332 citations
- Psychiatric Medicine AssociatesUS67 papers
- Sorbonne UniversitéFR58 papers
- Université Paris CitéFR44 papers
- Centre National de la Recherche ScientifiqueFR37 papers
- Université Paris NanterreFR14 papers
- Département de mathématiques et applicationsFR12 papers
- École Normale Supérieure - PSLFR12 papers
- Institut de Mathématiques de MarseilleFR12 papers
- Centre de Recherche en Économie et StatistiqueFR10 papers
- Centre de Recherche en Mathématiques de la DécisionFR8 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Laboratoire de Statistique Théorique et AppliquéeFR8 papers
5 papers · 2 filters
Estimating the intensity of a random measure by histogram type estimators
Yannick Baraud, Lucien Birgé
The purpose of this paper is to estimate the intensity of some random measure by a piecewise constant function on a finite partition of the underlying measurable space. Given a (po…
PAC-Bayesian inductive and transductive learning
Olivier Catoni
We present here a PAC-Bayesian point of view on adaptive supervised classification. Using convex analysis, we show how to get local measures of the complexity of the classification…
The Brouwer Lecture 2005: Statistical estimation with model selection
Lucien Birgé
The purpose of this paper is to explain the interest and importance of (approximate) models and model selection in Statistics. Starting from the very elementary example of histogra…
Independent Component Analysis and estimation of a quadratic functional
Pascal Barbedor
Independent component analysis (ICA) is linked up with the problem of estimating a non linear functional of a density, for which optimal estimators are well known. The precision of…
Density estimation with quadratic loss: a confidence intervals method
Pierre Alquier
In a previous article, a least square regression estimation procedure was proposed: first, we condiser a family of functions and study the properties of an estimator in every unidi…