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Cited by 249

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Self-learning Monte Carlo method

Open access
Liu, Junwei, Qi, Yang, Meng, Zi Yang, Fu, Liang·2017·Physical Review B

Abstract

Monte Carlo simulation is an unbiased numerical tool for studying classical and quantum many-body systems. One of its bottlenecks is the lack of a general and efficient update algorithm for large size systems close to the phase transition, for which local updates perform badly. In this Rapid Communication, we propose a general-purpose Monte Carlo method, dubbed self-learning Monte Carlo (SLMC), in which an efficient update algorithm is first learned from the training data generated in trial simulations and then used to speed up the actual simulation. We demonstrate the efficiency of SLMC in a spin model at the phase transition point, achieving a 10--20 times speedup.

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Metadata

Authors
Liu, J., Qi, Y., Meng, Z. Y., & Fu, L.
Venue
Physical Review B
Published
2017-01-04
Volume
95
Issue
4
ISSN
  • 2469-9950 (ISSN-L)
  • 2469-9969
OpenAlex
W2530819665
Cited by
249
References
1
FWCI
20.61
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Self-learning Monte Carlo method. https://app.cochat.ai/papers/10.1103/physrevb.95.041101
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Liu, J., Qi, Y., Meng, Z. Y., & Fu, L. (2017). Self-learning Monte Carlo method. Physical Review B. https://doi.org/10.1103/physrevb.95.041101

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