1 citations · 1 across the 10 of their papers we have counts for
13 papers
Csiszár indices and interpolating copulas
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We study various properties of -divergences and Csiszár indices between two probability distributions in very general setups for the convex function and for the probability…
Equivalence by coupling for heterogeneous SIS models*
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the optimal allocation of (perfect) vaccine in an heterogeneous SIS model. Using a coupling approach, we explain how different models for the heterogeneity of the popul…
Topological Properties of the Effective Reproduction Number in an Heterogeneous SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
This present results lay the foundations for the study of the optimal allocation of vaccine in the simple epidemiological SIS model where one consider a very general heterogeneous…
Optimal Vaccination Strategies for an Heterogeneous SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We study in a general mathematical framework the optimal allocation of vaccine in an heterogeneous population. We cast the problem of optimal vaccination as a bi-objective minimiza…
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
We consider an infinite-dimension SIS model introduced by Delmas, Dronnier and Zitt, with a more general incidence rate, and study its equilibria. Unsurprisingly, there exists at l…
Transformations preserving the effective spectral radius of a matrix
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We discuss transformations on matrices that preserve the effective spectrum and/or the effective spectral radius.
Atoms and associated spectral properties for positive operators on L^p
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
Inspired by Schwartz, Jang-Lewis and Victory, who study in particular generalizations of triangularizations of matrices to operators, we shall give for positive operators on Lebesg…
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…
Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We study the problem of model selection type aggregation with respect to the Kullback-Leibler divergence for various probabilistic models. Rather than considering a convex combinat…
Maximum entropy distribution of order statistics with given marginals
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We consider distributions of ordered random vectors with given one-dimensional marginal distributions. We give an elementary necessary and sufficient condition for the existence of…