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Off-the-grid prediction and testing for linear combination of translated features
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We consider a model where a signal (discrete or continuous) is observed with an additive Gaussian noise process. The signal is issued from a linear combination of a finite but incr…
Vaccinating according to the maximal endemic equilibrium achieves herd immunity
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional…
The effective reproduction number: convexity, concavity and invariance
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
Motivated by the question of optimal vaccine allocation strategies in heterogeneous population for epidemic models, we study various properties of the \emph{effective reproduction…
Simultaneous off-the-grid learning of mixtures issued from a continuous dictionary
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
In this paper we observe a set, possibly a continuum, of signals corrupted by noise. Each signal is a finite mixture of an unknown number of features belonging to a continuous dict…