Adaptive multilevel splitting: Historical perspective and recent results

This article first presents a short historical perpective of the importance splitting approach to simulate and estimate rare events, with a detailed description of several variants. We then give an account of recent theoretical results on these algorithms, including a central limit theorem for Adapt...

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Published inChaos (Woodbury, N.Y.) Vol. 29; no. 4; p. 043108
Main Authors Cérou, Frédéric, Guyader, Arnaud, Rousset, Mathias
Format Journal Article
LanguageEnglish
Published United States 01.04.2019
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Summary:This article first presents a short historical perpective of the importance splitting approach to simulate and estimate rare events, with a detailed description of several variants. We then give an account of recent theoretical results on these algorithms, including a central limit theorem for Adaptive Multilevel Splitting (AMS). Considering the asymptotic variance in the latter, the choice of the importance function, called the reaction coordinate in molecular dynamics, is also discussed. Finally, we briefly mention some worthwhile applications of AMS in various domains.
ISSN:1089-7682
DOI:10.1063/1.5082247