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The computational complexity of simultaneous inference methods in high-dimensional linear regression models quickly increases with the number variables. This paper proposes a computationally efficient method based on the Moore-Penrose…

统计理论 · 数学 2021-02-02 Tom Boot , Didier Nibbering

We present Quantum Monte Carlo simulations of a generalization of the Feynman-Kikuchi model which includes the possibility of vacancies and interactions between the particles undergoing exchange. By measuring the winding number (superfluid…

统计力学 · 物理学 2013-05-29 A. Zujev , R. T. Scalettar

The ability of widely used sampling methods, such as molecular dynamics or Monte Carlo, to explore complex free energy landscapes is severely hampered by the presence of kinetic bottlenecks. A large number of solutions have been proposed to…

统计力学 · 物理学 2014-08-29 Omar Valsson , Michele Parrinello

Generative diffusions are a powerful class of Monte Carlo samplers that leverage bridging Markov processes to approximate complex, high-dimensional distributions, such as those found in image processing and language models. Despite their…

机器学习 · 统计学 2025-02-20 Zheng Zhao , Ziwei Luo , Jens Sjölund , Thomas B. Schön

Monte Carlo simulations are one of the major tools in statistical physics, complex system science, and other fields, and an increasing number of these simulations is run on distributed systems like clusters or grids. This raises the issue…

其他凝聚态物理 · 物理学 2007-07-03 Heiko Bauke , Stephan Mertens

We determine the optimal scaling of local-update flat-histogram methods with system size by using a perfect flat-histogram scheme based on the exact density of states of 2D Ising models.The typical tunneling time needed to sample the entire…

统计力学 · 物理学 2007-05-23 P. Dayal , S. Trebst , S. Wessel , D. Wuertz , M. Troyer , S. Sabhapandit , S. N. Coppersmith

The sampling importance resampling method is widely utilized in various fields, such as numerical integration and statistical simulation. In this paper, two modified methods are presented by incorporating two variance reduction techniques…

统计计算 · 统计学 2024-08-28 Yao Xiao , Kang Fu , Kun Li

In any valid Monte Carlo sampling that realizes microcanonical property we can collect statistics for a transition matrix in energy. This matrix is used to determine the density of states, from which most of the thermodynamical averages can…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang

A simple reweighting scheme is proposed for Monte Carlo simulations of interacting particle systems, permitting one to study various parameter values in a single study, and improving efficiency by an order of magnitude. Unlike earlier…

统计力学 · 物理学 2009-10-31 Ronald Dickman

We applied a multicanonical algorithm (entropic sampling) to a two-dimensional and a three-dimensional Lennard-Jones system with quasicrystalline and glassy ground states. Focusing on the ability of the algorithm to locate low lying energy…

统计力学 · 物理学 2009-10-30 Kamal K. Bhattacharya , James P. Sethna

In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

统计力学 · 物理学 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

We combine replica exchange (parallel tempering) with normalizing flows, a class of deep generative models. These two sampling strategies complement each other, resulting in an efficient strategy for sampling molecular systems characterized…

计算物理 · 物理学 2022-12-14 Michele Invernizzi , Andreas Krämer , Cecilia Clementi , Frank Noé

We propose a new Monte Carlo method for efficiently sampling trajectories with fixed initial and final conditions in a system with discrete degrees of freedom. The method can be applied to any stochastic process with local interactions,…

统计力学 · 物理学 2012-03-30 Thierry Mora , Aleksandra M. Walczak , Francesco Zamponi

In replica exchange Monte Carlo (REM), tuning of the temperature set and the exchange scheduling are crucial in improving the accuracy and reducing calculation time. In multi-dimensional simulated tempering, the first order phase transition…

统计力学 · 物理学 2016-12-28 Kenji Kimura , Saburo Higuchi

We propose sequential Monte Carlo (SMC) methods for sampling the posterior distribution of state-space models under highly informative observation regimes, a situation in which standard SMC methods can perform poorly. A special case is…

统计计算 · 统计学 2015-07-10 Pierre Del Moral , Lawrence M. Murray

Monte Carlo simulation is an important tool for modeling highly nonlinear systems (like particle colliders and cellular membranes), and random, floating-point numbers are their fuel. These random samples are frequently generated via the…

统计计算 · 统计学 2018-02-16 Keith Pedersen

We investigate the behavior of the deviation of the estimator for the density of states (DOS) with respect to the exact solution in the course of Wang-Landau and Stochastic Approximation Monte Carlo (SAMC) simulations of the two-dimensional…

统计力学 · 物理学 2017-03-08 Simon Schneider , Marco Mueller , Wolfhard Janke

The statistical significance of network properties is conditioned on null models which satisfy spec- ified properties but that are otherwise random. Exponential random graph models are a principled theoretical framework to generate such…

物理与社会 · 物理学 2015-11-18 Rico Fischer , Jorge C. Leitao , Tiago P. Peixoto , Eduardo G. Altmann

We present an efficient sampling method for computing a partition function and accelerating configuration sampling. The method performs a random walk in the $\lambda$ space, with $\lambda$ being any thermodynamic variable that characterizes…

计算物理 · 物理学 2010-03-02 Cheng Zhang , Jianpeng Ma

Relative free energy calculations are now widely used in academia and industry, but the accuracy is often limited by poor sampling of the complexes conformational ensemble. To address this, we have developed a novel method termed…

化学物理 · 物理学 2025-08-12 Anika J. Friedman , Wei-Tse Hsu , Michael R. Shirts