f5r 132 16 cost cost NN cord-267890-j64x6f5r 132 17 function function NN cord-267890-j64x6f5r 132 18 surface surface NN cord-267890-j64x6f5r 132 19 is be VBZ cord-267890-j64x6f5r 132 20 smooth smooth JJ cord-267890-j64x6f5r 132 21 and and CC cord-267890-j64x6f5r 132 22 there there EX cord-267890-j64x6f5r 132 23 exists exist VBZ cord-267890-j64x6f5r 132 24 one one CD cord-267890-j64x6f5r 132 25 minimum minimum NN cord-267890-j64x6f5r 132 26 of of IN cord-267890-j64x6f5r 132 27 the the DT cord-267890-j64x6f5r 132 28 variational variational JJ cord-267890-j64x6f5r 132 29 problem problem NN cord-267890-j64x6f5r 132 30 that that WDT cord-267890-j64x6f5r 132 31 is be VBZ cord-267890-j64x6f5r 132 32 consistent consistent JJ cord-267890-j64x6f5r 132 33 with with IN cord-267890-j64x6f5r 132 34 the the DT cord-267890-j64x6f5r 132 35 measurements measurement NNS cord-267890-j64x6f5r 132 36 . . . cord-267890-j64x6f5r 133 1 We -PRON- PRP cord-267890-j64x6f5r 133 2 obtain obtain VBP cord-267890-j64x6f5r 133 3 an an DT cord-267890-j64x6f5r 133 4 estimate estimate NN cord-267890-j64x6f5r 133 5 of of IN cord-267890-j64x6f5r 133 6 that that DT cord-267890-j64x6f5r 133 7 minimum minimum NN cord-267890-j64x6f5r 133 8 . . . cord-267890-j64x6f5r 134 1 Then then RB cord-267890-j64x6f5r 134 2 we -PRON- PRP cord-267890-j64x6f5r 134 3 increase increase VBP cord-267890-j64x6f5r 134 4 the the DT cord-267890-j64x6f5r 134 5 weight weight NN cord-267890-j64x6f5r 134 6 of of IN cord-267890-j64x6f5r 134 7 the the DT cord-267890-j64x6f5r 134 8 model model NN cord-267890-j64x6f5r 134 9 term term NN cord-267890-j64x6f5r 134 10 slightly slightly RB cord-267890-j64x6f5r 134 11 , , , cord-267890-j64x6f5r 134 12 via via IN cord-267890-j64x6f5r 134 13 an an DT cord-267890-j64x6f5r 134 14 integer integ JJR cord-267890-j64x6f5r 134 15 increment increment NN cord-267890-j64x6f5r 134 16 in in IN cord-267890-j64x6f5r 134 17 β β NN cord-267890-j64x6f5r 134 18 , , , cord-267890-j64x6f5r 134 19 and and CC cord-267890-j64x6f5r 134 20 recalculate recalculate VB cord-267890-j64x6f5r 134 21 the the DT cord-267890-j64x6f5r 134 22 cost cost NN cord-267890-j64x6f5r 134 23 . . . cord-267890-j64x6f5r 135 1 We -PRON- PRP cord-267890-j64x6f5r 135 2 do do VBP cord-267890-j64x6f5r 135 3 this this DT cord-267890-j64x6f5r 135 4 recursively recursively RB cord-267890-j64x6f5r 135 5 , , , cord-267890-j64x6f5r 135 6 toward toward IN cord-267890-j64x6f5r 135 7 the the DT cord-267890-j64x6f5r 135 8 deterministic deterministic JJ cord-267890-j64x6f5r 135 9 limit limit NN cord-267890-j64x6f5r 135 10 of of IN cord-267890-j64x6f5r 135 11 R r NN cord-267890-j64x6f5r 135 12 f f NN cord-267890-j64x6f5r 135 13 R r NN cord-267890-j64x6f5r 135 14 m m NN cord-267890-j64x6f5r 135 15 . . . cord-267890-j64x6f5r 136 1 The the DT cord-267890-j64x6f5r 136 2 aim aim NN cord-267890-j64x6f5r 136 3 is be VBZ cord-267890-j64x6f5r 136 4 to to TO cord-267890-j64x6f5r 136 5 remain remain VB cord-267890-j64x6f5r 136 6 sufficiently sufficiently RB cord-267890-j64x6f5r 136 7 near near JJ cord-267890-j64x6f5r 136 8 to to IN cord-267890-j64x6f5r 136 9 the the DT cord-267890-j64x6f5r 136 10 lowest low JJS cord-267890-j64x6f5r 136 11 minimum minimum NN cord-267890-j64x6f5r 136 12 to to TO cord-267890-j64x6f5r 136 13 not not RB cord-267890-j64x6f5r 136 14 become become VB cord-267890-j64x6f5r 136 15 trapped trap VBN cord-267890-j64x6f5r 136 16 in in IN cord-267890-j64x6f5r 136 17 a a DT cord-267890-j64x6f5r 136 18 local local JJ cord-267890-j64x6f5r 136 19 minimum minimum NN cord-267890-j64x6f5r 136 20 as as IN cord-267890-j64x6f5r 136 21 the the DT cord-267890-j64x6f5r 136 22 surface surface NN cord-267890-j64x6f5r 136 23 becomes become VBZ cord-267890-j64x6f5r 136 24 resolved resolve VBN cord-267890-j64x6f5r 136 25 . . . cord-267890-j64x6f5r 137 1 We -PRON- PRP cord-267890-j64x6f5r 137 2 will will MD cord-267890-j64x6f5r 137 3 show show VB cord-267890-j64x6f5r 137 4 in in IN cord-267890-j64x6f5r 137 5 Results result NNS cord-267890-j64x6f5r 137 6 that that IN cord-267890-j64x6f5r 137 7 a a DT cord-267890-j64x6f5r 137 8 plot plot NN cord-267890-j64x6f5r 137 9 of of IN cord-267890-j64x6f5r 137 10 the the DT cord-267890-j64x6f5r 137 11 cost cost NN cord-267890-j64x6f5r 137 12 as as IN cord-267890-j64x6f5r 137 13 a a DT cord-267890-j64x6f5r 137 14 function function NN cord-267890-j64x6f5r 137 15 of of IN cord-267890-j64x6f5r 137 16 β β NN cord-267890-j64x6f5r 137 17 reveals reveal VBZ cord-267890-j64x6f5r 137 18 whether whether IN cord-267890-j64x6f5r 137 19 a a DT cord-267890-j64x6f5r 137 20 solution solution NN cord-267890-j64x6f5r 137 21 has have VBZ cord-267890-j64x6f5r 137 22 been be VBN cord-267890-j64x6f5r 137 23 found find VBN cord-267890-j64x6f5r 137 24 that that WDT cord-267890-j64x6f5r 137 25 is be VBZ cord-267890-j64x6f5r 137 26 consistent consistent JJ cord-267890-j64x6f5r 137 27 with with IN cord-267890-j64x6f5r 137 28 both both DT cord-267890-j64x6f5r 137 29 measurements measurement NNS cord-267890-j64x6f5r 137 30 and and CC cord-267890-j64x6f5r 137 31 model model NN cord-267890-j64x6f5r 137 32 . . . cord-267890-j64x6f5r 138 1 We -PRON- PRP cord-267890-j64x6f5r 138 2 based base VBD cord-267890-j64x6f5r 138 3 our -PRON- PRP$ cord-267890-j64x6f5r 138 4 simulated simulated JJ cord-267890-j64x6f5r 138 5 locality locality NN cord-267890-j64x6f5r 138 6 loosely loosely RB cord-267890-j64x6f5r 138 7 on on IN cord-267890-j64x6f5r 138 8 New New NNP cord-267890-j64x6f5r 138 9 York York NNP cord-267890-j64x6f5r 138 10 City City NNP cord-267890-j64x6f5r 138 11 3 3 CD cord-267890-j64x6f5r 138 12 , , , cord-267890-j64x6f5r 138 13 with with IN cord-267890-j64x6f5r 138 14 a a DT cord-267890-j64x6f5r 138 15 population population NN cord-267890-j64x6f5r 138 16 of of IN cord-267890-j64x6f5r 138 17 9 9 CD cord-267890-j64x6f5r 138 18 million million CD cord-267890-j64x6f5r 138 19 4 4 CD cord-267890-j64x6f5r 138 20 . . . cord-267890-j64x6f5r 139 1 Simulations simulation NNS cord-267890-j64x6f5r 139 2 ran run VBD cord-267890-j64x6f5r 139 3 from from IN cord-267890-j64x6f5r 139 4 an an DT cord-267890-j64x6f5r 139 5 initial initial JJ cord-267890-j64x6f5r 139 6 time time NN cord-267890-j64x6f5r 139 7 t t NN cord-267890-j64x6f5r 139 8 0 0 CD cord-267890-j64x6f5r 139 9 of of IN cord-267890-j64x6f5r 139 10 four four CD cord-267890-j64x6f5r 139 11 days day NNS cord-267890-j64x6f5r 139 12 prior prior RB cord-267890-j64x6f5r 139 13 5 5 CD cord-267890-j64x6f5r 139 14 to to IN cord-267890-j64x6f5r 139 15 2020 2020 CD cord-267890-j64x6f5r 139 16 March March NNP cord-267890-j64x6f5r 139 17 1 1 CD cord-267890-j64x6f5r 139 18 , , , cord-267890-j64x6f5r 139 19 the the DT cord-267890-j64x6f5r 139 20 date date NN cord-267890-j64x6f5r 139 21 of of IN cord-267890-j64x6f5r 139 22 the the DT cord-267890-j64x6f5r 139 23 first first JJ cord-267890-j64x6f5r 139 24 reported report VBN cord-267890-j64x6f5r 139 25 COVID-19 COVID-19 NNP cord-267890-j64x6f5r 139 26 case case NN cord-267890-j64x6f5r 139 27 in in IN cord-267890-j64x6f5r 139 28 New New NNP cord-267890-j64x6f5r 139 29 York York NNP cord-267890-j64x6f5r 139 30 City City NNP cord-267890-j64x6f5r 139 31 [ [ -LRB- cord-267890-j64x6f5r 139 32 35 35 CD cord-267890-j64x6f5r 139 33 ] ] -RRB- cord-267890-j64x6f5r 139 34 . . . cord-267890-j64x6f5r 140 1 At at IN cord-267890-j64x6f5r 140 2 time time NN cord-267890-j64x6f5r 140 3 t t NNP cord-267890-j64x6f5r 140 4 0 0 CD cord-267890-j64x6f5r 140 5 , , , cord-267890-j64x6f5r 140 6 there there EX cord-267890-j64x6f5r 140 7 existed exist VBD cord-267890-j64x6f5r 140 8 one one CD cord-267890-j64x6f5r 140 9 detected detect VBD cord-267890-j64x6f5r 140 10 symptomatic symptomatic JJ cord-267890-j64x6f5r 140 11 case case NN cord-267890-j64x6f5r 140 12 within within IN cord-267890-j64x6f5r 140 13 the the DT cord-267890-j64x6f5r 140 14 population population NN cord-267890-j64x6f5r 140 15 of of IN cord-267890-j64x6f5r 140 16 9 9 CD cord-267890-j64x6f5r 140 17 million million CD cord-267890-j64x6f5r 140 18 6 6 CD cord-267890-j64x6f5r 140 19 . . . cord-267890-j64x6f5r 141 1 We -PRON- PRP cord-267890-j64x6f5r 141 2 chose choose VBD cord-267890-j64x6f5r 141 3 five five CD cord-267890-j64x6f5r 141 4 quantities quantity NNS cord-267890-j64x6f5r 141 5 as as IN cord-267890-j64x6f5r 141 6 unknown unknown JJ cord-267890-j64x6f5r 141 7 parameters parameter NNS cord-267890-j64x6f5r 141 8 to to TO cord-267890-j64x6f5r 141 9 be be VB cord-267890-j64x6f5r 141 10 estimated estimate VBN cord-267890-j64x6f5r 141 11 ( ( -LRB- cord-267890-j64x6f5r 141 12 Table table NN cord-267890-j64x6f5r 141 13 1 1 CD cord-267890-j64x6f5r 141 14 ) ) -RRB- cord-267890-j64x6f5r 141 15 : : : cord-267890-j64x6f5r 141 16 1 1 LS cord-267890-j64x6f5r 141 17 ) ) -RRB- cord-267890-j64x6f5r 141 18 the the DT cord-267890-j64x6f5r 141 19 time time NN cord-267890-j64x6f5r 141 20 - - HYPH cord-267890-j64x6f5r 141 21 varying vary VBG cord-267890-j64x6f5r 141 22 transmission transmission NN cord-267890-j64x6f5r 141 23 rate rate NN cord-267890-j64x6f5r 142 1 K K NNP cord-267890-j64x6f5r 142 2 i i PRP cord-267890-j64x6f5r 142 3 ( ( -LRB- cord-267890-j64x6f5r 142 4 t t NN cord-267890-j64x6f5r 142 5 ) ) -RRB- cord-267890-j64x6f5r 143 1 ; ; : cord-267890-j64x6f5r 143 2 2 2 LS cord-267890-j64x6f5r 143 3 ) ) -RRB- cord-267890-j64x6f5r 143 4 the the DT cord-267890-j64x6f5r 143 5 detection detection NN cord-267890-j64x6f5r 143 6 probability probability NN cord-267890-j64x6f5r 143 7 of of IN cord-267890-j64x6f5r 143 8 mild mild JJ cord-267890-j64x6f5r 143 9 symptomatic symptomatic JJ cord-267890-j64x6f5r 143 10 cases case NNS cord-267890-j64x6f5r 143 11 d d XX cord-267890-j64x6f5r 143 12 Sym sym NN cord-267890-j64x6f5r 143 13 ( ( -LRB- cord-267890-j64x6f5r 143 14 t t NN cord-267890-j64x6f5r 143 15 ) ) -RRB- cord-267890-j64x6f5r 143 16 , , . cord-267890-j64x6f5r 144 1 3 3 LS cord-267890-j64x6f5r 144 2 ) ) -RRB- cord-267890-j64x6f5r 144 3 the the DT cord-267890-j64x6f5r 144 4 detection detection NN cord-267890-j64x6f5r 144 5 probability probability NN cord-267890-j64x6f5r 144 6 of of IN cord-267890-j64x6f5r 144 7 severe severe JJ cord-267890-j64x6f5r 144 8 symptomatic symptomatic JJ cord-267890-j64x6f5r 144 9 cases case NNS cord-267890-j64x6f5r 144 10 d d XX cord-267890-j64x6f5r 144 11 Sys Sys NNP cord-267890-j64x6f5r 144 12 ( ( -LRB- cord-267890-j64x6f5r 144 13 t t NN cord-267890-j64x6f5r 144 14 ) ) -RRB- cord-267890-j64x6f5r 144 15 , , , cord-267890-j64x6f5r 144 16 4 4 LS cord-267890-j64x6f5r 144 17 ) ) -RRB- cord-267890-j64x6f5r 144 18 the the DT cord-267890-j64x6f5r 144 19 fraction fraction NN cord-267890-j64x6f5r 144 20 of of IN cord-267890-j64x6f5r 144 21 cases case NNS cord-267890-j64x6f5r 144 22 that that WDT cord-267890-j64x6f5r 144 23 become become VBP cord-267890-j64x6f5r 144 24 symptomatic symptomatic JJ cord-267890-j64x6f5r 144 25 f f NN cord-267890-j64x6f5r 144 26 sympt sympt NN cord-267890-j64x6f5r 144 27 , , , cord-267890-j64x6f5r 144 28 and and CC cord-267890-j64x6f5r 144 29 5 5 LS cord-267890-j64x6f5r 144 30 ) ) -RRB- cord-267890-j64x6f5r 144 31 the the DT cord-267890-j64x6f5r 144 32 fraction fraction NN cord-267890-j64x6f5r 144 33 of of IN cord-267890-j64x6f5r 144 34 symptomatic symptomatic JJ cord-267890-j64x6f5r 144 35 cases case NNS cord-267890-j64x6f5r 144 36 that that WDT cord-267890-j64x6f5r 144 37 become become VBP cord-267890-j64x6f5r 144 38 severe severe JJ cord-267890-j64x6f5r 144 39 enough enough RB cord-267890-j64x6f5r 144 40 to to TO cord-267890-j64x6f5r 144 41 require require VB cord-267890-j64x6f5r 144 42 hospitalization hospitalization NN cord-267890-j64x6f5r 144 43 f f NN cord-267890-j64x6f5r 144 44 severe severe JJ cord-267890-j64x6f5r 144 45 . . . cord-267890-j64x6f5r 145 1 Here here RB cord-267890-j64x6f5r 145 2 we -PRON- PRP cord-267890-j64x6f5r 145 3 summarize summarize VBP cord-267890-j64x6f5r 145 4 the the DT cord-267890-j64x6f5r 145 5 key key JJ cord-267890-j64x6f5r 145 6 features feature NNS cord-267890-j64x6f5r 145 7 that that WDT cord-267890-j64x6f5r 145 8 we -PRON- PRP cord-267890-j64x6f5r 145 9 2 2 CD cord-267890-j64x6f5r 146 1 It -PRON- PRP cord-267890-j64x6f5r 146 2 may may MD cord-267890-j64x6f5r 146 3 interest interest VB cord-267890-j64x6f5r 146 4 the the DT cord-267890-j64x6f5r 146 5 reader reader NN cord-267890-j64x6f5r 146 6 that that IN cord-267890-j64x6f5r 146 7 one one PRP cord-267890-j64x6f5r 146 8 can can MD cord-267890-j64x6f5r 146 9 derive derive VB cord-267890-j64x6f5r 146 10 this this DT cord-267890-j64x6f5r 146 11 cost cost NN cord-267890-j64x6f5r 146 12 function function NN cord-267890-j64x6f5r 146 13 by by IN cord-267890-j64x6f5r 146 14 considering consider VBG cord-267890-j64x6f5r 146 15 the the DT cord-267890-j64x6f5r 146 16 classical classical JJ cord-267890-j64x6f5r 146 17 physical physical JJ cord-267890-j64x6f5r 146 18 Action Action NNP cord-267890-j64x6f5r 146 19 on on IN cord-267890-j64x6f5r 146 20 a a DT cord-267890-j64x6f5r 146 21 path path NN cord-267890-j64x6f5r 146 22 in in IN cord-267890-j64x6f5r 146 23 a a DT cord-267890-j64x6f5r 146 24 state state NN cord-267890-j64x6f5r 146 25 space space NN cord-267890-j64x6f5r 146 26 , , , cord-267890-j64x6f5r 146 27 where where WRB cord-267890-j64x6f5r 146 28 the the DT cord-267890-j64x6f5r 146 29 path path NN cord-267890-j64x6f5r 146 30 of of IN cord-267890-j64x6f5r 146 31 lowest low JJS cord-267890-j64x6f5r 146 32 Action Action NNP cord-267890-j64x6f5r 146 33 corresponds correspond VBZ cord-267890-j64x6f5r 146 34 to to IN cord-267890-j64x6f5r 146 35 the the DT cord-267890-j64x6f5r 146 36 correct correct JJ cord-267890-j64x6f5r 146 37 solution solution NN cord-267890-j64x6f5r 147 1 [ [ -LRB- cord-267890-j64x6f5r 147 2 26 26 CD cord-267890-j64x6f5r 147 3 ] ] -RRB- cord-267890-j64x6f5r 147 4 3 3 CD cord-267890-j64x6f5r 148 1 The the DT cord-267890-j64x6f5r 148 2 model model NN cord-267890-j64x6f5r 148 3 has have VBZ cord-267890-j64x6f5r 148 4 been be VBN cord-267890-j64x6f5r 148 5 written write VBN cord-267890-j64x6f5r 148 6 to to TO cord-267890-j64x6f5r 148 7 inform inform VB cord-267890-j64x6f5r 148 8 policy policy NN cord-267890-j64x6f5r 148 9 for for IN cord-267890-j64x6f5r 148 10 the the DT cord-267890-j64x6f5r 148 11 state state NN cord-267890-j64x6f5r 148 12 of of IN cord-267890-j64x6f5r 148 13 Illinois Illinois NNP cord-267890-j64x6f5r 148 14 , , , cord-267890-j64x6f5r 148 15 but but CC cord-267890-j64x6f5r 148 16 it -PRON- PRP cord-267890-j64x6f5r 148 17 generalizes generalize VBZ cord-267890-j64x6f5r 148 18 to to IN cord-267890-j64x6f5r 148 19 any any DT cord-267890-j64x6f5r 148 20 geographical geographical JJ cord-267890-j64x6f5r 148 21 region region NN cord-267890-j64x6f5r 148 22 . . . cord-267890-j64x6f5r 149 1 4 4 LS cord-267890-j64x6f5r 150 1 For for IN cord-267890-j64x6f5r 150 2 simplicity simplicity NN cord-267890-j64x6f5r 150 3 , , , cord-267890-j64x6f5r 150 4 we -PRON- PRP cord-267890-j64x6f5r 150 5 assume assume VBP cord-267890-j64x6f5r 150 6 a a DT cord-267890-j64x6f5r 150 7 closed closed JJ cord-267890-j64x6f5r 150 8 population population NN cord-267890-j64x6f5r 150 9 . . . cord-267890-j64x6f5r 151 1 5 5 LS cord-267890-j64x6f5r 152 1 In in IN cord-267890-j64x6f5r 152 2 the the DT cord-267890-j64x6f5r 152 3 case case NN cord-267890-j64x6f5r 152 4 of of IN cord-267890-j64x6f5r 152 5 New New NNP cord-267890-j64x6f5r 152 6 York York NNP cord-267890-j64x6f5r 152 7 City City NNP cord-267890-j64x6f5r 152 8 , , , cord-267890-j64x6f5r 152 9 the the DT cord-267890-j64x6f5r 152 10 first first RB cord-267890-j64x6f5r 152 11 known known JJ cord-267890-j64x6f5r 152 12 symptomatic symptomatic JJ cord-267890-j64x6f5r 152 13 individual individual JJ cord-267890-j64x6f5r 152 14 re re NN cord-267890-j64x6f5r 152 15 - - VBN cord-267890-j64x6f5r 152 16 entered enter VBD cord-267890-j64x6f5r 152 17 the the DT cord-267890-j64x6f5r 152 18 U.S. U.S. NNP cord-267890-j64x6f5r 152 19 from from IN cord-267890-j64x6f5r 152 20 Iran Iran NNP cord-267890-j64x6f5r 152 21 several several JJ cord-267890-j64x6f5r 152 22 days day NNS cord-267890-j64x6f5r 152 23 prior prior RB cord-267890-j64x6f5r 152 24 , , , cord-267890-j64x6f5r 152 25 and and CC cord-267890-j64x6f5r 152 26 may may MD cord-267890-j64x6f5r 152 27 have have VB cord-267890-j64x6f5r 152 28 been be VBN cord-267890-j64x6f5r 152 29 infected infect VBN cord-267890-j64x6f5r 152 30 on on IN cord-267890-j64x6f5r 152 31 that that DT cord-267890-j64x6f5r 152 32 date date NN cord-267890-j64x6f5r 152 33 [ [ -LRB- cord-267890-j64x6f5r 152 34 35 35 CD cord-267890-j64x6f5r 152 35 ] ] -RRB- cord-267890-j64x6f5r 152 36 . . . cord-267890-j64x6f5r 153 1 6 6 CD cord-267890-j64x6f5r 154 1 The the DT cord-267890-j64x6f5r 154 2 true true JJ cord-267890-j64x6f5r 154 3 number number NN cord-267890-j64x6f5r 154 4 of of IN cord-267890-j64x6f5r 154 5 initial initial JJ cord-267890-j64x6f5r 154 6 cases case NNS cord-267890-j64x6f5r 154 7 is be VBZ cord-267890-j64x6f5r 154 8 likely likely JJ cord-267890-j64x6f5r 154 9 to to TO cord-267890-j64x6f5r 154 10 be be VB cord-267890-j64x6f5r 154 11 far far RB cord-267890-j64x6f5r 154 12 higher high JJR cord-267890-j64x6f5r 154 13 . . . cord-267890-j64x6f5r 155 1 We -PRON- PRP cord-267890-j64x6f5r 155 2 are be VBP cord-267890-j64x6f5r 155 3 currently currently RB cord-267890-j64x6f5r 155 4 examining examine VBG cord-267890-j64x6f5r 155 5 the the DT cord-267890-j64x6f5r 155 6 model model NN cord-267890-j64x6f5r 155 7 's 's POS cord-267890-j64x6f5r 155 8 sensitivity sensitivity NN cord-267890-j64x6f5r 155 9 to to IN cord-267890-j64x6f5r 155 10 initial initial JJ cord-267890-j64x6f5r 155 11 conditions condition NNS cord-267890-j64x6f5r 155 12 on on IN cord-267890-j64x6f5r 155 13 population population NN cord-267890-j64x6f5r 155 14 numbers number NNS cord-267890-j64x6f5r 155 15 . . . cord-267890-j64x6f5r 156 1 Meanwhile meanwhile RB cord-267890-j64x6f5r 156 2 , , , cord-267890-j64x6f5r 156 3 it -PRON- PRP cord-267890-j64x6f5r 156 4 is be VBZ cord-267890-j64x6f5r 156 5 important important JJ cord-267890-j64x6f5r 156 6 to to TO cord-267890-j64x6f5r 156 7 examine examine VB cord-267890-j64x6f5r 156 8 the the DT cord-267890-j64x6f5r 156 9 SDA SDA NNP cord-267890-j64x6f5r 156 10 behavior behavior NN cord-267890-j64x6f5r 156 11 over over IN cord-267890-j64x6f5r 156 12 a a DT cord-267890-j64x6f5r 156 13 range range NN cord-267890-j64x6f5r 156 14 of of IN cord-267890-j64x6f5r 156 15 choices choice NNS cord-267890-j64x6f5r 156 16 for for IN cord-267890-j64x6f5r 156 17 initial initial JJ cord-267890-j64x6f5r 156 18 conditions condition NNS cord-267890-j64x6f5r 156 19 , , , cord-267890-j64x6f5r 156 20 and and CC cord-267890-j64x6f5r 156 21 we -PRON- PRP cord-267890-j64x6f5r 156 22 were be VBD cord-267890-j64x6f5r 156 23 struck strike VBN cord-267890-j64x6f5r 156 24 by by IN cord-267890-j64x6f5r 156 25 the the DT cord-267890-j64x6f5r 156 26 rapid rapid JJ cord-267890-j64x6f5r 156 27 grown grown NN cord-267890-j64x6f5r 156 28 of of IN cord-267890-j64x6f5r 156 29 the the DT cord-267890-j64x6f5r 156 30 infected infected JJ cord-267890-j64x6f5r 156 31 population population NN cord-267890-j64x6f5r 157 1 -even -even : cord-267890-j64x6f5r 157 2 given give VBN cord-267890-j64x6f5r 157 3 an an DT cord-267890-j64x6f5r 157 4 initial initial JJ cord-267890-j64x6f5r 157 5 infected infected JJ cord-267890-j64x6f5r 157 6 population population NN cord-267890-j64x6f5r 157 7 of of IN cord-267890-j64x6f5r 157 8 one one CD cord-267890-j64x6f5r 157 9 . . . cord-267890-j64x6f5r 157 10 . . . cord-267890-j64x6f5r 158 1 CC CC NNP cord-267890-j64x6f5r 158 2 - - HYPH cord-267890-j64x6f5r 158 3 BY BY NNP cord-267890-j64x6f5r 158 4 - - HYPH cord-267890-j64x6f5r 158 5 NC NC NNP cord-267890-j64x6f5r 158 6 - - HYPH cord-267890-j64x6f5r 158 7 ND ND NNP cord-267890-j64x6f5r 158 8 4.0 4.0 CD cord-267890-j64x6f5r 158 9 International international JJ cord-267890-j64x6f5r 158 10 license license NN cord-267890-j64x6f5r 159 1 It -PRON- PRP cord-267890-j64x6f5r 159 2 is be VBZ cord-267890-j64x6f5r 159 3 made make VBN cord-267890-j64x6f5r 159 4 available available JJ cord-267890-j64x6f5r 159 5 under under IN cord-267890-j64x6f5r 159 6 a a DT cord-267890-j64x6f5r 160 1 is be VBZ cord-267890-j64x6f5r 160 2 the the DT cord-267890-j64x6f5r 160 3 author author NN cord-267890-j64x6f5r 160 4 / / SYM cord-267890-j64x6f5r 160 5 funder funder NN cord-267890-j64x6f5r 160 6 , , , cord-267890-j64x6f5r 160 7 who who WP cord-267890-j64x6f5r 160 8 has have VBZ cord-267890-j64x6f5r 160 9 granted grant VBN cord-267890-j64x6f5r 160 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 160 11 a a DT cord-267890-j64x6f5r 160 12 license license NN cord-267890-j64x6f5r 160 13 to to TO cord-267890-j64x6f5r 160 14 display display VB cord-267890-j64x6f5r 160 15 the the DT cord-267890-j64x6f5r 160 16 preprint preprint NN cord-267890-j64x6f5r 160 17 in in IN cord-267890-j64x6f5r 160 18 perpetuity perpetuity NN cord-267890-j64x6f5r 160 19 . . . cord-267890-j64x6f5r 161 1 The the DT cord-267890-j64x6f5r 161 2 copyright copyright NN cord-267890-j64x6f5r 161 3 holder holder NN cord-267890-j64x6f5r 161 4 for for IN cord-267890-j64x6f5r 161 5 this this DT cord-267890-j64x6f5r 161 6 preprint preprint NN cord-267890-j64x6f5r 161 7 this this DT cord-267890-j64x6f5r 161 8 version version NN cord-267890-j64x6f5r 161 9 posted post VBN cord-267890-j64x6f5r 161 10 May May NNP cord-267890-j64x6f5r 161 11 29 29 CD cord-267890-j64x6f5r 161 12 , , , cord-267890-j64x6f5r 161 13 2020 2020 CD cord-267890-j64x6f5r 161 14 . . . cord-267890-j64x6f5r 161 15 . . . cord-267890-j64x6f5r 162 1 Table table NN cord-267890-j64x6f5r 162 2 1 1 CD cord-267890-j64x6f5r 162 3 : : : cord-267890-j64x6f5r 163 1 Unknown unknown JJ cord-267890-j64x6f5r 163 2 parameters parameter NNS cord-267890-j64x6f5r 163 3 to to TO cord-267890-j64x6f5r 163 4 be be VB cord-267890-j64x6f5r 163 5 estimated estimate VBN cord-267890-j64x6f5r 163 6 . . . cord-267890-j64x6f5r 164 1 K K NNP cord-267890-j64x6f5r 164 2 i i NNP cord-267890-j64x6f5r 164 3 , , , cord-267890-j64x6f5r 164 4 d d NNP cord-267890-j64x6f5r 164 5 Sym Sym NNP cord-267890-j64x6f5r 164 6 , , , cord-267890-j64x6f5r 164 7 and and CC cord-267890-j64x6f5r 164 8 d d NNP cord-267890-j64x6f5r 164 9 Sys Sys NNP cord-267890-j64x6f5r 164 10 are be VBP cord-267890-j64x6f5r 164 11 taken take VBN cord-267890-j64x6f5r 164 12 to to TO cord-267890-j64x6f5r 164 13 be be VB cord-267890-j64x6f5r 164 14 time time NN cord-267890-j64x6f5r 164 15 - - HYPH cord-267890-j64x6f5r 164 16 varying varying NN cord-267890-j64x6f5r 164 17 . . . cord-267890-j64x6f5r 165 1 Parameters parameter NNS cord-267890-j64x6f5r 165 2 f f IN cord-267890-j64x6f5r 165 3 sympt sympt NN cord-267890-j64x6f5r 165 4 and and CC cord-267890-j64x6f5r 165 5 f f NNP cord-267890-j64x6f5r 165 6 severe severe JJ cord-267890-j64x6f5r 165 7 are be VBP cord-267890-j64x6f5r 165 8 constant constant JJ cord-267890-j64x6f5r 165 9 numbers number NNS cord-267890-j64x6f5r 165 10 , , , cord-267890-j64x6f5r 165 11 as as IN cord-267890-j64x6f5r 165 12 they -PRON- PRP cord-267890-j64x6f5r 165 13 are be VBP cord-267890-j64x6f5r 165 14 assumed assume VBN cord-267890-j64x6f5r 165 15 to to TO cord-267890-j64x6f5r 165 16 reflect reflect VB cord-267890-j64x6f5r 165 17 an an DT cord-267890-j64x6f5r 165 18 intrinsic intrinsic JJ cord-267890-j64x6f5r 165 19 property property NN cord-267890-j64x6f5r 165 20 of of IN cord-267890-j64x6f5r 165 21 the the DT cord-267890-j64x6f5r 165 22 disease disease NN cord-267890-j64x6f5r 165 23 . . . cord-267890-j64x6f5r 166 1 The the DT cord-267890-j64x6f5r 166 2 detection detection NN cord-267890-j64x6f5r 166 3 probability probability NN cord-267890-j64x6f5r 166 4 of of IN cord-267890-j64x6f5r 166 5 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 166 6 cases case NNS cord-267890-j64x6f5r 166 7 is be VBZ cord-267890-j64x6f5r 166 8 taken take VBN cord-267890-j64x6f5r 166 9 to to TO cord-267890-j64x6f5r 166 10 be be VB cord-267890-j64x6f5r 166 11 known know VBN cord-267890-j64x6f5r 166 12 and and CC cord-267890-j64x6f5r 166 13 zero zero CD cord-267890-j64x6f5r 166 14 . . . cord-267890-j64x6f5r 167 1 Time time NN cord-267890-j64x6f5r 167 2 - - HYPH cord-267890-j64x6f5r 167 3 varying vary VBG cord-267890-j64x6f5r 167 4 detection detection NN cord-267890-j64x6f5r 167 5 probability probability NN cord-267890-j64x6f5r 167 6 of of IN cord-267890-j64x6f5r 168 1 mild mild JJ cord-267890-j64x6f5r 168 2 symptomatics symptomatic NNS cord-267890-j64x6f5r 168 3 d d NNP cord-267890-j64x6f5r 168 4 Sys Sys NNP cord-267890-j64x6f5r 168 5 ( ( -LRB- cord-267890-j64x6f5r 168 6 t t NN cord-267890-j64x6f5r 168 7 ) ) -RRB- cord-267890-j64x6f5r 168 8 Time time NN cord-267890-j64x6f5r 168 9 - - HYPH cord-267890-j64x6f5r 168 10 varying vary VBG cord-267890-j64x6f5r 168 11 detection detection NN cord-267890-j64x6f5r 168 12 probability probability NN cord-267890-j64x6f5r 168 13 of of IN cord-267890-j64x6f5r 168 14 symptomatics symptomatic NNS cord-267890-j64x6f5r 168 15 requiring require VBG cord-267890-j64x6f5r 168 16 hospitalization hospitalization NN cord-267890-j64x6f5r 168 17 f f NNP cord-267890-j64x6f5r 168 18 sympt sympt NNP cord-267890-j64x6f5r 168 19 Fraction Fraction NNP cord-267890-j64x6f5r 168 20 of of IN cord-267890-j64x6f5r 168 21 positive positive JJ cord-267890-j64x6f5r 168 22 cases case NNS cord-267890-j64x6f5r 168 23 that that WDT cord-267890-j64x6f5r 168 24 produce produce VBP cord-267890-j64x6f5r 168 25 symptoms symptom NNS cord-267890-j64x6f5r 168 26 f f NNP cord-267890-j64x6f5r 168 27 severe severe JJ cord-267890-j64x6f5r 168 28 Fraction Fraction NNP cord-267890-j64x6f5r 168 29 of of IN cord-267890-j64x6f5r 168 30 symptomatics symptomatic NNS cord-267890-j64x6f5r 168 31 that that WDT cord-267890-j64x6f5r 168 32 are be VBP cord-267890-j64x6f5r 168 33 severe severe JJ cord-267890-j64x6f5r 168 34 sought seek VBN cord-267890-j64x6f5r 168 35 to to TO cord-267890-j64x6f5r 168 36 capture capture VB cord-267890-j64x6f5r 168 37 in in IN cord-267890-j64x6f5r 168 38 modeling model VBG cord-267890-j64x6f5r 168 39 these these DT cord-267890-j64x6f5r 168 40 parameters parameter NNS cord-267890-j64x6f5r 168 41 ; ; : cord-267890-j64x6f5r 168 42 for for IN cord-267890-j64x6f5r 168 43 their -PRON- PRP$ cord-267890-j64x6f5r 168 44 mathematical mathematical JJ cord-267890-j64x6f5r 168 45 formulatons formulaton NNS cord-267890-j64x6f5r 168 46 , , , cord-267890-j64x6f5r 168 47 see see VB cord-267890-j64x6f5r 168 48 Appendix Appendix NNP cord-267890-j64x6f5r 168 49 B. B. NNP cord-267890-j64x6f5r 169 1 The the DT cord-267890-j64x6f5r 169 2 transmission transmission NN cord-267890-j64x6f5r 169 3 rate rate NN cord-267890-j64x6f5r 170 1 K K NNP cord-267890-j64x6f5r 170 2 i i PRP cord-267890-j64x6f5r 170 3 ( ( -LRB- cord-267890-j64x6f5r 170 4 often often RB cord-267890-j64x6f5r 170 5 referred refer VBN cord-267890-j64x6f5r 170 6 to to IN cord-267890-j64x6f5r 170 7 as as IN cord-267890-j64x6f5r 170 8 the the DT cord-267890-j64x6f5r 170 9 effective effective JJ cord-267890-j64x6f5r 170 10 contact contact NN cord-267890-j64x6f5r 170 11 rate rate NN cord-267890-j64x6f5r 170 12 ) ) -RRB- cord-267890-j64x6f5r 170 13 in in IN cord-267890-j64x6f5r 170 14 a a DT cord-267890-j64x6f5r 170 15 given give VBN cord-267890-j64x6f5r 170 16 population population NN cord-267890-j64x6f5r 170 17 for for IN cord-267890-j64x6f5r 170 18 a a DT cord-267890-j64x6f5r 170 19 given give VBN cord-267890-j64x6f5r 170 20 infectious infectious JJ cord-267890-j64x6f5r 170 21 disease disease NN cord-267890-j64x6f5r 170 22 is be VBZ cord-267890-j64x6f5r 170 23 measured measure VBN cord-267890-j64x6f5r 170 24 in in IN cord-267890-j64x6f5r 170 25 effective effective JJ cord-267890-j64x6f5r 170 26 contacts contact NNS cord-267890-j64x6f5r 170 27 per per IN cord-267890-j64x6f5r 170 28 unit unit NN cord-267890-j64x6f5r 170 29 time time NN cord-267890-j64x6f5r 170 30 . . . cord-267890-j64x6f5r 171 1 This this DT cord-267890-j64x6f5r 171 2 may may MD cord-267890-j64x6f5r 171 3 be be VB cord-267890-j64x6f5r 171 4 expressed express VBN cord-267890-j64x6f5r 171 5 as as IN cord-267890-j64x6f5r 171 6 the the DT cord-267890-j64x6f5r 171 7 total total JJ cord-267890-j64x6f5r 171 8 contact contact NN cord-267890-j64x6f5r 171 9 rate rate NN cord-267890-j64x6f5r 171 10 multiplied multiply VBN cord-267890-j64x6f5r 171 11 by by IN cord-267890-j64x6f5r 171 12 the the DT cord-267890-j64x6f5r 171 13 risk risk NN cord-267890-j64x6f5r 171 14 of of IN cord-267890-j64x6f5r 171 15 infection infection NN cord-267890-j64x6f5r 171 16 , , , cord-267890-j64x6f5r 171 17 given give VBN cord-267890-j64x6f5r 171 18 contact contact NN cord-267890-j64x6f5r 171 19 between between IN cord-267890-j64x6f5r 171 20 an an DT cord-267890-j64x6f5r 171 21 infectious infectious JJ cord-267890-j64x6f5r 171 22 and and CC cord-267890-j64x6f5r 171 23 a a DT cord-267890-j64x6f5r 171 24 susceptible susceptible JJ cord-267890-j64x6f5r 171 25 individual individual NN cord-267890-j64x6f5r 171 26 . . . cord-267890-j64x6f5r 172 1 The the DT cord-267890-j64x6f5r 172 2 contact contact NN cord-267890-j64x6f5r 172 3 rate rate NN cord-267890-j64x6f5r 172 4 , , , cord-267890-j64x6f5r 172 5 in in IN cord-267890-j64x6f5r 172 6 turn turn NN cord-267890-j64x6f5r 172 7 , , , cord-267890-j64x6f5r 172 8 can can MD cord-267890-j64x6f5r 172 9 be be VB cord-267890-j64x6f5r 172 10 impacted impact VBN cord-267890-j64x6f5r 172 11 by by IN cord-267890-j64x6f5r 172 12 amendments amendment NNS cord-267890-j64x6f5r 172 13 to to IN cord-267890-j64x6f5r 172 14 social social JJ cord-267890-j64x6f5r 172 15 behavior behavior NNP cord-267890-j64x6f5r 172 16 7 7 CD cord-267890-j64x6f5r 172 17 . . . cord-267890-j64x6f5r 173 1 As as IN cord-267890-j64x6f5r 173 2 a a DT cord-267890-j64x6f5r 173 3 first first JJ cord-267890-j64x6f5r 173 4 step step NN cord-267890-j64x6f5r 173 5 in in IN cord-267890-j64x6f5r 173 6 applying apply VBG cord-267890-j64x6f5r 173 7 SDA SDA NNP cord-267890-j64x6f5r 173 8 to to IN cord-267890-j64x6f5r 173 9 a a DT cord-267890-j64x6f5r 173 10 high high JJ cord-267890-j64x6f5r 173 11 - - HYPH cord-267890-j64x6f5r 173 12 dimensional dimensional JJ cord-267890-j64x6f5r 173 13 epidemiological epidemiological JJ cord-267890-j64x6f5r 173 14 model model NN cord-267890-j64x6f5r 173 15 , , , cord-267890-j64x6f5r 173 16 we -PRON- PRP cord-267890-j64x6f5r 173 17 chose choose VBD cord-267890-j64x6f5r 173 18 to to TO cord-267890-j64x6f5r 173 19 condense condense VB cord-267890-j64x6f5r 173 20 the the DT cord-267890-j64x6f5r 173 21 significance significance NN cord-267890-j64x6f5r 173 22 of of IN cord-267890-j64x6f5r 173 23 K K NNP cord-267890-j64x6f5r 173 24 i i PRP cord-267890-j64x6f5r 173 25 into into IN cord-267890-j64x6f5r 173 26 a a DT cord-267890-j64x6f5r 173 27 relatively relatively RB cord-267890-j64x6f5r 173 28 simple simple JJ cord-267890-j64x6f5r 173 29 mathematical mathematical JJ cord-267890-j64x6f5r 173 30 form form NN cord-267890-j64x6f5r 173 31 . . . cord-267890-j64x6f5r 174 1 We -PRON- PRP cord-267890-j64x6f5r 174 2 assumed assume VBD cord-267890-j64x6f5r 174 3 that that IN cord-267890-j64x6f5r 174 4 K K NNP cord-267890-j64x6f5r 174 5 i i PRP cord-267890-j64x6f5r 174 6 was be VBD cord-267890-j64x6f5r 174 7 constant constant JJ cord-267890-j64x6f5r 174 8 prior prior RB cord-267890-j64x6f5r 174 9 to to IN cord-267890-j64x6f5r 174 10 the the DT cord-267890-j64x6f5r 174 11 implementation implementation NN cord-267890-j64x6f5r 174 12 of of IN cord-267890-j64x6f5r 174 13 a a DT cord-267890-j64x6f5r 174 14 social social JJ cord-267890-j64x6f5r 174 15 - - HYPH cord-267890-j64x6f5r 174 16 distancing distance VBG cord-267890-j64x6f5r 174 17 mandate mandate NN cord-267890-j64x6f5r 174 18 , , , cord-267890-j64x6f5r 174 19 which which WDT cord-267890-j64x6f5r 174 20 then then RB cord-267890-j64x6f5r 174 21 effected effect VBD cord-267890-j64x6f5r 174 22 a a DT cord-267890-j64x6f5r 174 23 rapid rapid JJ cord-267890-j64x6f5r 174 24 transition transition NN cord-267890-j64x6f5r 174 25 of of IN cord-267890-j64x6f5r 174 26 K K NNP cord-267890-j64x6f5r 174 27 i i PRP cord-267890-j64x6f5r 174 28 to to IN cord-267890-j64x6f5r 174 29 a a DT cord-267890-j64x6f5r 174 30 lower low JJR cord-267890-j64x6f5r 174 31 constant constant JJ cord-267890-j64x6f5r 174 32 value value NN cord-267890-j64x6f5r 174 33 . . . cord-267890-j64x6f5r 175 1 Specifically specifically RB cord-267890-j64x6f5r 175 2 , , , cord-267890-j64x6f5r 175 3 we -PRON- PRP cord-267890-j64x6f5r 175 4 modeled model VBD cord-267890-j64x6f5r 175 5 K K NNP cord-267890-j64x6f5r 175 6 i i PRP cord-267890-j64x6f5r 175 7 as as IN cord-267890-j64x6f5r 175 8 a a DT cord-267890-j64x6f5r 175 9 smooth smooth JJ cord-267890-j64x6f5r 175 10 approximation approximation NN cord-267890-j64x6f5r 175 11 to to IN cord-267890-j64x6f5r 175 12 a a DT cord-267890-j64x6f5r 175 13 Heaviside Heaviside NNP cord-267890-j64x6f5r 175 14 function function NN cord-267890-j64x6f5r 175 15 that that WDT cord-267890-j64x6f5r 175 16 begins begin VBZ cord-267890-j64x6f5r 175 17 its -PRON- PRP$ cord-267890-j64x6f5r 175 18 decline decline NN cord-267890-j64x6f5r 175 19 on on IN cord-267890-j64x6f5r 175 20 March March NNP cord-267890-j64x6f5r 175 21 22 22 CD cord-267890-j64x6f5r 175 22 , , , cord-267890-j64x6f5r 175 23 the the DT cord-267890-j64x6f5r 175 24 date date NN cord-267890-j64x6f5r 175 25 that that WDT cord-267890-j64x6f5r 175 26 the the DT cord-267890-j64x6f5r 175 27 stay stay VB cord-267890-j64x6f5r 175 28 - - HYPH cord-267890-j64x6f5r 175 29 at at IN cord-267890-j64x6f5r 175 30 - - HYPH cord-267890-j64x6f5r 175 31 home home NN cord-267890-j64x6f5r 175 32 order order NN cord-267890-j64x6f5r 175 33 took take VBD cord-267890-j64x6f5r 175 34 effect effect NN cord-267890-j64x6f5r 175 35 in in IN cord-267890-j64x6f5r 175 36 New New NNP cord-267890-j64x6f5r 175 37 York York NNP cord-267890-j64x6f5r 175 38 City City NNP cord-267890-j64x6f5r 175 39 [ [ -LRB- cord-267890-j64x6f5r 175 40 39 39 CD cord-267890-j64x6f5r 175 41 ] ] -RRB- cord-267890-j64x6f5r 175 42 : : : cord-267890-j64x6f5r 175 43 25 25 CD cord-267890-j64x6f5r 175 44 days day NNS cord-267890-j64x6f5r 175 45 after after IN cord-267890-j64x6f5r 175 46 time time NN cord-267890-j64x6f5r 175 47 t t NN cord-267890-j64x6f5r 175 48 0 0 CD cord-267890-j64x6f5r 175 49 . . . cord-267890-j64x6f5r 176 1 For for IN cord-267890-j64x6f5r 176 2 further further JJ cord-267890-j64x6f5r 176 3 simplicity simplicity NN cord-267890-j64x6f5r 176 4 , , , cord-267890-j64x6f5r 176 5 we -PRON- PRP cord-267890-j64x6f5r 176 6 took take VBD cord-267890-j64x6f5r 176 7 K K NNP cord-267890-j64x6f5r 176 8 i i PRP cord-267890-j64x6f5r 176 9 to to TO cord-267890-j64x6f5r 176 10 reflect reflect VB cord-267890-j64x6f5r 176 11 a a DT cord-267890-j64x6f5r 176 12 single single JJ cord-267890-j64x6f5r 176 13 implementation implementation NN cord-267890-j64x6f5r 176 14 of of IN cord-267890-j64x6f5r 176 15 a a DT cord-267890-j64x6f5r 176 16 social social JJ cord-267890-j64x6f5r 176 17 distancing distancing NN cord-267890-j64x6f5r 176 18 protocol protocol NN cord-267890-j64x6f5r 176 19 , , , cord-267890-j64x6f5r 176 20 and and CC cord-267890-j64x6f5r 176 21 adherence adherence NN cord-267890-j64x6f5r 176 22 to to IN cord-267890-j64x6f5r 176 23 that that DT cord-267890-j64x6f5r 176 24 protocol protocol NN cord-267890-j64x6f5r 176 25 throughout throughout IN cord-267890-j64x6f5r 176 26 the the DT cord-267890-j64x6f5r 176 27 remaining remain VBG cord-267890-j64x6f5r 176 28 temporal temporal JJ cord-267890-j64x6f5r 176 29 baseline baseline NN cord-267890-j64x6f5r 176 30 of of IN cord-267890-j64x6f5r 176 31 estimation estimation NN cord-267890-j64x6f5r 176 32 8 8 CD cord-267890-j64x6f5r 176 33 . . . cord-267890-j64x6f5r 177 1 Detection detection NN cord-267890-j64x6f5r 177 2 rates rate NNS cord-267890-j64x6f5r 177 3 impact impact VBP cord-267890-j64x6f5r 177 4 the the DT cord-267890-j64x6f5r 177 5 sizes size NNS cord-267890-j64x6f5r 177 6 of of IN cord-267890-j64x6f5r 177 7 the the DT cord-267890-j64x6f5r 177 8 subpopulations subpopulation NNS cord-267890-j64x6f5r 177 9 entering enter VBG cord-267890-j64x6f5r 177 10 hospitals hospital NNS cord-267890-j64x6f5r 177 11 , , , cord-267890-j64x6f5r 177 12 and and CC cord-267890-j64x6f5r 177 13 their -PRON- PRP$ cord-267890-j64x6f5r 177 14 values value NNS cord-267890-j64x6f5r 177 15 are be VBP cord-267890-j64x6f5r 177 16 highly highly RB cord-267890-j64x6f5r 177 17 uncertain uncertain JJ cord-267890-j64x6f5r 177 18 [ [ -LRB- cord-267890-j64x6f5r 177 19 2 2 CD cord-267890-j64x6f5r 177 20 , , , cord-267890-j64x6f5r 177 21 3 3 CD cord-267890-j64x6f5r 177 22 ] ] -RRB- cord-267890-j64x6f5r 177 23 . . . cord-267890-j64x6f5r 178 1 Thus thus RB cord-267890-j64x6f5r 178 2 we -PRON- PRP cord-267890-j64x6f5r 178 3 took take VBD cord-267890-j64x6f5r 178 4 these these DT cord-267890-j64x6f5r 178 5 quantities quantity NNS cord-267890-j64x6f5r 178 6 to to TO cord-267890-j64x6f5r 178 7 be be VB cord-267890-j64x6f5r 178 8 unknown unknown JJ cord-267890-j64x6f5r 178 9 , , , cord-267890-j64x6f5r 178 10 and and CC cord-267890-j64x6f5r 178 11 -as -as CD cord-267890-j64x6f5r 178 12 detection detection NN cord-267890-j64x6f5r 178 13 methods method NNS cord-267890-j64x6f5r 178 14 will will MD cord-267890-j64x6f5r 178 15 evolve evolve VB cord-267890-j64x6f5r 178 16 -time -time NN cord-267890-j64x6f5r 178 17 - - HYPH cord-267890-j64x6f5r 178 18 varying varying NN cord-267890-j64x6f5r 178 19 . . . cord-267890-j64x6f5r 179 1 We -PRON- PRP cord-267890-j64x6f5r 179 2 also also RB cord-267890-j64x6f5r 179 3 optimistically optimistically RB cord-267890-j64x6f5r 179 4 assumed assume VBD cord-267890-j64x6f5r 179 5 that that IN cord-267890-j64x6f5r 179 6 the the DT cord-267890-j64x6f5r 179 7 methods method NNS cord-267890-j64x6f5r 179 8 will will MD cord-267890-j64x6f5r 179 9 improve improve VB cord-267890-j64x6f5r 179 10 , , , cord-267890-j64x6f5r 179 11 and and CC cord-267890-j64x6f5r 179 12 thus thus RB cord-267890-j64x6f5r 179 13 we -PRON- PRP cord-267890-j64x6f5r 179 14 described describe VBD cord-267890-j64x6f5r 179 15 them -PRON- PRP cord-267890-j64x6f5r 179 16 as as IN cord-267890-j64x6f5r 179 17 increasing increase VBG cord-267890-j64x6f5r 179 18 functions function NNS cord-267890-j64x6f5r 179 19 of of IN cord-267890-j64x6f5r 179 20 time time NN cord-267890-j64x6f5r 179 21 . . . cord-267890-j64x6f5r 180 1 We -PRON- PRP cord-267890-j64x6f5r 180 2 used use VBD cord-267890-j64x6f5r 180 3 smoothly smoothly RB cord-267890-j64x6f5r 180 4 - - HYPH cord-267890-j64x6f5r 180 5 varying vary VBG cord-267890-j64x6f5r 180 6 forms form NNS cord-267890-j64x6f5r 180 7 , , , cord-267890-j64x6f5r 180 8 the the DT cord-267890-j64x6f5r 180 9 first first JJ cord-267890-j64x6f5r 180 10 linear linear NN cord-267890-j64x6f5r 180 11 and and CC cord-267890-j64x6f5r 180 12 the the DT cord-267890-j64x6f5r 180 13 second second JJ cord-267890-j64x6f5r 180 14 quadratic quadratic NN cord-267890-j64x6f5r 180 15 , , , cord-267890-j64x6f5r 180 16 to to TO cord-267890-j64x6f5r 180 17 preclude preclude VB cord-267890-j64x6f5r 180 18 symmetries symmetry NNS cord-267890-j64x6f5r 180 19 in in IN cord-267890-j64x6f5r 180 20 the the DT cord-267890-j64x6f5r 180 21 model model NN cord-267890-j64x6f5r 180 22 equations equation NNS cord-267890-j64x6f5r 180 23 . . . cord-267890-j64x6f5r 181 1 Meanwhile meanwhile RB cord-267890-j64x6f5r 181 2 , , , cord-267890-j64x6f5r 181 3 we -PRON- PRP cord-267890-j64x6f5r 181 4 took take VBD cord-267890-j64x6f5r 181 5 the the DT cord-267890-j64x6f5r 181 6 detection detection NN cord-267890-j64x6f5r 181 7 probability probability NN cord-267890-j64x6f5r 181 8 for for IN cord-267890-j64x6f5r 181 9 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 181 10 cases case NNS cord-267890-j64x6f5r 181 11 ( ( -LRB- cord-267890-j64x6f5r 181 12 d d XX cord-267890-j64x6f5r 181 13 As as IN cord-267890-j64x6f5r 181 14 ) ) -RRB- cord-267890-j64x6f5r 181 15 to to TO cord-267890-j64x6f5r 181 16 be be VB cord-267890-j64x6f5r 181 17 known know VBN cord-267890-j64x6f5r 181 18 and and CC cord-267890-j64x6f5r 181 19 zero zero CD cord-267890-j64x6f5r 181 20 , , , cord-267890-j64x6f5r 181 21 a a DT cord-267890-j64x6f5r 181 22 reasonable reasonable JJ cord-267890-j64x6f5r 181 23 reflection reflection NN cord-267890-j64x6f5r 181 24 of of IN cord-267890-j64x6f5r 181 25 the the DT cord-267890-j64x6f5r 181 26 current current JJ cord-267890-j64x6f5r 181 27 state state NN cord-267890-j64x6f5r 181 28 of of IN cord-267890-j64x6f5r 181 29 testing testing NN cord-267890-j64x6f5r 181 30 . . . cord-267890-j64x6f5r 182 1 Finally finally RB cord-267890-j64x6f5r 182 2 , , , cord-267890-j64x6f5r 182 3 we -PRON- PRP cord-267890-j64x6f5r 182 4 assigned assign VBD cord-267890-j64x6f5r 182 5 as as IN cord-267890-j64x6f5r 182 6 unknowns unknown NNS cord-267890-j64x6f5r 182 7 the the DT cord-267890-j64x6f5r 182 8 fraction fraction NN cord-267890-j64x6f5r 182 9 of of IN cord-267890-j64x6f5r 182 10 cases case NNS cord-267890-j64x6f5r 182 11 that that WDT cord-267890-j64x6f5r 182 12 become become VBP cord-267890-j64x6f5r 182 13 symptomatic symptomatic JJ cord-267890-j64x6f5r 182 14 ( ( -LRB- cord-267890-j64x6f5r 182 15 f f FW cord-267890-j64x6f5r 182 16 sympt sympt NNP cord-267890-j64x6f5r 182 17 ) ) -RRB- cord-267890-j64x6f5r 182 18 and and CC cord-267890-j64x6f5r 182 19 fraction fraction NN cord-267890-j64x6f5r 182 20 of of IN cord-267890-j64x6f5r 182 21 symptomatic symptomatic JJ cord-267890-j64x6f5r 182 22 cases case NNS cord-267890-j64x6f5r 182 23 that that WDT cord-267890-j64x6f5r 182 24 become become VBP cord-267890-j64x6f5r 182 25 sufficiently sufficiently RB cord-267890-j64x6f5r 182 26 severe severe JJ cord-267890-j64x6f5r 182 27 to to TO cord-267890-j64x6f5r 182 28 require require VB cord-267890-j64x6f5r 182 29 hospitalization hospitalization NN cord-267890-j64x6f5r 182 30 ( ( -LRB- cord-267890-j64x6f5r 182 31 f f NNP cord-267890-j64x6f5r 182 32 severe severe JJ cord-267890-j64x6f5r 182 33 ) ) -RRB- cord-267890-j64x6f5r 182 34 , , , cord-267890-j64x6f5r 182 35 as as IN cord-267890-j64x6f5r 182 36 these these DT cord-267890-j64x6f5r 182 37 fractions fraction NNS cord-267890-j64x6f5r 182 38 possess possess VBP cord-267890-j64x6f5r 182 39 high high JJ cord-267890-j64x6f5r 182 40 uncertainties uncertainty NNS cord-267890-j64x6f5r 183 1 ( ( -LRB- cord-267890-j64x6f5r 183 2 Refs ref NNS cord-267890-j64x6f5r 183 3 [ [ -LRB- cord-267890-j64x6f5r 183 4 40 40 CD cord-267890-j64x6f5r 183 5 ] ] -RRB- cord-267890-j64x6f5r 183 6 and and CC cord-267890-j64x6f5r 183 7 [ [ -LRB- cord-267890-j64x6f5r 183 8 41 41 CD cord-267890-j64x6f5r 183 9 ] ] -RRB- cord-267890-j64x6f5r 183 10 , , , cord-267890-j64x6f5r 183 11 respectively respectively RB cord-267890-j64x6f5r 183 12 ) ) -RRB- cord-267890-j64x6f5r 183 13 . . . cord-267890-j64x6f5r 184 1 As as IN cord-267890-j64x6f5r 184 2 they -PRON- PRP cord-267890-j64x6f5r 184 3 reflect reflect VBP cord-267890-j64x6f5r 184 4 an an DT cord-267890-j64x6f5r 184 5 intrinsic intrinsic JJ cord-267890-j64x6f5r 184 6 property property NN cord-267890-j64x6f5r 184 7 of of IN cord-267890-j64x6f5r 184 8 the the DT cord-267890-j64x6f5r 184 9 disease disease NN cord-267890-j64x6f5r 184 10 , , , cord-267890-j64x6f5r 184 11 we -PRON- PRP cord-267890-j64x6f5r 184 12 took take VBD cord-267890-j64x6f5r 184 13 them -PRON- PRP cord-267890-j64x6f5r 184 14 to to TO cord-267890-j64x6f5r 184 15 be be VB cord-267890-j64x6f5r 184 16 constants constant NNS cord-267890-j64x6f5r 184 17 . . . cord-267890-j64x6f5r 185 1 All all DT cord-267890-j64x6f5r 185 2 other other JJ cord-267890-j64x6f5r 185 3 model model NN cord-267890-j64x6f5r 185 4 parameters parameter NNS cord-267890-j64x6f5r 185 5 were be VBD cord-267890-j64x6f5r 185 6 taken take VBN cord-267890-j64x6f5r 185 7 to to TO cord-267890-j64x6f5r 185 8 be be VB cord-267890-j64x6f5r 185 9 known know VBN cord-267890-j64x6f5r 185 10 and and CC cord-267890-j64x6f5r 185 11 constant constant JJ cord-267890-j64x6f5r 185 12 9 9 CD cord-267890-j64x6f5r 186 1 ( ( -LRB- cord-267890-j64x6f5r 186 2 Appendix Appendix NNP cord-267890-j64x6f5r 186 3 A A NNP cord-267890-j64x6f5r 186 4 ) ) -RRB- cord-267890-j64x6f5r 186 5 . . . cord-267890-j64x6f5r 187 1 The the DT cord-267890-j64x6f5r 187 2 simulated simulated JJ cord-267890-j64x6f5r 187 3 experiments experiment NNS cord-267890-j64x6f5r 187 4 are be VBP cord-267890-j64x6f5r 187 5 summarized summarize VBN cord-267890-j64x6f5r 187 6 in in IN cord-267890-j64x6f5r 187 7 the the DT cord-267890-j64x6f5r 187 8 schematic schematic NN cord-267890-j64x6f5r 187 9 of of IN cord-267890-j64x6f5r 187 10 Figure Figure NNP cord-267890-j64x6f5r 187 11 2 2 CD cord-267890-j64x6f5r 187 12 . . . cord-267890-j64x6f5r 188 1 They -PRON- PRP cord-267890-j64x6f5r 188 2 were be VBD cord-267890-j64x6f5r 188 3 designed design VBN cord-267890-j64x6f5r 188 4 to to TO cord-267890-j64x6f5r 188 5 probe probe VB cord-267890-j64x6f5r 188 6 the the DT cord-267890-j64x6f5r 188 7 effects effect NNS cord-267890-j64x6f5r 188 8 upon upon IN cord-267890-j64x6f5r 188 9 estimations estimation NNS cord-267890-j64x6f5r 188 10 of of IN cord-267890-j64x6f5r 188 11 three three CD cord-267890-j64x6f5r 188 12 considerations consideration NNS cord-267890-j64x6f5r 188 13 : : : cord-267890-j64x6f5r 188 14 a a LS cord-267890-j64x6f5r 188 15 ) ) -RRB- cord-267890-j64x6f5r 188 16 the the DT cord-267890-j64x6f5r 188 17 number number NN cord-267890-j64x6f5r 188 18 of of IN cord-267890-j64x6f5r 188 19 measured measure VBN cord-267890-j64x6f5r 188 20 subpopulations subpopulation NNS cord-267890-j64x6f5r 188 21 , , , cord-267890-j64x6f5r 188 22 b b LS cord-267890-j64x6f5r 188 23 ) ) -RRB- cord-267890-j64x6f5r 188 24 the the DT cord-267890-j64x6f5r 188 25 temporal temporal JJ cord-267890-j64x6f5r 188 26 baseline baseline NN cord-267890-j64x6f5r 188 27 of of IN cord-267890-j64x6f5r 188 28 measurements measurement NNS cord-267890-j64x6f5r 188 29 , , , cord-267890-j64x6f5r 188 30 and and CC cord-267890-j64x6f5r 188 31 c c LS cord-267890-j64x6f5r 188 32 ) ) -RRB- cord-267890-j64x6f5r 188 33 contamination contamination NN cord-267890-j64x6f5r 188 34 of of IN cord-267890-j64x6f5r 188 35 measurements measurement NNS cord-267890-j64x6f5r 188 36 by by IN cord-267890-j64x6f5r 188 37 noise noise NN cord-267890-j64x6f5r 188 38 . . . cord-267890-j64x6f5r 189 1 To to IN cord-267890-j64x6f5r 189 2 this this DT cord-267890-j64x6f5r 189 3 end end NN cord-267890-j64x6f5r 189 4 , , , cord-267890-j64x6f5r 189 5 we -PRON- PRP cord-267890-j64x6f5r 189 6 designed design VBD cord-267890-j64x6f5r 189 7 a a DT cord-267890-j64x6f5r 189 8 " " `` cord-267890-j64x6f5r 189 9 base base NN cord-267890-j64x6f5r 189 10 " " '' cord-267890-j64x6f5r 189 11 experiment experiment NN cord-267890-j64x6f5r 189 12 sufficient sufficient JJ cord-267890-j64x6f5r 189 13 to to TO cord-267890-j64x6f5r 189 14 yield yield VB cord-267890-j64x6f5r 189 15 an an DT cord-267890-j64x6f5r 189 16 excellent excellent JJ cord-267890-j64x6f5r 189 17 solution solution NN cord-267890-j64x6f5r 189 18 , , , cord-267890-j64x6f5r 189 19 and and CC cord-267890-j64x6f5r 189 20 then then RB cord-267890-j64x6f5r 189 21 four four CD cord-267890-j64x6f5r 189 22 variations variation NNS cord-267890-j64x6f5r 189 23 on on IN cord-267890-j64x6f5r 189 24 this this DT cord-267890-j64x6f5r 189 25 experiment experiment NN cord-267890-j64x6f5r 189 26 . . . cord-267890-j64x6f5r 190 1 The the DT cord-267890-j64x6f5r 190 2 base base NN cord-267890-j64x6f5r 190 3 experiment experiment NN cord-267890-j64x6f5r 190 4 ( ( -LRB- cord-267890-j64x6f5r 190 5 i i PRP cord-267890-j64x6f5r 190 6 in in IN cord-267890-j64x6f5r 190 7 Figure Figure NNP cord-267890-j64x6f5r 190 8 2 2 CD cord-267890-j64x6f5r 190 9 ) ) -RRB- cord-267890-j64x6f5r 190 10 possesses possess VBZ cord-267890-j64x6f5r 190 11 the the DT cord-267890-j64x6f5r 190 12 following follow VBG cord-267890-j64x6f5r 190 13 features feature NNS cord-267890-j64x6f5r 190 14 : : : cord-267890-j64x6f5r 190 15 a a LS cord-267890-j64x6f5r 190 16 ) ) -RRB- cord-267890-j64x6f5r 190 17 five five CD cord-267890-j64x6f5r 190 18 measured measure VBN cord-267890-j64x6f5r 190 19 populations population NNS cord-267890-j64x6f5r 190 20 : : : cord-267890-j64x6f5r 190 21 detected detect VBN cord-267890-j64x6f5r 190 22 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 191 1 As as IN cord-267890-j64x6f5r 191 2 det det NNP cord-267890-j64x6f5r 191 3 , , , cord-267890-j64x6f5r 191 4 detected detect VBD cord-267890-j64x6f5r 191 5 mild mild JJ cord-267890-j64x6f5r 191 6 symptomatic symptomatic JJ cord-267890-j64x6f5r 191 7 Sym sym NN cord-267890-j64x6f5r 191 8 det det NN cord-267890-j64x6f5r 191 9 , , , cord-267890-j64x6f5r 191 10 detected detect VBD cord-267890-j64x6f5r 191 11 severe severe JJ cord-267890-j64x6f5r 191 12 symptomatic symptomatic JJ cord-267890-j64x6f5r 191 13 Sys Sys NNP cord-267890-j64x6f5r 191 14 det det NN cord-267890-j64x6f5r 191 15 , , , cord-267890-j64x6f5r 191 16 Recovered recovered JJ cord-267890-j64x6f5r 191 17 R R NNP cord-267890-j64x6f5r 191 18 , , , cord-267890-j64x6f5r 191 19 and and CC cord-267890-j64x6f5r 191 20 Dead Dead NNP cord-267890-j64x6f5r 191 21 D d NN cord-267890-j64x6f5r 191 22 ; ; : cord-267890-j64x6f5r 192 1 b b LS cord-267890-j64x6f5r 192 2 ) ) -RRB- cord-267890-j64x6f5r 192 3 a a DT cord-267890-j64x6f5r 192 4 temporal temporal JJ cord-267890-j64x6f5r 192 5 baseline baseline NN cord-267890-j64x6f5r 192 6 of of IN cord-267890-j64x6f5r 192 7 201 201 CD cord-267890-j64x6f5r 192 8 days day NNS cord-267890-j64x6f5r 192 9 , , , cord-267890-j64x6f5r 192 10 beginning begin VBG cord-267890-j64x6f5r 192 11 on on IN cord-267890-j64x6f5r 192 12 2020 2020 CD cord-267890-j64x6f5r 192 13 February February NNP cord-267890-j64x6f5r 192 14 26 26 CD cord-267890-j64x6f5r 192 15 ; ; : cord-267890-j64x6f5r 192 16 c c LS cord-267890-j64x6f5r 192 17 ) ) -RRB- cord-267890-j64x6f5r 193 1 no no DT cord-267890-j64x6f5r 193 2 noise noise NN cord-267890-j64x6f5r 193 3 in in IN cord-267890-j64x6f5r 193 4 measurements measurement NNS cord-267890-j64x6f5r 193 5 . . . cord-267890-j64x6f5r 194 1 The the DT cord-267890-j64x6f5r 194 2 four four CD cord-267890-j64x6f5r 194 3 variations variation NNS cord-267890-j64x6f5r 194 4 on on IN cord-267890-j64x6f5r 194 5 this this DT cord-267890-j64x6f5r 194 6 basic basic JJ cord-267890-j64x6f5r 194 7 experiment experiment NN cord-267890-j64x6f5r 194 8 ( ( -LRB- cord-267890-j64x6f5r 194 9 ii ii NN cord-267890-j64x6f5r 194 10 through through IN cord-267890-j64x6f5r 194 11 v v NN cord-267890-j64x6f5r 194 12 in in IN cord-267890-j64x6f5r 194 13 Figure figure NN cord-267890-j64x6f5r 194 14 2 2 CD cord-267890-j64x6f5r 194 15 ) ) -RRB- cord-267890-j64x6f5r 194 16 , , , cord-267890-j64x6f5r 194 17 incorporate incorporate VB cord-267890-j64x6f5r 194 18 the the DT cord-267890-j64x6f5r 194 19 following follow VBG cord-267890-j64x6f5r 194 20 independent independent JJ cord-267890-j64x6f5r 194 21 changes change NNS cord-267890-j64x6f5r 194 22 . . . cord-267890-j64x6f5r 195 1 In in IN cord-267890-j64x6f5r 195 2 Experiment Experiment NNP cord-267890-j64x6f5r 195 3 ii ii NNP cord-267890-j64x6f5r 195 4 , , , cord-267890-j64x6f5r 195 5 the the DT cord-267890-j64x6f5r 195 6 R r NN cord-267890-j64x6f5r 195 7 population population NN cord-267890-j64x6f5r 195 8 is be VBZ cord-267890-j64x6f5r 195 9 not not RB cord-267890-j64x6f5r 195 10 measured measure VBN cord-267890-j64x6f5r 195 11 -an -an NNS cord-267890-j64x6f5r 195 12 example example NN cord-267890-j64x6f5r 195 13 designed design VBN cord-267890-j64x6f5r 195 14 to to TO cord-267890-j64x6f5r 195 15 reflect reflect VB cord-267890-j64x6f5r 195 16 the the DT cord-267890-j64x6f5r 195 17 current current JJ cord-267890-j64x6f5r 195 18 situation situation NN cord-267890-j64x6f5r 195 19 in in IN cord-267890-j64x6f5r 195 20 some some DT cord-267890-j64x6f5r 195 21 localities locality NNS cord-267890-j64x6f5r 195 22 ( ( -LRB- cord-267890-j64x6f5r 196 1 e.g. e.g. IN cord-267890-j64x6f5r 196 2 Refs Refs NNPS cord-267890-j64x6f5r 196 3 [ [ -LRB- cord-267890-j64x6f5r 196 4 2 2 CD cord-267890-j64x6f5r 196 5 , , , cord-267890-j64x6f5r 196 6 3 3 CD cord-267890-j64x6f5r 196 7 ] ] -RRB- cord-267890-j64x6f5r 196 8 ) ) -RRB- cord-267890-j64x6f5r 196 9 . . . cord-267890-j64x6f5r 197 1 Experiment experiment NN cord-267890-j64x6f5r 197 2 iii iii NNP cord-267890-j64x6f5r 197 3 reduces reduce VBZ cord-267890-j64x6f5r 197 4 the the DT cord-267890-j64x6f5r 197 5 temporal temporal JJ cord-267890-j64x6f5r 197 6 baseline baseline NN cord-267890-j64x6f5r 197 7 from from IN cord-267890-j64x6f5r 197 8 201 201 CD cord-267890-j64x6f5r 197 9 to to TO cord-267890-j64x6f5r 197 10 112 112 CD cord-267890-j64x6f5r 197 11 days day NNS cord-267890-j64x6f5r 197 12 , , , cord-267890-j64x6f5r 197 13 ending end VBG cord-267890-j64x6f5r 197 14 on on IN cord-267890-j64x6f5r 197 15 2020 2020 CD cord-267890-j64x6f5r 197 16 May May NNP cord-267890-j64x6f5r 197 17 12 12 CD cord-267890-j64x6f5r 197 18 : : : cord-267890-j64x6f5r 197 19 the the DT cord-267890-j64x6f5r 197 20 recent recent JJ cord-267890-j64x6f5r 197 21 past past NN cord-267890-j64x6f5r 197 22 . . . cord-267890-j64x6f5r 198 1 The the DT cord-267890-j64x6f5r 198 2 motivation motivation NN cord-267890-j64x6f5r 198 3 for for IN cord-267890-j64x6f5r 198 4 this this DT cord-267890-j64x6f5r 198 5 design design NN cord-267890-j64x6f5r 198 6 is be VBZ cord-267890-j64x6f5r 198 7 to to TO cord-267890-j64x6f5r 198 8 ascertain ascertain VB cord-267890-j64x6f5r 198 9 whether whether IN cord-267890-j64x6f5r 198 10 -in -in . cord-267890-j64x6f5r 199 1 principle principle NNP cord-267890-j64x6f5r 199 2 -it -it : cord-267890-j64x6f5r 199 3 was be VBD cord-267890-j64x6f5r 199 4 possible possible JJ cord-267890-j64x6f5r 199 5 to to TO cord-267890-j64x6f5r 199 6 attain attain VB cord-267890-j64x6f5r 199 7 an an DT cord-267890-j64x6f5r 199 8 accurate accurate JJ cord-267890-j64x6f5r 199 9 solution solution NN cord-267890-j64x6f5r 199 10 that that WDT cord-267890-j64x6f5r 199 11 early early RB cord-267890-j64x6f5r 199 12 , , , cord-267890-j64x6f5r 199 13 given give VBN cord-267890-j64x6f5r 199 14 perfectly perfectly RB cord-267890-j64x6f5r 199 15 - - HYPH cord-267890-j64x6f5r 199 16 recorded record VBN cord-267890-j64x6f5r 199 17 data datum NNS cord-267890-j64x6f5r 199 18 . . . cord-267890-j64x6f5r 200 1 7 7 CD cord-267890-j64x6f5r 201 1 The the DT cord-267890-j64x6f5r 201 2 reproduction reproduction NN cord-267890-j64x6f5r 201 3 number number NN cord-267890-j64x6f5r 201 4 R r NN cord-267890-j64x6f5r 201 5 0 0 CD cord-267890-j64x6f5r 201 6 , , , cord-267890-j64x6f5r 201 7 in in IN cord-267890-j64x6f5r 201 8 the the DT cord-267890-j64x6f5r 201 9 simplest simple JJS cord-267890-j64x6f5r 201 10 SIR SIR NNP cord-267890-j64x6f5r 201 11 form form NN cord-267890-j64x6f5r 201 12 , , , cord-267890-j64x6f5r 201 13 can can MD cord-267890-j64x6f5r 201 14 be be VB cord-267890-j64x6f5r 201 15 written write VBN cord-267890-j64x6f5r 201 16 as as IN cord-267890-j64x6f5r 201 17 the the DT cord-267890-j64x6f5r 201 18 effective effective JJ cord-267890-j64x6f5r 201 19 contact contact NN cord-267890-j64x6f5r 201 20 rate rate NN cord-267890-j64x6f5r 201 21 divided divide VBN cord-267890-j64x6f5r 201 22 by by IN cord-267890-j64x6f5r 201 23 the the DT cord-267890-j64x6f5r 201 24 recovery recovery NN cord-267890-j64x6f5r 201 25 rate rate NN cord-267890-j64x6f5r 201 26 . . . cord-267890-j64x6f5r 202 1 In in IN cord-267890-j64x6f5r 202 2 practice practice NN cord-267890-j64x6f5r 202 3 , , , cord-267890-j64x6f5r 202 4 R r NN cord-267890-j64x6f5r 202 5 0 0 CD cord-267890-j64x6f5r 202 6 is be VBZ cord-267890-j64x6f5r 202 7 a a DT cord-267890-j64x6f5r 202 8 challenge challenge NN cord-267890-j64x6f5r 202 9 to to TO cord-267890-j64x6f5r 202 10 infer infer VB cord-267890-j64x6f5r 202 11 [ [ -LRB- cord-267890-j64x6f5r 202 12 21 21 CD cord-267890-j64x6f5r 202 13 , , , cord-267890-j64x6f5r 202 14 [ [ -LRB- cord-267890-j64x6f5r 202 15 36 36 CD cord-267890-j64x6f5r 202 16 ] ] -RRB- cord-267890-j64x6f5r 202 17 [ [ -LRB- cord-267890-j64x6f5r 202 18 37 37 CD cord-267890-j64x6f5r 202 19 ] ] -RRB- cord-267890-j64x6f5r 202 20 [ [ -LRB- cord-267890-j64x6f5r 202 21 38 38 CD cord-267890-j64x6f5r 202 22 ] ] -RRB- cord-267890-j64x6f5r 202 23 . . . cord-267890-j64x6f5r 203 1 8 8 CD cord-267890-j64x6f5r 204 1 The the DT cord-267890-j64x6f5r 204 2 full full JJ cord-267890-j64x6f5r 204 3 model model NN cord-267890-j64x6f5r 204 4 permits permit VBZ cord-267890-j64x6f5r 204 5 K k XX cord-267890-j64x6f5r 204 6 i i PRP cord-267890-j64x6f5r 204 7 to to TO cord-267890-j64x6f5r 204 8 vary vary VB cord-267890-j64x6f5r 204 9 as as IN cord-267890-j64x6f5r 204 10 a a DT cord-267890-j64x6f5r 204 11 function function NN cord-267890-j64x6f5r 204 12 of of IN cord-267890-j64x6f5r 204 13 multiple multiple JJ cord-267890-j64x6f5r 204 14 such such JJ cord-267890-j64x6f5r 204 15 rules rule NNS cord-267890-j64x6f5r 204 16 , , , cord-267890-j64x6f5r 204 17 each each DT cord-267890-j64x6f5r 204 18 initiated initiate VBD cord-267890-j64x6f5r 204 19 and and CC cord-267890-j64x6f5r 204 20 rescinded rescind VBD cord-267890-j64x6f5r 204 21 at at IN cord-267890-j64x6f5r 204 22 independent independent JJ cord-267890-j64x6f5r 204 23 times time NNS cord-267890-j64x6f5r 204 24 . . . cord-267890-j64x6f5r 205 1 9 9 CD cord-267890-j64x6f5r 206 1 The the DT cord-267890-j64x6f5r 206 2 values value NNS cord-267890-j64x6f5r 206 3 of of IN cord-267890-j64x6f5r 206 4 other other JJ cord-267890-j64x6f5r 206 5 model model NN cord-267890-j64x6f5r 206 6 parameters parameter NNS cord-267890-j64x6f5r 206 7 also also RB cord-267890-j64x6f5r 206 8 possess possess VBP cord-267890-j64x6f5r 206 9 significant significant JJ cord-267890-j64x6f5r 206 10 uncertainties uncertainty NNS cord-267890-j64x6f5r 206 11 given give VBN cord-267890-j64x6f5r 206 12 the the DT cord-267890-j64x6f5r 206 13 reported report VBN cord-267890-j64x6f5r 206 14 data datum NNS cord-267890-j64x6f5r 206 15 , , , cord-267890-j64x6f5r 206 16 including include VBG cord-267890-j64x6f5r 206 17 , , , cord-267890-j64x6f5r 206 18 for for IN cord-267890-j64x6f5r 206 19 example example NN cord-267890-j64x6f5r 206 20 , , , cord-267890-j64x6f5r 206 21 the the DT cord-267890-j64x6f5r 206 22 fraction fraction NN cord-267890-j64x6f5r 206 23 of of IN cord-267890-j64x6f5r 206 24 those those DT cord-267890-j64x6f5r 206 25 hospitalized hospitalize VBN cord-267890-j64x6f5r 206 26 that that WDT cord-267890-j64x6f5r 206 27 require require VBP cord-267890-j64x6f5r 206 28 ICU ICU NNP cord-267890-j64x6f5r 206 29 care care NN cord-267890-j64x6f5r 206 30 . . . cord-267890-j64x6f5r 207 1 In in IN cord-267890-j64x6f5r 207 2 future future JJ cord-267890-j64x6f5r 207 3 VA VA NNP cord-267890-j64x6f5r 207 4 experiments experiment NNS cord-267890-j64x6f5r 207 5 , , , cord-267890-j64x6f5r 207 6 these these DT cord-267890-j64x6f5r 207 7 quantities quantity NNS cord-267890-j64x6f5r 207 8 will will MD cord-267890-j64x6f5r 207 9 also also RB cord-267890-j64x6f5r 207 10 be be VB cord-267890-j64x6f5r 207 11 treated treat VBN cord-267890-j64x6f5r 207 12 as as IN cord-267890-j64x6f5r 207 13 unknowns unknown NNS cord-267890-j64x6f5r 207 14 . . . cord-267890-j64x6f5r 207 15 . . . cord-267890-j64x6f5r 208 1 CC CC NNP cord-267890-j64x6f5r 208 2 - - HYPH cord-267890-j64x6f5r 208 3 BY BY NNP cord-267890-j64x6f5r 208 4 - - HYPH cord-267890-j64x6f5r 208 5 NC NC NNP cord-267890-j64x6f5r 208 6 - - HYPH cord-267890-j64x6f5r 208 7 ND ND NNP cord-267890-j64x6f5r 208 8 4.0 4.0 CD cord-267890-j64x6f5r 208 9 International international JJ cord-267890-j64x6f5r 208 10 license license NN cord-267890-j64x6f5r 209 1 It -PRON- PRP cord-267890-j64x6f5r 209 2 is be VBZ cord-267890-j64x6f5r 209 3 made make VBN cord-267890-j64x6f5r 209 4 available available JJ cord-267890-j64x6f5r 209 5 under under IN cord-267890-j64x6f5r 209 6 a a DT cord-267890-j64x6f5r 210 1 is be VBZ cord-267890-j64x6f5r 210 2 the the DT cord-267890-j64x6f5r 210 3 author author NN cord-267890-j64x6f5r 210 4 / / SYM cord-267890-j64x6f5r 210 5 funder funder NN cord-267890-j64x6f5r 210 6 , , , cord-267890-j64x6f5r 210 7 who who WP cord-267890-j64x6f5r 210 8 has have VBZ cord-267890-j64x6f5r 210 9 granted grant VBN cord-267890-j64x6f5r 210 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 210 11 a a DT cord-267890-j64x6f5r 210 12 license license NN cord-267890-j64x6f5r 210 13 to to TO cord-267890-j64x6f5r 210 14 display display VB cord-267890-j64x6f5r 210 15 the the DT cord-267890-j64x6f5r 210 16 preprint preprint NN cord-267890-j64x6f5r 210 17 in in IN cord-267890-j64x6f5r 210 18 perpetuity perpetuity NN cord-267890-j64x6f5r 210 19 . . . cord-267890-j64x6f5r 211 1 The the DT cord-267890-j64x6f5r 211 2 copyright copyright NN cord-267890-j64x6f5r 211 3 holder holder NN cord-267890-j64x6f5r 211 4 for for IN cord-267890-j64x6f5r 211 5 this this DT cord-267890-j64x6f5r 211 6 preprint preprint NN cord-267890-j64x6f5r 211 7 this this DT cord-267890-j64x6f5r 211 8 version version NN cord-267890-j64x6f5r 211 9 posted post VBN cord-267890-j64x6f5r 211 10 May May NNP cord-267890-j64x6f5r 211 11 29 29 CD cord-267890-j64x6f5r 211 12 , , , cord-267890-j64x6f5r 211 13 2020 2020 CD cord-267890-j64x6f5r 211 14 . . . cord-267890-j64x6f5r 211 15 . . . cord-267890-j64x6f5r 212 1 Experiment experiment NN cord-267890-j64x6f5r 212 2 iv iv LS cord-267890-j64x6f5r 212 3 includes include VBZ cord-267890-j64x6f5r 212 4 a a DT cord-267890-j64x6f5r 212 5 ∼ ∼ NNP cord-267890-j64x6f5r 212 6 ten ten CD cord-267890-j64x6f5r 212 7 percent percent NN cord-267890-j64x6f5r 212 8 noise noise NN cord-267890-j64x6f5r 212 9 level level NN cord-267890-j64x6f5r 212 10 in in IN cord-267890-j64x6f5r 212 11 the the DT cord-267890-j64x6f5r 212 12 simulated simulated JJ cord-267890-j64x6f5r 212 13 R r NN cord-267890-j64x6f5r 212 14 data data NN cord-267890-j64x6f5r 212 15 , , , cord-267890-j64x6f5r 212 16 and and CC cord-267890-j64x6f5r 212 17 Experiment Experiment NNP cord-267890-j64x6f5r 212 18 v v LS cord-267890-j64x6f5r 212 19 includes include VBZ cord-267890-j64x6f5r 212 20 the the DT cord-267890-j64x6f5r 212 21 same same JJ cord-267890-j64x6f5r 212 22 noise noise NN cord-267890-j64x6f5r 212 23 level level NN cord-267890-j64x6f5r 212 24 in in IN cord-267890-j64x6f5r 212 25 R r NN cord-267890-j64x6f5r 212 26 , , , cord-267890-j64x6f5r 212 27 Sym Sym NNP cord-267890-j64x6f5r 212 28 det det NNP cord-267890-j64x6f5r 212 29 , , , cord-267890-j64x6f5r 212 30 and and CC cord-267890-j64x6f5r 212 31 Sys Sys NNP cord-267890-j64x6f5r 212 32 det det NNP cord-267890-j64x6f5r 212 33 ( ( -LRB- cord-267890-j64x6f5r 212 34 for for IN cord-267890-j64x6f5r 212 35 the the DT cord-267890-j64x6f5r 212 36 form form NN cord-267890-j64x6f5r 212 37 of of IN cord-267890-j64x6f5r 212 38 additive additive NN cord-267890-j64x6f5r 212 39 noise noise NN cord-267890-j64x6f5r 212 40 , , , cord-267890-j64x6f5r 212 41 see see VB cord-267890-j64x6f5r 212 42 Appendix Appendix NNP cord-267890-j64x6f5r 212 43 C C NNP cord-267890-j64x6f5r 212 44 ) ) -RRB- cord-267890-j64x6f5r 212 45 . . . cord-267890-j64x6f5r 213 1 For for IN cord-267890-j64x6f5r 213 2 each each DT cord-267890-j64x6f5r 213 3 experiment experiment NN cord-267890-j64x6f5r 213 4 , , , cord-267890-j64x6f5r 213 5 ten ten CD cord-267890-j64x6f5r 213 6 independent independent JJ cord-267890-j64x6f5r 213 7 calculations calculation NNS cord-267890-j64x6f5r 213 8 were be VBD cord-267890-j64x6f5r 213 9 initiated initiate VBN cord-267890-j64x6f5r 213 10 in in IN cord-267890-j64x6f5r 213 11 parallel parallel JJ cord-267890-j64x6f5r 213 12 searches search NNS cord-267890-j64x6f5r 213 13 , , , cord-267890-j64x6f5r 213 14 each each DT cord-267890-j64x6f5r 213 15 with with IN cord-267890-j64x6f5r 213 16 a a DT cord-267890-j64x6f5r 213 17 randomlygenerated randomlygenerate VBN cord-267890-j64x6f5r 213 18 set set NN cord-267890-j64x6f5r 213 19 of of IN cord-267890-j64x6f5r 213 20 initial initial JJ cord-267890-j64x6f5r 213 21 conditions condition NNS cord-267890-j64x6f5r 213 22 on on IN cord-267890-j64x6f5r 213 23 state state NN cord-267890-j64x6f5r 213 24 variable variable NN cord-267890-j64x6f5r 213 25 and and CC cord-267890-j64x6f5r 213 26 parameter parameter NN cord-267890-j64x6f5r 213 27 values value NNS cord-267890-j64x6f5r 213 28 . . . cord-267890-j64x6f5r 214 1 B. B. NNP cord-267890-j64x6f5r 215 1 An an DT cord-267890-j64x6f5r 215 2 example example NN cord-267890-j64x6f5r 215 3 using use VBG cord-267890-j64x6f5r 215 4 real real JJ cord-267890-j64x6f5r 215 5 data datum NNS cord-267890-j64x6f5r 215 6 : : : cord-267890-j64x6f5r 215 7 Italy Italy NNP cord-267890-j64x6f5r 216 1 We -PRON- PRP cord-267890-j64x6f5r 216 2 tested test VBD cord-267890-j64x6f5r 216 3 the the DT cord-267890-j64x6f5r 216 4 VA VA NNP cord-267890-j64x6f5r 216 5 procedure procedure NN cord-267890-j64x6f5r 216 6 using use VBG cord-267890-j64x6f5r 216 7 real real JJ cord-267890-j64x6f5r 216 8 data datum NNS cord-267890-j64x6f5r 216 9 obtained obtain VBN cord-267890-j64x6f5r 216 10 from from IN cord-267890-j64x6f5r 216 11 the the DT cord-267890-j64x6f5r 216 12 Johns Johns NNP cord-267890-j64x6f5r 216 13 Hopkins Hopkins NNP cord-267890-j64x6f5r 216 14 repository repository NN cord-267890-j64x6f5r 216 15 [ [ -LRB- cord-267890-j64x6f5r 216 16 24 24 CD cord-267890-j64x6f5r 216 17 ] ] -RRB- cord-267890-j64x6f5r 216 18 , , , cord-267890-j64x6f5r 216 19 using use VBG cord-267890-j64x6f5r 216 20 as as IN cord-267890-j64x6f5r 216 21 measurements measurement NNS cord-267890-j64x6f5r 216 22 their -PRON- PRP$ cord-267890-j64x6f5r 216 23 reported report VBN cord-267890-j64x6f5r 216 24 Confirmed confirm VBN cord-267890-j64x6f5r 216 25 cases case NNS cord-267890-j64x6f5r 216 26 C C NNP cord-267890-j64x6f5r 216 27 , , , cord-267890-j64x6f5r 216 28 Recovered recover VBN cord-267890-j64x6f5r 216 29 R R NNP cord-267890-j64x6f5r 216 30 , , , cord-267890-j64x6f5r 216 31 and and CC cord-267890-j64x6f5r 216 32 Dead Dead NNP cord-267890-j64x6f5r 216 33 D D NNP cord-267890-j64x6f5r 216 34 , , , cord-267890-j64x6f5r 216 35 over over IN cord-267890-j64x6f5r 216 36 a a DT cord-267890-j64x6f5r 216 37 112-day 112-day CD cord-267890-j64x6f5r 216 38 period period NN cord-267890-j64x6f5r 216 39 . . . cord-267890-j64x6f5r 217 1 Here here RB cord-267890-j64x6f5r 217 2 , , , cord-267890-j64x6f5r 217 3 C C NNP cord-267890-j64x6f5r 217 4 is be VBZ cord-267890-j64x6f5r 217 5 reported report VBN cord-267890-j64x6f5r 217 6 as as IN cord-267890-j64x6f5r 217 7 a a DT cord-267890-j64x6f5r 217 8 cumulative cumulative JJ cord-267890-j64x6f5r 217 9 measurement measurement NN cord-267890-j64x6f5r 217 10 , , , cord-267890-j64x6f5r 217 11 including include VBG cord-267890-j64x6f5r 217 12 R R NNP cord-267890-j64x6f5r 217 13 and and CC cord-267890-j64x6f5r 217 14 D. D. NNP cord-267890-j64x6f5r 217 15 To to TO cord-267890-j64x6f5r 217 16 formulate formulate VB cord-267890-j64x6f5r 217 17 a a DT cord-267890-j64x6f5r 217 18 correspondence correspondence NN cord-267890-j64x6f5r 217 19 with with IN cord-267890-j64x6f5r 217 20 our -PRON- PRP$ cord-267890-j64x6f5r 217 21 model model NN cord-267890-j64x6f5r 217 22 , , , cord-267890-j64x6f5r 217 23 we -PRON- PRP cord-267890-j64x6f5r 217 24 subtracted subtract VBD cord-267890-j64x6f5r 217 25 from from IN cord-267890-j64x6f5r 217 26 C C NNP cord-267890-j64x6f5r 217 27 the the DT cord-267890-j64x6f5r 217 28 R r NN cord-267890-j64x6f5r 217 29 and and CC cord-267890-j64x6f5r 217 30 D d NN cord-267890-j64x6f5r 217 31 numbers number NNS cord-267890-j64x6f5r 217 32 and and CC cord-267890-j64x6f5r 217 33 divided divide VBD cord-267890-j64x6f5r 217 34 the the DT cord-267890-j64x6f5r 217 35 remainder remainder NN cord-267890-j64x6f5r 217 36 among among IN cord-267890-j64x6f5r 217 37 As as IN cord-267890-j64x6f5r 217 38 det det NNP cord-267890-j64x6f5r 217 39 , , , cord-267890-j64x6f5r 217 40 Sym Sym NNP cord-267890-j64x6f5r 217 41 det det NNP cord-267890-j64x6f5r 217 42 , , , cord-267890-j64x6f5r 217 43 and and CC cord-267890-j64x6f5r 217 44 Sys Sys NNP cord-267890-j64x6f5r 217 45 det det NNP cord-267890-j64x6f5r 217 46 . . . cord-267890-j64x6f5r 218 1 We -PRON- PRP cord-267890-j64x6f5r 218 2 assumed assume VBD cord-267890-j64x6f5r 218 3 that that IN cord-267890-j64x6f5r 218 4 the the DT cord-267890-j64x6f5r 218 5 data data NN cord-267890-j64x6f5r 218 6 accord accord NN cord-267890-j64x6f5r 218 7 with with IN cord-267890-j64x6f5r 218 8 our -PRON- PRP$ cord-267890-j64x6f5r 218 9 model model NN cord-267890-j64x6f5r 218 10 , , , cord-267890-j64x6f5r 218 11 and and CC cord-267890-j64x6f5r 218 12 assigned assign VBD cord-267890-j64x6f5r 218 13 zero zero CD cord-267890-j64x6f5r 218 14 percent percent NN cord-267890-j64x6f5r 218 15 of of IN cord-267890-j64x6f5r 218 16 C C NNP cord-267890-j64x6f5r 218 17 to to IN cord-267890-j64x6f5r 218 18 the the DT cord-267890-j64x6f5r 218 19 As as IN cord-267890-j64x6f5r 218 20 det det NNP cord-267890-j64x6f5r 218 21 population population NN cord-267890-j64x6f5r 218 22 . . . cord-267890-j64x6f5r 219 1 Then then RB cord-267890-j64x6f5r 219 2 , , , cord-267890-j64x6f5r 219 3 absent absent VB cord-267890-j64x6f5r 219 4 any any DT cord-267890-j64x6f5r 219 5 well well RB cord-267890-j64x6f5r 219 6 - - HYPH cord-267890-j64x6f5r 219 7 informed inform VBN cord-267890-j64x6f5r 219 8 guideline guideline NN cord-267890-j64x6f5r 219 9 , , , cord-267890-j64x6f5r 219 10 we -PRON- PRP cord-267890-j64x6f5r 219 11 assigned assign VBD cord-267890-j64x6f5r 219 12 60 60 CD cord-267890-j64x6f5r 219 13 and and CC cord-267890-j64x6f5r 219 14 40 40 CD cord-267890-j64x6f5r 219 15 % % NN cord-267890-j64x6f5r 219 16 of of IN cord-267890-j64x6f5r 219 17 C c NN cord-267890-j64x6f5r 219 18 to to IN cord-267890-j64x6f5r 219 19 Sym Sym NNP cord-267890-j64x6f5r 219 20 det det NNP cord-267890-j64x6f5r 219 21 and and CC cord-267890-j64x6f5r 219 22 Sys Sys NNP cord-267890-j64x6f5r 219 23 det det NNP cord-267890-j64x6f5r 219 24 , , , cord-267890-j64x6f5r 219 25 respectively respectively RB cord-267890-j64x6f5r 219 26 . . . cord-267890-j64x6f5r 220 1 Also also RB cord-267890-j64x6f5r 220 2 in in IN cord-267890-j64x6f5r 220 3 accordance accordance NN cord-267890-j64x6f5r 220 4 with with IN cord-267890-j64x6f5r 220 5 our -PRON- PRP$ cord-267890-j64x6f5r 220 6 model model NN cord-267890-j64x6f5r 220 7 , , , cord-267890-j64x6f5r 220 8 we -PRON- PRP cord-267890-j64x6f5r 220 9 multiplied multiply VBD cord-267890-j64x6f5r 220 10 the the DT cord-267890-j64x6f5r 220 11 reported report VBN cord-267890-j64x6f5r 220 12 value value NN cord-267890-j64x6f5r 220 13 of of IN cord-267890-j64x6f5r 220 14 R r NN cord-267890-j64x6f5r 220 15 by by IN cord-267890-j64x6f5r 220 16 0.9 0.9 CD cord-267890-j64x6f5r 220 17 , , , cord-267890-j64x6f5r 220 18 as as IN cord-267890-j64x6f5r 220 19 the the DT cord-267890-j64x6f5r 220 20 model model NN cord-267890-j64x6f5r 220 21 assumes assume VBZ cord-267890-j64x6f5r 220 22 a a DT cord-267890-j64x6f5r 220 23 10 10 CD cord-267890-j64x6f5r 220 24 % % NN cord-267890-j64x6f5r 220 25 rate rate NN cord-267890-j64x6f5r 220 26 of of IN cord-267890-j64x6f5r 220 27 re re NN cord-267890-j64x6f5r 220 28 - - NN cord-267890-j64x6f5r 220 29 entry entry NN cord-267890-j64x6f5r 220 30 from from IN cord-267890-j64x6f5r 220 31 the the DT cord-267890-j64x6f5r 220 32 R r NN cord-267890-j64x6f5r 220 33 to to IN cord-267890-j64x6f5r 220 34 S s NN cord-267890-j64x6f5r 220 35 populations population NNS cord-267890-j64x6f5r 220 36 . . . cord-267890-j64x6f5r 221 1 Finally finally RB cord-267890-j64x6f5r 221 2 , , , cord-267890-j64x6f5r 221 3 for for IN cord-267890-j64x6f5r 221 4 the the DT cord-267890-j64x6f5r 221 5 real real JJ cord-267890-j64x6f5r 221 6 data datum NNS cord-267890-j64x6f5r 221 7 we -PRON- PRP cord-267890-j64x6f5r 221 8 initialized initialize VBD cord-267890-j64x6f5r 221 9 50 50 CD cord-267890-j64x6f5r 221 10 independent independent JJ cord-267890-j64x6f5r 221 11 calculations calculation NNS cord-267890-j64x6f5r 221 12 in in IN cord-267890-j64x6f5r 221 13 parallel parallel NN cord-267890-j64x6f5r 221 14 ( ( -LRB- cord-267890-j64x6f5r 221 15 rather rather RB cord-267890-j64x6f5r 221 16 than than IN cord-267890-j64x6f5r 221 17 10 10 CD cord-267890-j64x6f5r 221 18 for for IN cord-267890-j64x6f5r 221 19 the the DT cord-267890-j64x6f5r 221 20 simulated simulated JJ cord-267890-j64x6f5r 221 21 experiments experiment NNS cord-267890-j64x6f5r 221 22 ) ) -RRB- cord-267890-j64x6f5r 221 23 . . . cord-267890-j64x6f5r 222 1 For for IN cord-267890-j64x6f5r 222 2 technical technical JJ cord-267890-j64x6f5r 222 3 details detail NNS cord-267890-j64x6f5r 222 4 of of IN cord-267890-j64x6f5r 222 5 all all DT cord-267890-j64x6f5r 222 6 experimental experimental JJ cord-267890-j64x6f5r 222 7 designs design NNS cord-267890-j64x6f5r 222 8 and and CC cord-267890-j64x6f5r 222 9 implementation implementation NN cord-267890-j64x6f5r 222 10 , , , cord-267890-j64x6f5r 222 11 see see VB cord-267890-j64x6f5r 222 12 Appendix Appendix NNP cord-267890-j64x6f5r 222 13 C. C. NNP cord-267890-j64x6f5r 223 1 The the DT cord-267890-j64x6f5r 223 2 salient salient JJ cord-267890-j64x6f5r 223 3 results result NNS cord-267890-j64x6f5r 223 4 for for IN cord-267890-j64x6f5r 223 5 the the DT cord-267890-j64x6f5r 223 6 simulated simulated JJ cord-267890-j64x6f5r 223 7 experiments experiment NNS cord-267890-j64x6f5r 223 8 i i PRP cord-267890-j64x6f5r 223 9 through through IN cord-267890-j64x6f5r 223 10 iv iv CD cord-267890-j64x6f5r 223 11 are be VBP cord-267890-j64x6f5r 223 12 as as IN cord-267890-j64x6f5r 223 13 follows follow VBZ cord-267890-j64x6f5r 223 14 : : : cord-267890-j64x6f5r 224 1 Table table NN cord-267890-j64x6f5r 224 2 2 2 CD cord-267890-j64x6f5r 224 3 . . . cord-267890-j64x6f5r 225 1 The the DT cord-267890-j64x6f5r 225 2 base base NN cord-267890-j64x6f5r 225 3 experiment experiment NN cord-267890-j64x6f5r 225 4 that that WDT cord-267890-j64x6f5r 225 5 employed employ VBD cord-267890-j64x6f5r 225 6 five five CD cord-267890-j64x6f5r 225 7 perfectlymeasured perfectlymeasured JJ cord-267890-j64x6f5r 225 8 populations population NNS cord-267890-j64x6f5r 225 9 over over IN cord-267890-j64x6f5r 225 10 201 201 CD cord-267890-j64x6f5r 225 11 days day NNS cord-267890-j64x6f5r 225 12 10 10 CD cord-267890-j64x6f5r 225 13 yielded yield VBD cord-267890-j64x6f5r 225 14 an an DT cord-267890-j64x6f5r 225 15 excellent excellent JJ cord-267890-j64x6f5r 225 16 solution solution NN cord-267890-j64x6f5r 225 17 in in IN cord-267890-j64x6f5r 225 18 terms term NNS cord-267890-j64x6f5r 225 19 of of IN cord-267890-j64x6f5r 225 20 model model NN cord-267890-j64x6f5r 225 21 evolution evolution NN cord-267890-j64x6f5r 225 22 and and CC cord-267890-j64x6f5r 225 23 parameter parameter NN cord-267890-j64x6f5r 225 24 estimates estimate NNS cord-267890-j64x6f5r 225 25 . . . cord-267890-j64x6f5r 226 1 Prior prior RB cord-267890-j64x6f5r 226 2 to to IN cord-267890-j64x6f5r 226 3 examining examine VBG cord-267890-j64x6f5r 226 4 the the DT cord-267890-j64x6f5r 226 5 solution solution NN cord-267890-j64x6f5r 226 6 , , , cord-267890-j64x6f5r 226 7 we -PRON- PRP cord-267890-j64x6f5r 226 8 first first RB cord-267890-j64x6f5r 226 9 plot plot VBP cord-267890-j64x6f5r 226 10 the the DT cord-267890-j64x6f5r 226 11 cost cost NN cord-267890-j64x6f5r 226 12 function function NN cord-267890-j64x6f5r 226 13 versus versus IN cord-267890-j64x6f5r 226 14 the the DT cord-267890-j64x6f5r 226 15 annealing annealing NN cord-267890-j64x6f5r 226 16 parameter parameter NN cord-267890-j64x6f5r 226 17 β β NN cord-267890-j64x6f5r 226 18 , , , cord-267890-j64x6f5r 226 19 as as IN cord-267890-j64x6f5r 226 20 this this DT cord-267890-j64x6f5r 226 21 distribution distribution NN cord-267890-j64x6f5r 226 22 can can MD cord-267890-j64x6f5r 226 23 serve serve VB cord-267890-j64x6f5r 226 24 as as IN cord-267890-j64x6f5r 226 25 a a DT cord-267890-j64x6f5r 226 26 tool tool NN cord-267890-j64x6f5r 226 27 for for IN cord-267890-j64x6f5r 226 28 assessing assess VBG cord-267890-j64x6f5r 226 29 the the DT cord-267890-j64x6f5r 226 30 significance significance NN cord-267890-j64x6f5r 226 31 of of IN cord-267890-j64x6f5r 226 32 a a DT cord-267890-j64x6f5r 226 33 solution solution NN cord-267890-j64x6f5r 226 34 . . . cord-267890-j64x6f5r 227 1 Figure figure NN cord-267890-j64x6f5r 227 2 3 3 CD cord-267890-j64x6f5r 227 3 shows show VBZ cord-267890-j64x6f5r 227 4 the the DT cord-267890-j64x6f5r 227 5 evolution evolution NN cord-267890-j64x6f5r 227 6 of of IN cord-267890-j64x6f5r 227 7 the the DT cord-267890-j64x6f5r 227 8 cost cost NN cord-267890-j64x6f5r 227 9 throughout throughout IN cord-267890-j64x6f5r 227 10 annealing anneal VBG cord-267890-j64x6f5r 227 11 , , , cord-267890-j64x6f5r 227 12 for for IN cord-267890-j64x6f5r 227 13 the the DT cord-267890-j64x6f5r 227 14 ten ten CD cord-267890-j64x6f5r 227 15 distinct distinct JJ cord-267890-j64x6f5r 227 16 independent independent JJ cord-267890-j64x6f5r 227 17 paths path NNS cord-267890-j64x6f5r 227 18 that that WDT cord-267890-j64x6f5r 227 19 were be VBD cord-267890-j64x6f5r 227 20 initiated initiate VBN cord-267890-j64x6f5r 227 21 ; ; : cord-267890-j64x6f5r 227 22 the the DT cord-267890-j64x6f5r 227 23 x x NN cord-267890-j64x6f5r 227 24 - - HYPH cord-267890-j64x6f5r 227 25 axis axis NN cord-267890-j64x6f5r 227 26 shows show VBZ cord-267890-j64x6f5r 227 27 the the DT cord-267890-j64x6f5r 227 28 value value NN cord-267890-j64x6f5r 227 29 of of IN cord-267890-j64x6f5r 227 30 Annealing anneal VBG cord-267890-j64x6f5r 227 31 10 10 CD cord-267890-j64x6f5r 228 1 The the DT cord-267890-j64x6f5r 228 2 implication implication NN cord-267890-j64x6f5r 228 3 of of IN cord-267890-j64x6f5r 228 4 a a DT cord-267890-j64x6f5r 228 5 201-day 201-day CD cord-267890-j64x6f5r 228 6 requirement requirement NN cord-267890-j64x6f5r 228 7 for for IN cord-267890-j64x6f5r 228 8 accurate accurate JJ cord-267890-j64x6f5r 228 9 estimations estimation NNS cord-267890-j64x6f5r 228 10 would would MD cord-267890-j64x6f5r 228 11 be be VB cord-267890-j64x6f5r 228 12 a a DT cord-267890-j64x6f5r 228 13 bleak bleak JJ cord-267890-j64x6f5r 228 14 outlook outlook NN cord-267890-j64x6f5r 228 15 . . . cord-267890-j64x6f5r 229 1 We -PRON- PRP cord-267890-j64x6f5r 229 2 emphasize emphasize VBP cord-267890-j64x6f5r 229 3 that that IN cord-267890-j64x6f5r 229 4 these these DT cord-267890-j64x6f5r 229 5 experiments experiment NNS cord-267890-j64x6f5r 229 6 are be VBP cord-267890-j64x6f5r 229 7 to to TO cord-267890-j64x6f5r 229 8 be be VB cord-267890-j64x6f5r 229 9 taken take VBN cord-267890-j64x6f5r 229 10 as as IN cord-267890-j64x6f5r 229 11 examples example NNS cord-267890-j64x6f5r 229 12 for for IN cord-267890-j64x6f5r 229 13 how how WRB cord-267890-j64x6f5r 229 14 the the DT cord-267890-j64x6f5r 229 15 technique technique NN cord-267890-j64x6f5r 229 16 can can MD cord-267890-j64x6f5r 229 17 be be VB cord-267890-j64x6f5r 229 18 expanded expand VBN cord-267890-j64x6f5r 229 19 to to IN cord-267890-j64x6f5r 229 20 a a DT cord-267890-j64x6f5r 229 21 host host NN cord-267890-j64x6f5r 229 22 of of IN cord-267890-j64x6f5r 229 23 realistic realistic JJ cord-267890-j64x6f5r 229 24 scenarios scenario NNS cord-267890-j64x6f5r 229 25 . . . cord-267890-j64x6f5r 229 26 . . . cord-267890-j64x6f5r 230 1 CC CC NNP cord-267890-j64x6f5r 230 2 - - HYPH cord-267890-j64x6f5r 230 3 BY BY NNP cord-267890-j64x6f5r 230 4 - - HYPH cord-267890-j64x6f5r 230 5 NC NC NNP cord-267890-j64x6f5r 230 6 - - HYPH cord-267890-j64x6f5r 230 7 ND ND NNP cord-267890-j64x6f5r 230 8 4.0 4.0 CD cord-267890-j64x6f5r 230 9 International international JJ cord-267890-j64x6f5r 230 10 license license NN cord-267890-j64x6f5r 231 1 It -PRON- PRP cord-267890-j64x6f5r 231 2 is be VBZ cord-267890-j64x6f5r 231 3 made make VBN cord-267890-j64x6f5r 231 4 available available JJ cord-267890-j64x6f5r 231 5 under under IN cord-267890-j64x6f5r 231 6 a a DT cord-267890-j64x6f5r 232 1 is be VBZ cord-267890-j64x6f5r 232 2 the the DT cord-267890-j64x6f5r 232 3 author author NN cord-267890-j64x6f5r 232 4 / / SYM cord-267890-j64x6f5r 232 5 funder funder NN cord-267890-j64x6f5r 232 6 , , , cord-267890-j64x6f5r 232 7 who who WP cord-267890-j64x6f5r 232 8 has have VBZ cord-267890-j64x6f5r 232 9 granted grant VBN cord-267890-j64x6f5r 232 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 232 11 a a DT cord-267890-j64x6f5r 232 12 license license NN cord-267890-j64x6f5r 232 13 to to TO cord-267890-j64x6f5r 232 14 display display VB cord-267890-j64x6f5r 232 15 the the DT cord-267890-j64x6f5r 232 16 preprint preprint NN cord-267890-j64x6f5r 232 17 in in IN cord-267890-j64x6f5r 232 18 perpetuity perpetuity NN cord-267890-j64x6f5r 232 19 . . . cord-267890-j64x6f5r 233 1 The the DT cord-267890-j64x6f5r 233 2 copyright copyright NN cord-267890-j64x6f5r 233 3 holder holder NN cord-267890-j64x6f5r 233 4 for for IN cord-267890-j64x6f5r 233 5 this this DT cord-267890-j64x6f5r 233 6 preprint preprint NN cord-267890-j64x6f5r 233 7 this this DT cord-267890-j64x6f5r 233 8 version version NN cord-267890-j64x6f5r 233 9 posted post VBN cord-267890-j64x6f5r 233 10 May May NNP cord-267890-j64x6f5r 233 11 29 29 CD cord-267890-j64x6f5r 233 12 , , , cord-267890-j64x6f5r 233 13 2020 2020 CD cord-267890-j64x6f5r 233 14 . . . cord-267890-j64x6f5r 233 15 . . . cord-267890-j64x6f5r 234 1 Table table NN cord-267890-j64x6f5r 234 2 2 2 CD cord-267890-j64x6f5r 234 3 : : : cord-267890-j64x6f5r 234 4 Estimates estimate NNS cord-267890-j64x6f5r 234 5 of of IN cord-267890-j64x6f5r 234 6 static static JJ cord-267890-j64x6f5r 234 7 parameters parameter NNS cord-267890-j64x6f5r 234 8 f f NNP cord-267890-j64x6f5r 234 9 sympt sympt NN cord-267890-j64x6f5r 234 10 and and CC cord-267890-j64x6f5r 234 11 f f NNP cord-267890-j64x6f5r 234 12 severe severe JJ cord-267890-j64x6f5r 234 13 , , , cord-267890-j64x6f5r 234 14 over over IN cord-267890-j64x6f5r 234 15 the the DT cord-267890-j64x6f5r 234 16 five five CD cord-267890-j64x6f5r 234 17 simulated simulated JJ cord-267890-j64x6f5r 234 18 experiments experiment NNS cord-267890-j64x6f5r 234 19 and and CC cord-267890-j64x6f5r 234 20 the the DT cord-267890-j64x6f5r 234 21 example example NN cord-267890-j64x6f5r 234 22 using use VBG cord-267890-j64x6f5r 234 23 data datum NNS cord-267890-j64x6f5r 234 24 from from IN cord-267890-j64x6f5r 234 25 Italy Italy NNP cord-267890-j64x6f5r 234 26 . . . cord-267890-j64x6f5r 235 1 With with IN cord-267890-j64x6f5r 235 2 two two CD cord-267890-j64x6f5r 235 3 exceptions exception NNS cord-267890-j64x6f5r 235 4 , , , cord-267890-j64x6f5r 235 5 the the DT cord-267890-j64x6f5r 235 6 reported report VBN cord-267890-j64x6f5r 235 7 numbers number NNS cord-267890-j64x6f5r 235 8 are be VBP cord-267890-j64x6f5r 235 9 taken take VBN cord-267890-j64x6f5r 235 10 from from IN cord-267890-j64x6f5r 235 11 the the DT cord-267890-j64x6f5r 235 12 annealing anneal VBG cord-267890-j64x6f5r 235 13 iteration iteration NN cord-267890-j64x6f5r 235 14 with with IN cord-267890-j64x6f5r 235 15 a a DT cord-267890-j64x6f5r 235 16 value value NN cord-267890-j64x6f5r 235 17 of of IN cord-267890-j64x6f5r 235 18 parameter parameter NN cord-267890-j64x6f5r 235 19 β β NN cord-267890-j64x6f5r 235 20 of of IN cord-267890-j64x6f5r 235 21 37 37 CD cord-267890-j64x6f5r 235 22 : : : cord-267890-j64x6f5r 235 23 once once IN cord-267890-j64x6f5r 235 24 the the DT cord-267890-j64x6f5r 235 25 deterministic deterministic JJ cord-267890-j64x6f5r 235 26 limit limit NN cord-267890-j64x6f5r 235 27 has have VBZ cord-267890-j64x6f5r 235 28 been be VBN cord-267890-j64x6f5r 235 29 reached reach VBN cord-267890-j64x6f5r 235 30 ( ( -LRB- cord-267890-j64x6f5r 235 31 see see VB cord-267890-j64x6f5r 235 32 text text NN cord-267890-j64x6f5r 235 33 ) ) -RRB- cord-267890-j64x6f5r 235 34 . . . cord-267890-j64x6f5r 236 1 The the DT cord-267890-j64x6f5r 236 2 first first JJ cord-267890-j64x6f5r 236 3 exception exception NN cord-267890-j64x6f5r 236 4 is be VBZ cord-267890-j64x6f5r 236 5 Experiment Experiment NNP cord-267890-j64x6f5r 236 6 ii ii NNP cord-267890-j64x6f5r 236 7 , , , cord-267890-j64x6f5r 236 8 for for IN cord-267890-j64x6f5r 236 9 which which WDT cord-267890-j64x6f5r 236 10 we -PRON- PRP cord-267890-j64x6f5r 236 11 chose choose VBD cord-267890-j64x6f5r 236 12 the the DT cord-267890-j64x6f5r 236 13 result result NN cord-267890-j64x6f5r 236 14 corresponding correspond VBG cord-267890-j64x6f5r 236 15 to to IN cord-267890-j64x6f5r 236 16 β β NN cord-267890-j64x6f5r 236 17 = = XX cord-267890-j64x6f5r 237 1 8 8 LS cord-267890-j64x6f5r 237 2 : : : cord-267890-j64x6f5r 237 3 before before IN cord-267890-j64x6f5r 237 4 the the DT cord-267890-j64x6f5r 237 5 solution solution NN cord-267890-j64x6f5r 237 6 grows grow VBZ cord-267890-j64x6f5r 237 7 unstable unstable JJ cord-267890-j64x6f5r 237 8 exponentially exponentially RB cord-267890-j64x6f5r 237 9 ( ( -LRB- cord-267890-j64x6f5r 237 10 see see VB cord-267890-j64x6f5r 237 11 Figure figure NN cord-267890-j64x6f5r 237 12 5 5 CD cord-267890-j64x6f5r 237 13 ) ) -RRB- cord-267890-j64x6f5r 237 14 . . . cord-267890-j64x6f5r 238 1 The the DT cord-267890-j64x6f5r 238 2 second second JJ cord-267890-j64x6f5r 238 3 exception exception NN cord-267890-j64x6f5r 238 4 is be VBZ cord-267890-j64x6f5r 238 5 the the DT cord-267890-j64x6f5r 238 6 case case NN cord-267890-j64x6f5r 238 7 for for IN cord-267890-j64x6f5r 238 8 real real JJ cord-267890-j64x6f5r 238 9 data datum NNS cord-267890-j64x6f5r 238 10 , , , cord-267890-j64x6f5r 238 11 where where WRB cord-267890-j64x6f5r 238 12 we -PRON- PRP cord-267890-j64x6f5r 238 13 report report VBP cord-267890-j64x6f5r 238 14 results result NNS cord-267890-j64x6f5r 238 15 at at IN cord-267890-j64x6f5r 238 16 two two CD cord-267890-j64x6f5r 238 17 values value NNS cord-267890-j64x6f5r 238 18 of of IN cord-267890-j64x6f5r 238 19 β β NN cord-267890-j64x6f5r 238 20 to to TO cord-267890-j64x6f5r 238 21 show show VB cord-267890-j64x6f5r 238 22 that that IN cord-267890-j64x6f5r 238 23 the the DT cord-267890-j64x6f5r 238 24 estimates estimate NNS cord-267890-j64x6f5r 238 25 vary vary VBP cord-267890-j64x6f5r 238 26 widely widely RB cord-267890-j64x6f5r 238 27 over over IN cord-267890-j64x6f5r 238 28 the the DT cord-267890-j64x6f5r 238 29 annealing annealing NN cord-267890-j64x6f5r 238 30 process process NN cord-267890-j64x6f5r 238 31 . . . cord-267890-j64x6f5r 239 1 The the DT cord-267890-j64x6f5r 239 2 result result NN cord-267890-j64x6f5r 239 3 Italy Italy NNP cord-267890-j64x6f5r 240 1 I -PRON- PRP cord-267890-j64x6f5r 240 2 corresponds correspond VBZ cord-267890-j64x6f5r 240 3 to to IN cord-267890-j64x6f5r 240 4 β β NN cord-267890-j64x6f5r 240 5 = = SYM cord-267890-j64x6f5r 240 6 20 20 CD cord-267890-j64x6f5r 240 7 , , , cord-267890-j64x6f5r 240 8 prior prior RB cord-267890-j64x6f5r 240 9 to to IN cord-267890-j64x6f5r 240 10 the the DT cord-267890-j64x6f5r 240 11 strong strong JJ cord-267890-j64x6f5r 240 12 imposition imposition NN cord-267890-j64x6f5r 240 13 of of IN cord-267890-j64x6f5r 240 14 model model NN cord-267890-j64x6f5r 240 15 constraints constraint NNS cord-267890-j64x6f5r 240 16 ; ; : cord-267890-j64x6f5r 240 17 Italy Italy NNP cord-267890-j64x6f5r 240 18 I -PRON- PRP cord-267890-j64x6f5r 240 19 I -PRON- PRP cord-267890-j64x6f5r 240 20 corresponds correspond VBZ cord-267890-j64x6f5r 240 21 to to IN cord-267890-j64x6f5r 240 22 β β NN cord-267890-j64x6f5r 240 23 = = SYM cord-267890-j64x6f5r 240 24 37 37 CD cord-267890-j64x6f5r 240 25 , , , cord-267890-j64x6f5r 240 26 once once IN cord-267890-j64x6f5r 240 27 the the DT cord-267890-j64x6f5r 240 28 deterministic deterministic JJ cord-267890-j64x6f5r 240 29 limit limit NN cord-267890-j64x6f5r 240 30 is be VBZ cord-267890-j64x6f5r 240 31 reached reach VBN cord-267890-j64x6f5r 240 32 . . . cord-267890-j64x6f5r 241 1 See see VB cord-267890-j64x6f5r 241 2 specific specific JJ cord-267890-j64x6f5r 241 3 subsections subsection NNS cord-267890-j64x6f5r 241 4 for for IN cord-267890-j64x6f5r 241 5 details detail NNS cord-267890-j64x6f5r 241 6 of of IN cord-267890-j64x6f5r 241 7 each each DT cord-267890-j64x6f5r 241 8 experiment experiment NN cord-267890-j64x6f5r 241 9 . . . cord-267890-j64x6f5r 242 1 At at IN cord-267890-j64x6f5r 242 2 low low JJ cord-267890-j64x6f5r 242 3 β β FW cord-267890-j64x6f5r 242 4 the the DT cord-267890-j64x6f5r 242 5 procedure procedure NN cord-267890-j64x6f5r 242 6 endeavours endeavour NNS cord-267890-j64x6f5r 242 7 to to TO cord-267890-j64x6f5r 242 8 fit fit VB cord-267890-j64x6f5r 242 9 the the DT cord-267890-j64x6f5r 242 10 measured measure VBN cord-267890-j64x6f5r 242 11 variables variable NNS cord-267890-j64x6f5r 242 12 to to IN cord-267890-j64x6f5r 242 13 the the DT cord-267890-j64x6f5r 242 14 simulated simulated JJ cord-267890-j64x6f5r 242 15 measurements measurement NNS cord-267890-j64x6f5r 242 16 . . . cord-267890-j64x6f5r 243 1 As as IN cord-267890-j64x6f5r 243 2 β β NN cord-267890-j64x6f5r 243 3 increases increase VBZ cord-267890-j64x6f5r 243 4 , , , cord-267890-j64x6f5r 243 5 the the DT cord-267890-j64x6f5r 243 6 cost cost NN cord-267890-j64x6f5r 243 7 increases increase NNS cord-267890-j64x6f5r 243 8 until until IN cord-267890-j64x6f5r 243 9 it -PRON- PRP cord-267890-j64x6f5r 243 10 approaches approach VBZ cord-267890-j64x6f5r 243 11 a a DT cord-267890-j64x6f5r 243 12 plateau plateau NN cord-267890-j64x6f5r 243 13 ( ( -LRB- cord-267890-j64x6f5r 243 14 around around IN cord-267890-j64x6f5r 243 15 β β NNP cord-267890-j64x6f5r 243 16 = = SYM cord-267890-j64x6f5r 243 17 25 25 CD cord-267890-j64x6f5r 243 18 ) ) -RRB- cord-267890-j64x6f5r 243 19 , , , cord-267890-j64x6f5r 243 20 indicating indicate VBG cord-267890-j64x6f5r 243 21 that that IN cord-267890-j64x6f5r 243 22 a a DT cord-267890-j64x6f5r 243 23 solution solution NN cord-267890-j64x6f5r 243 24 has have VBZ cord-267890-j64x6f5r 243 25 been be VBN cord-267890-j64x6f5r 243 26 found find VBN cord-267890-j64x6f5r 243 27 that that WDT cord-267890-j64x6f5r 243 28 is be VBZ cord-267890-j64x6f5r 243 29 consistent consistent JJ cord-267890-j64x6f5r 243 30 with with IN cord-267890-j64x6f5r 243 31 both both DT cord-267890-j64x6f5r 243 32 measurements measurement NNS cord-267890-j64x6f5r 243 33 and and CC cord-267890-j64x6f5r 243 34 model model NN cord-267890-j64x6f5r 243 35 . . . cord-267890-j64x6f5r 244 1 Parameter parameter NN cord-267890-j64x6f5r 244 2 β β NN cord-267890-j64x6f5r 244 3 , , , cord-267890-j64x6f5r 244 4 or or CC cord-267890-j64x6f5r 244 5 : : : cord-267890-j64x6f5r 244 6 the the DT cord-267890-j64x6f5r 244 7 increasing increase VBG cord-267890-j64x6f5r 244 8 rigidity rigidity NN cord-267890-j64x6f5r 244 9 of of IN cord-267890-j64x6f5r 244 10 the the DT cord-267890-j64x6f5r 244 11 model model NN cord-267890-j64x6f5r 244 12 constraint constraint NN cord-267890-j64x6f5r 244 13 . . . cord-267890-j64x6f5r 245 1 At at IN cord-267890-j64x6f5r 245 2 the the DT cord-267890-j64x6f5r 245 3 start start NN cord-267890-j64x6f5r 245 4 of of IN cord-267890-j64x6f5r 245 5 iterations iteration NNS cord-267890-j64x6f5r 245 6 , , , cord-267890-j64x6f5r 245 7 the the DT cord-267890-j64x6f5r 245 8 cost cost NN cord-267890-j64x6f5r 245 9 function function NN cord-267890-j64x6f5r 245 10 is be VBZ cord-267890-j64x6f5r 245 11 mainly mainly RB cord-267890-j64x6f5r 245 12 fitting fit VBG cord-267890-j64x6f5r 245 13 the the DT cord-267890-j64x6f5r 245 14 measurements measurement NNS cord-267890-j64x6f5r 245 15 to to IN cord-267890-j64x6f5r 245 16 data datum NNS cord-267890-j64x6f5r 245 17 , , , cord-267890-j64x6f5r 245 18 and and CC cord-267890-j64x6f5r 245 19 its -PRON- PRP$ cord-267890-j64x6f5r 245 20 value value NN cord-267890-j64x6f5r 245 21 begins begin VBZ cord-267890-j64x6f5r 245 22 to to TO cord-267890-j64x6f5r 245 23 climb climb VB cord-267890-j64x6f5r 245 24 as as IN cord-267890-j64x6f5r 245 25 the the DT cord-267890-j64x6f5r 245 26 model model NN cord-267890-j64x6f5r 245 27 penalty penalty NN cord-267890-j64x6f5r 245 28 is be VBZ cord-267890-j64x6f5r 245 29 gradually gradually RB cord-267890-j64x6f5r 245 30 imposed impose VBN cord-267890-j64x6f5r 245 31 . . . cord-267890-j64x6f5r 246 1 If if IN cord-267890-j64x6f5r 246 2 the the DT cord-267890-j64x6f5r 246 3 procedure procedure NN cord-267890-j64x6f5r 246 4 finds find VBZ cord-267890-j64x6f5r 246 5 a a DT cord-267890-j64x6f5r 246 6 solution solution NN cord-267890-j64x6f5r 246 7 that that WDT cord-267890-j64x6f5r 246 8 is be VBZ cord-267890-j64x6f5r 246 9 consistent consistent JJ cord-267890-j64x6f5r 246 10 not not RB cord-267890-j64x6f5r 246 11 only only RB cord-267890-j64x6f5r 246 12 with with IN cord-267890-j64x6f5r 246 13 the the DT cord-267890-j64x6f5r 246 14 measurements measurement NNS cord-267890-j64x6f5r 246 15 , , , cord-267890-j64x6f5r 246 16 but but CC cord-267890-j64x6f5r 246 17 also also RB cord-267890-j64x6f5r 246 18 with with IN cord-267890-j64x6f5r 246 19 the the DT cord-267890-j64x6f5r 246 20 model model NN cord-267890-j64x6f5r 246 21 , , , cord-267890-j64x6f5r 246 22 then then RB cord-267890-j64x6f5r 246 23 the the DT cord-267890-j64x6f5r 246 24 cost cost NN cord-267890-j64x6f5r 246 25 will will MD cord-267890-j64x6f5r 246 26 plateau plateau NN cord-267890-j64x6f5r 246 27 . . . cord-267890-j64x6f5r 247 1 In in IN cord-267890-j64x6f5r 247 2 Figure Figure NNP cord-267890-j64x6f5r 247 3 4 4 CD cord-267890-j64x6f5r 247 4 , , , cord-267890-j64x6f5r 247 5 we -PRON- PRP cord-267890-j64x6f5r 247 6 see see VBP cord-267890-j64x6f5r 247 7 this this DT cord-267890-j64x6f5r 247 8 happen happen VB cord-267890-j64x6f5r 247 9 , , , cord-267890-j64x6f5r 247 10 beginning begin VBG cord-267890-j64x6f5r 247 11 around around IN cord-267890-j64x6f5r 247 12 β β NN cord-267890-j64x6f5r 247 13 = = SYM cord-267890-j64x6f5r 247 14 25 25 CD cord-267890-j64x6f5r 247 15 . . . cord-267890-j64x6f5r 248 1 Once once IN cord-267890-j64x6f5r 248 2 β β NN cord-267890-j64x6f5r 248 3 has have VBZ cord-267890-j64x6f5r 248 4 reached reach VBN cord-267890-j64x6f5r 248 5 30 30 CD cord-267890-j64x6f5r 248 6 , , , cord-267890-j64x6f5r 248 7 the the DT cord-267890-j64x6f5r 248 8 plateau plateau NN cord-267890-j64x6f5r 248 9 is be VBZ cord-267890-j64x6f5r 248 10 established establish VBN cord-267890-j64x6f5r 248 11 , , , cord-267890-j64x6f5r 248 12 with with IN cord-267890-j64x6f5r 248 13 some some DT cord-267890-j64x6f5r 248 14 scatter scatter NN cord-267890-j64x6f5r 248 15 across across IN cord-267890-j64x6f5r 248 16 paths path NNS cord-267890-j64x6f5r 248 17 . . . cord-267890-j64x6f5r 249 1 Unless unless IN cord-267890-j64x6f5r 249 2 noted note VBN cord-267890-j64x6f5r 249 3 , , , cord-267890-j64x6f5r 249 4 the the DT cord-267890-j64x6f5r 249 5 reported report VBN cord-267890-j64x6f5r 249 6 estimates estimate NNS cord-267890-j64x6f5r 249 7 in in IN cord-267890-j64x6f5r 249 8 this this DT cord-267890-j64x6f5r 249 9 Section section NN cord-267890-j64x6f5r 249 10 are be VBP cord-267890-j64x6f5r 249 11 taken take VBN cord-267890-j64x6f5r 249 12 at at IN cord-267890-j64x6f5r 249 13 a a DT cord-267890-j64x6f5r 249 14 value value NN cord-267890-j64x6f5r 249 15 of of IN cord-267890-j64x6f5r 249 16 β β NN cord-267890-j64x6f5r 249 17 of of IN cord-267890-j64x6f5r 249 18 37 37 CD cord-267890-j64x6f5r 249 19 : : : cord-267890-j64x6f5r 249 20 on on IN cord-267890-j64x6f5r 249 21 the the DT cord-267890-j64x6f5r 249 22 plateau plateau NN cord-267890-j64x6f5r 249 23 . . . cord-267890-j64x6f5r 250 1 The the DT cord-267890-j64x6f5r 250 2 significance significance NN cord-267890-j64x6f5r 250 3 of of IN cord-267890-j64x6f5r 250 4 this this DT cord-267890-j64x6f5r 250 5 plateau plateau NN cord-267890-j64x6f5r 250 6 may may MD cord-267890-j64x6f5r 250 7 become become VB cord-267890-j64x6f5r 250 8 clearer clear JJR cord-267890-j64x6f5r 250 9 once once IN cord-267890-j64x6f5r 250 10 we -PRON- PRP cord-267890-j64x6f5r 250 11 examine examine VBP cord-267890-j64x6f5r 250 12 the the DT cord-267890-j64x6f5r 250 13 contrasting contrast VBG cord-267890-j64x6f5r 250 14 case case NN cord-267890-j64x6f5r 250 15 of of IN cord-267890-j64x6f5r 250 16 Experiment Experiment NNP cord-267890-j64x6f5r 250 17 ii ii NNP cord-267890-j64x6f5r 250 18 . . . cord-267890-j64x6f5r 251 1 We -PRON- PRP cord-267890-j64x6f5r 251 2 now now RB cord-267890-j64x6f5r 251 3 examine examine VBP cord-267890-j64x6f5r 251 4 the the DT cord-267890-j64x6f5r 251 5 state state NN cord-267890-j64x6f5r 251 6 and and CC cord-267890-j64x6f5r 251 7 parameter parameter NN cord-267890-j64x6f5r 251 8 estimates estimate NNS cord-267890-j64x6f5r 251 9 for for IN cord-267890-j64x6f5r 251 10 the the DT cord-267890-j64x6f5r 251 11 base base NN cord-267890-j64x6f5r 251 12 experiment experiment NN cord-267890-j64x6f5r 251 13 i i PRP cord-267890-j64x6f5r 251 14 11 11 CD cord-267890-j64x6f5r 251 15 . . . cord-267890-j64x6f5r 252 1 Figure figure NN cord-267890-j64x6f5r 252 2 4 4 CD cord-267890-j64x6f5r 252 3 shows show VBZ cord-267890-j64x6f5r 252 4 an an DT cord-267890-j64x6f5r 252 5 excellent excellent JJ cord-267890-j64x6f5r 252 6 result result NN cord-267890-j64x6f5r 252 7 , , , cord-267890-j64x6f5r 252 8 excepting except VBG cord-267890-j64x6f5r 252 9 K K NNP cord-267890-j64x6f5r 252 10 i i PRP cord-267890-j64x6f5r 252 11 ( ( -LRB- cord-267890-j64x6f5r 252 12 t t NN cord-267890-j64x6f5r 252 13 ) ) -RRB- cord-267890-j64x6f5r 252 14 for for IN cord-267890-j64x6f5r 252 15 times time NNS cord-267890-j64x6f5r 252 16 prior prior RB cord-267890-j64x6f5r 252 17 to to IN cord-267890-j64x6f5r 252 18 its -PRON- PRP$ cord-267890-j64x6f5r 252 19 steep steep JJ cord-267890-j64x6f5r 252 20 decline decline NN cord-267890-j64x6f5r 252 21 . . . cord-267890-j64x6f5r 253 1 We -PRON- PRP cord-267890-j64x6f5r 253 2 note note VBP cord-267890-j64x6f5r 253 3 no no DT cord-267890-j64x6f5r 253 4 improvement improvement NN cord-267890-j64x6f5r 253 5 in in IN cord-267890-j64x6f5r 253 6 this this DT cord-267890-j64x6f5r 253 7 estimate estimate NN cord-267890-j64x6f5r 253 8 for for IN cord-267890-j64x6f5r 253 9 K K NNP cord-267890-j64x6f5r 253 10 i i NNP cord-267890-j64x6f5r 253 11 ( ( -LRB- cord-267890-j64x6f5r 253 12 t t NN cord-267890-j64x6f5r 253 13 ) ) -RRB- cord-267890-j64x6f5r 253 14 , , , cord-267890-j64x6f5r 253 15 following follow VBG cord-267890-j64x6f5r 253 16 a a DT cord-267890-j64x6f5r 253 17 tenfold tenfold JJ cord-267890-j64x6f5r 253 18 increase increase NN cord-267890-j64x6f5r 253 19 in in IN cord-267890-j64x6f5r 253 20 the the DT cord-267890-j64x6f5r 253 21 temporal temporal JJ cord-267890-j64x6f5r 253 22 resolution resolution NN cord-267890-j64x6f5r 253 23 of of IN cord-267890-j64x6f5r 253 24 measurements measurement NNS cord-267890-j64x6f5r 253 25 ( ( -LRB- cord-267890-j64x6f5r 253 26 not not RB cord-267890-j64x6f5r 253 27 shown show VBN cord-267890-j64x6f5r 253 28 ) ) -RRB- cord-267890-j64x6f5r 253 29 . . . cord-267890-j64x6f5r 254 1 The the DT cord-267890-j64x6f5r 254 2 procedure procedure NN cord-267890-j64x6f5r 254 3 does do VBZ cord-267890-j64x6f5r 254 4 appear appear VB cord-267890-j64x6f5r 254 5 to to TO cord-267890-j64x6f5r 254 6 recognize recognize VB cord-267890-j64x6f5r 254 7 that that IN cord-267890-j64x6f5r 254 8 a a DT cord-267890-j64x6f5r 254 9 fast fast JJ cord-267890-j64x6f5r 254 10 transition transition NN cord-267890-j64x6f5r 254 11 in in IN cord-267890-j64x6f5r 254 12 the the DT cord-267890-j64x6f5r 254 13 value value NN cord-267890-j64x6f5r 254 14 of of IN cord-267890-j64x6f5r 254 15 K K NNP cord-267890-j64x6f5r 255 1 i i PRP cord-267890-j64x6f5r 255 2 occurred occur VBD cord-267890-j64x6f5r 255 3 at at IN cord-267890-j64x6f5r 255 4 early early JJ cord-267890-j64x6f5r 255 5 times time NNS cord-267890-j64x6f5r 255 6 , , , cord-267890-j64x6f5r 255 7 and and CC cord-267890-j64x6f5r 255 8 that that IN cord-267890-j64x6f5r 255 9 that that DT cord-267890-j64x6f5r 255 10 value value NN cord-267890-j64x6f5r 255 11 was be VBD cord-267890-j64x6f5r 255 12 previously previously RB cord-267890-j64x6f5r 255 13 higher high JJR cord-267890-j64x6f5r 255 14 . . . cord-267890-j64x6f5r 256 1 It -PRON- PRP cord-267890-j64x6f5r 256 2 will will MD cord-267890-j64x6f5r 256 3 be be VB cord-267890-j64x6f5r 256 4 important important JJ cord-267890-j64x6f5r 256 5 to to TO cord-267890-j64x6f5r 256 6 investigate investigate VB cord-267890-j64x6f5r 256 7 the the DT cord-267890-j64x6f5r 256 8 reason reason NN cord-267890-j64x6f5r 256 9 for for IN cord-267890-j64x6f5r 256 10 this this DT cord-267890-j64x6f5r 256 11 failure failure NN cord-267890-j64x6f5r 256 12 in in IN cord-267890-j64x6f5r 256 13 the the DT cord-267890-j64x6f5r 256 14 estimation estimation NN cord-267890-j64x6f5r 256 15 of of IN cord-267890-j64x6f5r 256 16 K K NNP cord-267890-j64x6f5r 256 17 i i PRP cord-267890-j64x6f5r 256 18 at at IN cord-267890-j64x6f5r 256 19 early early JJ cord-267890-j64x6f5r 256 20 times time NNS cord-267890-j64x6f5r 256 21 , , , cord-267890-j64x6f5r 256 22 to to TO cord-267890-j64x6f5r 256 23 rule rule VB cord-267890-j64x6f5r 256 24 out out RP cord-267890-j64x6f5r 256 25 numerical numerical JJ cord-267890-j64x6f5r 256 26 issues issue NNS cord-267890-j64x6f5r 256 27 involved involve VBN cord-267890-j64x6f5r 256 28 with with IN cord-267890-j64x6f5r 256 29 the the DT cord-267890-j64x6f5r 256 30 quickly quickly RB cord-267890-j64x6f5r 256 31 - - HYPH cord-267890-j64x6f5r 256 32 changing change VBG cord-267890-j64x6f5r 256 33 derivative derivative JJ cord-267890-j64x6f5r 256 34 12 12 CD cord-267890-j64x6f5r 256 35 . . . cord-267890-j64x6f5r 257 1 C. C. NNP cord-267890-j64x6f5r 257 2 Experiment Experiment NNP cord-267890-j64x6f5r 257 3 ii ii NNP cord-267890-j64x6f5r 257 4 : : : cord-267890-j64x6f5r 258 1 no no DT cord-267890-j64x6f5r 258 2 measurement measurement NN cord-267890-j64x6f5r 258 3 of of IN cord-267890-j64x6f5r 258 4 R R NNP cord-267890-j64x6f5r 258 5 Figure Figure NNP cord-267890-j64x6f5r 258 6 5 5 CD cord-267890-j64x6f5r 258 7 shows show VBZ cord-267890-j64x6f5r 258 8 the the DT cord-267890-j64x6f5r 258 9 cost cost NN cord-267890-j64x6f5r 258 10 as as IN cord-267890-j64x6f5r 258 11 a a DT cord-267890-j64x6f5r 258 12 function function NN cord-267890-j64x6f5r 258 13 of of IN cord-267890-j64x6f5r 258 14 annealing anneal VBG cord-267890-j64x6f5r 258 15 for for IN cord-267890-j64x6f5r 258 16 the the DT cord-267890-j64x6f5r 258 17 case case NN cord-267890-j64x6f5r 258 18 with with IN cord-267890-j64x6f5r 258 19 no no DT cord-267890-j64x6f5r 258 20 measurement measurement NN cord-267890-j64x6f5r 258 21 of of IN cord-267890-j64x6f5r 258 22 Recovered Recovered NNP cord-267890-j64x6f5r 258 23 Population Population NNP cord-267890-j64x6f5r 258 24 R. R. NNP cord-267890-j64x6f5r 258 25 Without without IN cord-267890-j64x6f5r 258 26 examining examine VBG cord-267890-j64x6f5r 258 27 the the DT cord-267890-j64x6f5r 258 28 estimates estimate NNS cord-267890-j64x6f5r 258 29 , , , cord-267890-j64x6f5r 258 30 we -PRON- PRP cord-267890-j64x6f5r 258 31 know know VBP cord-267890-j64x6f5r 258 32 from from IN cord-267890-j64x6f5r 258 33 the the DT cord-267890-j64x6f5r 258 34 Cost(β Cost(β NNP cord-267890-j64x6f5r 258 35 ) ) -RRB- cord-267890-j64x6f5r 258 36 plot plot NN cord-267890-j64x6f5r 258 37 that that WDT cord-267890-j64x6f5r 258 38 no no DT cord-267890-j64x6f5r 258 39 solution solution NN cord-267890-j64x6f5r 258 40 has have VBZ cord-267890-j64x6f5r 258 41 been be VBN cord-267890-j64x6f5r 258 42 found find VBN cord-267890-j64x6f5r 258 43 that that WDT cord-267890-j64x6f5r 258 44 is be VBZ cord-267890-j64x6f5r 258 45 consistent consistent JJ cord-267890-j64x6f5r 258 46 with with IN cord-267890-j64x6f5r 258 47 both both DT cord-267890-j64x6f5r 258 48 measurements measurement NNS cord-267890-j64x6f5r 258 49 and and CC cord-267890-j64x6f5r 258 50 model model NN cord-267890-j64x6f5r 259 1 : : : cord-267890-j64x6f5r 259 2 no no DT cord-267890-j64x6f5r 259 3 plateau plateau NN cord-267890-j64x6f5r 259 4 is be VBZ cord-267890-j64x6f5r 259 5 reached reach VBN cord-267890-j64x6f5r 259 6 . . . cord-267890-j64x6f5r 260 1 Rather rather RB cord-267890-j64x6f5r 260 2 , , , cord-267890-j64x6f5r 260 3 as as IN cord-267890-j64x6f5r 260 4 the the DT cord-267890-j64x6f5r 260 5 model model NN cord-267890-j64x6f5r 260 6 constraint constraint NN cord-267890-j64x6f5r 260 7 strengthens strengthen VBZ cord-267890-j64x6f5r 260 8 , , , cord-267890-j64x6f5r 260 9 the the DT cord-267890-j64x6f5r 260 10 cost cost NN cord-267890-j64x6f5r 260 11 increases increase VBZ cord-267890-j64x6f5r 260 12 exponentially exponentially RB cord-267890-j64x6f5r 260 13 . . . cord-267890-j64x6f5r 261 1 Indeed indeed RB cord-267890-j64x6f5r 261 2 , , , cord-267890-j64x6f5r 261 3 Figure figure NN cord-267890-j64x6f5r 261 4 6 6 CD cord-267890-j64x6f5r 261 5 shows show VBZ cord-267890-j64x6f5r 261 6 the the DT cord-267890-j64x6f5r 261 7 estimation estimation NN cord-267890-j64x6f5r 261 8 , , , cord-267890-j64x6f5r 261 9 taken take VBN cord-267890-j64x6f5r 261 10 at at IN cord-267890-j64x6f5r 261 11 β β NN cord-267890-j64x6f5r 261 12 = = SYM cord-267890-j64x6f5r 261 13 8 8 CD cord-267890-j64x6f5r 261 14 , , , cord-267890-j64x6f5r 261 15 prior prior RB cord-267890-j64x6f5r 261 16 to to IN cord-267890-j64x6f5r 261 17 the the DT cord-267890-j64x6f5r 261 18 runaway runaway JJ cord-267890-j64x6f5r 261 19 behavior behavior NN cord-267890-j64x6f5r 261 20 . . . cord-267890-j64x6f5r 262 1 Note note VB cord-267890-j64x6f5r 262 2 the the DT cord-267890-j64x6f5r 262 3 excellent excellent JJ cord-267890-j64x6f5r 262 4 fit fit NN cord-267890-j64x6f5r 262 5 to to IN cord-267890-j64x6f5r 262 6 the the DT cord-267890-j64x6f5r 262 7 measured measure VBN cord-267890-j64x6f5r 262 8 states state NNS cord-267890-j64x6f5r 262 9 and and CC cord-267890-j64x6f5r 262 10 simultaneous simultaneous JJ cord-267890-j64x6f5r 262 11 poor poor JJ cord-267890-j64x6f5r 262 12 fit fit NN cord-267890-j64x6f5r 262 13 to to IN cord-267890-j64x6f5r 262 14 the the DT cord-267890-j64x6f5r 262 15 unmeasured unmeasured JJ cord-267890-j64x6f5r 262 16 states state NNS cord-267890-j64x6f5r 262 17 . . . cord-267890-j64x6f5r 263 1 As as IN cord-267890-j64x6f5r 263 2 no no DT cord-267890-j64x6f5r 263 3 stable stable JJ cord-267890-j64x6f5r 263 4 solution solution NN cord-267890-j64x6f5r 263 5 is be VBZ cord-267890-j64x6f5r 263 6 found find VBN cord-267890-j64x6f5r 263 7 at at IN cord-267890-j64x6f5r 263 8 high high JJ cord-267890-j64x6f5r 263 9 β β NN cord-267890-j64x6f5r 263 10 , , , cord-267890-j64x6f5r 263 11 we -PRON- PRP cord-267890-j64x6f5r 263 12 conclude conclude VBP cord-267890-j64x6f5r 263 13 that that IN cord-267890-j64x6f5r 263 14 there there EX cord-267890-j64x6f5r 263 15 exists exist VBZ cord-267890-j64x6f5r 263 16 insufficient insufficient JJ cord-267890-j64x6f5r 263 17 information information NN cord-267890-j64x6f5r 263 18 in in IN cord-267890-j64x6f5r 264 1 As as IN cord-267890-j64x6f5r 264 2 det det NNP cord-267890-j64x6f5r 264 3 , , , cord-267890-j64x6f5r 264 4 Sym Sym NNP cord-267890-j64x6f5r 264 5 det det NNP cord-267890-j64x6f5r 264 6 , , , cord-267890-j64x6f5r 264 7 Sys Sys NNP cord-267890-j64x6f5r 264 8 det det NNP cord-267890-j64x6f5r 264 9 , , , cord-267890-j64x6f5r 264 10 and and CC cord-267890-j64x6f5r 264 11 D d NN cord-267890-j64x6f5r 264 12 alone alone RB cord-267890-j64x6f5r 264 13 to to TO cord-267890-j64x6f5r 264 14 corral corral VB cord-267890-j64x6f5r 264 15 the the DT cord-267890-j64x6f5r 264 16 procedure procedure NN cord-267890-j64x6f5r 264 17 into into IN cord-267890-j64x6f5r 264 18 a a DT cord-267890-j64x6f5r 264 19 region region NN cord-267890-j64x6f5r 264 20 of of IN cord-267890-j64x6f5r 264 21 state state NN cord-267890-j64x6f5r 264 22 - - HYPH cord-267890-j64x6f5r 264 23 and and CC cord-267890-j64x6f5r 264 24 - - HYPH cord-267890-j64x6f5r 264 25 parameter parameter NN cord-267890-j64x6f5r 264 26 space space NN cord-267890-j64x6f5r 264 27 in in IN cord-267890-j64x6f5r 264 28 which which WDT cord-267890-j64x6f5r 264 29 a a DT cord-267890-j64x6f5r 264 30 model model NN cord-267890-j64x6f5r 264 31 solution solution NN cord-267890-j64x6f5r 264 32 is be VBZ cord-267890-j64x6f5r 264 33 possible possible JJ cord-267890-j64x6f5r 264 34 . . . cord-267890-j64x6f5r 265 1 11 11 CD cord-267890-j64x6f5r 266 1 For for IN cord-267890-j64x6f5r 266 2 all all DT cord-267890-j64x6f5r 266 3 experiments experiment NNS cord-267890-j64x6f5r 266 4 , , , cord-267890-j64x6f5r 266 5 each each DT cord-267890-j64x6f5r 266 6 solution solution NN cord-267890-j64x6f5r 266 7 shown show VBN cord-267890-j64x6f5r 266 8 is be VBZ cord-267890-j64x6f5r 266 9 representative representative NN cord-267890-j64x6f5r 266 10 of of IN cord-267890-j64x6f5r 266 11 the the DT cord-267890-j64x6f5r 266 12 solution solution NN cord-267890-j64x6f5r 266 13 for for IN cord-267890-j64x6f5r 266 14 all all DT cord-267890-j64x6f5r 266 15 ten ten CD cord-267890-j64x6f5r 266 16 paths path NNS cord-267890-j64x6f5r 266 17 12 12 CD cord-267890-j64x6f5r 267 1 As as IN cord-267890-j64x6f5r 267 2 noted note VBN cord-267890-j64x6f5r 267 3 in in IN cord-267890-j64x6f5r 267 4 Experiments experiment NNS cord-267890-j64x6f5r 267 5 , , , cord-267890-j64x6f5r 267 6 we -PRON- PRP cord-267890-j64x6f5r 267 7 chose choose VBD cord-267890-j64x6f5r 267 8 K K NNP cord-267890-j64x6f5r 267 9 i i PRP cord-267890-j64x6f5r 267 10 to to TO cord-267890-j64x6f5r 267 11 reflect reflect VB cord-267890-j64x6f5r 267 12 a a DT cord-267890-j64x6f5r 267 13 rapid rapid JJ cord-267890-j64x6f5r 267 14 adherence adherence NN cord-267890-j64x6f5r 267 15 to to IN cord-267890-j64x6f5r 267 16 social social JJ cord-267890-j64x6f5r 267 17 distancing distancing NN cord-267890-j64x6f5r 267 18 at at IN cord-267890-j64x6f5r 267 19 Day day NN cord-267890-j64x6f5r 267 20 25 25 CD cord-267890-j64x6f5r 267 21 following follow VBG cord-267890-j64x6f5r 267 22 time time NN cord-267890-j64x6f5r 267 23 t t NN cord-267890-j64x6f5r 267 24 0 0 CD cord-267890-j64x6f5r 267 25 , , , cord-267890-j64x6f5r 267 26 which which WDT cord-267890-j64x6f5r 267 27 then then RB cord-267890-j64x6f5r 267 28 remains remain VBZ cord-267890-j64x6f5r 267 29 in in IN cord-267890-j64x6f5r 267 30 place place NN cord-267890-j64x6f5r 267 31 through through IN cord-267890-j64x6f5r 267 32 to to IN cord-267890-j64x6f5r 267 33 Day Day NNP cord-267890-j64x6f5r 267 34 201 201 CD cord-267890-j64x6f5r 267 35 . . . cord-267890-j64x6f5r 268 1 For for IN cord-267890-j64x6f5r 268 2 the the DT cord-267890-j64x6f5r 268 3 form form NN cord-267890-j64x6f5r 268 4 of of IN cord-267890-j64x6f5r 268 5 K K NNP cord-267890-j64x6f5r 268 6 i i NNP cord-267890-j64x6f5r 268 7 , , , cord-267890-j64x6f5r 268 8 see see VB cord-267890-j64x6f5r 268 9 Appendix Appendix NNP cord-267890-j64x6f5r 268 10 B. B. NNP cord-267890-j64x6f5r 268 11 ) ) -RRB- cord-267890-j64x6f5r 268 12 7 7 CD cord-267890-j64x6f5r 268 13 . . . cord-267890-j64x6f5r 269 1 CC CC NNP cord-267890-j64x6f5r 269 2 - - HYPH cord-267890-j64x6f5r 269 3 BY BY NNP cord-267890-j64x6f5r 269 4 - - HYPH cord-267890-j64x6f5r 269 5 NC NC NNP cord-267890-j64x6f5r 269 6 - - HYPH cord-267890-j64x6f5r 269 7 ND ND NNP cord-267890-j64x6f5r 269 8 4.0 4.0 CD cord-267890-j64x6f5r 269 9 International international JJ cord-267890-j64x6f5r 269 10 license license NN cord-267890-j64x6f5r 270 1 It -PRON- PRP cord-267890-j64x6f5r 270 2 is be VBZ cord-267890-j64x6f5r 270 3 made make VBN cord-267890-j64x6f5r 270 4 available available JJ cord-267890-j64x6f5r 270 5 under under IN cord-267890-j64x6f5r 270 6 a a DT cord-267890-j64x6f5r 271 1 is be VBZ cord-267890-j64x6f5r 271 2 the the DT cord-267890-j64x6f5r 271 3 author author NN cord-267890-j64x6f5r 271 4 / / SYM cord-267890-j64x6f5r 271 5 funder funder NN cord-267890-j64x6f5r 271 6 , , , cord-267890-j64x6f5r 271 7 who who WP cord-267890-j64x6f5r 271 8 has have VBZ cord-267890-j64x6f5r 271 9 granted grant VBN cord-267890-j64x6f5r 271 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 271 11 a a DT cord-267890-j64x6f5r 271 12 license license NN cord-267890-j64x6f5r 271 13 to to TO cord-267890-j64x6f5r 271 14 display display VB cord-267890-j64x6f5r 271 15 the the DT cord-267890-j64x6f5r 271 16 preprint preprint NN cord-267890-j64x6f5r 271 17 in in IN cord-267890-j64x6f5r 271 18 perpetuity perpetuity NN cord-267890-j64x6f5r 271 19 . . . cord-267890-j64x6f5r 272 1 The the DT cord-267890-j64x6f5r 272 2 copyright copyright NN cord-267890-j64x6f5r 272 3 holder holder NN cord-267890-j64x6f5r 272 4 for for IN cord-267890-j64x6f5r 272 5 this this DT cord-267890-j64x6f5r 272 6 preprint preprint NN cord-267890-j64x6f5r 272 7 this this DT cord-267890-j64x6f5r 272 8 version version NN cord-267890-j64x6f5r 272 9 posted post VBN cord-267890-j64x6f5r 272 10 May May NNP cord-267890-j64x6f5r 272 11 29 29 CD cord-267890-j64x6f5r 272 12 , , , cord-267890-j64x6f5r 272 13 2020 2020 CD cord-267890-j64x6f5r 272 14 . . . cord-267890-j64x6f5r 272 15 . . . cord-267890-j64x6f5r 273 1 8 8 CD cord-267890-j64x6f5r 273 2 . . . cord-267890-j64x6f5r 274 1 CC CC NNP cord-267890-j64x6f5r 274 2 - - HYPH cord-267890-j64x6f5r 274 3 BY BY NNP cord-267890-j64x6f5r 274 4 - - HYPH cord-267890-j64x6f5r 274 5 NC NC NNP cord-267890-j64x6f5r 274 6 - - HYPH cord-267890-j64x6f5r 274 7 ND ND NNP cord-267890-j64x6f5r 274 8 4.0 4.0 CD cord-267890-j64x6f5r 274 9 International international JJ cord-267890-j64x6f5r 274 10 license license NN cord-267890-j64x6f5r 275 1 It -PRON- PRP cord-267890-j64x6f5r 275 2 is be VBZ cord-267890-j64x6f5r 275 3 made make VBN cord-267890-j64x6f5r 275 4 available available JJ cord-267890-j64x6f5r 275 5 under under IN cord-267890-j64x6f5r 275 6 a a DT cord-267890-j64x6f5r 276 1 is be VBZ cord-267890-j64x6f5r 276 2 the the DT cord-267890-j64x6f5r 276 3 author author NN cord-267890-j64x6f5r 276 4 / / SYM cord-267890-j64x6f5r 276 5 funder funder NN cord-267890-j64x6f5r 276 6 , , , cord-267890-j64x6f5r 276 7 who who WP cord-267890-j64x6f5r 276 8 has have VBZ cord-267890-j64x6f5r 276 9 granted grant VBN cord-267890-j64x6f5r 276 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 276 11 a a DT cord-267890-j64x6f5r 276 12 license license NN cord-267890-j64x6f5r 276 13 to to TO cord-267890-j64x6f5r 276 14 display display VB cord-267890-j64x6f5r 276 15 the the DT cord-267890-j64x6f5r 276 16 preprint preprint NN cord-267890-j64x6f5r 276 17 in in IN cord-267890-j64x6f5r 276 18 perpetuity perpetuity NN cord-267890-j64x6f5r 276 19 . . . cord-267890-j64x6f5r 277 1 The the DT cord-267890-j64x6f5r 277 2 copyright copyright NN cord-267890-j64x6f5r 277 3 holder holder NN cord-267890-j64x6f5r 277 4 for for IN cord-267890-j64x6f5r 277 5 this this DT cord-267890-j64x6f5r 277 6 preprint preprint NN cord-267890-j64x6f5r 277 7 this this DT cord-267890-j64x6f5r 277 8 version version NN cord-267890-j64x6f5r 277 9 posted post VBN cord-267890-j64x6f5r 277 10 May May NNP cord-267890-j64x6f5r 277 11 29 29 CD cord-267890-j64x6f5r 277 12 , , , cord-267890-j64x6f5r 277 13 2020 2020 CD cord-267890-j64x6f5r 277 14 . . . cord-267890-j64x6f5r 277 15 . . . cord-267890-j64x6f5r 278 1 https://doi.org/10.1101/2020.05.27.20112987 https://doi.org/10.1101/2020.05.27.20112987 NNP cord-267890-j64x6f5r 278 2 doi doi NN cord-267890-j64x6f5r 278 3 : : : cord-267890-j64x6f5r 279 1 medRxiv medRxiv NNP cord-267890-j64x6f5r 279 2 preprint preprint NN cord-267890-j64x6f5r 279 3 Figure figure NN cord-267890-j64x6f5r 279 4 5 5 CD cord-267890-j64x6f5r 279 5 : : : cord-267890-j64x6f5r 280 1 Cost cost NN cord-267890-j64x6f5r 280 2 versus versus IN cord-267890-j64x6f5r 280 3 β β NN cord-267890-j64x6f5r 280 4 for for IN cord-267890-j64x6f5r 280 5 Experiment Experiment NNP cord-267890-j64x6f5r 280 6 ii ii NNP cord-267890-j64x6f5r 280 7 : : : cord-267890-j64x6f5r 280 8 R r NN cord-267890-j64x6f5r 280 9 is be VBZ cord-267890-j64x6f5r 280 10 not not RB cord-267890-j64x6f5r 280 11 measured measure VBN cord-267890-j64x6f5r 280 12 . . . cord-267890-j64x6f5r 281 1 As as IN cord-267890-j64x6f5r 281 2 β β NN cord-267890-j64x6f5r 281 3 increases increase VBZ cord-267890-j64x6f5r 281 4 , , , cord-267890-j64x6f5r 281 5 the the DT cord-267890-j64x6f5r 281 6 cost cost NN cord-267890-j64x6f5r 281 7 increases increase NNS cord-267890-j64x6f5r 281 8 indefinitely indefinitely RB cord-267890-j64x6f5r 281 9 , , , cord-267890-j64x6f5r 281 10 indicating indicate VBG cord-267890-j64x6f5r 281 11 that that IN cord-267890-j64x6f5r 281 12 no no DT cord-267890-j64x6f5r 281 13 solution solution NN cord-267890-j64x6f5r 281 14 has have VBZ cord-267890-j64x6f5r 281 15 been be VBN cord-267890-j64x6f5r 281 16 found find VBN cord-267890-j64x6f5r 281 17 that that WDT cord-267890-j64x6f5r 281 18 is be VBZ cord-267890-j64x6f5r 281 19 consistent consistent JJ cord-267890-j64x6f5r 281 20 with with IN cord-267890-j64x6f5r 281 21 both both DT cord-267890-j64x6f5r 281 22 measurements measurement NNS cord-267890-j64x6f5r 281 23 and and CC cord-267890-j64x6f5r 281 24 model model NN cord-267890-j64x6f5r 281 25 dynamics dynamic NNS cord-267890-j64x6f5r 281 26 . . . cord-267890-j64x6f5r 282 1 Figure figure NN cord-267890-j64x6f5r 282 2 7 7 CD cord-267890-j64x6f5r 282 3 shows show NNS cord-267890-j64x6f5r 282 4 estimates estimate NNS cord-267890-j64x6f5r 282 5 that that WDT cord-267890-j64x6f5r 282 6 include include VBP cord-267890-j64x6f5r 282 7 Measurement Measurement NNP cord-267890-j64x6f5r 282 8 R r NN cord-267890-j64x6f5r 282 9 but but CC cord-267890-j64x6f5r 282 10 limit limit VB cord-267890-j64x6f5r 282 11 the the DT cord-267890-j64x6f5r 282 12 temporal temporal JJ cord-267890-j64x6f5r 282 13 baseline baseline NN cord-267890-j64x6f5r 282 14 to to IN cord-267890-j64x6f5r 282 15 the the DT cord-267890-j64x6f5r 282 16 first first JJ cord-267890-j64x6f5r 282 17 112 112 CD cord-267890-j64x6f5r 282 18 days day NNS cord-267890-j64x6f5r 282 19 following follow VBG cord-267890-j64x6f5r 282 20 time time NN cord-267890-j64x6f5r 282 21 t t NN cord-267890-j64x6f5r 282 22 0 0 CD cord-267890-j64x6f5r 282 23 . . . cord-267890-j64x6f5r 283 1 The the DT cord-267890-j64x6f5r 283 2 estimate estimate NN cord-267890-j64x6f5r 283 3 suffers suffer VBZ cord-267890-j64x6f5r 283 4 little little JJ cord-267890-j64x6f5r 283 5 from from IN cord-267890-j64x6f5r 283 6 this this DT cord-267890-j64x6f5r 283 7 reduction reduction NN cord-267890-j64x6f5r 283 8 in in IN cord-267890-j64x6f5r 283 9 the the DT cord-267890-j64x6f5r 283 10 baseline baseline NN cord-267890-j64x6f5r 283 11 of of IN cord-267890-j64x6f5r 283 12 measurements measurement NNS cord-267890-j64x6f5r 283 13 . . . cord-267890-j64x6f5r 284 1 The the DT cord-267890-j64x6f5r 284 2 only only JJ cord-267890-j64x6f5r 284 3 state state NN cord-267890-j64x6f5r 284 4 estimate estimate NN cord-267890-j64x6f5r 284 5 that that WDT cord-267890-j64x6f5r 284 6 is be VBZ cord-267890-j64x6f5r 284 7 significantly significantly RB cord-267890-j64x6f5r 284 8 different different JJ cord-267890-j64x6f5r 284 9 from from IN cord-267890-j64x6f5r 284 10 the the DT cord-267890-j64x6f5r 284 11 result result NN cord-267890-j64x6f5r 284 12 shown show VBN cord-267890-j64x6f5r 284 13 in in IN cord-267890-j64x6f5r 284 14 Figure figure NN cord-267890-j64x6f5r 284 15 4 4 CD cord-267890-j64x6f5r 284 16 is be VBZ cord-267890-j64x6f5r 284 17 S S NNP cord-267890-j64x6f5r 284 18 ( ( -LRB- cord-267890-j64x6f5r 284 19 the the DT cord-267890-j64x6f5r 284 20 others other NNS cord-267890-j64x6f5r 284 21 are be VBP cord-267890-j64x6f5r 284 22 not not RB cord-267890-j64x6f5r 284 23 shown show VBN cord-267890-j64x6f5r 284 24 ) ) -RRB- cord-267890-j64x6f5r 284 25 , , , cord-267890-j64x6f5r 284 26 and and CC cord-267890-j64x6f5r 284 27 the the DT cord-267890-j64x6f5r 284 28 estimate estimate NN cord-267890-j64x6f5r 284 29 of of IN cord-267890-j64x6f5r 284 30 the the DT cord-267890-j64x6f5r 284 31 transmission transmission NN cord-267890-j64x6f5r 284 32 rate rate NN cord-267890-j64x6f5r 284 33 K K NNP cord-267890-j64x6f5r 284 34 i i NN cord-267890-j64x6f5r 284 35 ( ( -LRB- cord-267890-j64x6f5r 284 36 t t NN cord-267890-j64x6f5r 284 37 ) ) -RRB- cord-267890-j64x6f5r 284 38 is be VBZ cord-267890-j64x6f5r 284 39 poor poor JJ cord-267890-j64x6f5r 284 40 at at IN cord-267890-j64x6f5r 284 41 all all DT cord-267890-j64x6f5r 284 42 times time NNS cord-267890-j64x6f5r 284 43 . . . cord-267890-j64x6f5r 285 1 The the DT cord-267890-j64x6f5r 285 2 estimates estimate NNS cord-267890-j64x6f5r 285 3 of of IN cord-267890-j64x6f5r 285 4 the the DT cord-267890-j64x6f5r 285 5 static static JJ cord-267890-j64x6f5r 285 6 parameters parameter NNS cord-267890-j64x6f5r 285 7 and and CC cord-267890-j64x6f5r 285 8 trends trend NNS cord-267890-j64x6f5r 285 9 in in IN cord-267890-j64x6f5r 285 10 the the DT cord-267890-j64x6f5r 285 11 detection detection NN cord-267890-j64x6f5r 285 12 probabilities probability NNS cord-267890-j64x6f5r 285 13 are be VBP cord-267890-j64x6f5r 285 14 still still RB cord-267890-j64x6f5r 285 15 captured capture VBN cord-267890-j64x6f5r 285 16 well well RB cord-267890-j64x6f5r 285 17 . . . cord-267890-j64x6f5r 286 1 With with IN cord-267890-j64x6f5r 286 2 ∼ ∼ NNP cord-267890-j64x6f5r 286 3 10 10 CD cord-267890-j64x6f5r 286 4 % % NN cord-267890-j64x6f5r 286 5 noise noise NN cord-267890-j64x6f5r 286 6 added add VBN cord-267890-j64x6f5r 286 7 to to IN cord-267890-j64x6f5r 286 8 Measurement Measurement NNP cord-267890-j64x6f5r 286 9 R R NNP cord-267890-j64x6f5r 286 10 ( ( -LRB- cord-267890-j64x6f5r 286 11 Experiment Experiment NNP cord-267890-j64x6f5r 286 12 iv iv CD cord-267890-j64x6f5r 286 13 ) ) -RRB- cord-267890-j64x6f5r 286 14 , , , cord-267890-j64x6f5r 286 15 a a DT cord-267890-j64x6f5r 286 16 plateau plateau NN cord-267890-j64x6f5r 286 17 appears appear VBZ cord-267890-j64x6f5r 286 18 on on IN cord-267890-j64x6f5r 286 19 the the DT cord-267890-j64x6f5r 286 20 cost cost NN cord-267890-j64x6f5r 286 21 - - HYPH cord-267890-j64x6f5r 286 22 vs vs IN cord-267890-j64x6f5r 286 23 - - HYPH cord-267890-j64x6f5r 286 24 β β NN cord-267890-j64x6f5r 286 25 plot plot NN cord-267890-j64x6f5r 286 26 ( ( -LRB- cord-267890-j64x6f5r 286 27 Figure Figure NNP cord-267890-j64x6f5r 286 28 8 8 CD cord-267890-j64x6f5r 286 29 ) ) -RRB- cord-267890-j64x6f5r 286 30 , , , cord-267890-j64x6f5r 286 31 indicating indicate VBG cord-267890-j64x6f5r 286 32 that that IN cord-267890-j64x6f5r 286 33 a a DT cord-267890-j64x6f5r 286 34 stable stable JJ cord-267890-j64x6f5r 286 35 minimum minimum NN cord-267890-j64x6f5r 286 36 has have VBZ cord-267890-j64x6f5r 286 37 been be VBN cord-267890-j64x6f5r 286 38 found find VBN cord-267890-j64x6f5r 286 39 . . . cord-267890-j64x6f5r 287 1 Figure figure NN cord-267890-j64x6f5r 287 2 9 9 CD cord-267890-j64x6f5r 287 3 shows show NNS cord-267890-j64x6f5r 287 4 that that IN cord-267890-j64x6f5r 287 5 the the DT cord-267890-j64x6f5r 287 6 noise noise NN cord-267890-j64x6f5r 287 7 propagates propagate VBZ cord-267890-j64x6f5r 287 8 to to IN cord-267890-j64x6f5r 287 9 the the DT cord-267890-j64x6f5r 287 10 unmeasured unmeasured JJ cord-267890-j64x6f5r 287 11 States States NNP cord-267890-j64x6f5r 287 12 S S NNP cord-267890-j64x6f5r 287 13 , , , cord-267890-j64x6f5r 287 14 E E NNP cord-267890-j64x6f5r 287 15 , , , cord-267890-j64x6f5r 288 1 As as IN cord-267890-j64x6f5r 288 2 , , , cord-267890-j64x6f5r 288 3 P p NN cord-267890-j64x6f5r 288 4 , , , cord-267890-j64x6f5r 288 5 and and CC cord-267890-j64x6f5r 288 6 to to IN cord-267890-j64x6f5r 288 7 detection detection NN cord-267890-j64x6f5r 288 8 probability probability NN cord-267890-j64x6f5r 288 9 d d NN cord-267890-j64x6f5r 288 10 sys sys NN cord-267890-j64x6f5r 288 11 . . . cord-267890-j64x6f5r 289 1 The the DT cord-267890-j64x6f5r 289 2 general general JJ cord-267890-j64x6f5r 289 3 evolution evolution NN cord-267890-j64x6f5r 289 4 of of IN cord-267890-j64x6f5r 289 5 the the DT cord-267890-j64x6f5r 289 6 states state NNS cord-267890-j64x6f5r 289 7 and and CC cord-267890-j64x6f5r 289 8 detection detection NN cord-267890-j64x6f5r 289 9 rates rate NNS cord-267890-j64x6f5r 289 10 , , , cord-267890-j64x6f5r 289 11 however however RB cord-267890-j64x6f5r 289 12 , , , cord-267890-j64x6f5r 289 13 is be VBZ cord-267890-j64x6f5r 289 14 still still RB cord-267890-j64x6f5r 289 15 captured capture VBN cord-267890-j64x6f5r 289 16 well well RB cord-267890-j64x6f5r 289 17 , , , cord-267890-j64x6f5r 289 18 with with IN cord-267890-j64x6f5r 289 19 the the DT cord-267890-j64x6f5r 289 20 one one CD cord-267890-j64x6f5r 289 21 exception exception NN cord-267890-j64x6f5r 289 22 of of IN cord-267890-j64x6f5r 289 23 Sym Sym NNP cord-267890-j64x6f5r 289 24 . . . cord-267890-j64x6f5r 290 1 Note note VB cord-267890-j64x6f5r 290 2 that that IN cord-267890-j64x6f5r 290 3 the the DT cord-267890-j64x6f5r 290 4 low low JJ cord-267890-j64x6f5r 290 5 estimate estimate NN cord-267890-j64x6f5r 290 6 for for IN cord-267890-j64x6f5r 290 7 Sym Sym NNP cord-267890-j64x6f5r 290 8 is be VBZ cord-267890-j64x6f5r 290 9 not not RB cord-267890-j64x6f5r 290 10 offset offset VBN cord-267890-j64x6f5r 290 11 by by IN cord-267890-j64x6f5r 290 12 a a DT cord-267890-j64x6f5r 290 13 high high JJ cord-267890-j64x6f5r 290 14 estimate estimate NN cord-267890-j64x6f5r 290 15 for for IN cord-267890-j64x6f5r 290 16 any any DT cord-267890-j64x6f5r 290 17 of of IN cord-267890-j64x6f5r 290 18 the the DT cord-267890-j64x6f5r 290 19 other other JJ cord-267890-j64x6f5r 290 20 state state NN cord-267890-j64x6f5r 290 21 variables variable NNS cord-267890-j64x6f5r 290 22 . . . cord-267890-j64x6f5r 291 1 The the DT cord-267890-j64x6f5r 291 2 addition addition NN cord-267890-j64x6f5r 291 3 of of IN cord-267890-j64x6f5r 291 4 noise noise NN cord-267890-j64x6f5r 291 5 in in IN cord-267890-j64x6f5r 291 6 these these DT cord-267890-j64x6f5r 291 7 numbers number NNS cord-267890-j64x6f5r 291 8 , , , cord-267890-j64x6f5r 291 9 by by IN cord-267890-j64x6f5r 291 10 definition definition NN cord-267890-j64x6f5r 291 11 , , , cord-267890-j64x6f5r 291 12 breaks break VBZ cord-267890-j64x6f5r 291 13 the the DT cord-267890-j64x6f5r 291 14 conservation conservation NN cord-267890-j64x6f5r 291 15 of of IN cord-267890-j64x6f5r 291 16 the the DT cord-267890-j64x6f5r 291 17 population population NN cord-267890-j64x6f5r 291 18 . . . cord-267890-j64x6f5r 292 1 In in IN cord-267890-j64x6f5r 292 2 the the DT cord-267890-j64x6f5r 292 3 future future NN cord-267890-j64x6f5r 292 4 , , , cord-267890-j64x6f5r 292 5 we -PRON- PRP cord-267890-j64x6f5r 292 6 will will MD cord-267890-j64x6f5r 292 7 ameliorate ameliorate VB cord-267890-j64x6f5r 292 8 this this DT cord-267890-j64x6f5r 292 9 problem problem NN cord-267890-j64x6f5r 292 10 by by IN cord-267890-j64x6f5r 292 11 adding add VBG cord-267890-j64x6f5r 292 12 equality equality NN cord-267890-j64x6f5r 292 13 constraints constraint NNS cord-267890-j64x6f5r 292 14 into into IN cord-267890-j64x6f5r 292 15 the the DT cord-267890-j64x6f5r 292 16 cost cost NN cord-267890-j64x6f5r 292 17 function function NN cord-267890-j64x6f5r 292 18 to to TO cord-267890-j64x6f5r 292 19 impose impose VB cord-267890-j64x6f5r 292 20 the the DT cord-267890-j64x6f5r 292 21 conservation conservation NN cord-267890-j64x6f5r 292 22 of of IN cord-267890-j64x6f5r 292 23 N. n. NN cord-267890-j64x6f5r 293 1 With with IN cord-267890-j64x6f5r 293 2 the the DT cord-267890-j64x6f5r 293 3 same same JJ cord-267890-j64x6f5r 293 4 noise noise NN cord-267890-j64x6f5r 293 5 level level NN cord-267890-j64x6f5r 293 6 added add VBN cord-267890-j64x6f5r 293 7 to to IN cord-267890-j64x6f5r 293 8 Measurements measurement NNS cord-267890-j64x6f5r 293 9 Sym Sym NNP cord-267890-j64x6f5r 293 10 det det NN cord-267890-j64x6f5r 293 11 and and CC cord-267890-j64x6f5r 293 12 Sys Sys NNP cord-267890-j64x6f5r 293 13 det det NNP cord-267890-j64x6f5r 293 14 as as RB cord-267890-j64x6f5r 293 15 well well RB cord-267890-j64x6f5r 293 16 ( ( -LRB- cord-267890-j64x6f5r 293 17 Experiment experiment NN cord-267890-j64x6f5r 293 18 v v LS cord-267890-j64x6f5r 293 19 ) ) -RRB- cord-267890-j64x6f5r 293 20 , , , cord-267890-j64x6f5r 293 21 the the DT cord-267890-j64x6f5r 293 22 state state NN cord-267890-j64x6f5r 293 23 estimate estimate NN cord-267890-j64x6f5r 293 24 is be VBZ cord-267890-j64x6f5r 293 25 similar similar JJ cord-267890-j64x6f5r 293 26 to to IN cord-267890-j64x6f5r 293 27 that that DT cord-267890-j64x6f5r 293 28 for for IN cord-267890-j64x6f5r 293 29 Experiment Experiment NNP cord-267890-j64x6f5r 293 30 iv iv CD cord-267890-j64x6f5r 293 31 ( ( -LRB- cord-267890-j64x6f5r 293 32 not not RB cord-267890-j64x6f5r 293 33 shown show VBN cord-267890-j64x6f5r 293 34 ) ) -RRB- cord-267890-j64x6f5r 293 35 . . . cord-267890-j64x6f5r 294 1 Estimates estimate NNS cord-267890-j64x6f5r 294 2 of of IN cord-267890-j64x6f5r 294 3 the the DT cord-267890-j64x6f5r 294 4 detection detection NN cord-267890-j64x6f5r 294 5 probabilities probability NNS cord-267890-j64x6f5r 294 6 are be VBP cord-267890-j64x6f5r 294 7 poorer poor JJR cord-267890-j64x6f5r 294 8 but but CC cord-267890-j64x6f5r 294 9 still still RB cord-267890-j64x6f5r 294 10 trace trace VB cord-267890-j64x6f5r 294 11 the the DT cord-267890-j64x6f5r 294 12 general general JJ cord-267890-j64x6f5r 294 13 trends trend NNS cord-267890-j64x6f5r 294 14 ( ( -LRB- cord-267890-j64x6f5r 294 15 Figure figure NN cord-267890-j64x6f5r 294 16 10 10 CD cord-267890-j64x6f5r 294 17 ) ) -RRB- cord-267890-j64x6f5r 294 18 . . . cord-267890-j64x6f5r 295 1 We -PRON- PRP cord-267890-j64x6f5r 295 2 took take VBD cord-267890-j64x6f5r 295 3 the the DT cord-267890-j64x6f5r 295 4 Confirmed confirm VBN cord-267890-j64x6f5r 295 5 ( ( -LRB- cord-267890-j64x6f5r 295 6 C C NNP cord-267890-j64x6f5r 295 7 ) ) -RRB- cord-267890-j64x6f5r 295 8 , , , cord-267890-j64x6f5r 295 9 Recovered recover VBN cord-267890-j64x6f5r 295 10 , , , cord-267890-j64x6f5r 295 11 and and CC cord-267890-j64x6f5r 295 12 Dead dead JJ cord-267890-j64x6f5r 295 13 cases case NNS cord-267890-j64x6f5r 295 14 in in IN cord-267890-j64x6f5r 295 15 Italy Italy NNP cord-267890-j64x6f5r 295 16 that that WDT cord-267890-j64x6f5r 295 17 are be VBP cord-267890-j64x6f5r 295 18 listed list VBN cord-267890-j64x6f5r 295 19 in in IN cord-267890-j64x6f5r 295 20 the the DT cord-267890-j64x6f5r 295 21 github github NNP cord-267890-j64x6f5r 295 22 repository repository NN cord-267890-j64x6f5r 295 23 of of IN cord-267890-j64x6f5r 295 24 the the DT cord-267890-j64x6f5r 295 25 Johns Johns NNP cord-267890-j64x6f5r 295 26 Hopkins Hopkins NNP cord-267890-j64x6f5r 295 27 project project NN cord-267890-j64x6f5r 295 28 Systems Systems NNPS cord-267890-j64x6f5r 295 29 Science Science NNP cord-267890-j64x6f5r 295 30 and and CC cord-267890-j64x6f5r 295 31 Engineering Engineering NNP cord-267890-j64x6f5r 295 32 [ [ -LRB- cord-267890-j64x6f5r 295 33 24 24 CD cord-267890-j64x6f5r 295 34 ] ] -RRB- cord-267890-j64x6f5r 295 35 . . . cord-267890-j64x6f5r 296 1 These these DT cord-267890-j64x6f5r 296 2 are be VBP cord-267890-j64x6f5r 296 3 cumulative cumulative JJ cord-267890-j64x6f5r 296 4 numbers number NNS cord-267890-j64x6f5r 296 5 ; ; : cord-267890-j64x6f5r 296 6 C C NNP cord-267890-j64x6f5r 296 7 is be VBZ cord-267890-j64x6f5r 296 8 the the DT cord-267890-j64x6f5r 296 9 sum sum NN cord-267890-j64x6f5r 296 10 of of IN cord-267890-j64x6f5r 296 11 R r NN cord-267890-j64x6f5r 296 12 , , , cord-267890-j64x6f5r 296 13 D D NNP cord-267890-j64x6f5r 296 14 , , , cord-267890-j64x6f5r 296 15 and and CC cord-267890-j64x6f5r 296 16 new new JJ cord-267890-j64x6f5r 296 17 cases case NNS cord-267890-j64x6f5r 296 18 . . . cord-267890-j64x6f5r 297 1 The the DT cord-267890-j64x6f5r 297 2 C C NNP cord-267890-j64x6f5r 297 3 were be VBD cord-267890-j64x6f5r 297 4 divided divide VBN cord-267890-j64x6f5r 297 5 among among IN cord-267890-j64x6f5r 297 6 the the DT cord-267890-j64x6f5r 297 7 model model NN cord-267890-j64x6f5r 297 8 variables variable NNS cord-267890-j64x6f5r 297 9 as as IN cord-267890-j64x6f5r 297 10 described describe VBN cord-267890-j64x6f5r 297 11 in in IN cord-267890-j64x6f5r 297 12 Experiments experiment NNS cord-267890-j64x6f5r 297 13 . . . cord-267890-j64x6f5r 298 1 Figures figure NNS cord-267890-j64x6f5r 298 2 11 11 CD cord-267890-j64x6f5r 298 3 and and CC cord-267890-j64x6f5r 298 4 12 12 CD cord-267890-j64x6f5r 298 5 show show VBP cord-267890-j64x6f5r 298 6 the the DT cord-267890-j64x6f5r 298 7 result result NN cord-267890-j64x6f5r 298 8 . . . cord-267890-j64x6f5r 299 1 The the DT cord-267890-j64x6f5r 299 2 cost cost NN cord-267890-j64x6f5r 299 3 - - HYPH cord-267890-j64x6f5r 299 4 vs vs IN cord-267890-j64x6f5r 299 5 - - HYPH cord-267890-j64x6f5r 299 6 β β NN cord-267890-j64x6f5r 299 7 plot plot NN cord-267890-j64x6f5r 299 8 indicates indicate VBZ cord-267890-j64x6f5r 299 9 that that IN cord-267890-j64x6f5r 299 10 a a DT cord-267890-j64x6f5r 299 11 stable stable JJ cord-267890-j64x6f5r 299 12 solution solution NN cord-267890-j64x6f5r 299 13 is be VBZ cord-267890-j64x6f5r 299 14 found find VBN cord-267890-j64x6f5r 299 15 . . . cord-267890-j64x6f5r 300 1 The the DT cord-267890-j64x6f5r 300 2 fits fit NNS cord-267890-j64x6f5r 300 3 to to IN cord-267890-j64x6f5r 300 4 the the DT cord-267890-j64x6f5r 300 5 measured measure VBN cord-267890-j64x6f5r 300 6 states state NNS cord-267890-j64x6f5r 300 7 are be VBP cord-267890-j64x6f5r 300 8 reasonable reasonable JJ cord-267890-j64x6f5r 300 9 . . . cord-267890-j64x6f5r 301 1 The the DT cord-267890-j64x6f5r 301 2 estimates estimate NNS cord-267890-j64x6f5r 301 3 of of IN cord-267890-j64x6f5r 301 4 unmeasured unmeasured JJ cord-267890-j64x6f5r 301 5 states state NNS cord-267890-j64x6f5r 301 6 that that IN cord-267890-j64x6f5r 301 7 impact impact NN cord-267890-j64x6f5r 301 8 hospital hospital NN cord-267890-j64x6f5r 301 9 capacity capacity NN cord-267890-j64x6f5r 301 10 ( ( -LRB- cord-267890-j64x6f5r 301 11 the the DT cord-267890-j64x6f5r 301 12 H H NNP cord-267890-j64x6f5r 301 13 and and CC cord-267890-j64x6f5r 301 14 C C NNP cord-267890-j64x6f5r 301 15 populations population NNS cord-267890-j64x6f5r 301 16 ) ) -RRB- cord-267890-j64x6f5r 301 17 appear appear VBP cord-267890-j64x6f5r 301 18 smooth smooth JJ cord-267890-j64x6f5r 301 19 -and -and CC cord-267890-j64x6f5r 301 20 reasonable reasonable JJ cord-267890-j64x6f5r 301 21 , , , cord-267890-j64x6f5r 301 22 with with IN cord-267890-j64x6f5r 301 23 the the DT cord-267890-j64x6f5r 301 24 exception exception NN cord-267890-j64x6f5r 301 25 of of IN cord-267890-j64x6f5r 301 26 the the DT cord-267890-j64x6f5r 301 27 features feature NNS cord-267890-j64x6f5r 301 28 in in IN cord-267890-j64x6f5r 301 29 C C NNP cord-267890-j64x6f5r 301 30 3,det 3,det CD cord-267890-j64x6f5r 301 31 and and CC cord-267890-j64x6f5r 301 32 H H NNP cord-267890-j64x6f5r 301 33 3,det 3,det CD cord-267890-j64x6f5r 302 1 beginning begin VBG cord-267890-j64x6f5r 302 2 at at IN cord-267890-j64x6f5r 302 3 time time NN cord-267890-j64x6f5r 302 4 t t NN cord-267890-j64x6f5r 302 5 0 0 CD cord-267890-j64x6f5r 302 6 . . . cord-267890-j64x6f5r 303 1 The the DT cord-267890-j64x6f5r 303 2 estimates estimate NNS cord-267890-j64x6f5r 303 3 of of IN cord-267890-j64x6f5r 303 4 S S NNP cord-267890-j64x6f5r 303 5 and and CC cord-267890-j64x6f5r 303 6 E E NNP cord-267890-j64x6f5r 303 7 , , , cord-267890-j64x6f5r 303 8 on on IN cord-267890-j64x6f5r 303 9 the the DT cord-267890-j64x6f5r 303 10 other other JJ cord-267890-j64x6f5r 303 11 hand hand NN cord-267890-j64x6f5r 303 12 , , , cord-267890-j64x6f5r 303 13 are be VBP cord-267890-j64x6f5r 303 14 discontinuous discontinuous JJ cord-267890-j64x6f5r 303 15 . . . cord-267890-j64x6f5r 304 1 This this DT cord-267890-j64x6f5r 304 2 may may MD cord-267890-j64x6f5r 304 3 be be VB cord-267890-j64x6f5r 304 4 due due JJ cord-267890-j64x6f5r 304 5 to to IN cord-267890-j64x6f5r 304 6 the the DT cord-267890-j64x6f5r 304 7 lack lack NN cord-267890-j64x6f5r 304 8 of of IN cord-267890-j64x6f5r 304 9 a a DT cord-267890-j64x6f5r 304 10 smooth smooth JJ cord-267890-j64x6f5r 304 11 solution solution NN cord-267890-j64x6f5r 304 12 for for IN cord-267890-j64x6f5r 304 13 the the DT cord-267890-j64x6f5r 304 14 time time NN cord-267890-j64x6f5r 304 15 - - HYPH cord-267890-j64x6f5r 304 16 varying vary VBG cord-267890-j64x6f5r 304 17 parameters parameter NNS cord-267890-j64x6f5r 304 18 ( ( -LRB- cord-267890-j64x6f5r 304 19 not not RB cord-267890-j64x6f5r 304 20 shown show VBN cord-267890-j64x6f5r 304 21 ) ) -RRB- cord-267890-j64x6f5r 304 22 . . . cord-267890-j64x6f5r 305 1 We -PRON- PRP cord-267890-j64x6f5r 305 2 are be VBP cord-267890-j64x6f5r 305 3 currently currently RB cord-267890-j64x6f5r 305 4 amending amend VBG cord-267890-j64x6f5r 305 5 the the DT cord-267890-j64x6f5r 305 6 procedure procedure NN cord-267890-j64x6f5r 305 7 to to TO cord-267890-j64x6f5r 305 8 handle handle VB cord-267890-j64x6f5r 305 9 data datum NNS cord-267890-j64x6f5r 305 10 that that WDT cord-267890-j64x6f5r 305 11 may may MD cord-267890-j64x6f5r 305 12 include include VB cord-267890-j64x6f5r 305 13 errors error NNS cord-267890-j64x6f5r 305 14 of of IN cord-267890-j64x6f5r 305 15 unknown unknown JJ cord-267890-j64x6f5r 305 16 magnitude magnitude NN cord-267890-j64x6f5r 305 17 . . . cord-267890-j64x6f5r 306 1 We -PRON- PRP cord-267890-j64x6f5r 306 2 have have VBP cord-267890-j64x6f5r 306 3 endeavoured endeavour VBN cord-267890-j64x6f5r 306 4 to to TO cord-267890-j64x6f5r 306 5 illustrate illustrate VB cord-267890-j64x6f5r 306 6 how how WRB cord-267890-j64x6f5r 306 7 SDA SDA NNP cord-267890-j64x6f5r 306 8 can can MD cord-267890-j64x6f5r 306 9 systematically systematically RB cord-267890-j64x6f5r 306 10 identify identify VB cord-267890-j64x6f5r 306 11 the the DT cord-267890-j64x6f5r 306 12 specific specific JJ cord-267890-j64x6f5r 306 13 measurements measurement NNS cord-267890-j64x6f5r 306 14 , , , cord-267890-j64x6f5r 306 15 temporal temporal JJ cord-267890-j64x6f5r 306 16 baseline baseline NN cord-267890-j64x6f5r 306 17 of of IN cord-267890-j64x6f5r 306 18 measurements measurement NNS cord-267890-j64x6f5r 306 19 , , , cord-267890-j64x6f5r 306 20 and and CC cord-267890-j64x6f5r 306 21 degree degree NN cord-267890-j64x6f5r 306 22 of of IN cord-267890-j64x6f5r 306 23 measurement measurement NN cord-267890-j64x6f5r 306 24 accuracy accuracy NN cord-267890-j64x6f5r 306 25 , , , cord-267890-j64x6f5r 306 26 required require VBN cord-267890-j64x6f5r 306 27 to to TO cord-267890-j64x6f5r 306 28 estimate estimate VB cord-267890-j64x6f5r 306 29 unknown unknown JJ cord-267890-j64x6f5r 306 30 model model NN cord-267890-j64x6f5r 306 31 parameters parameter NNS cord-267890-j64x6f5r 306 32 in in IN cord-267890-j64x6f5r 306 33 a a DT cord-267890-j64x6f5r 306 34 high high JJ cord-267890-j64x6f5r 306 35 - - HYPH cord-267890-j64x6f5r 306 36 dimensional dimensional JJ cord-267890-j64x6f5r 306 37 model model NN cord-267890-j64x6f5r 306 38 . . . cord-267890-j64x6f5r 307 1 We -PRON- PRP cord-267890-j64x6f5r 307 2 have have VBP cord-267890-j64x6f5r 307 3 used use VBN cord-267890-j64x6f5r 307 4 as as IN cord-267890-j64x6f5r 307 5 our -PRON- PRP$ cord-267890-j64x6f5r 307 6 dynamical dynamical JJ cord-267890-j64x6f5r 307 7 system system NN cord-267890-j64x6f5r 307 8 an an DT cord-267890-j64x6f5r 307 9 epidemiological epidemiological JJ cord-267890-j64x6f5r 307 10 model model NN cord-267890-j64x6f5r 307 11 designed design VBN cord-267890-j64x6f5r 307 12 to to TO cord-267890-j64x6f5r 307 13 examine examine VB cord-267890-j64x6f5r 307 14 the the DT cord-267890-j64x6f5r 307 15 complex complex JJ cord-267890-j64x6f5r 307 16 problems problem NNS cord-267890-j64x6f5r 307 17 that that WDT cord-267890-j64x6f5r 307 18 COVID-19 covid-19 VBP cord-267890-j64x6f5r 307 19 presents present VBZ cord-267890-j64x6f5r 307 20 to to IN cord-267890-j64x6f5r 307 21 hospitals hospital NNS cord-267890-j64x6f5r 307 22 . . . cord-267890-j64x6f5r 308 1 In in IN cord-267890-j64x6f5r 308 2 doing do VBG cord-267890-j64x6f5r 308 3 so so RB cord-267890-j64x6f5r 308 4 , , , cord-267890-j64x6f5r 308 5 we -PRON- PRP cord-267890-j64x6f5r 308 6 have have VBP cord-267890-j64x6f5r 308 7 assumed assume VBN cord-267890-j64x6f5r 308 8 knowledge knowledge NN cord-267890-j64x6f5r 308 9 of of IN cord-267890-j64x6f5r 308 10 some some DT cord-267890-j64x6f5r 308 11 model model NN cord-267890-j64x6f5r 308 12 parameters parameter NNS cord-267890-j64x6f5r 308 13 . . . cord-267890-j64x6f5r 309 1 In in IN cord-267890-j64x6f5r 309 2 light light NN cord-267890-j64x6f5r 309 3 of of IN cord-267890-j64x6f5r 309 4 these these DT cord-267890-j64x6f5r 309 5 assumptions assumption NNS cord-267890-j64x6f5r 309 6 , , , cord-267890-j64x6f5r 309 7 we -PRON- PRP cord-267890-j64x6f5r 309 8 restrict restrict VBP cord-267890-j64x6f5r 309 9 our -PRON- PRP$ cord-267890-j64x6f5r 309 10 conclusions conclusion NNS cord-267890-j64x6f5r 309 11 to to IN cord-267890-j64x6f5r 309 12 general general JJ cord-267890-j64x6f5r 309 13 comments comment NNS cord-267890-j64x6f5r 309 14 . . . cord-267890-j64x6f5r 310 1 We -PRON- PRP cord-267890-j64x6f5r 310 2 emphasize emphasize VBP cord-267890-j64x6f5r 310 3 that that DT cord-267890-j64x6f5r 310 4 estimation estimation NN cord-267890-j64x6f5r 310 5 of of IN cord-267890-j64x6f5r 310 6 the the DT cord-267890-j64x6f5r 310 7 full full JJ cord-267890-j64x6f5r 310 8 model model NN cord-267890-j64x6f5r 310 9 state state NN cord-267890-j64x6f5r 310 10 requires require VBZ cord-267890-j64x6f5r 310 11 measurements measurement NNS cord-267890-j64x6f5r 310 12 of of IN cord-267890-j64x6f5r 310 13 the the DT cord-267890-j64x6f5r 310 14 detected detect VBN cord-267890-j64x6f5r 310 15 cases case NNS cord-267890-j64x6f5r 310 16 but but CC cord-267890-j64x6f5r 310 17 not not RB cord-267890-j64x6f5r 310 18 the the DT cord-267890-j64x6f5r 310 19 undetected undetected JJ cord-267890-j64x6f5r 310 20 , , , cord-267890-j64x6f5r 310 21 provided provide VBN cord-267890-j64x6f5r 310 22 that that IN cord-267890-j64x6f5r 310 23 the the DT cord-267890-j64x6f5r 310 24 recovered recover VBN cord-267890-j64x6f5r 310 25 and and CC cord-267890-j64x6f5r 310 26 dead dead JJ cord-267890-j64x6f5r 310 27 are be VBP cord-267890-j64x6f5r 310 28 also also RB cord-267890-j64x6f5r 310 29 measured measure VBN cord-267890-j64x6f5r 310 30 . . . cord-267890-j64x6f5r 311 1 The the DT cord-267890-j64x6f5r 311 2 model model NN cord-267890-j64x6f5r 311 3 is be VBZ cord-267890-j64x6f5r 311 4 tolerant tolerant JJ cord-267890-j64x6f5r 311 5 to to IN cord-267890-j64x6f5r 311 6 low low JJ cord-267890-j64x6f5r 311 7 noise noise NN cord-267890-j64x6f5r 311 8 in in IN cord-267890-j64x6f5r 311 9 these these DT cord-267890-j64x6f5r 311 10 measurements measurement NNS cord-267890-j64x6f5r 311 11 , , , cord-267890-j64x6f5r 311 12 excepting except VBG cord-267890-j64x6f5r 311 13 the the DT cord-267890-j64x6f5r 311 14 transmission transmission NN cord-267890-j64x6f5r 311 15 rate rate NN cord-267890-j64x6f5r 311 16 K K NNP cord-267890-j64x6f5r 311 17 i i PRP cord-267890-j64x6f5r 311 18 . . . cord-267890-j64x6f5r 312 1 The the DT cord-267890-j64x6f5r 312 2 SDA SDA NNP cord-267890-j64x6f5r 312 3 technique technique NN cord-267890-j64x6f5r 312 4 can can MD cord-267890-j64x6f5r 312 5 be be VB cord-267890-j64x6f5r 312 6 expanded expand VBN cord-267890-j64x6f5r 312 7 in in IN cord-267890-j64x6f5r 312 8 many many JJ cord-267890-j64x6f5r 312 9 directions direction NNS cord-267890-j64x6f5r 312 10 . . . cord-267890-j64x6f5r 313 1 Examples example NNS cord-267890-j64x6f5r 313 2 include include VBP cord-267890-j64x6f5r 313 3 : : : cord-267890-j64x6f5r 313 4 1 1 LS cord-267890-j64x6f5r 313 5 ) ) -RRB- cord-267890-j64x6f5r 313 6 defining define VBG cord-267890-j64x6f5r 313 7 additional additional JJ cord-267890-j64x6f5r 313 8 model model NN cord-267890-j64x6f5r 313 9 parameters parameter NNS cord-267890-j64x6f5r 313 10 as as IN cord-267890-j64x6f5r 313 11 unknowns unknown NNS cord-267890-j64x6f5r 313 12 to to TO cord-267890-j64x6f5r 313 13 be be VB cord-267890-j64x6f5r 313 14 estimated estimate VBN cord-267890-j64x6f5r 313 15 , , , cord-267890-j64x6f5r 313 16 including include VBG cord-267890-j64x6f5r 313 17 the the DT cord-267890-j64x6f5r 313 18 fraction fraction NN cord-267890-j64x6f5r 313 19 of of IN cord-267890-j64x6f5r 313 20 patients patient NNS cord-267890-j64x6f5r 313 21 hospitalized hospitalize VBN cord-267890-j64x6f5r 313 22 , , , cord-267890-j64x6f5r 313 23 the the DT cord-267890-j64x6f5r 313 24 fraction fraction NN cord-267890-j64x6f5r 313 25 who who WP cord-267890-j64x6f5r 313 26 enter enter VBP cord-267890-j64x6f5r 313 27 critical critical JJ cord-267890-j64x6f5r 313 28 care care NN cord-267890-j64x6f5r 313 29 , , , cord-267890-j64x6f5r 313 30 and and CC cord-267890-j64x6f5r 313 31 the the DT cord-267890-j64x6f5r 313 32 various various JJ cord-267890-j64x6f5r 313 33 timescales timescale NNS cord-267890-j64x6f5r 313 34 governing govern VBG cord-267890-j64x6f5r 313 35 the the DT cord-267890-j64x6f5r 313 36 reaction reaction NN cord-267890-j64x6f5r 313 37 equations equation NNS cord-267890-j64x6f5r 313 38 ; ; : cord-267890-j64x6f5r 313 39 2 2 LS cord-267890-j64x6f5r 313 40 ) ) -RRB- cord-267890-j64x6f5r 313 41 imposing impose VBG cord-267890-j64x6f5r 313 42 various various JJ cord-267890-j64x6f5r 313 43 constraints constraint NNS cord-267890-j64x6f5r 313 44 regarding regard VBG cord-267890-j64x6f5r 313 45 the the DT cord-267890-j64x6f5r 313 46 unknown unknown JJ cord-267890-j64x6f5r 313 47 time time NN cord-267890-j64x6f5r 313 48 - - HYPH cord-267890-j64x6f5r 313 49 varying vary VBG cord-267890-j64x6f5r 313 50 quantities quantity NNS cord-267890-j64x6f5r 313 51 , , , cord-267890-j64x6f5r 313 52 particularly particularly RB cord-267890-j64x6f5r 313 53 transmission transmission NN cord-267890-j64x6f5r 313 54 rate rate NN cord-267890-j64x6f5r 314 1 K K NNP cord-267890-j64x6f5r 314 2 i i PRP cord-267890-j64x6f5r 314 3 ( ( -LRB- cord-267890-j64x6f5r 314 4 t t NN cord-267890-j64x6f5r 314 5 ) ) -RRB- cord-267890-j64x6f5r 314 6 , , , cord-267890-j64x6f5r 314 7 and and CC cord-267890-j64x6f5r 314 8 identifying identify VBG cord-267890-j64x6f5r 314 9 which which WDT cord-267890-j64x6f5r 314 10 forms form VBZ cord-267890-j64x6f5r 314 11 permit permit VBP cord-267890-j64x6f5r 314 12 a a DT cord-267890-j64x6f5r 314 13 solution solution NN cord-267890-j64x6f5r 314 14 consistent consistent JJ cord-267890-j64x6f5r 314 15 with with IN cord-267890-j64x6f5r 314 16 measurements measurement NNS cord-267890-j64x6f5r 314 17 ; ; . cord-267890-j64x6f5r 315 1 3 3 LS cord-267890-j64x6f5r 315 2 ) ) -RRB- cord-267890-j64x6f5r 315 3 examining examine VBG cord-267890-j64x6f5r 315 4 model model NN cord-267890-j64x6f5r 315 5 sensitivity sensitivity NN cord-267890-j64x6f5r 315 6 to to IN cord-267890-j64x6f5r 315 7 the the DT cord-267890-j64x6f5r 315 8 initial initial JJ cord-267890-j64x6f5r 315 9 numbers number NNS cord-267890-j64x6f5r 315 10 within within IN cord-267890-j64x6f5r 315 11 each each DT cord-267890-j64x6f5r 315 12 population population NN cord-267890-j64x6f5r 315 13 ; ; : cord-267890-j64x6f5r 315 14 4 4 LS cord-267890-j64x6f5r 315 15 ) ) -RRB- cord-267890-j64x6f5r 315 16 examining examine VBG cord-267890-j64x6f5r 315 17 model model NN cord-267890-j64x6f5r 315 18 sensitivity sensitivity NN cord-267890-j64x6f5r 315 19 to to IN cord-267890-j64x6f5r 315 20 the the DT cord-267890-j64x6f5r 315 21 temporal temporal JJ cord-267890-j64x6f5r 315 22 frequency frequency NN cord-267890-j64x6f5r 315 23 of of IN cord-267890-j64x6f5r 315 24 data datum NNS cord-267890-j64x6f5r 315 25 sampling sampling NN cord-267890-j64x6f5r 315 26 . . . cord-267890-j64x6f5r 316 1 The the DT cord-267890-j64x6f5r 316 2 ultimate ultimate JJ cord-267890-j64x6f5r 316 3 aim aim NN cord-267890-j64x6f5r 316 4 of of IN cord-267890-j64x6f5r 316 5 SDA SDA NNP cord-267890-j64x6f5r 316 6 is be VBZ cord-267890-j64x6f5r 316 7 to to TO cord-267890-j64x6f5r 316 8 test test VB cord-267890-j64x6f5r 316 9 the the DT cord-267890-j64x6f5r 316 10 validity validity NN cord-267890-j64x6f5r 316 11 of of IN cord-267890-j64x6f5r 316 12 9 9 CD cord-267890-j64x6f5r 316 13 . . . cord-267890-j64x6f5r 317 1 CC CC NNP cord-267890-j64x6f5r 317 2 - - HYPH cord-267890-j64x6f5r 317 3 BY BY NNP cord-267890-j64x6f5r 317 4 - - HYPH cord-267890-j64x6f5r 317 5 NC NC NNP cord-267890-j64x6f5r 317 6 - - HYPH cord-267890-j64x6f5r 317 7 ND ND NNP cord-267890-j64x6f5r 317 8 4.0 4.0 CD cord-267890-j64x6f5r 317 9 International international JJ cord-267890-j64x6f5r 317 10 license license NN cord-267890-j64x6f5r 318 1 It -PRON- PRP cord-267890-j64x6f5r 318 2 is be VBZ cord-267890-j64x6f5r 318 3 made make VBN cord-267890-j64x6f5r 318 4 available available JJ cord-267890-j64x6f5r 318 5 under under IN cord-267890-j64x6f5r 318 6 a a DT cord-267890-j64x6f5r 319 1 is be VBZ cord-267890-j64x6f5r 319 2 the the DT cord-267890-j64x6f5r 319 3 author author NN cord-267890-j64x6f5r 319 4 / / SYM cord-267890-j64x6f5r 319 5 funder funder NN cord-267890-j64x6f5r 319 6 , , , cord-267890-j64x6f5r 319 7 who who WP cord-267890-j64x6f5r 319 8 has have VBZ cord-267890-j64x6f5r 319 9 granted grant VBN cord-267890-j64x6f5r 319 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 319 11 a a DT cord-267890-j64x6f5r 319 12 license license NN cord-267890-j64x6f5r 319 13 to to TO cord-267890-j64x6f5r 319 14 display display VB cord-267890-j64x6f5r 319 15 the the DT cord-267890-j64x6f5r 319 16 preprint preprint NN cord-267890-j64x6f5r 319 17 in in IN cord-267890-j64x6f5r 319 18 perpetuity perpetuity NN cord-267890-j64x6f5r 319 19 . . . cord-267890-j64x6f5r 320 1 The the DT cord-267890-j64x6f5r 320 2 copyright copyright NN cord-267890-j64x6f5r 320 3 holder holder NN cord-267890-j64x6f5r 320 4 for for IN cord-267890-j64x6f5r 320 5 this this DT cord-267890-j64x6f5r 320 6 preprint preprint NN cord-267890-j64x6f5r 320 7 this this DT cord-267890-j64x6f5r 320 8 version version NN cord-267890-j64x6f5r 320 9 posted post VBN cord-267890-j64x6f5r 320 10 May May NNP cord-267890-j64x6f5r 320 11 29 29 CD cord-267890-j64x6f5r 320 12 , , , cord-267890-j64x6f5r 320 13 2020 2020 CD cord-267890-j64x6f5r 320 14 . . . cord-267890-j64x6f5r 320 15 . . . cord-267890-j64x6f5r 321 1 model model NN cord-267890-j64x6f5r 321 2 estimation estimation NN cord-267890-j64x6f5r 321 3 , , , cord-267890-j64x6f5r 321 4 via via IN cord-267890-j64x6f5r 321 5 prediction prediction NN cord-267890-j64x6f5r 321 6 . . . cord-267890-j64x6f5r 322 1 In in IN cord-267890-j64x6f5r 322 2 advance advance NN cord-267890-j64x6f5r 322 3 of of IN cord-267890-j64x6f5r 322 4 that that DT cord-267890-j64x6f5r 322 5 step step NN cord-267890-j64x6f5r 322 6 , , , cord-267890-j64x6f5r 322 7 we -PRON- PRP cord-267890-j64x6f5r 322 8 are be VBP cord-267890-j64x6f5r 322 9 currently currently RB cord-267890-j64x6f5r 322 10 examining examine VBG cord-267890-j64x6f5r 322 11 the the DT cord-267890-j64x6f5r 322 12 stability stability NN cord-267890-j64x6f5r 322 13 of of IN cord-267890-j64x6f5r 322 14 the the DT cord-267890-j64x6f5r 322 15 SDA SDA NNP cord-267890-j64x6f5r 322 16 procedure procedure NN cord-267890-j64x6f5r 322 17 over over IN cord-267890-j64x6f5r 322 18 a a DT cord-267890-j64x6f5r 322 19 range range NN cord-267890-j64x6f5r 322 20 of of IN cord-267890-j64x6f5r 322 21 choices choice NNS cord-267890-j64x6f5r 322 22 for for IN cord-267890-j64x6f5r 322 23 parameter parameter NN cord-267890-j64x6f5r 322 24 values value NNS cord-267890-j64x6f5r 322 25 and and CC cord-267890-j64x6f5r 322 26 initial initial JJ cord-267890-j64x6f5r 322 27 numbers number NNS cord-267890-j64x6f5r 322 28 for for IN cord-267890-j64x6f5r 322 29 the the DT cord-267890-j64x6f5r 322 30 infected infected JJ cord-267890-j64x6f5r 322 31 populations population NNS cord-267890-j64x6f5r 322 32 . . . cord-267890-j64x6f5r 323 1 As as IN cord-267890-j64x6f5r 323 2 this this DT cord-267890-j64x6f5r 323 3 pandemic pandemic NN cord-267890-j64x6f5r 323 4 is be VBZ cord-267890-j64x6f5r 323 5 unlikely unlikely JJ cord-267890-j64x6f5r 323 6 to to TO cord-267890-j64x6f5r 323 7 abate abate VB cord-267890-j64x6f5r 323 8 soon soon RB cord-267890-j64x6f5r 323 9 , , , cord-267890-j64x6f5r 323 10 it -PRON- PRP cord-267890-j64x6f5r 323 11 is be VBZ cord-267890-j64x6f5r 323 12 important important JJ cord-267890-j64x6f5r 323 13 to to TO cord-267890-j64x6f5r 323 14 design design VB cord-267890-j64x6f5r 323 15 well well RB cord-267890-j64x6f5r 323 16 - - HYPH cord-267890-j64x6f5r 323 17 informed inform VBN cord-267890-j64x6f5r 323 18 plans plan NNS cord-267890-j64x6f5r 323 19 for for IN cord-267890-j64x6f5r 323 20 social social JJ cord-267890-j64x6f5r 323 21 and and CC cord-267890-j64x6f5r 323 22 economic economic JJ cord-267890-j64x6f5r 323 23 activity activity NN cord-267890-j64x6f5r 323 24 . . . cord-267890-j64x6f5r 323 25 _SP cord-267890-j64x6f5r 323 26 . . . cord-267890-j64x6f5r 324 1 CC CC NNP cord-267890-j64x6f5r 324 2 - - HYPH cord-267890-j64x6f5r 324 3 BY BY NNP cord-267890-j64x6f5r 324 4 - - HYPH cord-267890-j64x6f5r 324 5 NC NC NNP cord-267890-j64x6f5r 324 6 - - HYPH cord-267890-j64x6f5r 324 7 ND ND NNP cord-267890-j64x6f5r 324 8 4.0 4.0 CD cord-267890-j64x6f5r 324 9 International international JJ cord-267890-j64x6f5r 324 10 license license NN cord-267890-j64x6f5r 325 1 It -PRON- PRP cord-267890-j64x6f5r 325 2 is be VBZ cord-267890-j64x6f5r 325 3 made make VBN cord-267890-j64x6f5r 325 4 available available JJ cord-267890-j64x6f5r 325 5 under under IN cord-267890-j64x6f5r 325 6 a a DT cord-267890-j64x6f5r 326 1 is be VBZ cord-267890-j64x6f5r 326 2 the the DT cord-267890-j64x6f5r 326 3 author author NN cord-267890-j64x6f5r 326 4 / / SYM cord-267890-j64x6f5r 326 5 funder funder NN cord-267890-j64x6f5r 326 6 , , , cord-267890-j64x6f5r 326 7 who who WP cord-267890-j64x6f5r 326 8 has have VBZ cord-267890-j64x6f5r 326 9 granted grant VBN cord-267890-j64x6f5r 326 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 326 11 a a DT cord-267890-j64x6f5r 326 12 license license NN cord-267890-j64x6f5r 326 13 to to TO cord-267890-j64x6f5r 326 14 display display VB cord-267890-j64x6f5r 326 15 the the DT cord-267890-j64x6f5r 326 16 preprint preprint NN cord-267890-j64x6f5r 326 17 in in IN cord-267890-j64x6f5r 326 18 perpetuity perpetuity NN cord-267890-j64x6f5r 326 19 . . . cord-267890-j64x6f5r 327 1 The the DT cord-267890-j64x6f5r 327 2 copyright copyright NN cord-267890-j64x6f5r 327 3 holder holder NN cord-267890-j64x6f5r 327 4 for for IN cord-267890-j64x6f5r 327 5 this this DT cord-267890-j64x6f5r 327 6 preprint preprint NN cord-267890-j64x6f5r 327 7 this this DT cord-267890-j64x6f5r 327 8 version version NN cord-267890-j64x6f5r 327 9 posted post VBN cord-267890-j64x6f5r 327 10 May May NNP cord-267890-j64x6f5r 327 11 29 29 CD cord-267890-j64x6f5r 327 12 , , , cord-267890-j64x6f5r 327 13 2020 2020 CD cord-267890-j64x6f5r 327 14 . . . cord-267890-j64x6f5r 327 15 . . . cord-267890-j64x6f5r 327 16 _SP cord-267890-j64x6f5r 328 1 Thank thank VBP cord-267890-j64x6f5r 328 2 you -PRON- PRP cord-267890-j64x6f5r 328 3 to to IN cord-267890-j64x6f5r 328 4 Patrick Patrick NNP cord-267890-j64x6f5r 328 5 Clay Clay NNP cord-267890-j64x6f5r 328 6 for for IN cord-267890-j64x6f5r 328 7 discussions discussion NNS cord-267890-j64x6f5r 328 8 on on IN cord-267890-j64x6f5r 328 9 inferring infer VBG cord-267890-j64x6f5r 328 10 exposure exposure NN cord-267890-j64x6f5r 328 11 rates rate NNS cord-267890-j64x6f5r 328 12 given give VBN cord-267890-j64x6f5r 328 13 social social JJ cord-267890-j64x6f5r 328 14 distancing distancing NN cord-267890-j64x6f5r 328 15 protocols protocol NNS cord-267890-j64x6f5r 328 16 . . . cord-267890-j64x6f5r 329 1 Hospitalized hospitalize VBN cord-267890-j64x6f5r 329 2 and and CC cord-267890-j64x6f5r 329 3 will will MD cord-267890-j64x6f5r 329 4 recover recover VB cord-267890-j64x6f5r 329 5 , , , cord-267890-j64x6f5r 329 6 detected detect VBD cord-267890-j64x6f5r 329 7 H h NN cord-267890-j64x6f5r 329 8 2,det 2,det CD cord-267890-j64x6f5r 330 1 Hospitalized hospitalize VBN cord-267890-j64x6f5r 330 2 and and CC cord-267890-j64x6f5r 330 3 will will MD cord-267890-j64x6f5r 330 4 go go VB cord-267890-j64x6f5r 330 5 to to IN cord-267890-j64x6f5r 330 6 critical critical JJ cord-267890-j64x6f5r 330 7 care care NN cord-267890-j64x6f5r 330 8 and and CC cord-267890-j64x6f5r 330 9 recover recover VBP cord-267890-j64x6f5r 330 10 , , , cord-267890-j64x6f5r 330 11 detected detect VBN cord-267890-j64x6f5r 331 1 H H NNP cord-267890-j64x6f5r 331 2 3,det 3,det CD cord-267890-j64x6f5r 332 1 Hospitalized hospitalize VBN cord-267890-j64x6f5r 332 2 and and CC cord-267890-j64x6f5r 332 3 will will MD cord-267890-j64x6f5r 332 4 go go VB cord-267890-j64x6f5r 332 5 to to IN cord-267890-j64x6f5r 332 6 critical critical JJ cord-267890-j64x6f5r 332 7 care care NN cord-267890-j64x6f5r 332 8 and and CC cord-267890-j64x6f5r 332 9 die die VBP cord-267890-j64x6f5r 332 10 , , , cord-267890-j64x6f5r 332 11 detected detect VBD cord-267890-j64x6f5r 332 12 H h NN cord-267890-j64x6f5r 332 13 1 1 CD cord-267890-j64x6f5r 332 14 Hospitalized Hospitalized NNP cord-267890-j64x6f5r 332 15 and and CC cord-267890-j64x6f5r 332 16 will will MD cord-267890-j64x6f5r 332 17 recover recover VB cord-267890-j64x6f5r 332 18 , , , cord-267890-j64x6f5r 333 1 undetected undetected JJ cord-267890-j64x6f5r 333 2 H H NNP cord-267890-j64x6f5r 333 3 2 2 CD cord-267890-j64x6f5r 333 4 Hospitalized Hospitalized NNP cord-267890-j64x6f5r 333 5 and and CC cord-267890-j64x6f5r 333 6 will will MD cord-267890-j64x6f5r 333 7 go go VB cord-267890-j64x6f5r 333 8 to to IN cord-267890-j64x6f5r 333 9 critical critical JJ cord-267890-j64x6f5r 333 10 care care NN cord-267890-j64x6f5r 333 11 and and CC cord-267890-j64x6f5r 333 12 recover recover VB cord-267890-j64x6f5r 333 13 , , , cord-267890-j64x6f5r 333 14 undetected undetected JJ cord-267890-j64x6f5r 333 15 H h NN cord-267890-j64x6f5r 333 16 3 3 CD cord-267890-j64x6f5r 333 17 Hospitalized Hospitalized NNP cord-267890-j64x6f5r 333 18 and and CC cord-267890-j64x6f5r 333 19 will will MD cord-267890-j64x6f5r 333 20 go go VB cord-267890-j64x6f5r 333 21 to to IN cord-267890-j64x6f5r 333 22 critical critical JJ cord-267890-j64x6f5r 333 23 care care NN cord-267890-j64x6f5r 333 24 and and CC cord-267890-j64x6f5r 333 25 die die VBP cord-267890-j64x6f5r 333 26 , , , cord-267890-j64x6f5r 333 27 undetected undetected JJ cord-267890-j64x6f5r 334 1 In in IN cord-267890-j64x6f5r 334 2 critical critical JJ cord-267890-j64x6f5r 334 3 care care NN cord-267890-j64x6f5r 334 4 and and CC cord-267890-j64x6f5r 334 5 will will MD cord-267890-j64x6f5r 334 6 recover recover VB cord-267890-j64x6f5r 334 7 , , , cord-267890-j64x6f5r 334 8 detected detect VBN cord-267890-j64x6f5r 334 9 C C NNP cord-267890-j64x6f5r 334 10 3,det 3,det CD cord-267890-j64x6f5r 335 1 In in IN cord-267890-j64x6f5r 335 2 critical critical JJ cord-267890-j64x6f5r 335 3 care care NN cord-267890-j64x6f5r 335 4 and and CC cord-267890-j64x6f5r 335 5 will will MD cord-267890-j64x6f5r 335 6 die die VB cord-267890-j64x6f5r 335 7 , , , cord-267890-j64x6f5r 335 8 detected detect VBD cord-267890-j64x6f5r 335 9 C C NNP cord-267890-j64x6f5r 335 10 2 2 CD cord-267890-j64x6f5r 336 1 In in IN cord-267890-j64x6f5r 336 2 critical critical JJ cord-267890-j64x6f5r 336 3 care care NN cord-267890-j64x6f5r 336 4 and and CC cord-267890-j64x6f5r 336 5 will will MD cord-267890-j64x6f5r 336 6 recover recover VB cord-267890-j64x6f5r 336 7 , , , cord-267890-j64x6f5r 336 8 undetected undetected JJ cord-267890-j64x6f5r 336 9 C c NN cord-267890-j64x6f5r 336 10 3 3 CD cord-267890-j64x6f5r 337 1 In in IN cord-267890-j64x6f5r 337 2 critical critical JJ cord-267890-j64x6f5r 337 3 care care NN cord-267890-j64x6f5r 337 4 and and CC cord-267890-j64x6f5r 337 5 will will MD cord-267890-j64x6f5r 337 6 die die VB cord-267890-j64x6f5r 337 7 , , , cord-267890-j64x6f5r 337 8 undetected undetected JJ cord-267890-j64x6f5r 337 9 R r NN cord-267890-j64x6f5r 337 10 Recovered recover VBN cord-267890-j64x6f5r 337 11 D D NNP cord-267890-j64x6f5r 337 12 Dead Dead NNP cord-267890-j64x6f5r 337 13 . . . cord-267890-j64x6f5r 338 1 CC CC NNP cord-267890-j64x6f5r 338 2 - - HYPH cord-267890-j64x6f5r 338 3 BY BY NNP cord-267890-j64x6f5r 338 4 - - HYPH cord-267890-j64x6f5r 338 5 NC NC NNP cord-267890-j64x6f5r 338 6 - - HYPH cord-267890-j64x6f5r 338 7 ND ND NNP cord-267890-j64x6f5r 338 8 4.0 4.0 CD cord-267890-j64x6f5r 338 9 International international JJ cord-267890-j64x6f5r 338 10 license license NN cord-267890-j64x6f5r 339 1 It -PRON- PRP cord-267890-j64x6f5r 339 2 is be VBZ cord-267890-j64x6f5r 339 3 made make VBN cord-267890-j64x6f5r 339 4 available available JJ cord-267890-j64x6f5r 339 5 under under IN cord-267890-j64x6f5r 339 6 a a DT cord-267890-j64x6f5r 340 1 is be VBZ cord-267890-j64x6f5r 340 2 the the DT cord-267890-j64x6f5r 340 3 author author NN cord-267890-j64x6f5r 340 4 / / SYM cord-267890-j64x6f5r 340 5 funder funder NN cord-267890-j64x6f5r 340 6 , , , cord-267890-j64x6f5r 340 7 who who WP cord-267890-j64x6f5r 340 8 has have VBZ cord-267890-j64x6f5r 340 9 granted grant VBN cord-267890-j64x6f5r 340 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 340 11 a a DT cord-267890-j64x6f5r 340 12 license license NN cord-267890-j64x6f5r 340 13 to to TO cord-267890-j64x6f5r 340 14 display display VB cord-267890-j64x6f5r 340 15 the the DT cord-267890-j64x6f5r 340 16 preprint preprint NN cord-267890-j64x6f5r 340 17 in in IN cord-267890-j64x6f5r 340 18 perpetuity perpetuity NN cord-267890-j64x6f5r 340 19 . . . cord-267890-j64x6f5r 341 1 The the DT cord-267890-j64x6f5r 341 2 copyright copyright NN cord-267890-j64x6f5r 341 3 holder holder NN cord-267890-j64x6f5r 341 4 for for IN cord-267890-j64x6f5r 341 5 this this DT cord-267890-j64x6f5r 341 6 preprint preprint NN cord-267890-j64x6f5r 341 7 this this DT cord-267890-j64x6f5r 341 8 version version NN cord-267890-j64x6f5r 341 9 posted post VBN cord-267890-j64x6f5r 341 10 May May NNP cord-267890-j64x6f5r 341 11 29 29 CD cord-267890-j64x6f5r 341 12 , , , cord-267890-j64x6f5r 341 13 2020 2020 CD cord-267890-j64x6f5r 341 14 . . . cord-267890-j64x6f5r 341 15 . . . cord-267890-j64x6f5r 342 1 Figure figure NN cord-267890-j64x6f5r 342 2 9 9 CD cord-267890-j64x6f5r 342 3 : : : cord-267890-j64x6f5r 342 4 Estimates estimate NNS cord-267890-j64x6f5r 342 5 for for IN cord-267890-j64x6f5r 342 6 Experiment experiment NN cord-267890-j64x6f5r 343 1 iv iv LS cord-267890-j64x6f5r 343 2 . . . cord-267890-j64x6f5r 344 1 The the DT cord-267890-j64x6f5r 344 2 noise noise NN cord-267890-j64x6f5r 344 3 added add VBD cord-267890-j64x6f5r 344 4 to to IN cord-267890-j64x6f5r 344 5 R R NNP cord-267890-j64x6f5r 344 6 propagates propagate VBZ cord-267890-j64x6f5r 344 7 to to IN cord-267890-j64x6f5r 344 8 some some DT cord-267890-j64x6f5r 344 9 unmeasured unmeasured JJ cord-267890-j64x6f5r 344 10 states state NNS cord-267890-j64x6f5r 344 11 and and CC cord-267890-j64x6f5r 344 12 to to IN cord-267890-j64x6f5r 344 13 the the DT cord-267890-j64x6f5r 344 14 detection detection NN cord-267890-j64x6f5r 344 15 probability probability NN cord-267890-j64x6f5r 344 16 d d NN cord-267890-j64x6f5r 344 17 Sym Sym NNP cord-267890-j64x6f5r 344 18 , , , cord-267890-j64x6f5r 344 19 but but CC cord-267890-j64x6f5r 344 20 -with -with CD cord-267890-j64x6f5r 345 1 the the DT cord-267890-j64x6f5r 345 2 exception exception NN cord-267890-j64x6f5r 345 3 of of IN cord-267890-j64x6f5r 345 4 Sym Sym NNP cord-267890-j64x6f5r 345 5 -the -the DT cord-267890-j64x6f5r 345 6 overall overall JJ cord-267890-j64x6f5r 345 7 evolution evolution NN cord-267890-j64x6f5r 345 8 is be VBZ cord-267890-j64x6f5r 345 9 captured capture VBN cord-267890-j64x6f5r 345 10 well well RB cord-267890-j64x6f5r 345 11 . . . cord-267890-j64x6f5r 346 1 The the DT cord-267890-j64x6f5r 346 2 noise noise NN cord-267890-j64x6f5r 346 3 does do VBZ cord-267890-j64x6f5r 346 4 preclude preclude VB cord-267890-j64x6f5r 346 5 an an DT cord-267890-j64x6f5r 346 6 estimate estimate NN cord-267890-j64x6f5r 346 7 of of IN cord-267890-j64x6f5r 346 8 transmission transmission NN cord-267890-j64x6f5r 346 9 rate rate NN cord-267890-j64x6f5r 346 10 K K NNP cord-267890-j64x6f5r 346 11 i i PRP cord-267890-j64x6f5r 346 12 . . . cord-267890-j64x6f5r 346 13 . . . cord-267890-j64x6f5r 347 1 CC CC NNP cord-267890-j64x6f5r 347 2 - - HYPH cord-267890-j64x6f5r 347 3 BY BY NNP cord-267890-j64x6f5r 347 4 - - HYPH cord-267890-j64x6f5r 347 5 NC NC NNP cord-267890-j64x6f5r 347 6 - - HYPH cord-267890-j64x6f5r 347 7 ND ND NNP cord-267890-j64x6f5r 347 8 4.0 4.0 CD cord-267890-j64x6f5r 347 9 International international JJ cord-267890-j64x6f5r 347 10 license license NN cord-267890-j64x6f5r 348 1 It -PRON- PRP cord-267890-j64x6f5r 348 2 is be VBZ cord-267890-j64x6f5r 348 3 made make VBN cord-267890-j64x6f5r 348 4 available available JJ cord-267890-j64x6f5r 348 5 under under IN cord-267890-j64x6f5r 348 6 a a DT cord-267890-j64x6f5r 349 1 is be VBZ cord-267890-j64x6f5r 349 2 the the DT cord-267890-j64x6f5r 349 3 author author NN cord-267890-j64x6f5r 349 4 / / SYM cord-267890-j64x6f5r 349 5 funder funder NN cord-267890-j64x6f5r 349 6 , , , cord-267890-j64x6f5r 349 7 who who WP cord-267890-j64x6f5r 349 8 has have VBZ cord-267890-j64x6f5r 349 9 granted grant VBN cord-267890-j64x6f5r 349 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 349 11 a a DT cord-267890-j64x6f5r 349 12 license license NN cord-267890-j64x6f5r 349 13 to to TO cord-267890-j64x6f5r 349 14 display display VB cord-267890-j64x6f5r 349 15 the the DT cord-267890-j64x6f5r 349 16 preprint preprint NN cord-267890-j64x6f5r 349 17 in in IN cord-267890-j64x6f5r 349 18 perpetuity perpetuity NN cord-267890-j64x6f5r 349 19 . . . cord-267890-j64x6f5r 350 1 The the DT cord-267890-j64x6f5r 350 2 copyright copyright NN cord-267890-j64x6f5r 350 3 holder holder NN cord-267890-j64x6f5r 350 4 for for IN cord-267890-j64x6f5r 350 5 this this DT cord-267890-j64x6f5r 350 6 preprint preprint NN cord-267890-j64x6f5r 350 7 this this DT cord-267890-j64x6f5r 350 8 version version NN cord-267890-j64x6f5r 350 9 posted post VBN cord-267890-j64x6f5r 350 10 May May NNP cord-267890-j64x6f5r 350 11 29 29 CD cord-267890-j64x6f5r 350 12 , , , cord-267890-j64x6f5r 350 13 2020 2020 CD cord-267890-j64x6f5r 350 14 . . . cord-267890-j64x6f5r 350 15 . . . cord-267890-j64x6f5r 351 1 https://doi.org/10.1101/2020.05.27.20112987 https://doi.org/10.1101/2020.05.27.20112987 NNP cord-267890-j64x6f5r 351 2 doi doi NN cord-267890-j64x6f5r 351 3 : : : cord-267890-j64x6f5r 352 1 medRxiv medRxiv NNP cord-267890-j64x6f5r 352 2 preprint preprint NN cord-267890-j64x6f5r 352 3 Figure Figure NNP cord-267890-j64x6f5r 352 4 10 10 CD cord-267890-j64x6f5r 352 5 : : : cord-267890-j64x6f5r 352 6 Estimates estimate NNS cord-267890-j64x6f5r 352 7 for for IN cord-267890-j64x6f5r 352 8 Experiment experiment NN cord-267890-j64x6f5r 352 9 v v NN cord-267890-j64x6f5r 352 10 : : : cord-267890-j64x6f5r 352 11 noise noise NN cord-267890-j64x6f5r 352 12 added add VBN cord-267890-j64x6f5r 352 13 to to IN cord-267890-j64x6f5r 352 14 R r NN cord-267890-j64x6f5r 352 15 , , , cord-267890-j64x6f5r 352 16 Sym Sym NNP cord-267890-j64x6f5r 352 17 det det NNP cord-267890-j64x6f5r 352 18 , , , cord-267890-j64x6f5r 352 19 and and CC cord-267890-j64x6f5r 353 1 Sys Sys NNP cord-267890-j64x6f5r 353 2 det det NNP cord-267890-j64x6f5r 353 3 . . . cord-267890-j64x6f5r 354 1 Estimates estimate NNS cord-267890-j64x6f5r 354 2 of of IN cord-267890-j64x6f5r 354 3 detection detection NN cord-267890-j64x6f5r 354 4 probabilities probability NNS cord-267890-j64x6f5r 354 5 are be VBP cord-267890-j64x6f5r 354 6 noisier noisy JJR cord-267890-j64x6f5r 354 7 than than IN cord-267890-j64x6f5r 354 8 those those DT cord-267890-j64x6f5r 354 9 for for IN cord-267890-j64x6f5r 354 10 Experiment Experiment NNP cord-267890-j64x6f5r 354 11 iv iv CD cord-267890-j64x6f5r 354 12 , , , cord-267890-j64x6f5r 354 13 although although IN cord-267890-j64x6f5r 354 14 the the DT cord-267890-j64x6f5r 354 15 trends trend NNS cord-267890-j64x6f5r 354 16 are be VBP cord-267890-j64x6f5r 354 17 still still RB cord-267890-j64x6f5r 354 18 captured capture VBN cord-267890-j64x6f5r 354 19 . . . cord-267890-j64x6f5r 355 1 The the DT cord-267890-j64x6f5r 355 2 state state NN cord-267890-j64x6f5r 355 3 estimate estimate NN cord-267890-j64x6f5r 355 4 is be VBZ cord-267890-j64x6f5r 355 5 similar similar JJ cord-267890-j64x6f5r 355 6 to to IN cord-267890-j64x6f5r 355 7 that that DT cord-267890-j64x6f5r 355 8 shown show VBN cord-267890-j64x6f5r 355 9 in in IN cord-267890-j64x6f5r 355 10 Figure figure NN cord-267890-j64x6f5r 355 11 9 9 CD cord-267890-j64x6f5r 355 12 for for IN cord-267890-j64x6f5r 355 13 Experiment Experiment NNP cord-267890-j64x6f5r 355 14 iv iv CD cord-267890-j64x6f5r 355 15 ( ( -LRB- cord-267890-j64x6f5r 355 16 not not RB cord-267890-j64x6f5r 355 17 shown show VBN cord-267890-j64x6f5r 355 18 ) ) -RRB- cord-267890-j64x6f5r 355 19 . . . cord-267890-j64x6f5r 356 1 Figure figure NN cord-267890-j64x6f5r 356 2 11 11 CD cord-267890-j64x6f5r 356 3 : : : cord-267890-j64x6f5r 357 1 Cost cost NN cord-267890-j64x6f5r 357 2 versus versus IN cord-267890-j64x6f5r 357 3 β β XX cord-267890-j64x6f5r 357 4 using use VBG cord-267890-j64x6f5r 357 5 the the DT cord-267890-j64x6f5r 357 6 Italy Italy NNP cord-267890-j64x6f5r 357 7 data datum NNS cord-267890-j64x6f5r 357 8 , , , cord-267890-j64x6f5r 357 9 indicating indicate VBG cord-267890-j64x6f5r 357 10 that that IN cord-267890-j64x6f5r 357 11 a a DT cord-267890-j64x6f5r 357 12 stable stable JJ cord-267890-j64x6f5r 357 13 solution solution NN cord-267890-j64x6f5r 357 14 has have VBZ cord-267890-j64x6f5r 357 15 been be VBN cord-267890-j64x6f5r 357 16 found find VBN cord-267890-j64x6f5r 357 17 . . . cord-267890-j64x6f5r 358 1 The the DT cord-267890-j64x6f5r 358 2 blue blue JJ cord-267890-j64x6f5r 358 3 notation notation NN cord-267890-j64x6f5r 358 4 specified specify VBN cord-267890-j64x6f5r 358 5 by by IN cord-267890-j64x6f5r 358 6 overbrackets overbracket NNS cord-267890-j64x6f5r 358 7 denotes denote VBZ cord-267890-j64x6f5r 358 8 the the DT cord-267890-j64x6f5r 358 9 correspondence correspondence NN cord-267890-j64x6f5r 358 10 of of IN cord-267890-j64x6f5r 358 11 specific specific JJ cord-267890-j64x6f5r 358 12 terms term NNS cord-267890-j64x6f5r 358 13 to to IN cord-267890-j64x6f5r 358 14 the the DT cord-267890-j64x6f5r 358 15 reactions reaction NNS cord-267890-j64x6f5r 358 16 between between IN cord-267890-j64x6f5r 358 17 the the DT cord-267890-j64x6f5r 358 18 populations population NNS cord-267890-j64x6f5r 358 19 depicted depict VBN cord-267890-j64x6f5r 358 20 in in IN cord-267890-j64x6f5r 358 21 Figure figure NN cord-267890-j64x6f5r 358 22 1 1 CD cord-267890-j64x6f5r 358 23 . . . cord-267890-j64x6f5r 359 1 Note note VB cord-267890-j64x6f5r 359 2 that that IN cord-267890-j64x6f5r 359 3 the the DT cord-267890-j64x6f5r 359 4 return return NN cord-267890-j64x6f5r 359 5 of of IN cord-267890-j64x6f5r 359 6 any any DT cord-267890-j64x6f5r 359 7 portion portion NN cord-267890-j64x6f5r 359 8 of of IN cord-267890-j64x6f5r 359 9 the the DT cord-267890-j64x6f5r 359 10 R r NN cord-267890-j64x6f5r 359 11 population population NN cord-267890-j64x6f5r 359 12 to to IN cord-267890-j64x6f5r 359 13 S S NNP cord-267890-j64x6f5r 359 14 is be VBZ cord-267890-j64x6f5r 359 15 believed believe VBN cord-267890-j64x6f5r 359 16 to to TO cord-267890-j64x6f5r 359 17 be be VB cord-267890-j64x6f5r 359 18 zero zero CD cord-267890-j64x6f5r 359 19 . . . cord-267890-j64x6f5r 360 1 Nevertheless nevertheless RB cord-267890-j64x6f5r 360 2 , , , cord-267890-j64x6f5r 360 3 we -PRON- PRP cord-267890-j64x6f5r 360 4 assayed assay VBD cord-267890-j64x6f5r 360 5 the the DT cord-267890-j64x6f5r 360 6 ability ability NN cord-267890-j64x6f5r 360 7 of of IN cord-267890-j64x6f5r 360 8 SDA SDA NNP cord-267890-j64x6f5r 360 9 to to TO cord-267890-j64x6f5r 360 10 assimilate assimilate VB cord-267890-j64x6f5r 360 11 some some DT cord-267890-j64x6f5r 360 12 portion portion NN cord-267890-j64x6f5r 360 13 of of IN cord-267890-j64x6f5r 360 14 R r NN cord-267890-j64x6f5r 360 15 back back RB cord-267890-j64x6f5r 360 16 into into IN cord-267890-j64x6f5r 360 17 S S NNP cord-267890-j64x6f5r 360 18 , , , cord-267890-j64x6f5r 360 19 as as IN cord-267890-j64x6f5r 360 20 a a DT cord-267890-j64x6f5r 360 21 proof proof NN cord-267890-j64x6f5r 360 22 - - HYPH cord-267890-j64x6f5r 360 23 of of IN cord-267890-j64x6f5r 360 24 - - HYPH cord-267890-j64x6f5r 360 25 principle principle NN cord-267890-j64x6f5r 360 26 that that IN cord-267890-j64x6f5r 360 27 it -PRON- PRP cord-267890-j64x6f5r 360 28 can can MD cord-267890-j64x6f5r 360 29 be be VB cord-267890-j64x6f5r 360 30 done do VBN cord-267890-j64x6f5r 360 31 readily readily RB cord-267890-j64x6f5r 360 32 . . . cord-267890-j64x6f5r 360 33 . . . cord-267890-j64x6f5r 361 1 CC CC NNP cord-267890-j64x6f5r 361 2 - - HYPH cord-267890-j64x6f5r 361 3 BY BY NNP cord-267890-j64x6f5r 361 4 - - HYPH cord-267890-j64x6f5r 361 5 NC NC NNP cord-267890-j64x6f5r 361 6 - - HYPH cord-267890-j64x6f5r 361 7 ND ND NNP cord-267890-j64x6f5r 361 8 4.0 4.0 CD cord-267890-j64x6f5r 361 9 International international JJ cord-267890-j64x6f5r 361 10 license license NN cord-267890-j64x6f5r 362 1 It -PRON- PRP cord-267890-j64x6f5r 362 2 is be VBZ cord-267890-j64x6f5r 362 3 made make VBN cord-267890-j64x6f5r 362 4 available available JJ cord-267890-j64x6f5r 362 5 under under IN cord-267890-j64x6f5r 362 6 a a DT cord-267890-j64x6f5r 363 1 is be VBZ cord-267890-j64x6f5r 363 2 the the DT cord-267890-j64x6f5r 363 3 author author NN cord-267890-j64x6f5r 363 4 / / SYM cord-267890-j64x6f5r 363 5 funder funder NN cord-267890-j64x6f5r 363 6 , , , cord-267890-j64x6f5r 363 7 who who WP cord-267890-j64x6f5r 363 8 has have VBZ cord-267890-j64x6f5r 363 9 granted grant VBN cord-267890-j64x6f5r 363 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 363 11 a a DT cord-267890-j64x6f5r 363 12 license license NN cord-267890-j64x6f5r 363 13 to to TO cord-267890-j64x6f5r 363 14 display display VB cord-267890-j64x6f5r 363 15 the the DT cord-267890-j64x6f5r 363 16 preprint preprint NN cord-267890-j64x6f5r 363 17 in in IN cord-267890-j64x6f5r 363 18 perpetuity perpetuity NN cord-267890-j64x6f5r 363 19 . . . cord-267890-j64x6f5r 364 1 The the DT cord-267890-j64x6f5r 364 2 copyright copyright NN cord-267890-j64x6f5r 364 3 holder holder NN cord-267890-j64x6f5r 364 4 for for IN cord-267890-j64x6f5r 364 5 this this DT cord-267890-j64x6f5r 364 6 preprint preprint NN cord-267890-j64x6f5r 364 7 this this DT cord-267890-j64x6f5r 364 8 version version NN cord-267890-j64x6f5r 364 9 posted post VBN cord-267890-j64x6f5r 364 10 May May NNP cord-267890-j64x6f5r 364 11 29 29 CD cord-267890-j64x6f5r 364 12 , , , cord-267890-j64x6f5r 364 13 2020 2020 CD cord-267890-j64x6f5r 364 14 . . . cord-267890-j64x6f5r 364 15 . . . cord-267890-j64x6f5r 365 1 14 14 CD cord-267890-j64x6f5r 365 2 . . . cord-267890-j64x6f5r 366 1 CC CC NNP cord-267890-j64x6f5r 366 2 - - HYPH cord-267890-j64x6f5r 366 3 BY BY NNP cord-267890-j64x6f5r 366 4 - - HYPH cord-267890-j64x6f5r 366 5 NC NC NNP cord-267890-j64x6f5r 366 6 - - HYPH cord-267890-j64x6f5r 366 7 ND ND NNP cord-267890-j64x6f5r 366 8 4.0 4.0 CD cord-267890-j64x6f5r 366 9 International international JJ cord-267890-j64x6f5r 366 10 license license NN cord-267890-j64x6f5r 367 1 It -PRON- PRP cord-267890-j64x6f5r 367 2 is be VBZ cord-267890-j64x6f5r 367 3 made make VBN cord-267890-j64x6f5r 367 4 available available JJ cord-267890-j64x6f5r 367 5 under under IN cord-267890-j64x6f5r 367 6 a a DT cord-267890-j64x6f5r 368 1 is be VBZ cord-267890-j64x6f5r 368 2 the the DT cord-267890-j64x6f5r 368 3 author author NN cord-267890-j64x6f5r 368 4 / / SYM cord-267890-j64x6f5r 368 5 funder funder NN cord-267890-j64x6f5r 368 6 , , , cord-267890-j64x6f5r 368 7 who who WP cord-267890-j64x6f5r 368 8 has have VBZ cord-267890-j64x6f5r 368 9 granted grant VBN cord-267890-j64x6f5r 368 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 368 11 a a DT cord-267890-j64x6f5r 368 12 license license NN cord-267890-j64x6f5r 368 13 to to TO cord-267890-j64x6f5r 368 14 display display VB cord-267890-j64x6f5r 368 15 the the DT cord-267890-j64x6f5r 368 16 preprint preprint NN cord-267890-j64x6f5r 368 17 in in IN cord-267890-j64x6f5r 368 18 perpetuity perpetuity NN cord-267890-j64x6f5r 368 19 . . . cord-267890-j64x6f5r 369 1 The the DT cord-267890-j64x6f5r 369 2 copyright copyright NN cord-267890-j64x6f5r 369 3 holder holder NN cord-267890-j64x6f5r 369 4 for for IN cord-267890-j64x6f5r 369 5 this this DT cord-267890-j64x6f5r 369 6 preprint preprint NN cord-267890-j64x6f5r 369 7 this this DT cord-267890-j64x6f5r 369 8 version version NN cord-267890-j64x6f5r 369 9 posted post VBN cord-267890-j64x6f5r 369 10 May May NNP cord-267890-j64x6f5r 369 11 29 29 CD cord-267890-j64x6f5r 369 12 , , , cord-267890-j64x6f5r 369 13 2020 2020 CD cord-267890-j64x6f5r 369 14 . . . cord-267890-j64x6f5r 369 15 . . . cord-267890-j64x6f5r 370 1 Figure figure NN cord-267890-j64x6f5r 370 2 12 12 CD cord-267890-j64x6f5r 370 3 : : : cord-267890-j64x6f5r 370 4 Estimates estimate NNS cord-267890-j64x6f5r 370 5 of of IN cord-267890-j64x6f5r 370 6 all all DT cord-267890-j64x6f5r 370 7 measured measure VBN cord-267890-j64x6f5r 370 8 and and CC cord-267890-j64x6f5r 370 9 unmeasured unmeasured JJ cord-267890-j64x6f5r 370 10 state state NN cord-267890-j64x6f5r 370 11 variables variable NNS cord-267890-j64x6f5r 370 12 , , , cord-267890-j64x6f5r 370 13 given give VBN cord-267890-j64x6f5r 370 14 the the DT cord-267890-j64x6f5r 370 15 Italy Italy NNP cord-267890-j64x6f5r 370 16 measurements measurement NNS cord-267890-j64x6f5r 370 17 of of IN cord-267890-j64x6f5r 370 18 R r NN cord-267890-j64x6f5r 370 19 , , , cord-267890-j64x6f5r 370 20 D D NNP cord-267890-j64x6f5r 370 21 , , , cord-267890-j64x6f5r 370 22 and and CC cord-267890-j64x6f5r 370 23 Confirmed confirm VBD cord-267890-j64x6f5r 370 24 C C NNP cord-267890-j64x6f5r 370 25 over over IN cord-267890-j64x6f5r 370 26 112 112 CD cord-267890-j64x6f5r 370 27 days day NNS cord-267890-j64x6f5r 370 28 . . . cord-267890-j64x6f5r 371 1 See see VB cord-267890-j64x6f5r 371 2 text text NN cord-267890-j64x6f5r 371 3 for for IN cord-267890-j64x6f5r 371 4 comments comment NNS cord-267890-j64x6f5r 371 5 and and CC cord-267890-j64x6f5r 371 6 for for IN cord-267890-j64x6f5r 371 7 our -PRON- PRP$ cord-267890-j64x6f5r 371 8 translation translation NN cord-267890-j64x6f5r 371 9 of of IN cord-267890-j64x6f5r 371 10 C C NNP cord-267890-j64x6f5r 371 11 into into IN cord-267890-j64x6f5r 371 12 state state NN cord-267890-j64x6f5r 371 13 variables variable NNS cord-267890-j64x6f5r 372 1 As as IN cord-267890-j64x6f5r 372 2 det det NNP cord-267890-j64x6f5r 372 3 , , , cord-267890-j64x6f5r 372 4 Sym Sym NNP cord-267890-j64x6f5r 372 5 det det NNP cord-267890-j64x6f5r 372 6 , , , cord-267890-j64x6f5r 372 7 and and CC cord-267890-j64x6f5r 372 8 Sys Sys NNP cord-267890-j64x6f5r 372 9 det det NNP cord-267890-j64x6f5r 372 10 . . NNP cord-267890-j64x6f5r 372 11 . . . cord-267890-j64x6f5r 373 1 CC CC NNP cord-267890-j64x6f5r 373 2 - - HYPH cord-267890-j64x6f5r 373 3 BY BY NNP cord-267890-j64x6f5r 373 4 - - HYPH cord-267890-j64x6f5r 373 5 NC NC NNP cord-267890-j64x6f5r 373 6 - - HYPH cord-267890-j64x6f5r 373 7 ND ND NNP cord-267890-j64x6f5r 373 8 4.0 4.0 CD cord-267890-j64x6f5r 373 9 International international JJ cord-267890-j64x6f5r 373 10 license license NN cord-267890-j64x6f5r 374 1 It -PRON- PRP cord-267890-j64x6f5r 374 2 is be VBZ cord-267890-j64x6f5r 374 3 made make VBN cord-267890-j64x6f5r 374 4 available available JJ cord-267890-j64x6f5r 374 5 under under IN cord-267890-j64x6f5r 374 6 a a DT cord-267890-j64x6f5r 375 1 is be VBZ cord-267890-j64x6f5r 375 2 the the DT cord-267890-j64x6f5r 375 3 author author NN cord-267890-j64x6f5r 375 4 / / SYM cord-267890-j64x6f5r 375 5 funder funder NN cord-267890-j64x6f5r 375 6 , , , cord-267890-j64x6f5r 375 7 who who WP cord-267890-j64x6f5r 375 8 has have VBZ cord-267890-j64x6f5r 375 9 granted grant VBN cord-267890-j64x6f5r 375 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 375 11 a a DT cord-267890-j64x6f5r 375 12 license license NN cord-267890-j64x6f5r 375 13 to to TO cord-267890-j64x6f5r 375 14 display display VB cord-267890-j64x6f5r 375 15 the the DT cord-267890-j64x6f5r 375 16 preprint preprint NN cord-267890-j64x6f5r 375 17 in in IN cord-267890-j64x6f5r 375 18 perpetuity perpetuity NN cord-267890-j64x6f5r 375 19 . . . cord-267890-j64x6f5r 376 1 The the DT cord-267890-j64x6f5r 376 2 copyright copyright NN cord-267890-j64x6f5r 376 3 holder holder NN cord-267890-j64x6f5r 376 4 for for IN cord-267890-j64x6f5r 376 5 this this DT cord-267890-j64x6f5r 376 6 preprint preprint NN cord-267890-j64x6f5r 376 7 this this DT cord-267890-j64x6f5r 376 8 version version NN cord-267890-j64x6f5r 376 9 posted post VBN cord-267890-j64x6f5r 376 10 May May NNP cord-267890-j64x6f5r 376 11 29 29 CD cord-267890-j64x6f5r 376 12 , , , cord-267890-j64x6f5r 376 13 2020 2020 CD cord-267890-j64x6f5r 376 14 . . . cord-267890-j64x6f5r 376 15 . . . cord-267890-j64x6f5r 377 1 Table table NN cord-267890-j64x6f5r 377 2 4 4 CD cord-267890-j64x6f5r 377 3 : : : cord-267890-j64x6f5r 378 1 The the DT cord-267890-j64x6f5r 378 2 model model NN cord-267890-j64x6f5r 378 3 parameters parameter NNS cord-267890-j64x6f5r 378 4 , , , cord-267890-j64x6f5r 378 5 with with IN cord-267890-j64x6f5r 378 6 the the DT cord-267890-j64x6f5r 378 7 unknown unknown JJ cord-267890-j64x6f5r 378 8 parameters parameter NNS cord-267890-j64x6f5r 378 9 to to TO cord-267890-j64x6f5r 378 10 be be VB cord-267890-j64x6f5r 378 11 estimated estimate VBN cord-267890-j64x6f5r 378 12 denoted denote VBN cord-267890-j64x6f5r 378 13 in in IN cord-267890-j64x6f5r 378 14 boldface boldface NN cord-267890-j64x6f5r 378 15 . . . cord-267890-j64x6f5r 379 1 The the DT cord-267890-j64x6f5r 379 2 unknown unknown JJ cord-267890-j64x6f5r 379 3 parameters parameter NNS cord-267890-j64x6f5r 379 4 K K NNP cord-267890-j64x6f5r 379 5 i i NN cord-267890-j64x6f5r 379 6 , , , cord-267890-j64x6f5r 379 7 Sym Sym NNP cord-267890-j64x6f5r 379 8 , , , cord-267890-j64x6f5r 379 9 and and CC cord-267890-j64x6f5r 379 10 d d NNP cord-267890-j64x6f5r 379 11 Sys Sys NNP cord-267890-j64x6f5r 379 12 are be VBP cord-267890-j64x6f5r 379 13 taken take VBN cord-267890-j64x6f5r 379 14 to to TO cord-267890-j64x6f5r 379 15 be be VB cord-267890-j64x6f5r 379 16 time time NN cord-267890-j64x6f5r 379 17 - - HYPH cord-267890-j64x6f5r 379 18 varying varying NN cord-267890-j64x6f5r 379 19 . . . cord-267890-j64x6f5r 380 1 The the DT cord-267890-j64x6f5r 380 2 unknown unknown JJ cord-267890-j64x6f5r 380 3 parameters parameter NNS cord-267890-j64x6f5r 380 4 f f IN cord-267890-j64x6f5r 380 5 sympt sympt NN cord-267890-j64x6f5r 380 6 and and CC cord-267890-j64x6f5r 380 7 f f NNP cord-267890-j64x6f5r 380 8 severe severe JJ cord-267890-j64x6f5r 380 9 are be VBP cord-267890-j64x6f5r 380 10 taken take VBN cord-267890-j64x6f5r 380 11 to to TO cord-267890-j64x6f5r 380 12 be be VB cord-267890-j64x6f5r 380 13 intrinsic intrinsic JJ cord-267890-j64x6f5r 380 14 properties property NNS cord-267890-j64x6f5r 380 15 of of IN cord-267890-j64x6f5r 380 16 the the DT cord-267890-j64x6f5r 380 17 disease disease NN cord-267890-j64x6f5r 380 18 and and CC cord-267890-j64x6f5r 380 19 therefore therefore RB cord-267890-j64x6f5r 380 20 constant constant JJ cord-267890-j64x6f5r 380 21 numbers number NNS cord-267890-j64x6f5r 380 22 . . . cord-267890-j64x6f5r 381 1 The the DT cord-267890-j64x6f5r 381 2 detection detection NN cord-267890-j64x6f5r 381 3 probability probability NN cord-267890-j64x6f5r 381 4 of of IN cord-267890-j64x6f5r 381 5 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 381 6 cases case NNS cord-267890-j64x6f5r 381 7 is be VBZ cord-267890-j64x6f5r 381 8 taken take VBN cord-267890-j64x6f5r 381 9 to to TO cord-267890-j64x6f5r 381 10 be be VB cord-267890-j64x6f5r 381 11 known know VBN cord-267890-j64x6f5r 381 12 and and CC cord-267890-j64x6f5r 381 13 zero zero CD cord-267890-j64x6f5r 381 14 . . . cord-267890-j64x6f5r 382 1 Units unit NNS cord-267890-j64x6f5r 382 2 of of IN cord-267890-j64x6f5r 382 3 time time NN cord-267890-j64x6f5r 382 4 are be VBP cord-267890-j64x6f5r 382 5 days day NNS cord-267890-j64x6f5r 382 6 . . . cord-267890-j64x6f5r 383 1 Description Description NNP cord-267890-j64x6f5r 383 2 Value Value NNP cord-267890-j64x6f5r 383 3 N N NNP cord-267890-j64x6f5r 383 4 Total Total NNP cord-267890-j64x6f5r 383 5 population population NN cord-267890-j64x6f5r 383 6 9,000,000 9,000,000 CD cord-267890-j64x6f5r 383 7 f f LS cord-267890-j64x6f5r 383 8 immune immune JJ cord-267890-j64x6f5r 383 9 Fraction fraction NN cord-267890-j64x6f5r 383 10 of of IN cord-267890-j64x6f5r 383 11 recovered recovered JJ cord-267890-j64x6f5r 383 12 population population NN cord-267890-j64x6f5r 383 13 that that WDT cord-267890-j64x6f5r 383 14 gains gain VBZ cord-267890-j64x6f5r 383 15 permanent permanent JJ cord-267890-j64x6f5r 383 16 immunity immunity NN cord-267890-j64x6f5r 383 17 to to TO cord-267890-j64x6f5r 383 18 re re VB cord-267890-j64x6f5r 383 19 - - NN cord-267890-j64x6f5r 383 20 infection infection NN cord-267890-j64x6f5r 383 21 0.9 0.9 CD cord-267890-j64x6f5r 383 22 t t NN cord-267890-j64x6f5r 383 23 resuscept resuscept NNP cord-267890-j64x6f5r 383 24 Time Time NNP cord-267890-j64x6f5r 383 25 to to TO cord-267890-j64x6f5r 383 26 re re VB cord-267890-j64x6f5r 383 27 - - VB cord-267890-j64x6f5r 383 28 enter enter VB cord-267890-j64x6f5r 383 29 the the DT cord-267890-j64x6f5r 383 30 susceptible susceptible JJ cord-267890-j64x6f5r 383 31 population population NN cord-267890-j64x6f5r 383 32 , , , cord-267890-j64x6f5r 383 33 for for IN cord-267890-j64x6f5r 383 34 those those DT cord-267890-j64x6f5r 383 35 recovered recover VBN cord-267890-j64x6f5r 383 36 who who WP cord-267890-j64x6f5r 383 37 do do VBP cord-267890-j64x6f5r 383 38 not not RB cord-267890-j64x6f5r 383 39 gain gain VB cord-267890-j64x6f5r 383 40 immunity immunity NN cord-267890-j64x6f5r 383 41 The the DT cord-267890-j64x6f5r 383 42 property property NN cord-267890-j64x6f5r 383 43 that that WDT cord-267890-j64x6f5r 383 44 a a DT cord-267890-j64x6f5r 383 45 detected detected JJ cord-267890-j64x6f5r 383 46 case case NN cord-267890-j64x6f5r 383 47 is be VBZ cord-267890-j64x6f5r 383 48 likely likely JJ cord-267890-j64x6f5r 383 49 to to TO cord-267890-j64x6f5r 383 50 transmit transmit VB cord-267890-j64x6f5r 383 51 less less JJR cord-267890-j64x6f5r 383 52 , , , cord-267890-j64x6f5r 383 53 via via IN cord-267890-j64x6f5r 383 54 successful successful JJ cord-267890-j64x6f5r 383 55 quarantine quarantine NN cord-267890-j64x6f5r 383 56 ) ) -RRB- cord-267890-j64x6f5r 384 1 Detection detection NN cord-267890-j64x6f5r 384 2 probability probability NN cord-267890-j64x6f5r 384 3 of of IN cord-267890-j64x6f5r 384 4 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 384 5 cases case NNS cord-267890-j64x6f5r 384 6 0.0 0.0 CD cord-267890-j64x6f5r 384 7 f f NNP cord-267890-j64x6f5r 384 8 sympt sympt NNP cord-267890-j64x6f5r 384 9 Fraction fraction NN cord-267890-j64x6f5r 384 10 of of IN cord-267890-j64x6f5r 384 11 positive positive JJ cord-267890-j64x6f5r 384 12 cases case NNS cord-267890-j64x6f5r 384 13 that that WDT cord-267890-j64x6f5r 384 14 produce produce VBP cord-267890-j64x6f5r 384 15 symptoms symptom NNS cord-267890-j64x6f5r 384 16 0.5 0.5 CD cord-267890-j64x6f5r 385 1 [ [ -LRB- cord-267890-j64x6f5r 385 2 _SP cord-267890-j64x6f5r 385 3 The the DT cord-267890-j64x6f5r 385 4 unknown unknown JJ cord-267890-j64x6f5r 385 5 parameters parameter NNS cord-267890-j64x6f5r 385 6 assumed assume VBN cord-267890-j64x6f5r 385 7 to to TO cord-267890-j64x6f5r 385 8 be be VB cord-267890-j64x6f5r 385 9 time time NN cord-267890-j64x6f5r 385 10 - - HYPH cord-267890-j64x6f5r 385 11 varying varying NN cord-267890-j64x6f5r 385 12 are be VBP cord-267890-j64x6f5r 385 13 the the DT cord-267890-j64x6f5r 385 14 transmission transmission NN cord-267890-j64x6f5r 385 15 rate rate NN cord-267890-j64x6f5r 385 16 K K NNP cord-267890-j64x6f5r 385 17 i i NNP cord-267890-j64x6f5r 385 18 , , , cord-267890-j64x6f5r 385 19 and and CC cord-267890-j64x6f5r 385 20 the the DT cord-267890-j64x6f5r 385 21 detection detection NN cord-267890-j64x6f5r 385 22 probabilities probability NNS cord-267890-j64x6f5r 385 23 d d NNP cord-267890-j64x6f5r 385 24 Sym Sym NNP cord-267890-j64x6f5r 385 25 and and CC cord-267890-j64x6f5r 385 26 d d NNP cord-267890-j64x6f5r 385 27 Sys Sys NNP cord-267890-j64x6f5r 385 28 for for IN cord-267890-j64x6f5r 385 29 mild mild JJ cord-267890-j64x6f5r 385 30 and and CC cord-267890-j64x6f5r 385 31 severe severe JJ cord-267890-j64x6f5r 385 32 symptomatic symptomatic JJ cord-267890-j64x6f5r 385 33 cases case NNS cord-267890-j64x6f5r 385 34 , , , cord-267890-j64x6f5r 385 35 respectively respectively RB cord-267890-j64x6f5r 385 36 . . . cord-267890-j64x6f5r 386 1 The the DT cord-267890-j64x6f5r 386 2 transmission transmission NN cord-267890-j64x6f5r 386 3 rate rate NN cord-267890-j64x6f5r 386 4 in in IN cord-267890-j64x6f5r 386 5 a a DT cord-267890-j64x6f5r 386 6 given give VBN cord-267890-j64x6f5r 386 7 population population NN cord-267890-j64x6f5r 386 8 for for IN cord-267890-j64x6f5r 386 9 a a DT cord-267890-j64x6f5r 386 10 given give VBN cord-267890-j64x6f5r 386 11 infectious infectious JJ cord-267890-j64x6f5r 386 12 disease disease NN cord-267890-j64x6f5r 386 13 is be VBZ cord-267890-j64x6f5r 386 14 measured measure VBN cord-267890-j64x6f5r 386 15 in in IN cord-267890-j64x6f5r 386 16 effective effective JJ cord-267890-j64x6f5r 386 17 contacts contact NNS cord-267890-j64x6f5r 386 18 per per IN cord-267890-j64x6f5r 386 19 unit unit NN cord-267890-j64x6f5r 386 20 time time NN cord-267890-j64x6f5r 386 21 . . . cord-267890-j64x6f5r 387 1 This this DT cord-267890-j64x6f5r 387 2 may may MD cord-267890-j64x6f5r 387 3 be be VB cord-267890-j64x6f5r 387 4 expressed express VBN cord-267890-j64x6f5r 387 5 as as IN cord-267890-j64x6f5r 387 6 the the DT cord-267890-j64x6f5r 387 7 total total JJ cord-267890-j64x6f5r 387 8 contact contact NN cord-267890-j64x6f5r 387 9 rate rate NN cord-267890-j64x6f5r 387 10 ( ( -LRB- cord-267890-j64x6f5r 387 11 the the DT cord-267890-j64x6f5r 387 12 total total JJ cord-267890-j64x6f5r 387 13 number number NN cord-267890-j64x6f5r 387 14 of of IN cord-267890-j64x6f5r 387 15 contacts contact NNS cord-267890-j64x6f5r 387 16 , , , cord-267890-j64x6f5r 387 17 effective effective JJ cord-267890-j64x6f5r 387 18 or or CC cord-267890-j64x6f5r 387 19 not not RB cord-267890-j64x6f5r 387 20 , , , cord-267890-j64x6f5r 387 21 per per IN cord-267890-j64x6f5r 387 22 unit unit NN cord-267890-j64x6f5r 387 23 time time NN cord-267890-j64x6f5r 387 24 ) ) -RRB- cord-267890-j64x6f5r 387 25 , , , cord-267890-j64x6f5r 387 26 multiplied multiply VBN cord-267890-j64x6f5r 387 27 by by IN cord-267890-j64x6f5r 387 28 the the DT cord-267890-j64x6f5r 387 29 risk risk NN cord-267890-j64x6f5r 387 30 of of IN cord-267890-j64x6f5r 387 31 infection infection NN cord-267890-j64x6f5r 387 32 , , , cord-267890-j64x6f5r 387 33 given give VBN cord-267890-j64x6f5r 387 34 contact contact NN cord-267890-j64x6f5r 387 35 between between IN cord-267890-j64x6f5r 387 36 an an DT cord-267890-j64x6f5r 387 37 infectious infectious JJ cord-267890-j64x6f5r 387 38 and and CC cord-267890-j64x6f5r 387 39 a a DT cord-267890-j64x6f5r 387 40 susceptible susceptible JJ cord-267890-j64x6f5r 387 41 individual individual NN cord-267890-j64x6f5r 387 42 . . . cord-267890-j64x6f5r 388 1 The the DT cord-267890-j64x6f5r 388 2 total total JJ cord-267890-j64x6f5r 388 3 contact contact NN cord-267890-j64x6f5r 388 4 rate rate NN cord-267890-j64x6f5r 388 5 can can MD cord-267890-j64x6f5r 388 6 be be VB cord-267890-j64x6f5r 388 7 impacted impact VBN cord-267890-j64x6f5r 388 8 by by IN cord-267890-j64x6f5r 388 9 social social JJ cord-267890-j64x6f5r 388 10 behavior behavior NN cord-267890-j64x6f5r 388 11 . . . cord-267890-j64x6f5r 389 1 In in IN cord-267890-j64x6f5r 389 2 this this DT cord-267890-j64x6f5r 389 3 first first JJ cord-267890-j64x6f5r 389 4 employment employment NN cord-267890-j64x6f5r 389 5 of of IN cord-267890-j64x6f5r 389 6 SDA SDA NNP cord-267890-j64x6f5r 389 7 upon upon IN cord-267890-j64x6f5r 389 8 a a DT cord-267890-j64x6f5r 389 9 pandemic pandemic JJ cord-267890-j64x6f5r 389 10 model model NN cord-267890-j64x6f5r 389 11 of of IN cord-267890-j64x6f5r 389 12 such such JJ cord-267890-j64x6f5r 389 13 high high JJ cord-267890-j64x6f5r 389 14 dimensionality dimensionality NN cord-267890-j64x6f5r 389 15 , , , cord-267890-j64x6f5r 389 16 we -PRON- PRP cord-267890-j64x6f5r 389 17 chose choose VBD cord-267890-j64x6f5r 389 18 to to TO cord-267890-j64x6f5r 389 19 represent represent VB cord-267890-j64x6f5r 389 20 K K NNP cord-267890-j64x6f5r 389 21 i i PRP cord-267890-j64x6f5r 389 22 as as IN cord-267890-j64x6f5r 389 23 a a DT cord-267890-j64x6f5r 389 24 relatively relatively RB cord-267890-j64x6f5r 389 25 constant constant JJ cord-267890-j64x6f5r 389 26 value value NN cord-267890-j64x6f5r 389 27 that that WDT cord-267890-j64x6f5r 389 28 undergoes undergo VBZ cord-267890-j64x6f5r 389 29 one one CD cord-267890-j64x6f5r 389 30 rapid rapid JJ cord-267890-j64x6f5r 389 31 transition transition NN cord-267890-j64x6f5r 389 32 corresponding correspond VBG cord-267890-j64x6f5r 389 33 to to IN cord-267890-j64x6f5r 389 34 a a DT cord-267890-j64x6f5r 389 35 single single JJ cord-267890-j64x6f5r 389 36 social social JJ cord-267890-j64x6f5r 389 37 distancing distancing NN cord-267890-j64x6f5r 389 38 mandate mandate NN cord-267890-j64x6f5r 389 39 . . . cord-267890-j64x6f5r 390 1 As as IN cord-267890-j64x6f5r 390 2 noted note VBN cord-267890-j64x6f5r 390 3 in in IN cord-267890-j64x6f5r 390 4 Experiments experiment NNS cord-267890-j64x6f5r 390 5 , , , cord-267890-j64x6f5r 390 6 social social JJ cord-267890-j64x6f5r 390 7 distancing distancing NN cord-267890-j64x6f5r 390 8 rules rule NNS cord-267890-j64x6f5r 390 9 were be VBD cord-267890-j64x6f5r 390 10 imposed impose VBN cord-267890-j64x6f5r 390 11 in in IN cord-267890-j64x6f5r 390 12 New New NNP cord-267890-j64x6f5r 390 13 York York NNP cord-267890-j64x6f5r 390 14 City City NNP cord-267890-j64x6f5r 390 15 roughly roughly RB cord-267890-j64x6f5r 390 16 25 25 CD cord-267890-j64x6f5r 390 17 days day NNS cord-267890-j64x6f5r 390 18 following follow VBG cord-267890-j64x6f5r 390 19 the the DT cord-267890-j64x6f5r 390 20 first first JJ cord-267890-j64x6f5r 390 21 reported report VBN cord-267890-j64x6f5r 390 22 case case NN cord-267890-j64x6f5r 390 23 . . . cord-267890-j64x6f5r 391 1 We -PRON- PRP cord-267890-j64x6f5r 391 2 thus thus RB cord-267890-j64x6f5r 391 3 chose choose VBD cord-267890-j64x6f5r 391 4 K K NNP cord-267890-j64x6f5r 391 5 i i PRP cord-267890-j64x6f5r 391 6 to to TO cord-267890-j64x6f5r 391 7 transition transition VB cord-267890-j64x6f5r 391 8 between between IN cord-267890-j64x6f5r 391 9 two two CD cord-267890-j64x6f5r 391 10 relatively relatively RB cord-267890-j64x6f5r 391 11 constant constant JJ cord-267890-j64x6f5r 391 12 levels level NNS cord-267890-j64x6f5r 391 13 , , , cord-267890-j64x6f5r 391 14 roughly roughly RB cord-267890-j64x6f5r 391 15 25 25 CD cord-267890-j64x6f5r 391 16 days day NNS cord-267890-j64x6f5r 391 17 following follow VBG cord-267890-j64x6f5r 391 18 time time NN cord-267890-j64x6f5r 391 19 t t NN cord-267890-j64x6f5r 391 20 0 0 CD cord-267890-j64x6f5r 391 21 . . . cord-267890-j64x6f5r 392 1 Specifically specifically RB cord-267890-j64x6f5r 392 2 , , , cord-267890-j64x6f5r 392 3 we -PRON- PRP cord-267890-j64x6f5r 392 4 wrote write VBD cord-267890-j64x6f5r 392 5 K K NNP cord-267890-j64x6f5r 392 6 i i PRP cord-267890-j64x6f5r 392 7 ( ( -LRB- cord-267890-j64x6f5r 392 8 t t NN cord-267890-j64x6f5r 392 9 ) ) -RRB- cord-267890-j64x6f5r 392 10 as as IN cord-267890-j64x6f5r 392 11 : : : cord-267890-j64x6f5r 392 12 The the DT cord-267890-j64x6f5r 392 13 parameter parameter NN cord-267890-j64x6f5r 392 14 T t NN cord-267890-j64x6f5r 392 15 was be VBD cord-267890-j64x6f5r 392 16 set set VBN cord-267890-j64x6f5r 392 17 to to IN cord-267890-j64x6f5r 392 18 25 25 CD cord-267890-j64x6f5r 392 19 , , , cord-267890-j64x6f5r 392 20 beginning begin VBG cord-267890-j64x6f5r 392 21 four four CD cord-267890-j64x6f5r 392 22 days day NNS cord-267890-j64x6f5r 392 23 prior prior RB cord-267890-j64x6f5r 392 24 to to IN cord-267890-j64x6f5r 392 25 the the DT cord-267890-j64x6f5r 392 26 first first JJ cord-267890-j64x6f5r 392 27 report report NN cord-267890-j64x6f5r 392 28 of of IN cord-267890-j64x6f5r 392 29 a a DT cord-267890-j64x6f5r 392 30 detection detection NN cord-267890-j64x6f5r 392 31 in in IN cord-267890-j64x6f5r 392 32 NYC NYC NNP cord-267890-j64x6f5r 392 33 [ [ -LRB- cord-267890-j64x6f5r 392 34 35 35 CD cord-267890-j64x6f5r 392 35 ] ] -RRB- cord-267890-j64x6f5r 392 36 to to IN cord-267890-j64x6f5r 392 37 the the DT cord-267890-j64x6f5r 392 38 imposition imposition NN cord-267890-j64x6f5r 392 39 of of IN cord-267890-j64x6f5r 392 40 a a DT cord-267890-j64x6f5r 392 41 stay stay VB cord-267890-j64x6f5r 392 42 - - HYPH cord-267890-j64x6f5r 392 43 home home NN cord-267890-j64x6f5r 392 44 order order NN cord-267890-j64x6f5r 392 45 in in IN cord-267890-j64x6f5r 392 46 NYC NYC NNP cord-267890-j64x6f5r 392 47 on on IN cord-267890-j64x6f5r 392 48 March March NNP cord-267890-j64x6f5r 392 49 22 22 CD cord-267890-j64x6f5r 392 50 [ [ -LRB- cord-267890-j64x6f5r 392 51 39 39 CD cord-267890-j64x6f5r 392 52 ] ] -RRB- cord-267890-j64x6f5r 392 53 . . . cord-267890-j64x6f5r 393 1 The the DT cord-267890-j64x6f5r 393 2 parameter parameter NN cord-267890-j64x6f5r 393 3 s s NN cord-267890-j64x6f5r 393 4 governs govern VBZ cord-267890-j64x6f5r 393 5 the the DT cord-267890-j64x6f5r 393 6 steepness steepness NN cord-267890-j64x6f5r 393 7 of of IN cord-267890-j64x6f5r 393 8 the the DT cord-267890-j64x6f5r 393 9 transformation transformation NN cord-267890-j64x6f5r 393 10 , , , cord-267890-j64x6f5r 393 11 and and CC cord-267890-j64x6f5r 393 12 16 16 CD cord-267890-j64x6f5r 393 13 . . . cord-267890-j64x6f5r 394 1 CC CC NNP cord-267890-j64x6f5r 394 2 - - HYPH cord-267890-j64x6f5r 394 3 BY BY NNP cord-267890-j64x6f5r 394 4 - - HYPH cord-267890-j64x6f5r 394 5 NC NC NNP cord-267890-j64x6f5r 394 6 - - HYPH cord-267890-j64x6f5r 394 7 ND ND NNP cord-267890-j64x6f5r 394 8 4.0 4.0 CD cord-267890-j64x6f5r 394 9 International international JJ cord-267890-j64x6f5r 394 10 license license NN cord-267890-j64x6f5r 395 1 It -PRON- PRP cord-267890-j64x6f5r 395 2 is be VBZ cord-267890-j64x6f5r 395 3 made make VBN cord-267890-j64x6f5r 395 4 available available JJ cord-267890-j64x6f5r 395 5 under under IN cord-267890-j64x6f5r 395 6 a a DT cord-267890-j64x6f5r 396 1 is be VBZ cord-267890-j64x6f5r 396 2 the the DT cord-267890-j64x6f5r 396 3 author author NN cord-267890-j64x6f5r 396 4 / / SYM cord-267890-j64x6f5r 396 5 funder funder NN cord-267890-j64x6f5r 396 6 , , , cord-267890-j64x6f5r 396 7 who who WP cord-267890-j64x6f5r 396 8 has have VBZ cord-267890-j64x6f5r 396 9 granted grant VBN cord-267890-j64x6f5r 396 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 396 11 a a DT cord-267890-j64x6f5r 396 12 license license NN cord-267890-j64x6f5r 396 13 to to TO cord-267890-j64x6f5r 396 14 display display VB cord-267890-j64x6f5r 396 15 the the DT cord-267890-j64x6f5r 396 16 preprint preprint NN cord-267890-j64x6f5r 396 17 in in IN cord-267890-j64x6f5r 396 18 perpetuity perpetuity NN cord-267890-j64x6f5r 396 19 . . . cord-267890-j64x6f5r 397 1 ( ( -LRB- cord-267890-j64x6f5r 397 2 which which WDT cord-267890-j64x6f5r 397 3 was be VBD cord-267890-j64x6f5r 397 4 not not RB cord-267890-j64x6f5r 397 5 certified certify VBN cord-267890-j64x6f5r 397 6 by by IN cord-267890-j64x6f5r 397 7 peer peer NN cord-267890-j64x6f5r 397 8 review review NN cord-267890-j64x6f5r 397 9 ) ) -RRB- cord-267890-j64x6f5r 398 1 The the DT cord-267890-j64x6f5r 398 2 copyright copyright NN cord-267890-j64x6f5r 398 3 holder holder NN cord-267890-j64x6f5r 398 4 for for IN cord-267890-j64x6f5r 398 5 this this DT cord-267890-j64x6f5r 398 6 preprint preprint NN cord-267890-j64x6f5r 398 7 this this DT cord-267890-j64x6f5r 398 8 version version NN cord-267890-j64x6f5r 398 9 posted post VBN cord-267890-j64x6f5r 398 10 May May NNP cord-267890-j64x6f5r 398 11 29 29 CD cord-267890-j64x6f5r 398 12 , , , cord-267890-j64x6f5r 398 13 2020 2020 CD cord-267890-j64x6f5r 398 14 . . . cord-267890-j64x6f5r 398 15 . . . cord-267890-j64x6f5r 399 1 https://doi.org/10.1101/2020.05.27.20112987 https://doi.org/10.1101/2020.05.27.20112987 NNP cord-267890-j64x6f5r 399 2 doi doi NN cord-267890-j64x6f5r 399 3 : : : cord-267890-j64x6f5r 400 1 medRxiv medRxiv NNP cord-267890-j64x6f5r 400 2 preprint preprint NN cord-267890-j64x6f5r 400 3 was be VBD cord-267890-j64x6f5r 400 4 set set VBN cord-267890-j64x6f5r 400 5 to to IN cord-267890-j64x6f5r 400 6 10 10 CD cord-267890-j64x6f5r 400 7 . . . cord-267890-j64x6f5r 401 1 Parameters parameter NNS cord-267890-j64x6f5r 401 2 f f NNP cord-267890-j64x6f5r 401 3 and and CC cord-267890-j64x6f5r 401 4 ξ ξ NNS cord-267890-j64x6f5r 401 5 were be VBD cord-267890-j64x6f5r 401 6 then then RB cord-267890-j64x6f5r 401 7 adjusted adjust VBN cord-267890-j64x6f5r 401 8 to to IN cord-267890-j64x6f5r 401 9 1.2 1.2 CD cord-267890-j64x6f5r 401 10 and and CC cord-267890-j64x6f5r 401 11 1.5 1.5 CD cord-267890-j64x6f5r 401 12 , , , cord-267890-j64x6f5r 401 13 to to TO cord-267890-j64x6f5r 401 14 achieve achieve VB cord-267890-j64x6f5r 401 15 a a DT cord-267890-j64x6f5r 401 16 transition transition NN cord-267890-j64x6f5r 401 17 from from IN cord-267890-j64x6f5r 401 18 about about IN cord-267890-j64x6f5r 401 19 1.4 1.4 CD cord-267890-j64x6f5r 401 20 to to IN cord-267890-j64x6f5r 401 21 0.3 0.3 CD cord-267890-j64x6f5r 401 22 . . . cord-267890-j64x6f5r 402 1 For for IN cord-267890-j64x6f5r 402 2 detection detection NN cord-267890-j64x6f5r 402 3 probabilities probability NNS cord-267890-j64x6f5r 402 4 d d NN cord-267890-j64x6f5r 402 5 Sym Sym NNP cord-267890-j64x6f5r 402 6 and and CC cord-267890-j64x6f5r 402 7 d d NNP cord-267890-j64x6f5r 402 8 Sys Sys NNP cord-267890-j64x6f5r 402 9 , , , cord-267890-j64x6f5r 402 10 a a DT cord-267890-j64x6f5r 402 11 linear linear JJ cord-267890-j64x6f5r 402 12 and and CC cord-267890-j64x6f5r 402 13 quadratic quadratic JJ cord-267890-j64x6f5r 402 14 form form NN cord-267890-j64x6f5r 402 15 , , , cord-267890-j64x6f5r 402 16 respectively respectively RB cord-267890-j64x6f5r 402 17 , , , cord-267890-j64x6f5r 402 18 were be VBD cord-267890-j64x6f5r 402 19 chosen choose VBN cord-267890-j64x6f5r 402 20 to to TO cord-267890-j64x6f5r 402 21 preclude preclude VB cord-267890-j64x6f5r 402 22 symmetries symmetry NNS cord-267890-j64x6f5r 402 23 , , , cord-267890-j64x6f5r 402 24 and and CC cord-267890-j64x6f5r 402 25 both both DT cord-267890-j64x6f5r 402 26 were be VBD cord-267890-j64x6f5r 402 27 optimistically optimistically RB cord-267890-j64x6f5r 402 28 taken take VBN cord-267890-j64x6f5r 402 29 to to TO cord-267890-j64x6f5r 402 30 increase increase VB cord-267890-j64x6f5r 402 31 with with IN cord-267890-j64x6f5r 402 32 time time NN cord-267890-j64x6f5r 402 33 : : : cord-267890-j64x6f5r 403 1 dSym(t dSym(t NNP cord-267890-j64x6f5r 403 2 ) ) -RRB- cord-267890-j64x6f5r 403 3 = = SYM cord-267890-j64x6f5r 403 4 0.2 0.2 CD cord-267890-j64x6f5r 403 5 · · NFP cord-267890-j64x6f5r 403 6 t t NNP cord-267890-j64x6f5r 403 7 dSys(t dSys(t NNP cord-267890-j64x6f5r 403 8 ) ) -RRB- cord-267890-j64x6f5r 404 1 = = NFP cord-267890-j64x6f5r 405 1 0.1 0.1 NFP cord-267890-j64x6f5r 405 2 · · NFP cord-267890-j64x6f5r 405 3 t t NN cord-267890-j64x6f5r 405 4 2 2 CD cord-267890-j64x6f5r 406 1 Finally finally RB cord-267890-j64x6f5r 406 2 , , , cord-267890-j64x6f5r 406 3 each each DT cord-267890-j64x6f5r 406 4 time time NN cord-267890-j64x6f5r 406 5 series series NN cord-267890-j64x6f5r 406 6 was be VBD cord-267890-j64x6f5r 406 7 normalized normalize VBN cord-267890-j64x6f5r 406 8 to to IN cord-267890-j64x6f5r 406 9 the the DT cord-267890-j64x6f5r 406 10 range range NN cord-267890-j64x6f5r 406 11 : : : cord-267890-j64x6f5r 406 12 [ [ -LRB- cord-267890-j64x6f5r 406 13 0:1 0:1 NNP cord-267890-j64x6f5r 406 14 ] ] -RRB- cord-267890-j64x6f5r 406 15 , , , cord-267890-j64x6f5r 406 16 via via IN cord-267890-j64x6f5r 406 17 division division NN cord-267890-j64x6f5r 406 18 by by IN cord-267890-j64x6f5r 406 19 their -PRON- PRP$ cord-267890-j64x6f5r 406 20 respective respective JJ cord-267890-j64x6f5r 406 21 maximum maximum JJ cord-267890-j64x6f5r 406 22 values value NNS cord-267890-j64x6f5r 406 23 . . . cord-267890-j64x6f5r 407 1 The the DT cord-267890-j64x6f5r 407 2 simulated simulated JJ cord-267890-j64x6f5r 407 3 data datum NNS cord-267890-j64x6f5r 407 4 were be VBD cord-267890-j64x6f5r 407 5 generated generate VBN cord-267890-j64x6f5r 407 6 by by IN cord-267890-j64x6f5r 407 7 integrating integrate VBG cord-267890-j64x6f5r 407 8 the the DT cord-267890-j64x6f5r 407 9 reaction reaction NN cord-267890-j64x6f5r 407 10 equations equation NNS cord-267890-j64x6f5r 407 11 ( ( -LRB- cord-267890-j64x6f5r 407 12 Appendix Appendix NNP cord-267890-j64x6f5r 407 13 A A NNP cord-267890-j64x6f5r 407 14 ) ) -RRB- cord-267890-j64x6f5r 407 15 via via IN cord-267890-j64x6f5r 407 16 a a DT cord-267890-j64x6f5r 407 17 fourth fourth JJ cord-267890-j64x6f5r 407 18 - - HYPH cord-267890-j64x6f5r 407 19 order order NN cord-267890-j64x6f5r 407 20 adaptive adaptive JJ cord-267890-j64x6f5r 407 21 Runge Runge NNP cord-267890-j64x6f5r 407 22 - - HYPH cord-267890-j64x6f5r 407 23 Kutta Kutta NNP cord-267890-j64x6f5r 407 24 method method NN cord-267890-j64x6f5r 407 25 encoded encode VBN cord-267890-j64x6f5r 407 26 in in IN cord-267890-j64x6f5r 407 27 the the DT cord-267890-j64x6f5r 407 28 Python Python NNP cord-267890-j64x6f5r 407 29 package package NN cord-267890-j64x6f5r 407 30 odeINT odeint RB cord-267890-j64x6f5r 407 31 . . . cord-267890-j64x6f5r 408 1 A a DT cord-267890-j64x6f5r 408 2 step step NN cord-267890-j64x6f5r 408 3 size size NN cord-267890-j64x6f5r 408 4 of of IN cord-267890-j64x6f5r 408 5 one one CD cord-267890-j64x6f5r 408 6 ( ( -LRB- cord-267890-j64x6f5r 408 7 day day NN cord-267890-j64x6f5r 408 8 ) ) -RRB- cord-267890-j64x6f5r 408 9 was be VBD cord-267890-j64x6f5r 408 10 used use VBN cord-267890-j64x6f5r 408 11 to to TO cord-267890-j64x6f5r 408 12 record record VB cord-267890-j64x6f5r 408 13 the the DT cord-267890-j64x6f5r 408 14 output output NN cord-267890-j64x6f5r 408 15 . . . cord-267890-j64x6f5r 409 1 Except except IN cord-267890-j64x6f5r 409 2 for for IN cord-267890-j64x6f5r 409 3 the the DT cord-267890-j64x6f5r 409 4 one one CD cord-267890-j64x6f5r 409 5 instance instance NN cord-267890-j64x6f5r 409 6 noted note VBN cord-267890-j64x6f5r 409 7 in in IN cord-267890-j64x6f5r 409 8 Results result NNS cord-267890-j64x6f5r 409 9 regarding regard VBG cord-267890-j64x6f5r 410 1 Experiment experiment NN cord-267890-j64x6f5r 410 2 i i PRP cord-267890-j64x6f5r 410 3 , , , cord-267890-j64x6f5r 410 4 we -PRON- PRP cord-267890-j64x6f5r 410 5 did do VBD cord-267890-j64x6f5r 410 6 not not RB cord-267890-j64x6f5r 410 7 examine examine VB cord-267890-j64x6f5r 410 8 the the DT cord-267890-j64x6f5r 410 9 sensitivity sensitivity NN cord-267890-j64x6f5r 410 10 of of IN cord-267890-j64x6f5r 410 11 estimations estimation NNS cord-267890-j64x6f5r 410 12 to to IN cord-267890-j64x6f5r 410 13 the the DT cord-267890-j64x6f5r 410 14 temporal temporal JJ cord-267890-j64x6f5r 410 15 sparsity sparsity NN cord-267890-j64x6f5r 410 16 of of IN cord-267890-j64x6f5r 410 17 measurements measurement NNS cord-267890-j64x6f5r 410 18 . . . cord-267890-j64x6f5r 411 1 The the DT cord-267890-j64x6f5r 411 2 initial initial JJ cord-267890-j64x6f5r 411 3 conditions condition NNS cord-267890-j64x6f5r 411 4 on on IN cord-267890-j64x6f5r 411 5 the the DT cord-267890-j64x6f5r 411 6 populations population NNS cord-267890-j64x6f5r 411 7 were be VBD cord-267890-j64x6f5r 411 8 : : : cord-267890-j64x6f5r 411 9 S s NN cord-267890-j64x6f5r 411 10 0 0 CD cord-267890-j64x6f5r 411 11 = = NFP cord-267890-j64x6f5r 412 1 N N NNP cord-267890-j64x6f5r 412 2 − − NN cord-267890-j64x6f5r 412 3 1 1 CD cord-267890-j64x6f5r 413 1 ( ( -LRB- cord-267890-j64x6f5r 413 2 where where WRB cord-267890-j64x6f5r 413 3 N N NNP cord-267890-j64x6f5r 413 4 is be VBZ cord-267890-j64x6f5r 413 5 the the DT cord-267890-j64x6f5r 413 6 total total JJ cord-267890-j64x6f5r 413 7 population population NN cord-267890-j64x6f5r 413 8 ) ) -RRB- cord-267890-j64x6f5r 413 9 , , . cord-267890-j64x6f5r 414 1 As as IN cord-267890-j64x6f5r 414 2 0 0 CD cord-267890-j64x6f5r 414 3 = = SYM cord-267890-j64x6f5r 414 4 1 1 CD cord-267890-j64x6f5r 414 5 , , , cord-267890-j64x6f5r 414 6 and and CC cord-267890-j64x6f5r 414 7 zero zero CD cord-267890-j64x6f5r 414 8 for for IN cord-267890-j64x6f5r 414 9 all all DT cord-267890-j64x6f5r 414 10 others other NNS cord-267890-j64x6f5r 414 11 . . . cord-267890-j64x6f5r 415 1 For for IN cord-267890-j64x6f5r 415 2 the the DT cord-267890-j64x6f5r 415 3 noise noise NN cord-267890-j64x6f5r 415 4 experiments experiment NNS cord-267890-j64x6f5r 415 5 , , , cord-267890-j64x6f5r 415 6 the the DT cord-267890-j64x6f5r 415 7 noise noise NN cord-267890-j64x6f5r 415 8 added add VBN cord-267890-j64x6f5r 415 9 to to IN cord-267890-j64x6f5r 415 10 the the DT cord-267890-j64x6f5r 415 11 simulated simulated JJ cord-267890-j64x6f5r 415 12 Sym sym NN cord-267890-j64x6f5r 415 13 det det NN cord-267890-j64x6f5r 415 14 , , , cord-267890-j64x6f5r 415 15 Sys Sys NNP cord-267890-j64x6f5r 415 16 det det NNP cord-267890-j64x6f5r 415 17 , , , cord-267890-j64x6f5r 415 18 and and CC cord-267890-j64x6f5r 415 19 R R NNP cord-267890-j64x6f5r 415 20 data datum NNS cord-267890-j64x6f5r 415 21 were be VBD cord-267890-j64x6f5r 415 22 generated generate VBN cord-267890-j64x6f5r 415 23 by by IN cord-267890-j64x6f5r 415 24 Python Python NNP cord-267890-j64x6f5r 415 25 's 's POS cord-267890-j64x6f5r 415 26 numpy.random.normal numpy.random.normal JJ cord-267890-j64x6f5r 415 27 package package NN cord-267890-j64x6f5r 415 28 , , , cord-267890-j64x6f5r 415 29 which which WDT cord-267890-j64x6f5r 415 30 defines define VBZ cord-267890-j64x6f5r 415 31 a a DT cord-267890-j64x6f5r 415 32 normal normal JJ cord-267890-j64x6f5r 415 33 distribution distribution NN cord-267890-j64x6f5r 415 34 of of IN cord-267890-j64x6f5r 415 35 noise noise NN cord-267890-j64x6f5r 415 36 . . . cord-267890-j64x6f5r 416 1 For for IN cord-267890-j64x6f5r 416 2 the the DT cord-267890-j64x6f5r 416 3 " " `` cord-267890-j64x6f5r 416 4 low low JJ cord-267890-j64x6f5r 416 5 - - HYPH cord-267890-j64x6f5r 416 6 noise noise NN cord-267890-j64x6f5r 416 7 " " '' cord-267890-j64x6f5r 416 8 experiments experiment NNS cord-267890-j64x6f5r 416 9 , , , cord-267890-j64x6f5r 416 10 we -PRON- PRP cord-267890-j64x6f5r 416 11 set set VBD cord-267890-j64x6f5r 416 12 the the DT cord-267890-j64x6f5r 416 13 standard standard JJ cord-267890-j64x6f5r 416 14 deviation deviation NN cord-267890-j64x6f5r 416 15 to to TO cord-267890-j64x6f5r 416 16 be be VB cord-267890-j64x6f5r 416 17 the the DT cord-267890-j64x6f5r 416 18 respective respective JJ cord-267890-j64x6f5r 416 19 mean mean NN cord-267890-j64x6f5r 416 20 of of IN cord-267890-j64x6f5r 416 21 each each DT cord-267890-j64x6f5r 416 22 distribution distribution NN cord-267890-j64x6f5r 416 23 , , , cord-267890-j64x6f5r 416 24 divided divide VBN cord-267890-j64x6f5r 416 25 by by IN cord-267890-j64x6f5r 416 26 100 100 CD cord-267890-j64x6f5r 416 27 . . . cord-267890-j64x6f5r 417 1 For for IN cord-267890-j64x6f5r 417 2 the the DT cord-267890-j64x6f5r 417 3 experiments experiment NNS cord-267890-j64x6f5r 417 4 using use VBG cord-267890-j64x6f5r 417 5 higher high JJR cord-267890-j64x6f5r 417 6 noise noise NN cord-267890-j64x6f5r 417 7 , , , cord-267890-j64x6f5r 417 8 we -PRON- PRP cord-267890-j64x6f5r 417 9 multiplied multiply VBD cord-267890-j64x6f5r 417 10 that that IN cord-267890-j64x6f5r 417 11 original original JJ cord-267890-j64x6f5r 417 12 level level NN cord-267890-j64x6f5r 417 13 by by IN cord-267890-j64x6f5r 417 14 a a DT cord-267890-j64x6f5r 417 15 factor factor NN cord-267890-j64x6f5r 417 16 of of IN cord-267890-j64x6f5r 417 17 ten ten CD cord-267890-j64x6f5r 417 18 . . . cord-267890-j64x6f5r 418 1 For for IN cord-267890-j64x6f5r 418 2 each each DT cord-267890-j64x6f5r 418 3 noisy noisy JJ cord-267890-j64x6f5r 418 4 data datum NNS cord-267890-j64x6f5r 418 5 set set VBN cord-267890-j64x6f5r 418 6 , , , cord-267890-j64x6f5r 418 7 the the DT cord-267890-j64x6f5r 418 8 absolute absolute JJ cord-267890-j64x6f5r 418 9 value value NN cord-267890-j64x6f5r 418 10 of of IN cord-267890-j64x6f5r 418 11 the the DT cord-267890-j64x6f5r 418 12 minimum minimum NN cord-267890-j64x6f5r 418 13 was be VBD cord-267890-j64x6f5r 418 14 then then RB cord-267890-j64x6f5r 418 15 added add VBN cord-267890-j64x6f5r 418 16 to to IN cord-267890-j64x6f5r 418 17 each each DT cord-267890-j64x6f5r 418 18 data data NN cord-267890-j64x6f5r 418 19 point point NN cord-267890-j64x6f5r 418 20 , , , cord-267890-j64x6f5r 418 21 so so IN cord-267890-j64x6f5r 418 22 that that IN cord-267890-j64x6f5r 418 23 the the DT cord-267890-j64x6f5r 418 24 population population NN cord-267890-j64x6f5r 418 25 did do VBD cord-267890-j64x6f5r 418 26 not not RB cord-267890-j64x6f5r 418 27 drop drop VB cord-267890-j64x6f5r 418 28 below below IN cord-267890-j64x6f5r 418 29 zero zero CD cord-267890-j64x6f5r 418 30 . . . cord-267890-j64x6f5r 419 1 The the DT cord-267890-j64x6f5r 419 2 optimization optimization NN cord-267890-j64x6f5r 419 3 was be VBD cord-267890-j64x6f5r 419 4 performed perform VBN cord-267890-j64x6f5r 419 5 via via IN cord-267890-j64x6f5r 419 6 the the DT cord-267890-j64x6f5r 419 7 open open JJ cord-267890-j64x6f5r 419 8 - - HYPH cord-267890-j64x6f5r 419 9 source source NN cord-267890-j64x6f5r 419 10 Interior Interior NNP cord-267890-j64x6f5r 419 11 - - HYPH cord-267890-j64x6f5r 419 12 point point NN cord-267890-j64x6f5r 419 13 Optimizer Optimizer NNP cord-267890-j64x6f5r 419 14 ( ( -LRB- cord-267890-j64x6f5r 419 15 Ipopt Ipopt NNP cord-267890-j64x6f5r 419 16 ) ) -RRB- cord-267890-j64x6f5r 419 17 [ [ -LRB- cord-267890-j64x6f5r 419 18 46 46 CD cord-267890-j64x6f5r 419 19 ] ] -RRB- cord-267890-j64x6f5r 419 20 . . . cord-267890-j64x6f5r 420 1 Ipopt Ipopt NNP cord-267890-j64x6f5r 420 2 uses use VBZ cord-267890-j64x6f5r 420 3 a a DT cord-267890-j64x6f5r 420 4 Simpson Simpson NNP cord-267890-j64x6f5r 420 5 's 's POS cord-267890-j64x6f5r 420 6 rule rule NN cord-267890-j64x6f5r 420 7 method method NN cord-267890-j64x6f5r 420 8 of of IN cord-267890-j64x6f5r 420 9 finite finite JJ cord-267890-j64x6f5r 420 10 differences difference NNS cord-267890-j64x6f5r 420 11 to to TO cord-267890-j64x6f5r 420 12 discretize discretize VB cord-267890-j64x6f5r 420 13 the the DT cord-267890-j64x6f5r 420 14 state state NN cord-267890-j64x6f5r 420 15 space space NN cord-267890-j64x6f5r 420 16 , , , cord-267890-j64x6f5r 420 17 a a DT cord-267890-j64x6f5r 420 18 Newton Newton NNP cord-267890-j64x6f5r 420 19 's 's POS cord-267890-j64x6f5r 420 20 method method NN cord-267890-j64x6f5r 420 21 to to TO cord-267890-j64x6f5r 420 22 search search VB cord-267890-j64x6f5r 420 23 , , , cord-267890-j64x6f5r 420 24 and and CC cord-267890-j64x6f5r 420 25 a a DT cord-267890-j64x6f5r 420 26 barrier barrier NN cord-267890-j64x6f5r 420 27 method method NN cord-267890-j64x6f5r 420 28 to to TO cord-267890-j64x6f5r 420 29 impose impose VB cord-267890-j64x6f5r 420 30 user user NN cord-267890-j64x6f5r 420 31 - - HYPH cord-267890-j64x6f5r 420 32 defined define VBN cord-267890-j64x6f5r 420 33 bounds bound NNS cord-267890-j64x6f5r 420 34 that that WDT cord-267890-j64x6f5r 420 35 are be VBP cord-267890-j64x6f5r 420 36 placed place VBN cord-267890-j64x6f5r 420 37 upon upon IN cord-267890-j64x6f5r 420 38 the the DT cord-267890-j64x6f5r 420 39 searches search NNS cord-267890-j64x6f5r 420 40 . . . cord-267890-j64x6f5r 421 1 We -PRON- PRP cord-267890-j64x6f5r 421 2 note note VBP cord-267890-j64x6f5r 421 3 that that IN cord-267890-j64x6f5r 421 4 Ipopt Ipopt NNP cord-267890-j64x6f5r 421 5 's 's POS cord-267890-j64x6f5r 421 6 search search NN cord-267890-j64x6f5r 421 7 algorithm algorithm NN cord-267890-j64x6f5r 421 8 treats treat VBZ cord-267890-j64x6f5r 421 9 state state NN cord-267890-j64x6f5r 421 10 variables variable NNS cord-267890-j64x6f5r 421 11 as as IN cord-267890-j64x6f5r 421 12 independent independent JJ cord-267890-j64x6f5r 421 13 quantities quantity NNS cord-267890-j64x6f5r 421 14 , , , cord-267890-j64x6f5r 421 15 which which WDT cord-267890-j64x6f5r 421 16 is be VBZ cord-267890-j64x6f5r 421 17 not not RB cord-267890-j64x6f5r 421 18 the the DT cord-267890-j64x6f5r 421 19 case case NN cord-267890-j64x6f5r 421 20 for for IN cord-267890-j64x6f5r 421 21 a a DT cord-267890-j64x6f5r 421 22 model model NN cord-267890-j64x6f5r 421 23 involving involve VBG cord-267890-j64x6f5r 421 24 a a DT cord-267890-j64x6f5r 421 25 closed closed JJ cord-267890-j64x6f5r 421 26 population population NN cord-267890-j64x6f5r 421 27 . . . cord-267890-j64x6f5r 422 1 This this DT cord-267890-j64x6f5r 422 2 feature feature NN cord-267890-j64x6f5r 422 3 did do VBD cord-267890-j64x6f5r 422 4 not not RB cord-267890-j64x6f5r 422 5 affect affect VB cord-267890-j64x6f5r 422 6 the the DT cord-267890-j64x6f5r 422 7 results result NNS cord-267890-j64x6f5r 422 8 of of IN cord-267890-j64x6f5r 422 9 this this DT cord-267890-j64x6f5r 422 10 paper paper NN cord-267890-j64x6f5r 422 11 . . . cord-267890-j64x6f5r 423 1 Those those DT cord-267890-j64x6f5r 423 2 interested interested JJ cord-267890-j64x6f5r 423 3 in in IN cord-267890-j64x6f5r 423 4 expanding expand VBG cord-267890-j64x6f5r 423 5 the the DT cord-267890-j64x6f5r 423 6 use use NN cord-267890-j64x6f5r 423 7 of of IN cord-267890-j64x6f5r 423 8 this this DT cord-267890-j64x6f5r 423 9 tool tool NN cord-267890-j64x6f5r 423 10 , , , cord-267890-j64x6f5r 423 11 however however RB cord-267890-j64x6f5r 423 12 , , , cord-267890-j64x6f5r 423 13 might may MD cord-267890-j64x6f5r 423 14 keep keep VB cord-267890-j64x6f5r 423 15 in in IN cord-267890-j64x6f5r 423 16 mind mind NN cord-267890-j64x6f5r 423 17 this this DT cord-267890-j64x6f5r 423 18 feature feature NN cord-267890-j64x6f5r 423 19 . . . cord-267890-j64x6f5r 424 1 One one PRP cord-267890-j64x6f5r 424 2 might may MD cord-267890-j64x6f5r 424 3 negate negate VB cord-267890-j64x6f5r 424 4 undesired undesired JJ cord-267890-j64x6f5r 424 5 effects effect NNS cord-267890-j64x6f5r 424 6 by by IN cord-267890-j64x6f5r 424 7 , , , cord-267890-j64x6f5r 424 8 for for IN cord-267890-j64x6f5r 424 9 example example NN cord-267890-j64x6f5r 424 10 , , , cord-267890-j64x6f5r 424 11 imposing impose VBG cord-267890-j64x6f5r 424 12 equality equality NN cord-267890-j64x6f5r 424 13 constraints constraint NNS cord-267890-j64x6f5r 424 14 into into IN cord-267890-j64x6f5r 424 15 the the DT cord-267890-j64x6f5r 424 16 cost cost NN cord-267890-j64x6f5r 424 17 function function NN cord-267890-j64x6f5r 424 18 that that WDT cord-267890-j64x6f5r 424 19 enforce enforce VBP cord-267890-j64x6f5r 424 20 the the DT cord-267890-j64x6f5r 424 21 conservation conservation NN cord-267890-j64x6f5r 424 22 of of IN cord-267890-j64x6f5r 424 23 N. N. NNP cord-267890-j64x6f5r 424 24 Within within IN cord-267890-j64x6f5r 424 25 the the DT cord-267890-j64x6f5r 424 26 annealing annealing NN cord-267890-j64x6f5r 424 27 procedure procedure NN cord-267890-j64x6f5r 424 28 described describe VBN cord-267890-j64x6f5r 424 29 in in IN cord-267890-j64x6f5r 424 30 Methods method NNS cord-267890-j64x6f5r 424 31 , , , cord-267890-j64x6f5r 424 32 the the DT cord-267890-j64x6f5r 424 33 parameter parameter NN cord-267890-j64x6f5r 424 34 α α NN cord-267890-j64x6f5r 424 35 was be VBD cord-267890-j64x6f5r 424 36 set set VBN cord-267890-j64x6f5r 424 37 to to IN cord-267890-j64x6f5r 424 38 2.0 2.0 CD cord-267890-j64x6f5r 424 39 , , , cord-267890-j64x6f5r 424 40 and and CC cord-267890-j64x6f5r 424 41 β β NN cord-267890-j64x6f5r 424 42 ran run VBD cord-267890-j64x6f5r 424 43 from from IN cord-267890-j64x6f5r 424 44 0 0 CD cord-267890-j64x6f5r 424 45 to to IN cord-267890-j64x6f5r 424 46 38 38 CD cord-267890-j64x6f5r 424 47 in in IN cord-267890-j64x6f5r 424 48 increments increment NNS cord-267890-j64x6f5r 424 49 of of IN cord-267890-j64x6f5r 424 50 1 1 CD cord-267890-j64x6f5r 424 51 . . . cord-267890-j64x6f5r 425 1 The the DT cord-267890-j64x6f5r 425 2 inverse inverse NN cord-267890-j64x6f5r 425 3 covariance covariance NN cord-267890-j64x6f5r 425 4 matrix matrix NN cord-267890-j64x6f5r 425 5 for for IN cord-267890-j64x6f5r 425 6 measurement measurement NN cord-267890-j64x6f5r 425 7 error error NN cord-267890-j64x6f5r 425 8 ( ( -LRB- cord-267890-j64x6f5r 425 9 R R NNP cord-267890-j64x6f5r 425 10 m m NN cord-267890-j64x6f5r 425 11 ) ) -RRB- cord-267890-j64x6f5r 425 12 was be VBD cord-267890-j64x6f5r 425 13 set set VBN cord-267890-j64x6f5r 425 14 to to IN cord-267890-j64x6f5r 425 15 1.0 1.0 CD cord-267890-j64x6f5r 425 16 , , , cord-267890-j64x6f5r 425 17 and and CC cord-267890-j64x6f5r 425 18 the the DT cord-267890-j64x6f5r 425 19 initial initial JJ cord-267890-j64x6f5r 425 20 value value NN cord-267890-j64x6f5r 425 21 of of IN cord-267890-j64x6f5r 425 22 the the DT cord-267890-j64x6f5r 425 23 inverse inverse NN cord-267890-j64x6f5r 425 24 covariance covariance NN cord-267890-j64x6f5r 425 25 matrix matrix NN cord-267890-j64x6f5r 425 26 for for IN cord-267890-j64x6f5r 425 27 model model NN cord-267890-j64x6f5r 425 28 error error NN cord-267890-j64x6f5r 425 29 ( ( -LRB- cord-267890-j64x6f5r 425 30 R r NN cord-267890-j64x6f5r 425 31 f f NN cord-267890-j64x6f5r 425 32 , , , cord-267890-j64x6f5r 425 33 0 0 CD cord-267890-j64x6f5r 425 34 ) ) -RRB- cord-267890-j64x6f5r 425 35 was be VBD cord-267890-j64x6f5r 425 36 set set VBN cord-267890-j64x6f5r 425 37 to to IN cord-267890-j64x6f5r 425 38 10 10 CD cord-267890-j64x6f5r 425 39 −7 −7 NN cord-267890-j64x6f5r 425 40 . . . cord-267890-j64x6f5r 426 1 For for IN cord-267890-j64x6f5r 426 2 each each DT cord-267890-j64x6f5r 426 3 of of IN cord-267890-j64x6f5r 426 4 the the DT cord-267890-j64x6f5r 426 5 five five CD cord-267890-j64x6f5r 426 6 simulated simulated JJ cord-267890-j64x6f5r 426 7 experiments experiment NNS cord-267890-j64x6f5r 426 8 , , , cord-267890-j64x6f5r 426 9 ten ten CD cord-267890-j64x6f5r 426 10 paths path NNS cord-267890-j64x6f5r 426 11 were be VBD cord-267890-j64x6f5r 426 12 searched search VBN cord-267890-j64x6f5r 426 13 , , , cord-267890-j64x6f5r 426 14 beginning begin VBG cord-267890-j64x6f5r 426 15 at at IN cord-267890-j64x6f5r 426 16 randomly randomly RB cord-267890-j64x6f5r 426 17 - - HYPH cord-267890-j64x6f5r 426 18 generated generate VBN cord-267890-j64x6f5r 426 19 initial initial JJ cord-267890-j64x6f5r 426 20 conditions condition NNS cord-267890-j64x6f5r 426 21 for for IN cord-267890-j64x6f5r 426 22 parameters parameter NNS cord-267890-j64x6f5r 426 23 and and CC cord-267890-j64x6f5r 426 24 state state NN cord-267890-j64x6f5r 426 25 variables variable NNS cord-267890-j64x6f5r 426 26 . . . cord-267890-j64x6f5r 427 1 For for IN cord-267890-j64x6f5r 427 2 the the DT cord-267890-j64x6f5r 427 3 Italy Italy NNP cord-267890-j64x6f5r 427 4 data datum NNS cord-267890-j64x6f5r 427 5 , , , cord-267890-j64x6f5r 427 6 fifty fifty CD cord-267890-j64x6f5r 427 7 paths path NNS cord-267890-j64x6f5r 427 8 were be VBD cord-267890-j64x6f5r 427 9 searched search VBN cord-267890-j64x6f5r 427 10 . . . cord-267890-j64x6f5r 428 1 All all DT cord-267890-j64x6f5r 428 2 simulations simulation NNS cord-267890-j64x6f5r 428 3 were be VBD cord-267890-j64x6f5r 428 4 run run VBN cord-267890-j64x6f5r 428 5 on on IN cord-267890-j64x6f5r 428 6 a a DT cord-267890-j64x6f5r 428 7 720-core 720-core CD cord-267890-j64x6f5r 428 8 , , , cord-267890-j64x6f5r 428 9 1440-GB 1440-gb CD cord-267890-j64x6f5r 428 10 , , , cord-267890-j64x6f5r 428 11 64-bit 64-bit CD cord-267890-j64x6f5r 428 12 CPU cpu NN cord-267890-j64x6f5r 428 13 cluster cluster NN cord-267890-j64x6f5r 428 14 . . . cord-267890-j64x6f5r 428 15 . . . cord-267890-j64x6f5r 429 1 CC CC NNP cord-267890-j64x6f5r 429 2 - - HYPH cord-267890-j64x6f5r 429 3 BY BY NNP cord-267890-j64x6f5r 429 4 - - HYPH cord-267890-j64x6f5r 429 5 NC NC NNP cord-267890-j64x6f5r 429 6 - - HYPH cord-267890-j64x6f5r 429 7 ND ND NNP cord-267890-j64x6f5r 429 8 4.0 4.0 CD cord-267890-j64x6f5r 429 9 International international JJ cord-267890-j64x6f5r 429 10 license license NN cord-267890-j64x6f5r 430 1 It -PRON- PRP cord-267890-j64x6f5r 430 2 is be VBZ cord-267890-j64x6f5r 430 3 made make VBN cord-267890-j64x6f5r 430 4 available available JJ cord-267890-j64x6f5r 430 5 under under IN cord-267890-j64x6f5r 430 6 a a DT cord-267890-j64x6f5r 431 1 is be VBZ cord-267890-j64x6f5r 431 2 the the DT cord-267890-j64x6f5r 431 3 author author NN cord-267890-j64x6f5r 431 4 / / SYM cord-267890-j64x6f5r 431 5 funder funder NN cord-267890-j64x6f5r 431 6 , , , cord-267890-j64x6f5r 431 7 who who WP cord-267890-j64x6f5r 431 8 has have VBZ cord-267890-j64x6f5r 431 9 granted grant VBN cord-267890-j64x6f5r 431 10 medRxiv medRxiv NNS cord-267890-j64x6f5r 431 11 a a DT cord-267890-j64x6f5r 431 12 license license NN cord-267890-j64x6f5r 431 13 to to TO cord-267890-j64x6f5r 431 14 display display VB cord-267890-j64x6f5r 431 15 the the DT cord-267890-j64x6f5r 431 16 preprint preprint NN cord-267890-j64x6f5r 431 17 in in IN cord-267890-j64x6f5r 431 18 perpetuity perpetuity NN cord-267890-j64x6f5r 431 19 . . . cord-267890-j64x6f5r 432 1 ( ( -LRB- cord-267890-j64x6f5r 432 2 which which WDT cord-267890-j64x6f5r 432 3 was be VBD cord-267890-j64x6f5r 432 4 not not RB cord-267890-j64x6f5r 432 5 certified certify VBN cord-267890-j64x6f5r 432 6 by by IN cord-267890-j64x6f5r 432 7 peer peer NN cord-267890-j64x6f5r 432 8 review review NN cord-267890-j64x6f5r 432 9 ) ) -RRB- cord-267890-j64x6f5r 433 1 The the DT cord-267890-j64x6f5r 433 2 copyright copyright NN cord-267890-j64x6f5r 433 3 holder holder NN cord-267890-j64x6f5r 433 4 for for IN cord-267890-j64x6f5r 433 5 this this DT cord-267890-j64x6f5r 433 6 preprint preprint NN cord-267890-j64x6f5r 433 7 this this DT cord-267890-j64x6f5r 433 8 version version NN cord-267890-j64x6f5r 433 9 posted post VBN cord-267890-j64x6f5r 433 10 May May NNP cord-267890-j64x6f5r 433 11 29 29 CD cord-267890-j64x6f5r 433 12 , , , cord-267890-j64x6f5r 433 13 2020 2020 CD cord-267890-j64x6f5r 433 14 . . . cord-267890-j64x6f5r 433 15 . . . cord-267890-j64x6f5r 434 1 https://doi.org/10.1101/2020.05.27.20112987 https://doi.org/10.1101/2020.05.27.20112987 NNP cord-267890-j64x6f5r 434 2 doi doi NN cord-267890-j64x6f5r 434 3 : : : cord-267890-j64x6f5r 435 1 medRxiv medRxiv NNP cord-267890-j64x6f5r 435 2 preprint preprint NNP cord-267890-j64x6f5r 436 1 The the DT cord-267890-j64x6f5r 436 2 need need NN cord-267890-j64x6f5r 436 3 for for IN cord-267890-j64x6f5r 436 4 data data NN cord-267890-j64x6f5r 436 5 innovation innovation NN cord-267890-j64x6f5r 436 6 in in IN cord-267890-j64x6f5r 436 7 the the DT cord-267890-j64x6f5r 436 8 time time NN cord-267890-j64x6f5r 436 9 of of IN cord-267890-j64x6f5r 436 10 covid-19 covid-19 NNP cord-267890-j64x6f5r 436 11 Estimating Estimating NNP cord-267890-j64x6f5r 436 12 the the DT cord-267890-j64x6f5r 436 13 early early JJ cord-267890-j64x6f5r 436 14 death death NN cord-267890-j64x6f5r 436 15 toll toll NN cord-267890-j64x6f5r 436 16 of of IN cord-267890-j64x6f5r 436 17 covid-19 covid-19 NNP cord-267890-j64x6f5r 436 18 in in IN cord-267890-j64x6f5r 436 19 the the DT cord-267890-j64x6f5r 436 20 united united NNP cord-267890-j64x6f5r 436 21 states states NNP cord-267890-j64x6f5r 436 22 Substantial substantial JJ cord-267890-j64x6f5r 436 23 undocumented undocumented JJ cord-267890-j64x6f5r 436 24 infection infection NN cord-267890-j64x6f5r 436 25 facilitates facilitate VBZ cord-267890-j64x6f5r 436 26 the the DT cord-267890-j64x6f5r 436 27 rapid rapid JJ cord-267890-j64x6f5r 436 28 dissemination dissemination NN cord-267890-j64x6f5r 436 29 of of IN cord-267890-j64x6f5r 436 30 novel novel JJ cord-267890-j64x6f5r 436 31 coronavirus coronavirus NN cord-267890-j64x6f5r 436 32 ( ( -LRB- cord-267890-j64x6f5r 436 33 sars sars NNP cord-267890-j64x6f5r 436 34 - - HYPH cord-267890-j64x6f5r 436 35 cov-2 cov-2 LS cord-267890-j64x6f5r 436 36 ) ) -RRB- cord-267890-j64x6f5r 436 37 Inverse inverse NN cord-267890-j64x6f5r 436 38 problem problem NN cord-267890-j64x6f5r 436 39 theory theory NN cord-267890-j64x6f5r 436 40 and and CC cord-267890-j64x6f5r 436 41 methods method NNS cord-267890-j64x6f5r 436 42 for for IN cord-267890-j64x6f5r 436 43 model model NN cord-267890-j64x6f5r 436 44 parameter parameter NN cord-267890-j64x6f5r 436 45 estimation estimation NN cord-267890-j64x6f5r 436 46 Numerical numerical JJ cord-267890-j64x6f5r 436 47 weather weather NN cord-267890-j64x6f5r 436 48 prediction prediction NN cord-267890-j64x6f5r 436 49 Atmospheric atmospheric JJ cord-267890-j64x6f5r 436 50 modeling modeling NN cord-267890-j64x6f5r 436 51 , , , cord-267890-j64x6f5r 436 52 data datum NNS cord-267890-j64x6f5r 436 53 assimilation assimilation NN cord-267890-j64x6f5r 436 54 and and CC cord-267890-j64x6f5r 436 55 predictability predictability NN cord-267890-j64x6f5r 436 56 Data data NN cord-267890-j64x6f5r 436 57 assimilation assimilation NN cord-267890-j64x6f5r 436 58 : : : cord-267890-j64x6f5r 436 59 the the DT cord-267890-j64x6f5r 436 60 ensemble ensemble NN cord-267890-j64x6f5r 436 61 Kalman Kalman NNP cord-267890-j64x6f5r 436 62 filter filter NN cord-267890-j64x6f5r 436 63 Practical practical JJ cord-267890-j64x6f5r 436 64 methods method NNS cord-267890-j64x6f5r 436 65 for for IN cord-267890-j64x6f5r 436 66 optimal optimal JJ cord-267890-j64x6f5r 436 67 control control NN cord-267890-j64x6f5r 436 68 and and CC cord-267890-j64x6f5r 436 69 estimation estimation NN cord-267890-j64x6f5r 436 70 using use VBG cord-267890-j64x6f5r 436 71 nonlinear nonlinear JJ cord-267890-j64x6f5r 436 72 programming programming NN cord-267890-j64x6f5r 437 1 The the DT cord-267890-j64x6f5r 437 2 number number NN cord-267890-j64x6f5r 437 3 of of IN cord-267890-j64x6f5r 437 4 required require VBN cord-267890-j64x6f5r 437 5 observations observation NNS cord-267890-j64x6f5r 437 6 in in IN cord-267890-j64x6f5r 437 7 data data NN cord-267890-j64x6f5r 437 8 assimilation assimilation NN cord-267890-j64x6f5r 437 9 for for IN cord-267890-j64x6f5r 437 10 a a DT cord-267890-j64x6f5r 437 11 shallow shallow JJ cord-267890-j64x6f5r 437 12 - - HYPH cord-267890-j64x6f5r 437 13 water water NN cord-267890-j64x6f5r 437 14 flow flow NN cord-267890-j64x6f5r 437 15 Estimating estimate VBG cord-267890-j64x6f5r 437 16 the the DT cord-267890-j64x6f5r 437 17 state state NN cord-267890-j64x6f5r 437 18 of of IN cord-267890-j64x6f5r 437 19 a a DT cord-267890-j64x6f5r 437 20 geophysical geophysical JJ cord-267890-j64x6f5r 437 21 system system NN cord-267890-j64x6f5r 437 22 with with IN cord-267890-j64x6f5r 437 23 sparse sparse JJ cord-267890-j64x6f5r 437 24 observations observation NNS cord-267890-j64x6f5r 437 25 : : : cord-267890-j64x6f5r 437 26 time time NN cord-267890-j64x6f5r 437 27 delay delay NN cord-267890-j64x6f5r 437 28 methods method NNS cord-267890-j64x6f5r 437 29 to to TO cord-267890-j64x6f5r 437 30 achieve achieve VB cord-267890-j64x6f5r 437 31 accurate accurate JJ cord-267890-j64x6f5r 437 32 initial initial JJ cord-267890-j64x6f5r 437 33 states state NNS cord-267890-j64x6f5r 437 34 for for IN cord-267890-j64x6f5r 437 35 prediction prediction NN cord-267890-j64x6f5r 438 1 Kalman Kalman NNP cord-267890-j64x6f5r 438 2 meets meet VBZ cord-267890-j64x6f5r 438 3 neuron neuron NN cord-267890-j64x6f5r 438 4 : : : cord-267890-j64x6f5r 438 5 the the DT cord-267890-j64x6f5r 438 6 emerging emerge VBG cord-267890-j64x6f5r 438 7 intersection intersection NN cord-267890-j64x6f5r 438 8 of of IN cord-267890-j64x6f5r 438 9 control control NN cord-267890-j64x6f5r 438 10 theory theory NN cord-267890-j64x6f5r 438 11 with with IN cord-267890-j64x6f5r 438 12 neuroscience neuroscience NN cord-267890-j64x6f5r 438 13 Annual Annual NNP cord-267890-j64x6f5r 438 14 International International NNP cord-267890-j64x6f5r 438 15 Conference Conference NNP cord-267890-j64x6f5r 438 16 of of IN cord-267890-j64x6f5r 438 17 the the DT cord-267890-j64x6f5r 438 18 IEEE IEEE NNP cord-267890-j64x6f5r 438 19 Engineering Engineering NNP cord-267890-j64x6f5r 438 20 in in IN cord-267890-j64x6f5r 438 21 Medicine Medicine NNP cord-267890-j64x6f5r 438 22 and and CC cord-267890-j64x6f5r 439 1 Biology Biology NNP cord-267890-j64x6f5r 439 2 Society Society NNP cord-267890-j64x6f5r 439 3 Dynamical dynamical JJ cord-267890-j64x6f5r 439 4 estimation estimation NN cord-267890-j64x6f5r 439 5 of of IN cord-267890-j64x6f5r 439 6 neuron neuron NN cord-267890-j64x6f5r 439 7 and and CC cord-267890-j64x6f5r 439 8 network network NN cord-267890-j64x6f5r 439 9 properties property NNS cord-267890-j64x6f5r 440 1 i i PRP cord-267890-j64x6f5r 440 2 : : : cord-267890-j64x6f5r 440 3 variational variational JJ cord-267890-j64x6f5r 440 4 methods method NNS cord-267890-j64x6f5r 441 1 Dynamical dynamical JJ cord-267890-j64x6f5r 441 2 estimation estimation NN cord-267890-j64x6f5r 441 3 of of IN cord-267890-j64x6f5r 441 4 neuron neuron NN cord-267890-j64x6f5r 441 5 and and CC cord-267890-j64x6f5r 441 6 network network NN cord-267890-j64x6f5r 441 7 properties property NNS cord-267890-j64x6f5r 441 8 ii ii NNP cord-267890-j64x6f5r 441 9 : : : cord-267890-j64x6f5r 441 10 path path NNP cord-267890-j64x6f5r 441 11 integral integral NNP cord-267890-j64x6f5r 441 12 monte monte NNP cord-267890-j64x6f5r 441 13 carlo carlo NNP cord-267890-j64x6f5r 441 14 methods method NNS cord-267890-j64x6f5r 441 15 Real real JJ cord-267890-j64x6f5r 441 16 - - HYPH cord-267890-j64x6f5r 441 17 time time NN cord-267890-j64x6f5r 441 18 tracking tracking NN cord-267890-j64x6f5r 441 19 of of IN cord-267890-j64x6f5r 441 20 neuronal neuronal JJ cord-267890-j64x6f5r 441 21 network network NN cord-267890-j64x6f5r 441 22 structure structure NN cord-267890-j64x6f5r 441 23 using use VBG cord-267890-j64x6f5r 441 24 data datum NNS cord-267890-j64x6f5r 441 25 assimilation assimilation NN cord-267890-j64x6f5r 441 26 Estimating estimate VBG cord-267890-j64x6f5r 441 27 parameters parameter NNS cord-267890-j64x6f5r 441 28 and and CC cord-267890-j64x6f5r 441 29 predicting predict VBG cord-267890-j64x6f5r 441 30 membrane membrane NN cord-267890-j64x6f5r 441 31 voltages voltage NNS cord-267890-j64x6f5r 441 32 with with IN cord-267890-j64x6f5r 441 33 conductance conductance NN cord-267890-j64x6f5r 441 34 - - HYPH cord-267890-j64x6f5r 441 35 based base VBN cord-267890-j64x6f5r 441 36 neuron neuron NN cord-267890-j64x6f5r 441 37 models model NNS cord-267890-j64x6f5r 442 1 Automatic automatic JJ cord-267890-j64x6f5r 442 2 construction construction NN cord-267890-j64x6f5r 442 3 of of IN cord-267890-j64x6f5r 442 4 predictive predictive JJ cord-267890-j64x6f5r 442 5 neuron neuron NN cord-267890-j64x6f5r 442 6 models model NNS cord-267890-j64x6f5r 442 7 through through IN cord-267890-j64x6f5r 442 8 large large JJ cord-267890-j64x6f5r 442 9 scale scale NN cord-267890-j64x6f5r 442 10 assimilation assimilation NN cord-267890-j64x6f5r 442 11 of of IN cord-267890-j64x6f5r 442 12 electrophysiological electrophysiological JJ cord-267890-j64x6f5r 442 13 data datum NNS cord-267890-j64x6f5r 442 14 Statistical statistical JJ cord-267890-j64x6f5r 442 15 data datum NNS cord-267890-j64x6f5r 442 16 assimilation assimilation NN cord-267890-j64x6f5r 442 17 for for IN cord-267890-j64x6f5r 442 18 estimating estimate VBG cord-267890-j64x6f5r 442 19 electrophysiology electrophysiology NN cord-267890-j64x6f5r 442 20 simultaneously simultaneously RB cord-267890-j64x6f5r 442 21 with with IN cord-267890-j64x6f5r 442 22 connectivity connectivity NN cord-267890-j64x6f5r 442 23 within within IN cord-267890-j64x6f5r 442 24 a a DT cord-267890-j64x6f5r 442 25 biological biological JJ cord-267890-j64x6f5r 442 26 neuronal neuronal JJ cord-267890-j64x6f5r 442 27 network network NN cord-267890-j64x6f5r 442 28 Towards towards IN cord-267890-j64x6f5r 442 29 real real JJ cord-267890-j64x6f5r 442 30 time time NN cord-267890-j64x6f5r 442 31 epidemiology epidemiology NN cord-267890-j64x6f5r 442 32 : : : cord-267890-j64x6f5r 442 33 data data NN cord-267890-j64x6f5r 442 34 assimilation assimilation NN cord-267890-j64x6f5r 442 35 , , , cord-267890-j64x6f5r 442 36 modeling modeling NN cord-267890-j64x6f5r 442 37 and and CC cord-267890-j64x6f5r 442 38 anomaly anomaly NN cord-267890-j64x6f5r 442 39 detection detection NN cord-267890-j64x6f5r 442 40 of of IN cord-267890-j64x6f5r 442 41 health health NN cord-267890-j64x6f5r 442 42 surveillance surveillance NN cord-267890-j64x6f5r 442 43 data datum NNS cord-267890-j64x6f5r 442 44 streams stream VBZ cord-267890-j64x6f5r 442 45 Variational Variational NNP cord-267890-j64x6f5r 442 46 data datum NNS cord-267890-j64x6f5r 442 47 assimilation assimilation NN cord-267890-j64x6f5r 442 48 with with IN cord-267890-j64x6f5r 442 49 epidemic epidemic NN cord-267890-j64x6f5r 442 50 models model NNS cord-267890-j64x6f5r 442 51 Bayesian Bayesian NNP cord-267890-j64x6f5r 442 52 tracking tracking NN cord-267890-j64x6f5r 442 53 of of IN cord-267890-j64x6f5r 442 54 emerging emerge VBG cord-267890-j64x6f5r 442 55 epidemics epidemic NNS cord-267890-j64x6f5r 442 56 using use VBG cord-267890-j64x6f5r 442 57 ensemble ensemble JJ cord-267890-j64x6f5r 442 58 optimal optimal JJ cord-267890-j64x6f5r 442 59 statistical statistical JJ cord-267890-j64x6f5r 442 60 interpolation interpolation NN cord-267890-j64x6f5r 442 61 Real real JJ cord-267890-j64x6f5r 442 62 time time NN cord-267890-j64x6f5r 442 63 bayesian bayesian JJ cord-267890-j64x6f5r 442 64 estimation estimation NN cord-267890-j64x6f5r 442 65 of of IN cord-267890-j64x6f5r 442 66 the the DT cord-267890-j64x6f5r 442 67 epidemic epidemic NN cord-267890-j64x6f5r 442 68 potential potential NN cord-267890-j64x6f5r 442 69 of of IN cord-267890-j64x6f5r 442 70 emerging emerge VBG cord-267890-j64x6f5r 442 71 infectious infectious JJ cord-267890-j64x6f5r 442 72 diseases disease NNS cord-267890-j64x6f5r 442 73 Adjoint Adjoint NNP cord-267890-j64x6f5r 442 74 - - HYPH cord-267890-j64x6f5r 442 75 based base VBN cord-267890-j64x6f5r 442 76 data datum NNS cord-267890-j64x6f5r 442 77 assimilation assimilation NN cord-267890-j64x6f5r 442 78 of of IN cord-267890-j64x6f5r 442 79 an an DT cord-267890-j64x6f5r 442 80 epidemiology epidemiology NN cord-267890-j64x6f5r 442 81 model model NN cord-267890-j64x6f5r 442 82 for for IN cord-267890-j64x6f5r 442 83 the the DT cord-267890-j64x6f5r 442 84 covid-19 covid-19 CD cord-267890-j64x6f5r 442 85 pandemic pandemic NN cord-267890-j64x6f5r 442 86 in in IN cord-267890-j64x6f5r 442 87 2020 2020 CD cord-267890-j64x6f5r 443 1 An an DT cord-267890-j64x6f5r 443 2 epidemiological epidemiological JJ cord-267890-j64x6f5r 443 3 modelling modelling NN cord-267890-j64x6f5r 443 4 approach approach NN cord-267890-j64x6f5r 443 5 for for IN cord-267890-j64x6f5r 443 6 covid19 covid19 NNP cord-267890-j64x6f5r 443 7 via via IN cord-267890-j64x6f5r 443 8 data data NN cord-267890-j64x6f5r 443 9 assimilation assimilation NN cord-267890-j64x6f5r 444 1 Projecting project VBG cord-267890-j64x6f5r 444 2 hospital hospital NN cord-267890-j64x6f5r 444 3 utilization utilization NN cord-267890-j64x6f5r 444 4 during during IN cord-267890-j64x6f5r 444 5 the the DT cord-267890-j64x6f5r 444 6 covid-19 covid-19 CD cord-267890-j64x6f5r 444 7 outbreaks outbreak NNS cord-267890-j64x6f5r 444 8 in in IN cord-267890-j64x6f5r 444 9 the the DT cord-267890-j64x6f5r 444 10 united united NNP cord-267890-j64x6f5r 444 11 states states NNP cord-267890-j64x6f5r 444 12 Predicting predict VBG cord-267890-j64x6f5r 444 13 the the DT cord-267890-j64x6f5r 444 14 future future NN cord-267890-j64x6f5r 444 15 : : : cord-267890-j64x6f5r 444 16 completing complete VBG cord-267890-j64x6f5r 444 17 models model NNS cord-267890-j64x6f5r 444 18 of of IN cord-267890-j64x6f5r 444 19 observed observed JJ cord-267890-j64x6f5r 444 20 complex complex JJ cord-267890-j64x6f5r 444 21 systems system NNS cord-267890-j64x6f5r 444 22 Dynamical dynamical JJ cord-267890-j64x6f5r 444 23 parameter parameter NN cord-267890-j64x6f5r 444 24 and and CC cord-267890-j64x6f5r 444 25 state state NN cord-267890-j64x6f5r 444 26 estimation estimation NN cord-267890-j64x6f5r 444 27 in in IN cord-267890-j64x6f5r 444 28 neuron neuron NN cord-267890-j64x6f5r 444 29 models model NNS cord-267890-j64x6f5r 444 30 . . . cord-267890-j64x6f5r 445 1 The the DT cord-267890-j64x6f5r 445 2 dynamic dynamic JJ cord-267890-j64x6f5r 445 3 brain brain NN cord-267890-j64x6f5r 445 4 : : : cord-267890-j64x6f5r 445 5 an an DT cord-267890-j64x6f5r 445 6 exploration exploration NN cord-267890-j64x6f5r 445 7 of of IN cord-267890-j64x6f5r 445 8 neuronal neuronal JJ cord-267890-j64x6f5r 445 9 variability variability NN cord-267890-j64x6f5r 445 10 and and CC cord-267890-j64x6f5r 445 11 its -PRON- PRP$ cord-267890-j64x6f5r 445 12 functional functional JJ cord-267890-j64x6f5r 445 13 significance significance NN cord-267890-j64x6f5r 445 14 Estimating estimate VBG cord-267890-j64x6f5r 445 15 the the DT cord-267890-j64x6f5r 445 16 biophysical biophysical JJ cord-267890-j64x6f5r 445 17 properties property NNS cord-267890-j64x6f5r 445 18 of of IN cord-267890-j64x6f5r 445 19 neurons neuron NNS cord-267890-j64x6f5r 445 20 with with IN cord-267890-j64x6f5r 445 21 intracellular intracellular JJ cord-267890-j64x6f5r 445 22 calcium calcium NN cord-267890-j64x6f5r 445 23 dynamics dynamic NNS cord-267890-j64x6f5r 445 24 Accurate accurate JJ cord-267890-j64x6f5r 445 25 state state NN cord-267890-j64x6f5r 445 26 and and CC cord-267890-j64x6f5r 445 27 parameter parameter NN cord-267890-j64x6f5r 445 28 estimation estimation NN cord-267890-j64x6f5r 445 29 in in IN cord-267890-j64x6f5r 445 30 nonlinear nonlinear JJ cord-267890-j64x6f5r 445 31 systems system NNS cord-267890-j64x6f5r 445 32 with with IN cord-267890-j64x6f5r 445 33 sparse sparse JJ cord-267890-j64x6f5r 445 34 observations observation NNS cord-267890-j64x6f5r 445 35 Improved improve VBN cord-267890-j64x6f5r 445 36 variational variational JJ cord-267890-j64x6f5r 445 37 methods method NNS cord-267890-j64x6f5r 445 38 in in IN cord-267890-j64x6f5r 445 39 statistical statistical JJ cord-267890-j64x6f5r 445 40 data data NN cord-267890-j64x6f5r 445 41 assimilation assimilation NN cord-267890-j64x6f5r 445 42 Nonlinear Nonlinear NNP cord-267890-j64x6f5r 445 43 statistical statistical JJ cord-267890-j64x6f5r 445 44 data data NN cord-267890-j64x6f5r 445 45 assimilation assimilation NN cord-267890-j64x6f5r 445 46 for for IN cord-267890-j64x6f5r 445 47 HVC HVC NNP cord-267890-j64x6f5r 445 48 RA RA NNP cord-267890-j64x6f5r 445 49 neurons neuron NNS cord-267890-j64x6f5r 445 50 in in IN cord-267890-j64x6f5r 445 51 the the DT cord-267890-j64x6f5r 445 52 avian avian JJ cord-267890-j64x6f5r 445 53 song song NN cord-267890-j64x6f5r 445 54 system system NN cord-267890-j64x6f5r 445 55 Data Data NNP cord-267890-j64x6f5r 445 56 assimilation assimilation NN cord-267890-j64x6f5r 445 57 of of IN cord-267890-j64x6f5r 445 58 membrane membrane NN cord-267890-j64x6f5r 445 59 dynamics dynamic NNS cord-267890-j64x6f5r 445 60 and and CC cord-267890-j64x6f5r 445 61 channel channel NN cord-267890-j64x6f5r 445 62 kinetics kinetic NNS cord-267890-j64x6f5r 445 63 with with IN cord-267890-j64x6f5r 445 64 a a DT cord-267890-j64x6f5r 445 65 neuromorphic neuromorphic JJ cord-267890-j64x6f5r 445 66 integrated integrate VBN cord-267890-j64x6f5r 445 67 circuit circuit NN cord-267890-j64x6f5r 446 1 An an DT cord-267890-j64x6f5r 446 2 optimization optimization NN cord-267890-j64x6f5r 446 3 - - HYPH cord-267890-j64x6f5r 446 4 based base VBN cord-267890-j64x6f5r 446 5 approach approach NN cord-267890-j64x6f5r 446 6 to to IN cord-267890-j64x6f5r 446 7 calculating calculate VBG cord-267890-j64x6f5r 446 8 neutrino neutrino NN cord-267890-j64x6f5r 446 9 flavor flavor NN cord-267890-j64x6f5r 446 10 evolution evolution NN cord-267890-j64x6f5r 446 11 Systematic systematic JJ cord-267890-j64x6f5r 446 12 variational variational JJ cord-267890-j64x6f5r 446 13 method method NN cord-267890-j64x6f5r 446 14 for for IN cord-267890-j64x6f5r 446 15 statistical statistical JJ cord-267890-j64x6f5r 446 16 nonlinear nonlinear JJ cord-267890-j64x6f5r 446 17 state state NN cord-267890-j64x6f5r 446 18 and and CC cord-267890-j64x6f5r 446 19 parameter parameter NN cord-267890-j64x6f5r 446 20 estimation estimation NN cord-267890-j64x6f5r 446 21 Improved improve VBN cord-267890-j64x6f5r 446 22 inference inference NN cord-267890-j64x6f5r 446 23 of of IN cord-267890-j64x6f5r 446 24 time time NN cord-267890-j64x6f5r 446 25 - - HYPH cord-267890-j64x6f5r 446 26 varying vary VBG cord-267890-j64x6f5r 446 27 reproduction reproduction NN cord-267890-j64x6f5r 446 28 numbers number NNS cord-267890-j64x6f5r 446 29 during during IN cord-267890-j64x6f5r 446 30 infectious infectious JJ cord-267890-j64x6f5r 446 31 disease disease NN cord-267890-j64x6f5r 446 32 outbreaks outbreak NNS cord-267890-j64x6f5r 447 1 A a DT cord-267890-j64x6f5r 447 2 new new JJ cord-267890-j64x6f5r 447 3 framework framework NN cord-267890-j64x6f5r 447 4 and and CC cord-267890-j64x6f5r 447 5 software software NN cord-267890-j64x6f5r 447 6 to to TO cord-267890-j64x6f5r 447 7 estimate estimate VB cord-267890-j64x6f5r 447 8 time time NN cord-267890-j64x6f5r 447 9 - - HYPH cord-267890-j64x6f5r 447 10 varying vary VBG cord-267890-j64x6f5r 447 11 reproduction reproduction NN cord-267890-j64x6f5r 447 12 numbers number NNS cord-267890-j64x6f5r 447 13 during during IN cord-267890-j64x6f5r 447 14 epidemics epidemic NNS cord-267890-j64x6f5r 447 15 Different different JJ cord-267890-j64x6f5r 447 16 epidemic epidemic NN cord-267890-j64x6f5r 447 17 curves curve NNS cord-267890-j64x6f5r 447 18 for for IN cord-267890-j64x6f5r 447 19 severe severe JJ cord-267890-j64x6f5r 447 20 acute acute JJ cord-267890-j64x6f5r 447 21 respiratory respiratory JJ cord-267890-j64x6f5r 447 22 syndrome syndrome NN cord-267890-j64x6f5r 447 23 reveal reveal VBP cord-267890-j64x6f5r 447 24 similar similar JJ cord-267890-j64x6f5r 447 25 impacts impact NNS cord-267890-j64x6f5r 447 26 of of IN cord-267890-j64x6f5r 447 27 control control NN cord-267890-j64x6f5r 447 28 measures measure NNS cord-267890-j64x6f5r 447 29 PAUSE pause VB cord-267890-j64x6f5r 447 30 order order NN cord-267890-j64x6f5r 447 31 in in IN cord-267890-j64x6f5r 447 32 New New NNP cord-267890-j64x6f5r 447 33 York York NNP cord-267890-j64x6f5r 447 34 City City NNP cord-267890-j64x6f5r 447 35 takes take VBZ cord-267890-j64x6f5r 447 36 effect effect NN cord-267890-j64x6f5r 447 37 Getting get VBG cord-267890-j64x6f5r 447 38 a a DT cord-267890-j64x6f5r 447 39 handle handle NN cord-267890-j64x6f5r 447 40 on on IN cord-267890-j64x6f5r 447 41 asymptomatic asymptomatic JJ cord-267890-j64x6f5r 447 42 SARS SARS NNP cord-267890-j64x6f5r 447 43 - - HYPH cord-267890-j64x6f5r 447 44 CoV-2 CoV-2 NNP cord-267890-j64x6f5r 447 45 infection infection NN cord-267890-j64x6f5r 447 46 Estimating estimate VBG cord-267890-j64x6f5r 447 47 the the DT cord-267890-j64x6f5r 447 48 burden burden NN cord-267890-j64x6f5r 447 49 of of IN cord-267890-j64x6f5r 447 50 sars sars NNP cord-267890-j64x6f5r 448 1 -cov-2 -cov-2 : cord-267890-j64x6f5r 448 2 in in IN cord-267890-j64x6f5r 448 3 france france NNP cord-267890-j64x6f5r 448 4 Epidemiology Epidemiology NNP cord-267890-j64x6f5r 448 5 and and CC cord-267890-j64x6f5r 448 6 transmission transmission NN cord-267890-j64x6f5r 448 7 of of IN cord-267890-j64x6f5r 448 8 covid-19 covid-19 NNP cord-267890-j64x6f5r 448 9 in in IN cord-267890-j64x6f5r 448 10 shenzhen shenzhen NNP cord-267890-j64x6f5r 448 11 china china NNP cord-267890-j64x6f5r 448 12 : : : cord-267890-j64x6f5r 449 1 Analysis analysis NN cord-267890-j64x6f5r 449 2 of of IN cord-267890-j64x6f5r 449 3 391 391 CD cord-267890-j64x6f5r 449 4 cases case NNS cord-267890-j64x6f5r 449 5 and and CC cord-267890-j64x6f5r 449 6 1,286 1,286 CD cord-267890-j64x6f5r 449 7 of of IN cord-267890-j64x6f5r 449 8 their -PRON- PRP$ cord-267890-j64x6f5r 449 9 close close JJ cord-267890-j64x6f5r 449 10 contacts contact NNS cord-267890-j64x6f5r 449 11 Incidence incidence NN cord-267890-j64x6f5r 449 12 , , , cord-267890-j64x6f5r 449 13 clinical clinical JJ cord-267890-j64x6f5r 449 14 outcomes outcome NNS cord-267890-j64x6f5r 449 15 , , , cord-267890-j64x6f5r 449 16 and and CC cord-267890-j64x6f5r 449 17 transmission transmission NN cord-267890-j64x6f5r 449 18 dynamics dynamic NNS cord-267890-j64x6f5r 449 19 of of IN cord-267890-j64x6f5r 449 20 hospitalized hospitalize VBN cord-267890-j64x6f5r 449 21 2019 2019 CD cord-267890-j64x6f5r 449 22 coronavirus coronavirus NN cord-267890-j64x6f5r 449 23 disease disease NN cord-267890-j64x6f5r 449 24 among among IN cord-267890-j64x6f5r 449 25 9,596,321 9,596,321 CD cord-267890-j64x6f5r 449 26 individuals individual NNS cord-267890-j64x6f5r 449 27 residing reside VBG cord-267890-j64x6f5r 449 28 in in IN cord-267890-j64x6f5r 449 29 california california NNP cord-267890-j64x6f5r 449 30 and and CC cord-267890-j64x6f5r 449 31 washington washington NNP cord-267890-j64x6f5r 449 32 Clinical Clinical NNP cord-267890-j64x6f5r 449 33 features feature NNS cord-267890-j64x6f5r 449 34 of of IN cord-267890-j64x6f5r 449 35 patients patient NNS cord-267890-j64x6f5r 449 36 infected infect VBN cord-267890-j64x6f5r 449 37 with with IN cord-267890-j64x6f5r 449 38 2019 2019 CD cord-267890-j64x6f5r 449 39 novel novel JJ cord-267890-j64x6f5r 449 40 coronavirus coronavirus NN cord-267890-j64x6f5r 449 41 in in IN cord-267890-j64x6f5r 449 42 wuhan wuhan NNP cord-267890-j64x6f5r 449 43 , , , cord-267890-j64x6f5r 449 44 china china NNP cord-267890-j64x6f5r 449 45 . . . cord-267890-j64x6f5r 450 1 The the DT cord-267890-j64x6f5r 450 2 lancet lancet NN cord-267890-j64x6f5r 450 3 Clinical clinical JJ cord-267890-j64x6f5r 450 4 course course NN cord-267890-j64x6f5r 450 5 and and CC cord-267890-j64x6f5r 450 6 outcomes outcome NNS cord-267890-j64x6f5r 450 7 of of IN cord-267890-j64x6f5r 450 8 critically critically RB cord-267890-j64x6f5r 450 9 ill ill JJ cord-267890-j64x6f5r 450 10 patients patient NNS cord-267890-j64x6f5r 450 11 with with IN cord-267890-j64x6f5r 450 12 sars sars NNP cord-267890-j64x6f5r 450 13 - - HYPH cord-267890-j64x6f5r 450 14 cov-2 cov-2 NNP cord-267890-j64x6f5r 450 15 pneumonia pneumonia NN cord-267890-j64x6f5r 450 16 in in IN cord-267890-j64x6f5r 450 17 wuhan wuhan NNP cord-267890-j64x6f5r 450 18 , , , cord-267890-j64x6f5r 450 19 china china NNP cord-267890-j64x6f5r 450 20 : : : cord-267890-j64x6f5r 450 21 a a DT cord-267890-j64x6f5r 450 22 single single RB cord-267890-j64x6f5r 450 23 - - HYPH cord-267890-j64x6f5r 450 24 centered centered JJ cord-267890-j64x6f5r 450 25 , , , cord-267890-j64x6f5r 450 26 retrospective retrospective JJ cord-267890-j64x6f5r 450 27 , , , cord-267890-j64x6f5r 450 28 observational observational JJ cord-267890-j64x6f5r 450 29 study study NN cord-267890-j64x6f5r 450 30 . . . cord-267890-j64x6f5r 451 1 The the DT cord-267890-j64x6f5r 451 2 Lancet Lancet NNP cord-267890-j64x6f5r 451 3 Respiratory Respiratory NNP cord-267890-j64x6f5r 451 4 Medicine medicine NN cord-267890-j64x6f5r 451 5 Short short JJ cord-267890-j64x6f5r 451 6 tutorial tutorial NN cord-267890-j64x6f5r 451 7 : : : cord-267890-j64x6f5r 451 8 getting get VBG cord-267890-j64x6f5r 451 9 started start VBN cord-267890-j64x6f5r 451 10 with with IN cord-267890-j64x6f5r 451 11 ipopt ipopt NNP cord-267890-j64x6f5r 451 12 in in IN cord-267890-j64x6f5r 451 13 90 90 CD cord-267890-j64x6f5r 451 14 minutes minute NNS