A non asymptotic variance theorem for unnormalized Feynman-Kac particle models - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2008

A non asymptotic variance theorem for unnormalized Feynman-Kac particle models

Abstract

We present a non asymptotic theorem for interacting particle approximations of unnormalized Feynman-Kac models. We provide an original stochastic analysis based on Feynman-Kac semigroup techniques combined with recently developed coalescent tree-based functional representations of particle block distributions. We present some regularity conditions under which the $\LL_2$-relative error of these weighted particle measures grows linearly with respect to the time horizon yielding what seems to be the first results of this type for this class of unnormalized models. We also illustrate these results in the context of particle simulation of static Boltzmann-Gibbs measures and restricted distributions, with a special interest in rare event analysis.
Fichier principal
Vignette du fichier
RR-6716.pdf (313.15 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00337392 , version 1 (06-11-2008)

Identifiers

  • HAL Id : inria-00337392 , version 1

Cite

Frédéric Cérou, Pierre del Moral, Arnaud Guyader. A non asymptotic variance theorem for unnormalized Feynman-Kac particle models. [Research Report] RR-6716, INRIA. 2008. ⟨inria-00337392⟩
385 View
332 Download

Share

Gmail Facebook X LinkedIn More