Paris Dauphine University

About: Paris Dauphine University is a education organization based out in Paris, France. It is known for research contribution in the topics: Population & Approximation algorithm. The organization has 1766 authors who have published 6909 publications receiving 162747 citations. The organization is also known as: Paris Dauphine & Dauphine.

Comparison results for elliptic and parabolic equations via Schwarz symmetrization

Abstract: We study various extensions to general linear or nonlinear, elliptic or parabolic operators of a celebrated result due to G. Talenti. We give several comparison results for solutions of such problems involving the solutions of conveniently symmetrized problems, using Schwarz spherical symmetrization.

Entropic metric alignment for correspondence problems

Abstract: Many shape and image processing tools rely on computation of correspondences between geometric domains. Efficient methods that stably extract "soft" matches in the presence of diverse geometric structures have proven to be valuable for shape retrieval and transfer of labels or semantic information. With these applications in mind, we present an algorithm for probabilistic correspondence that optimizes an entropy-regularized Gromov-Wasserstein (GW) objective. Built upon recent developments in numerical optimal transportation, our algorithm is compact, provably convergent, and applicable to any geometric domain expressible as a metric measure matrix. We provide comprehensive experiments illustrating the convergence and applicability of our algorithm to a variety of graphics tasks. Furthermore, we expand entropic GW correspondence to a framework for other matching problems, incorporating partial distance matrices, user guidance, shape exploration, symmetry detection, and joint analysis of more than two domains. These applications expand the scope of entropic GW correspondence to major shape analysis problems and are stable to distortion and noise.

Inequality of opportunities in health in France: a first pass.

Abstract: This article analyses the role played by childhood circumstances, especially social and family background in explaining health status among older adults. We explore the hypothesis of an intergenerational transmission of health inequalities using the French part of SHARE. As the impact of both social background and parents’ health on health status in adulthood represents circumstances independent of individual responsibility, this study allows us testing the existence in France of inequalities of opportunity in health related to family and social background. Empirically, our study relies on both tests of stochastic dominance at first order and multivariate regressions, supplemented by a counterfactual analysis to evaluate the long-lasting impact of childhood conditions on inequality in health. Allocating the best circumstances in both parents’ SES and parents’ health reduces inequality in health by an impressive 57% using the Gini coefficient. The mother’s social status has a direct effect on the health of her offspring. By contrast, the effect on the descendant’s health from the father’s social status is indirect only, going through the descendant’s social status as an adult. There is also a strong effect of the father vital status on health in adulthood, revealing a selection effect.

Morse index of some min‐max critical points. I. Application to multiplicity results

Abstract: On donne un resultat general sur des bornes inferieures pour des indices de Morse de points critiques obtenus par des principes de min-max. En combinant cette information avec une inegalite semiclassique on obtient des estimations pointues sur la croissance de certaines valeurs critiques, a partir desquelles on deduit de nouveaux resultats de multiplicite pour des solutions d'equations elliptiques semi-lineaires d'ordre 2