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We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

统计力学 · 物理学 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

This paper presents a novel event camera simulation system fully based on physically based Monte Carlo path tracing with adaptive path sampling. The adaptive sampling performed in the proposed method is based on a statistical technique,…

计算机视觉与模式识别 · 计算机科学 2024-08-16 Yuichiro Manabe , Tatsuya Yatagawa , Shigeo Morishima , Hiroyuki Kubo

Sampling-based motion planning methods, while effective in high-dimensional spaces, often suffer from inefficiencies due to irregular sampling distributions, leading to suboptimal exploration of the configuration space. In this paper, we…

机器人学 · 计算机科学 2025-08-28 Makram Chahine , T. Konstantin Rusch , Zach J. Patterson , Daniela Rus

Monte Carlo methods are widely used to estimate observables in many-body quantum systems. However, conventional sampling schemes often require a large number of samples to achieve sufficient accuracy. In this work we propose the…

量子物理 · 物理学 2026-01-29 Wenxuan Zhang , Dingzu Wang , Dario Poletti

Equilibrium systems evolve according to Detailed Balance (DB). This principe guided development of the Monte-Carlo sampling techniques, of which Metropolis-Hastings (MH) algorithm is the famous representative. It is also known that DB is…

统计力学 · 物理学 2015-07-15 Konstantin S. Turitsyn , Michael Chertkov , Marija Vucelja

In this manuscript, we present a novel approach for sampling from a continuous multivariate probability distribution, which may either be explicitly known (up to a normalization factor) or represented via empirical samples. Our method…

机器学习 · 统计学 2025-03-14 Hamidreza Behjoo , Michael Chertkov

This paper addresses the problem of sampling from binary distributions with constraints. In particular, it proposes an MCMC method to draw samples from a distribution of the set of all states at a specified distance from some reference…

统计计算 · 统计学 2012-03-19 Firas Hamze , Nando de Freitas

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

机器学习 · 统计学 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

The paper presents a novel learning-based sampling strategy that guarantees rejection-free sampling of the free space under both biased and approximately uniform conditions, leveraging multivariate kernel densities. Historical data from a…

机器人学 · 计算机科学 2025-05-15 Thomas T. Enevoldsen , Roberto Galeazzi

Smoothing in state-space models amounts to computing the conditional distribution of the latent state trajectory, given observations, or expectations of functionals of the state trajectory with respect to this distributions. For models that…

统计计算 · 统计学 2010-11-10 Jimmy Olsson , Tobias Rydén

The goal of this article is to introduce the Hamiltonian Monte Carlo (HMC) method -- a Hamiltonian dynamics-inspired algorithm for sampling from a Gibbs density $\pi(x) \propto e^{-f(x)}$. We focus on the "idealized" case, where one can…

数据结构与算法 · 计算机科学 2021-08-30 Nisheeth K. Vishnoi

We propose Continual Repeated Annealed Flow Transport Monte Carlo (CRAFT), a method that combines a sequential Monte Carlo (SMC) sampler (itself a generalization of Annealed Importance Sampling) with variational inference using normalizing…

机器学习 · 统计学 2023-04-07 Alexander G. D. G. Matthews , Michael Arbel , Danilo J. Rezende , Arnaud Doucet

Hamiltonian Monte Carlo (HMC) is a popular method in sampling. While there are quite a few works of studying this method on various aspects, an interesting question is how to choose its integration time to achieve acceleration. In this…

机器学习 · 计算机科学 2023-02-16 Jun-Kun Wang , Andre Wibisono

Efficient sampling from high-dimensional distributions is a challenging issue which is encountered in many large data recovery problems involving Markov chain Monte Carlo schemes. In this context, sampling using Hamiltonian dynamics is one…

统计方法学 · 统计学 2015-02-02 Lotfi Chaari , Jean-Yves Tourneret , Caroline Chaux , Hadj Batatia

The problem of sampling constrained continuous distributions has frequently appeared in many machine/statistical learning models. Many Monte Carlo Markov Chain (MCMC) sampling methods have been adapted to handle different types of…

统计计算 · 统计学 2023-02-21 Shiwei Lan , Lulu Kang

An easy-to-implement form of the Metropolis Algorithm is described which, unlike most standard techniques, is well suited to sampling from multi-modal distributions on spaces with moderate numbers of dimensions (order ten) in environments…

高能物理 - 唯象学 · 物理学 2008-11-26 Benjamin C. Allanach , Christopher G. Lester

Any search or sampling algorithm for solution of inverse problems needs guidance to be efficient. Many algorithms collect and apply information about the problem on the fly, and much improvement has been made in this way. However, as a…

地球物理 · 物理学 2021-05-19 Sarouyeh Khoshkholgh , Andrea Zunino , Klaus Mosegaard

Quasi-Monte Carlo methods have proven to be effective extensions of traditional Monte Carlo methods in, amongst others, problems of quadrature and the sample path simulation of stochastic differential equations. By replacing the random…

定量方法 · 定量生物学 2019-12-12 Casper H. L. Beentjes , Ruth E. Baker

We describe and analyze some Monte Carlo methods for manifolds in Euclidean space defined by equality and inequality constraints. First, we give an MCMC sampler for probability distributions defined by un-normalized densities on such…

数值分析 · 数学 2017-09-21 Emilio Zappa , Miranda Holmes-Cerfon , Jonathan Goodman

We present powerful new analysis techniques to constrain effective field theories at the LHC. By leveraging the structure of particle physics processes, we extract extra information from Monte-Carlo simulations, which can be used to train…

高能物理 - 唯象学 · 物理学 2018-09-19 Johann Brehmer , Kyle Cranmer , Gilles Louppe , Juan Pavez