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The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

强关联电子 · 物理学 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

We develop the self-learning Monte Carlo (SLMC) method, a general-purpose numerical method recently introduced to simulate many-body systems, for studying interacting fermion systems. Our method uses a highly-efficient update algorithm,…

强关联电子 · 物理学 2017-06-14 Junwei Liu , Huitao Shen , Yang Qi , Zi Yang Meng , Liang Fu

We study autocorrelation times of physical observables in lattice QCD as a function of the molecular dynamics trajectory length in the hybrid Monte-Carlo algorithm. In an interval of trajectory lengths where energy and reversibility…

高能物理 - 格点 · 物理学 2008-11-26 Harvey B. Meyer , Hubert Simma , Rainer Sommer , Michele Della Morte , Oliver Witzel , Ulli Wolff

Self-learning Monte Carlo method [arXiv:1610.03137, 1611.09364] is a powerful general-purpose numerical method recently introduced to simulate many-body systems. In this work, we implement this method in the framework of determinantal…

强关联电子 · 物理学 2018-07-12 Xiao Yan Xu , Yang Qi , Junwei Liu , Liang Fu , Zi Yang Meng

We describe a Fourier Accelerated Hybrid Monte Carlo algorithm suitable for dynamical fermion simulations of non-gauge models. We test the algorithm in supersymmetric quantum mechanics viewed as a one-dimensional Euclidean lattice field…

高能物理 - 格点 · 物理学 2011-07-28 S. Catterall , S. Karamov

We compare the performance of the Kramers Equation Monte Carlo (KMC) Algorithm with that of the Hybrid Monte Carlo (HMC) algorithm for numerical simulations with dynamical Kogut-Susskind fermions. Using the lattice Gross-Neveu model in 2…

高能物理 - 格点 · 物理学 2009-10-31 S. Basak , Asit K. De

To evaluate the effectiveness of machine learning in systems with competing interactions, we developed a self-learning quantum Monte Carlo (SLQMC) method to simulate the phase transition in the classical Holstein-spin-fermion model. In…

强关联电子 · 物理学 2025-09-09 Shaozhi Li

Self-learning Monte Carlo method (SLMC), using a trained effective model to guide Monte Carlo sampling processes, is a powerful general-purpose numerical method recently introduced to speed up simulations in (quantum) many-body systems. In…

强关联电子 · 物理学 2018-07-18 Chuang Chen , Xiao Yan Xu , Junwei Liu , George Batrouni , Richard Scalettar , Zi Yang Meng

We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is achieved by…

高能物理 - 格点 · 物理学 2011-11-08 Wolfgang Unger , Philippe de Forcrand

We introduce a new Monte Carlo method for pure gauge theories. It is not intended for use with dynamical fermions. It belongs to the class of Local Hybrid Monte Carlo (LHMC) algorithms, which make use of the locality of the action by…

高能物理 - 格点 · 物理学 2009-10-22 A. D. Kennedy , K. M. Bitar

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

统计力学 · 物理学 2009-11-07 A. van de Walle , M. Asta

We report developments of the kinetic Monte Carlo (KMC) method with improved accuracy and increased versatility for the description of atomic diffusivity on metal surfaces. The on-lattice constraint built into our recently proposed…

材料科学 · 物理学 2008-11-27 Oleg Trushin , Handan Yildirim , Abdelkader Kara , Talat S. Rahman

Self-learning Monte Carlo (SLMC) methods are recently proposed to accelerate Markov chain Monte Carlo (MCMC) methods using a machine learning model. With latent generative models, SLMC methods realize efficient Monte Carlo updates with less…

机器学习 · 统计学 2023-09-21 Yuma Ichikawa , Akira Nakagawa , Hiromoto Masayuki , Yuhei Umeda

Self-learning Monte Carlo (SLMC) method is a general algorithm to speedup MC simulations. Its efficiency has been demonstrated in various systems by introducing an effective model to propose global moves in the configuration space. In this…

强关联电子 · 物理学 2018-06-06 Huitao Shen , Junwei Liu , Liang Fu

The Hybrid Monte Carlo algorithm for the simulation of QCD with dynamical staggered fermions is compared with Kramers equation algorithm. We find substantially different autocorrelation times for local and nonlocal observables. The…

高能物理 - 格点 · 物理学 2009-10-28 M. E. Berbenni-Bitsch , A. P. Gottlob , S. Meyer , M. Puetz

We report on a study of the autocorrelation times of the local version of the Hybrid Monte Carlo (LHMC) algorithm for pure gauge $SU(3)$. We compare LHMC to standard multi-hit Metropolis and to the global version of the same HMC. For every…

高能物理 - 格点 · 物理学 2009-10-22 P. Marenzoni , L. Pugnetti , P. Rossi

We use Monte Carlo simulation to probe the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional four fermion term.…

高能物理 - 格点 · 物理学 2013-05-30 Simon Catterall , Richard Galvez , Jay Hubisz , Dhagash Mehta , Aarti Veernala

In this paper we propose new algorithm to reduce autocorrelation in Markov chain Monte-Carlo algorithms for euclidean field theories on the lattice. Our proposing algorithm is the Hybrid Monte-Carlo algorithm (HMC) with restricted Boltzmann…

高能物理 - 格点 · 物理学 2017-12-13 Akinori Tanaka , Akio Tomiya

Lattice gauge theories coupled to fermionic matter account for many interesting phenomena in both high energy physics and condensed matter physics. Certain regimes, e.g. at finite fermion density, are difficult to simulate with traditional…

高能物理 - 格点 · 物理学 2023-11-16 Julian Bender , Patrick Emonts , J. Ignacio Cirac

We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is obtained by…

高能物理 - 格点 · 物理学 2020-08-19 Marc Klegrewe , Wolfgang Unger
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