Rare Event Simulation for Stochastic Dynamics in Continuous Time

Letizia Angeli, Stefan Grosskinsky, Adam M. Johansen, Andrea Pizzoferrato

Research output: Contribution to journalArticlepeer-review

5 Citations (SciVal)

Abstract

Large deviations for additive path functionals of stochastic dynamics and related numerical approaches have attracted significant recent research interest. We focus on the question of convergence properties for cloning algorithms in continuous time, and establish connections to the literature of particle filters and sequential Monte Carlo methods. This enables us to derive rigorous convergence bounds for cloning algorithms which we report in this paper, with details of proofs given in a further publication. The tilted generator characterizing the large deviation rate function can be associated to non-linear processes which give rise to several representations of the dynamics and additional freedom for associated numerical approximations. We discuss these choices in detail, and combine insights from the filtering literature and cloning algorithms to compare different approaches and improve efficiency.

Original languageEnglish
Pages (from-to)1185-1210
Number of pages26
JournalJournal of Statistical Physics
Volume176
Early online date18 Jun 2019
DOIs
Publication statusPublished - 1 Sep 2019

Keywords

  • Cloning algorithm
  • Dynamic large deviations
  • Interacting particle systems
  • Sequential Monte Carlo

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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