Aggregation of estimators and classifiers : theory and methods

This thesis is devoted to the study of both theoretical and practical properties of various aggregation techniques. We first extend the PAC-Bayesian theory to the high dimensional paradigm in the additive and logistic regression settings. We prove that our estimators are nearly minimax optimal, and we provide an MCMC implementation, backed up by numerical simulations. Next, we introduce an original nonlinear aggregation strategy. Its theoretical merits are presented, and we benchmark the method---called COBRA---on a lengthy series of numerical experiments. Finally, a Bayesian approach to model admixture in population genetics is presented, along with its MCMC implementation. All approaches introduced in this thesis are freely available on the author's website.

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Field Value
Source https://theses.hal.science/tel-00922353
Author Guedj, Benjamin
Maintainer CCSD
Last Updated May 7, 2026, 16:54 (UTC)
Created May 7, 2026, 16:54 (UTC)
Identifier tel-00922353
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Statistique Théorique et Appliquée (LSTA) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
creator Guedj, Benjamin
date 2013-12-04T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-08-12T00:00:00
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