id	sid	tid	token	lemma	pos
pc289g58f72	1	1	graph	graph	NOUN
pc289g58f72	1	2	data	datum	NOUN
pc289g58f72	1	3	analysis	analysis	NOUN
pc289g58f72	1	4	have	have	AUX
pc289g58f72	1	5	recently	recently	ADV
pc289g58f72	1	6	attained	attain	VERB
pc289g58f72	1	7	much	much	ADJ
pc289g58f72	1	8	interests	interest	NOUN
pc289g58f72	1	9	from	from	ADP
pc289g58f72	1	10	the	the	DET
pc289g58f72	1	11	statistics	statistic	NOUN
pc289g58f72	1	12	community	community	NOUN
pc289g58f72	1	13	for	for	ADP
pc289g58f72	1	14	their	their	PRON
pc289g58f72	1	15	capabilities	capability	NOUN
pc289g58f72	1	16	to	to	PART
pc289g58f72	1	17	perform	perform	VERB
pc289g58f72	1	18	inferential	inferential	ADJ
pc289g58f72	1	19	tasks	task	NOUN
pc289g58f72	1	20	on	on	ADP
pc289g58f72	1	21	types	type	NOUN
pc289g58f72	1	22	of	of	ADP
pc289g58f72	1	23	data	datum	NOUN
pc289g58f72	1	24	that	that	PRON
pc289g58f72	1	25	are	be	AUX
pc289g58f72	1	26	prevailing	prevail	VERB
pc289g58f72	1	27	at	at	ADP
pc289g58f72	1	28	every	every	DET
pc289g58f72	1	29	corner	corner	NOUN
pc289g58f72	1	30	of	of	ADP
pc289g58f72	1	31	our	our	PRON
pc289g58f72	1	32	daily	daily	ADJ
pc289g58f72	1	33	life	life	NOUN
pc289g58f72	1	34	.	.	PUNCT
pc289g58f72	2	1	another	another	DET
pc289g58f72	2	2	hot	hot	ADJ
pc289g58f72	2	3	topic	topic	NOUN
pc289g58f72	2	4	is	be	AUX
pc289g58f72	2	5	neural	neural	ADJ
pc289g58f72	2	6	network	network	NOUN
pc289g58f72	2	7	which	which	PRON
pc289g58f72	2	8	has	have	AUX
pc289g58f72	2	9	been	be	AUX
pc289g58f72	2	10	applied	apply	VERB
pc289g58f72	2	11	on	on	ADP
pc289g58f72	2	12	various	various	ADJ
pc289g58f72	2	13	disciplines	discipline	NOUN
pc289g58f72	2	14	,	,	PUNCT
pc289g58f72	2	15	like	like	ADP
pc289g58f72	2	16	partial	partial	ADJ
pc289g58f72	2	17	deferential	deferential	ADJ
pc289g58f72	2	18	equation(pde	equation(pde	NOUN
pc289g58f72	2	19	)	)	PUNCT
pc289g58f72	2	20	,	,	PUNCT
pc289g58f72	2	21	for	for	SCONJ
pc289g58f72	2	22	their	their	PRON
pc289g58f72	2	23	capabilities	capability	NOUN
pc289g58f72	2	24	to	to	PART
pc289g58f72	2	25	deal	deal	VERB
pc289g58f72	2	26	with	with	ADP
pc289g58f72	2	27	high	high	ADJ
pc289g58f72	2	28	dimensional	dimensional	ADJ
pc289g58f72	2	29	problems	problem	NOUN
pc289g58f72	2	30	that	that	SCONJ
pc289g58f72	2	31	traditional	traditional	ADJ
pc289g58f72	2	32	finite	finite	NOUN
pc289g58f72	2	33	elements	element	NOUN
pc289g58f72	2	34	or	or	CCONJ
pc289g58f72	2	35	finite	finite	ADJ
pc289g58f72	2	36	difference	difference	NOUN
pc289g58f72	2	37	methods	method	NOUN
pc289g58f72	2	38	often	often	ADV
pc289g58f72	2	39	fail	fail	VERB
pc289g58f72	2	40	to	to	PART
pc289g58f72	2	41	solve	solve	VERB
pc289g58f72	2	42	.	.	PUNCT
pc289g58f72	3	1	my	my	PRON
pc289g58f72	3	2	dissertation	dissertation	NOUN
pc289g58f72	3	3	develops	develop	VERB
pc289g58f72	3	4	several	several	ADJ
pc289g58f72	3	5	methods	method	NOUN
pc289g58f72	3	6	that	that	PRON
pc289g58f72	3	7	focus	focus	VERB
pc289g58f72	3	8	on	on	ADP
pc289g58f72	3	9	various	various	ADJ
pc289g58f72	3	10	aspects	aspect	NOUN
pc289g58f72	3	11	across	across	ADP
pc289g58f72	3	12	these	these	DET
pc289g58f72	3	13	two	two	NUM
pc289g58f72	3	14	disciplines	discipline	NOUN
pc289g58f72	3	15	.	.	PUNCT
pc289g58f72	4	1	in	in	ADP
pc289g58f72	4	2	the	the	DET
pc289g58f72	4	3	graph	graph	NOUN
pc289g58f72	4	4	-	-	PUNCT
pc289g58f72	4	5	related	relate	VERB
pc289g58f72	4	6	realm	realm	NOUN
pc289g58f72	4	7	,	,	PUNCT
pc289g58f72	4	8	we	we	PRON
pc289g58f72	4	9	firstly	firstly	ADV
pc289g58f72	4	10	developed	develop	VERB
pc289g58f72	4	11	efficient	efficient	ADJ
pc289g58f72	4	12	numerical	numerical	ADJ
pc289g58f72	4	13	routines	routine	NOUN
pc289g58f72	4	14	for	for	ADP
pc289g58f72	4	15	unsupervised	unsupervised	ADJ
pc289g58f72	4	16	clustering	clustering	NOUN
pc289g58f72	4	17	problem	problem	NOUN
pc289g58f72	4	18	and	and	CCONJ
pc289g58f72	4	19	further	far	ADV
pc289g58f72	4	20	proved	prove	VERB
pc289g58f72	4	21	theoretical	theoretical	ADJ
pc289g58f72	4	22	guarantees	guarantee	NOUN
pc289g58f72	4	23	on	on	ADP
pc289g58f72	4	24	the	the	DET
pc289g58f72	4	25	clustering	clustering	NOUN
pc289g58f72	4	26	error	error	NOUN
pc289g58f72	4	27	corresponding	correspond	VERB
pc289g58f72	4	28	to	to	ADP
pc289g58f72	4	29	the	the	DET
pc289g58f72	4	30	numerical	numerical	ADJ
pc289g58f72	4	31	routines	routine	NOUN
pc289g58f72	4	32	.	.	PUNCT
pc289g58f72	5	1	for	for	ADP
pc289g58f72	5	2	graph	graph	NOUN
pc289g58f72	5	3	neural	neural	ADJ
pc289g58f72	5	4	network	network	NOUN
pc289g58f72	5	5	,	,	PUNCT
pc289g58f72	5	6	we	we	PRON
pc289g58f72	5	7	modified	modify	VERB
pc289g58f72	5	8	the	the	DET
pc289g58f72	5	9	traditional	traditional	ADJ
pc289g58f72	5	10	training	training	NOUN
pc289g58f72	5	11	process	process	NOUN
pc289g58f72	5	12	of	of	ADP
pc289g58f72	5	13	graph	graph	NOUN
pc289g58f72	5	14	neural	neural	ADJ
pc289g58f72	5	15	network	network	NOUN
pc289g58f72	5	16	by	by	ADP
pc289g58f72	5	17	re	re	NOUN
pc289g58f72	5	18	-	-	VERB
pc289g58f72	5	19	sampling	sample	VERB
pc289g58f72	5	20	the	the	DET
pc289g58f72	5	21	graph	graph	NOUN
pc289g58f72	5	22	structure	structure	NOUN
pc289g58f72	5	23	.	.	PUNCT
pc289g58f72	6	1	to	to	ADP
pc289g58f72	6	2	the	the	DET
pc289g58f72	6	3	best	good	ADJ
pc289g58f72	6	4	of	of	ADP
pc289g58f72	6	5	our	our	PRON
pc289g58f72	6	6	knowledge	knowledge	NOUN
pc289g58f72	6	7	,	,	PUNCT
pc289g58f72	6	8	we	we	PRON
pc289g58f72	6	9	are	be	AUX
pc289g58f72	6	10	the	the	DET
pc289g58f72	6	11	first	first	ADJ
pc289g58f72	6	12	to	to	PART
pc289g58f72	6	13	introduce	introduce	VERB
pc289g58f72	6	14	the	the	DET
pc289g58f72	6	15	randomness	randomness	NOUN
pc289g58f72	6	16	into	into	ADP
pc289g58f72	6	17	the	the	DET
pc289g58f72	6	18	training	training	NOUN
pc289g58f72	6	19	phase	phase	NOUN
pc289g58f72	6	20	of	of	ADP
pc289g58f72	6	21	graph	graph	NOUN
pc289g58f72	6	22	neural	neural	ADJ
pc289g58f72	6	23	network	network	NOUN
pc289g58f72	6	24	.	.	PUNCT
pc289g58f72	7	1	on	on	ADP
pc289g58f72	7	2	the	the	DET
pc289g58f72	7	3	pde	pde	ADJ
pc289g58f72	7	4	domain	domain	NOUN
pc289g58f72	7	5	,	,	PUNCT
pc289g58f72	7	6	we	we	PRON
pc289g58f72	7	7	proposed	propose	VERB
pc289g58f72	7	8	structure	structure	NOUN
pc289g58f72	7	9	-	-	PUNCT
pc289g58f72	7	10	preserving	preserve	VERB
pc289g58f72	7	11	neural	neural	ADJ
pc289g58f72	7	12	-	-	PUNCT
pc289g58f72	7	13	network	network	NOUN
pc289g58f72	7	14	-	-	PUNCT
pc289g58f72	7	15	based	base	VERB
pc289g58f72	7	16	numerical	numerical	ADJ
pc289g58f72	7	17	schemes	scheme	NOUN
pc289g58f72	7	18	to	to	PART
pc289g58f72	7	19	solve	solve	VERB
pc289g58f72	7	20	both	both	DET
pc289g58f72	7	21	l2	l2	NOUN
pc289g58f72	7	22	-	-	PUNCT
pc289g58f72	7	23	gradient	gradient	NOUN
pc289g58f72	7	24	flows	flow	NOUN
pc289g58f72	7	25	and	and	CCONJ
pc289g58f72	7	26	generalized	generalized	ADJ
pc289g58f72	7	27	diffusions	diffusion	NOUN
pc289g58f72	7	28	.	.	PUNCT
pc289g58f72	8	1	by	by	ADP
pc289g58f72	8	2	using	use	VERB
pc289g58f72	8	3	neural	neural	ADJ
pc289g58f72	8	4	networks	network	NOUN
pc289g58f72	8	5	as	as	ADP
pc289g58f72	8	6	tools	tool	NOUN
pc289g58f72	8	7	for	for	ADP
pc289g58f72	8	8	spatial	spatial	ADJ
pc289g58f72	8	9	discretization	discretization	NOUN
pc289g58f72	8	10	,	,	PUNCT
pc289g58f72	8	11	we	we	PRON
pc289g58f72	8	12	introduce	introduce	VERB
pc289g58f72	8	13	a	a	DET
pc289g58f72	8	14	structure	structure	NOUN
pc289g58f72	8	15	-	-	PUNCT
pc289g58f72	8	16	preserving	preserve	VERB
pc289g58f72	8	17	eulerian	eulerian	ADJ
pc289g58f72	8	18	algorithm	algorithm	NOUN
pc289g58f72	8	19	to	to	PART
pc289g58f72	8	20	solve	solve	VERB
pc289g58f72	8	21	l2	l2	NOUN
pc289g58f72	8	22	-	-	PUNCT
pc289g58f72	8	23	gradient	gradient	NOUN
pc289g58f72	8	24	flows	flow	NOUN
pc289g58f72	8	25	and	and	CCONJ
pc289g58f72	8	26	a	a	DET
pc289g58f72	8	27	structure	structure	NOUN
pc289g58f72	8	28	-	-	PUNCT
pc289g58f72	8	29	preserving	preserve	VERB
pc289g58f72	8	30	lagrangian	lagrangian	NOUN
pc289g58f72	8	31	algorithm	algorithm	PROPN
pc289g58f72	8	32	to	to	PART
pc289g58f72	8	33	solve	solve	VERB
pc289g58f72	8	34	generalized	generalized	ADJ
pc289g58f72	8	35	diffusions	diffusion	NOUN
pc289g58f72	8	36	.	.	PUNCT