id author title date pages extension mime words sentences flesch summary cache txt cord-292475-jrl1fowa Abry, Patrice Spatial and temporal regularization to estimate COVID-19 reproduction number R(t): Promoting piecewise smoothness via convex optimization 2020-08-20 .txt text/plain 7470 386 53 The novelty of the proposed approach is twofold: 1) the estimation of the reproduction number is achieved by convex optimization within a proximal-based inverse problem formulation, with constraints aimed at promoting piecewise smoothness; 2) the approach is developed in a multivariate setting, allowing for the simultaneous handling of multiple time series attached to different geographical regions, together with a spatial (graph-based) regularization of their evolutions in time. In that spirit, the overarching goal of the present work is twofold: (1) proposing a new, more versatile framework for the estimation of R(t) within the semi-parametric model of [8, 10] , reformulating its estimation as an inverse problem whose functional is minimized by using non smooth proximal-based convex optimization; (2) inserting this approach in an extended multivariate framework, with applications to various complementary datasets corresponding to different geographical regions. ./cache/cord-292475-jrl1fowa.txt ./txt/cord-292475-jrl1fowa.txt