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Accelerated Monte Carlo simulations with restricted Boltzmann machines

Open access
Huang, Li, Wang, Lei·2017·Physical Review B

Abstract

Despite their exceptional flexibility and popularity, Monte Carlo methods often suffer from slow mixing times for challenging statistical physics problems. We present a general strategy to overcome this difficulty by adopting ideas and techniques from the machine learning community. We fit the unnormalized probability of the physical model to a feed-forward neural network and reinterpret the architecture as a restricted Boltzmann machine. Then, exploiting its feature detection ability, we utilize the restricted Boltzmann machine to propose efficient Monte Carlo updates to speed up the simulation of the original physical system. We implement these ideas for the Falicov-Kimball model and demonstrate an improved acceptance ratio and autocorrelation time near the phase transition point.

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Metadata

Authors
Huang, L., & Wang, L.
Venue
Physical Review B
Published
2017-01-04
Volume
95
Issue
3
ISSN
  • 2469-9950 (ISSN-L)
  • 2469-9969
OpenAlex
W2530117613
Cited by
247
References
4
FWCI
21.91
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Accelerated Monte Carlo simulations with restricted Boltzmann machines. https://app.cochat.ai/papers/10.1103/physrevb.95.035105
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Huang, L., & Wang, L. (2017). Accelerated Monte Carlo simulations with restricted Boltzmann machines. Physical Review B. https://doi.org/10.1103/physrevb.95.035105

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