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Agrégation d’estimateurs et optimisation stochastique

Alexandre B. Tsybakov — 2008

Journal de la société française de statistique

Cet article fait suite à la Conférence Lucien Le Cam que j’ai eu l’honneur de donner lors des XXXVIIèmes Journées de Statistique à Pau, en 2005. Il présente un aperçu de quelques résultats récents sur les méthodes d’agrégation d’estimateurs. Ces méthodes consistent à construire, à partir d’un ensemble de M estimateurs donnés, une combinaison linéaire ou convexe de ces estimateurs avec des poids aléatoires choisis de façon optimale. Nous mettons l’accent sur le lien entre agrégation et optimisation...

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