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Multi-component polymer systems are important for the development of new materials because of their ability to phase-separate or self-assemble into nano-structures. The Single-Chain-in-Mean-Field (SCMF) algorithm in conjunction with a soft,…

Computational Physics · Physics 2018-09-05 Ludwig Schneider , Marcus Müller

The hybrid Monte Carlo (HMC) algorithm is arguably the most efficient sampling method for general probability distributions of continuous variables. Together with exact Fourier acceleration (EFA) the HMC becomes equivalent to direct…

High Energy Physics - Lattice · Physics 2025-07-23 Johann Ostmeyer

The dynamics of a polydisperse model glassformer are investigated by augmenting molecular dynamics (MD) simulation with swap Monte Carlo (SMC). Three variants of the SMC algorithm are analyzed with regard to convergence and performance. We…

Soft Condensed Matter · Physics 2023-05-09 Niklas Küchler , Jürgen Horbach

We extend the single-mode Approximation (SMA) into quantum Monte Carlo simulations to provides an efficient and fast method to obtain the dynamical dispersion of quantum many-body systems. Based on stochastic series expansion (SSE) and its…

Strongly Correlated Electrons · Physics 2024-11-25 Yan Liu , Kemeng Wu , Shutao Liu , Yan-Cheng Wang , Jie Lou , Zheng Yan , Yan Chen

Coulomb collisions in particle simulations for weakly coupled plasmas are modeled by the Landau-Fokker-Planck equation, which is typically solved by Monte-Carlo (MC) methods. One of the main disadvantages of MC is the timestep accuracy…

Computational Physics · Physics 2025-01-03 G. Chen , A. J. Stanier , L. Chacón , S. E. Anderson , B. Philip

Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo (MCMC) approach that exhibits favourable exploration properties in high-dimensional models such as neural networks. Unfortunately, HMC has limited use in large-data regimes and…

Machine Learning · Statistics 2020-10-15 Adam D. Cobb , Brian Jalaian

Self-learning hybrid Monte Carlo (SLHMC) is a first-principles simulation that allows for exact ensemble generation on potential energy surfaces based on density functional theory. The statistical sampling can be accelerated with the…

Disordered Systems and Neural Networks · Physics 2021-07-28 Keita Kobayashi , Yuki Nagai , Mitsuhiro Itakura , Motoyuki Shiga

The microscopic description of collectivity in heavy nuclei in the framework of the configuration-interaction shell model has been a major challenge. The size of the model space required for the description of heavy nuclei prohibits the use…

Nuclear Theory · Physics 2015-06-18 C. Özen , Y. Alhassid , H. Nakada

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…

Machine Learning · Statistics 2023-09-21 Yuma Ichikawa , Akira Nakagawa , Hiromoto Masayuki , Yuhei Umeda

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

Computation · Statistics 2021-09-17 Naoki Awaya , Yasuhiro Omori

Discrete-state, continuous-time Markov models are becoming commonplace in the modelling of biochemical processes. The mathematical formulations that such models lead to are opaque, and, due to their complexity, are often considered…

Quantitative Methods · Quantitative Biology 2017-10-31 Christopher Lester

Reaction-diffusion models are widely used to study spatially-extended chemical reaction systems. In order to understand how the dynamics of a reaction-diffusion model are affected by changes in its input parameters, efficient methods for…

Quantitative Methods · Quantitative Biology 2017-03-08 Christopher Lester , Christian A. Yates , Ruth E. Baker

Various strategies to implement efficiently QMC simulations for large chemical systems are presented. These include: i.) the introduction of an efficient algorithm to calculate the computationally expensive Slater matrices. This novel…

Performance · Computer Science 2019-05-28 Anthony Scemama , Michel Caffarel , Emmanuel Oseret , William Jalby

This work introduces a new method designed for Bayesian deep learning called scalable Bayesian Monte Carlo (SBMC). The method is comprised of a model and an algorithm. The model interpolates between a point estimator and the posterior. The…

High entropy alloys (HEAs) are a series of novel materials that demonstrate many exceptional mechanical properties. To understand the origin of these attractive properties, it is important to investigate the thermodynamics and elucidate the…

Materials Science · Physics 2020-11-03 Xianglin Liu , Jiaxin Zhang , Junqi Yin , Sirui Bi , Markus Eisenbach , Yang Wang

Process variations are a major concern in today's chip design since they can significantly degrade chip performance. To predict such degradation, existing circuit and MEMS simulators rely on Monte Carlo algorithms, which are typically too…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Zheng Zhang , Xiu Yang , Giovanni Marucci , Paolo Maffezzoni , Ibrahim , M. Elfadel , George Em Karniadakis , Luca Daniel

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) method for performing approximate inference in complex probabilistic models of continuous variables. In common with many MCMC methods, however, the standard HMC…

Computation · Statistics 2017-04-12 Matthew M. Graham , Amos J. Storkey

Hamiltonian Monte Carlo (HMC) has emerged as a powerful Markov Chain Monte Carlo (MCMC) method to sample from complex continuous distributions. However, a fundamental limitation of HMC is that it can not be applied to distributions with…

Computation · Statistics 2021-12-10 Guangyao Zhou

Can a scientific simulation system be physically consistent, interpretable by design, and scalable across regimes--all at once? Despite decades of progress, this trifecta remains elusive. Classical methods like Kinetic Monte Carlo ensure…

Artificial Intelligence · Computer Science 2025-07-02 Qi Li , Kun Li , Haozhi Han , Honghui Shang , Xinfu He , Yunquan Zhang , Hong An , Ting Cao , Mao Yang

This study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distribution which is a standard method for solving well-stirred…

Numerical Analysis · Computer Science 2014-10-31 Azam S. Zavar Moosavi , Paul Tranquilli , Adrian Sandu