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Interplay between concentration, complexity and geometry in learning theory with applications to high dimensional data analysis

In this document I present the works I undertook since the end of my Ph.D. I started my Ph.D in September 2004 at the Laboratoire de Probabilit{é}s et Mod{é}les Al{é}atoires of Universit{é} Paris 6. I was then hired in October 2007 by the CNRS and spent my first two years at the Laboratoire d'Analyse, Topologie et Probabilit{é} in Marseille. In 2009, I moved to the Laboratoire d'Analyse et Math{é}matiques Appliqu{é}es at the Universit{é} Paris-Est Marne-la-vall{é}e. I will also use the opportunity of writing this manuscript to add some remarks and extensions to these works.

Identiferoai:union.ndltd.org:CCSD/oai:tel.archives-ouvertes.fr:tel-00654100
Date08 December 2011
CreatorsLecué, Guillaume
PublisherUniversité Paris-Est
Source SetsCCSD theses-EN-ligne, France
LanguageEnglish
Detected LanguageEnglish
Typehabilitation ࠤiriger des recherches

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