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: Context (language use) & Population. The organization has 1766 authors who have published 6909 publications receiving 162747 citations. The organization is also known as: Paris Dauphine & Dauphine.

Looking for the Bernoulli shift

Abstract: We prove a result on the topological entropy of a large class of Hamiltonian systems. This result is obtained variationally by constructing “multibump” homoclinic solutions.

Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations

Abstract: Many problems from mass transport can be reformulated as variational problems under a prescribed divergence constraint (static problems) or subject to a time-dependent continuity equation, which again can be formulated as a divergence constraint but in time and space. The variational class of mean field games, introduced by Lasry and Lions, may also be interpreted as a generalization of the time-dependent optimal transport problem. Following Benamou and Brenier, we show that augmented Lagrangian methods are well suited to treat such convex but non-smooth problems. They include in particular Monge historic optimal transport problem. A finite-element discretization and implementation of the method are used to provide numerical simulations and a convergence study.

Sociologie pragmatique : mode d'emploi

Abstract: En trente ans, la « sociologie pragmatique » (aussi denommee « sociologie des epreuves ») a produit des enquetes empiriques touchant a l’ensemble des domaines de la vie sociale. En conformite avec les postulats theoriques qu’ils entendaient defendre, les chercheurs qui se reconnaissent dans ce courant sociologique ont mis au point des facons sensiblement nouvelles de conduire l’enquete, de collecter les donnees, d’explorer les terrains, de penser par cas et de se servir des controverses et des affaires comme points d’entree dans l’ordre social et dans la question de sa problematique reproduction. L’objectif de cet article est de caracteriser en dix points le style pragmatique en sociologie et de preciser ce que sont ses requisits methodologiques et ses consequences pratiques dans la conduite du travail d’enquete.

On selection dynamics for continuous structured populations

Abstract: In this paper, we provide results about the long time behavior of integrodifferential equations appearing in the study of populations structured with respect to a quantitative (continuous) trait, which are submitted to selection (or competition).

Statistical methods for linguistic research: Foundational Ideas—Part II

Abstract: We present the fundamental ideas underlying statistical hypothesis testing using the frequentist framework. We start with a simple example that builds up the one-sample t-test from the beginning, explaining important concepts such as the sampling distribution of the sample mean, and the iid assumption. Then, we examine the meaning of the p-value in detail and discuss several important misconceptions about what a p-value does and does not tell us. This leads to a discussion of Type I, II error and power, and Type S and M error. An important conclusion from this discussion is that one should aim to carry out appropriately powered studies. Next, we discuss two common issues that we have encountered in psycholinguistics and linguistics: running experiments until significance is reached and the ‘garden-of-forking-paths’ problem discussed by Gelman and others. The best way to use frequentist methods is to run appropriately powered studies, check model assumptions, clearly separate exploratory data analysis from planned comparisons decided upon before the study was run, and always attempt to replicate results.