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journal article

Improved Diffusion Monte Carlo

Hairer, Martin  
•
Weare, Jonathan
December 1, 2014
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

We propose a modification, based on the RESTART (repetitive simulation trials after reaching thresholds) and DPR (dynamics probability redistribution) rare event simulation algorithms, of the standard diffusion Monte Carlo (DMC) algorithm. The new algorithm has a lower variance per workload, regardless of the regime considered. In particular, it makes it feasible to use DMC in situations where the naive generalization of the standard algorithm would be impractical due to an exponential explosion of its variance. We numerically demonstrate the effectiveness of the new algorithm on a standard rare event simulation problem (probability of an unlikely transition in a Lennard-Jones cluster), as well as a high-frequency data assimilation problem. (c) 2014 Wiley Periodicals, Inc.

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Type
journal article
DOI
10.1002/cpa.21526
Web of Science ID

WOS:000343873200004

Author(s)
Hairer, Martin  
Weare, Jonathan
Date Issued

2014-12-01

Publisher

WILEY

Published in
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
Volume

67

Issue

12

Start page

1995

End page

2021

Subjects

DATA ASSIMILATION

•

GROUND-STATE

•

SIMULATION

•

Science & Technology

•

Physical Sciences

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
PROPDE  
FunderFunding(s)Grant NumberGrant URL

Direct For Mathematical & Physical Scien; Division Of Mathematical Sciences

1109731

Available on Infoscience
September 17, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/241238
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