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In solving simulation-based stochastic root-finding or optimization problems that involve rare events, such as in extreme quantile estimation, running crude Monte Carlo can be prohibitively inefficient. To address this issue, importance…

统计方法学 · 统计学 2021-02-23 Shengyi He , Guangxin Jiang , Henry Lam , Michael C. Fu

Adaptive Monte Carlo methods are very efficient techniques designed to tune simulation estimators on-line. In this work, we present an alternative to stochastic approximation to tune the optimal change of measure in the context of…

概率论 · 数学 2009-10-23 Benjamin Jourdain , Jérôme Lelong

We present an efficient Monte Carlo method to simulate reaction-diffusion processes with spatially varying particle annihilation or transformation rates as it occurs for instance in the context of motor-driven intracellular transport. Like…

统计力学 · 物理学 2013-05-20 Karsten Schwarz , Heiko Rieger

Importance sampling is one of the most widely used variance reduction strategies in Monte Carlo rendering. In this paper, we propose a novel importance sampling technique that uses a neural network to learn how to sample from a desired…

机器学习 · 计算机科学 2024-03-25 Quan Zheng , Matthias Zwicker

We discuss the efficiency of Monte Carlo methods in solving continuum radiative transfer problems. The sampling of the radiation field and convergence of dust temperature calculations in the case of optically thick clouds are both studied.…

天体物理学 · 物理学 2009-11-10 M. Juvela

We propose an adaptive importance sampling scheme for Gaussian approximations of intractable posteriors. Optimization-based approximations like variational inference can be too inaccurate while existing Monte Carlo methods can be too slow.…

统计计算 · 统计学 2025-02-04 Willem van den Boom , Andrea Cremaschi , Alexandre H. Thiery

This paper presents a tool for addressing a key component in many algorithms for planning robot trajectories under uncertainty: evaluation of the safety of a robot whose actions are governed by a closed-loop feedback policy near a nominal…

机器人学 · 计算机科学 2017-06-05 Edward Schmerling , Marco Pavone

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

统计计算 · 统计学 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

The computational cost of a Monte Carlo algorithm can only be meaningfully discussed when taking into account the magnitude of the resulting statistical error. Aiming for a fixed error per particle, we study the scaling behavior of the…

计算物理 · 物理学 2010-02-11 Norbert Nemec

We study a sequential Monte Carlo algorithm to sample from the Gibbs measure with a non-convex energy function at a low temperature. We use the practical and popular geometric annealing schedule, and use a Langevin diffusion at each…

统计理论 · 数学 2026-01-13 Ruiyu Han , Gautam Iyer , Dejan Slepčev

Recently, a diffusion Monte Carlo algorithm was applied to the study of spin dependent interactions in condensed matter. Following some of the ideas presented therein, and applied to a Hamiltonian containing a Rashba-like interaction, a…

The reduced density matrix of excitons coupled to a phonon bath at a finite temperature is studied using the path integral Monte Carlo method. Appropriate choices of estimators and importance sampling schemes are crucial to the performance…

量子物理 · 物理学 2015-06-04 Sangwoo Shim , Alán Aspuru-Guzik

We introduce and implement an importance-sampling Monte Carlo algorithm to study systems of globally-coupled oscillators. Our computational method efficiently obtains estimates of the tails of the distribution of various measures of…

混沌动力学 · 物理学 2017-07-12 Shamik Gupta , Jorge C. Leitao , Eduardo G. Altmann

We present a new method for conducting Monte Carlo inference in graphical models which combines explicit search with generalized importance sampling. The idea is to reduce the variance of importance sampling by searching for significant…

机器学习 · 计算机科学 2013-01-18 Dale Schuurmans , Finnegan Southey

Computation of extreme quantiles and tail-based risk measures using standard Monte Carlo simulation can be inefficient. A method to speed up computations is provided by importance sampling. We show that importance sampling algorithms,…

概率论 · 数学 2009-09-21 Henrik Hult , Jens Svensson

Importance sampling is a promising variance reduction technique for Monte Carlo simulation based derivative pricing. Existing importance sampling methods are based on a parametric choice of the proposal. This article proposes an algorithm…

应用统计 · 统计学 2009-04-14 Jan C. Neddermeyer

Sequential Monte Carlo techniques are useful for state estimation in non-linear, non-Gaussian dynamic models. These methods allow us to approximate the joint posterior distribution using sequential importance sampling. In this framework,…

统计计算 · 统计学 2012-07-09 Mike Klaas , Nando de Freitas , Arnaud Doucet

To efficiently evaluate system reliability based on Monte Carlo simulation, importance sampling is used widely. The optimal importance sampling density was derived in 1950s for the deterministic simulation model, which maps an input to an…

统计方法学 · 统计学 2019-06-04 Quoc Dung Cao , Youngjun Choe

Adaptive importance sampling is a widely spread Monte Carlo technique that uses a re-weighting strategy to iteratively estimate the so-called target distribution. A major drawback of adaptive importance sampling is the large variance of the…

统计理论 · 数学 2021-11-01 Anna Korba , François Portier

We show that the variance of the Monte Carlo estimator that is importance sampled from an exponential family is a convex function of the natural parameter of the distribution. With this insight, we propose an adaptive importance sampling…

统计方法学 · 统计学 2015-01-12 Ernest K. Ryu , Stephen P. Boyd