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The Adaptive Multiple Importance Sampling (AMIS) algorithm is aimed at an optimal recycling of past simulations in an iterated importance sampling scheme. The difference with earlier adaptive importance sampling implementations like…

Computation · Statistics 2011-10-04 Jean-Marie Cornuet , Jean-Michel Marin , Antonietta Mira , Christian P. Robert

In the research of Intelligent Transportation Systems (ITS), traffic simulation is a key procedure for the evaluation of new methods and optimization of strategies. However, existing traffic simulation systems face two challenges. First,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-22 Jun Zhang , Wenxuan Ao , Junbo Yan , Can Rong , Depeng Jin , Wei Wu , Yong Li

Growing scale of recommender systems require extensive tuning to respond to market dynamics and system changes. We address the challenge of tuning a large-scale ads recommendation platform with multiple continuous parameters influencing key…

Machine Learning · Computer Science 2024-10-08 Kaushal Paneri , Michael Munje , Kailash Singh Maurya , Adith Swaminathan , Yifan Shi

In this manuscript, inspired by a simpler reformulation of primary sample space Metropolis light transport, we derive a novel family of general Markov chain Monte Carlo algorithms called charted Metropolis-Hastings, that introduces the…

Graphics · Computer Science 2017-05-01 Jacopo Pantaleoni

Importance sampling (IS) is a widely used simulation method for estimating rare event probabilities. In IS, the relative variance of an estimator is the most common measure of estimator accuracy, and the focus of existing literature is on…

Statistics Theory · Mathematics 2026-01-05 Julie Choi , Peter Glynn

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

Markov chain Monte Carlo methods are a powerful and commonly used family of numerical methods for sampling from complex probability distributions. As applications of these methods increase in size and complexity, the need for efficient…

Numerical Analysis · Mathematics 2019-01-31 Colin Cotter , Simon Cotter , Paul Russell

A recently introduced Importance Sampling strategy based on a least squares optimization is applied to the Monte Carlo simulation of Libor Market Models. Such Least Squares Importance Sampling (LSIS) allows the automatic optimization of the…

Pricing of Securities · Quantitative Finance 2008-12-02 Luca Capriotti

The substantial memory demands of pre-training and fine-tuning large language models (LLMs) require memory-efficient optimization algorithms. One promising approach is layer-wise optimization, which treats each transformer block as a single…

Machine Learning · Computer Science 2026-01-15 Yuxi Liu , Renjia Deng , Yutong He , Xue Wang , Tao Yao , Kun Yuan

Importance sampling has been known as a powerful tool to reduce the variance of Monte Carlo estimator for rare event simulation. Based on the criterion of minimizing the variance of Monte Carlo estimator within a parametric family, we…

Methodology · Statistics 2013-02-11 Cheng-Der Fuh , Huei-Wen Teng , Ren-Her Wang

Multiple importance sampling (MIS) is an indispensable tool in rendering that constructs robust sampling strategies by combining the respective strengths of individual distributions. Its efficiency can be greatly improved by carefully…

Graphics · Computer Science 2024-10-29 Joshua Meyer , Alexander Rath , Ömercan Yazici , Philipp Slusallek

We propose a neural approach for estimating spatially varying light selection distributions to improve importance sampling in Monte Carlo rendering, particularly for complex scenes with many light sources. Our method uses a neural network…

Graphics · Computer Science 2025-05-20 Pedro Figueiredo , Qihao He , Steve Bako , Nima Khademi Kalantari

Importance Sampling (IS) is a widely used variance reduction technique for enhancing the efficiency of Monte Carlo methods, particularly in rare-event simulation and related applications. Despite its effectiveness, the performance of IS is…

Optimization and Control · Mathematics 2026-02-11 Liviu Aolaritei , Bart P. G. Van Parys , Henry Lam , Michael I. Jordan

Reinforcement Learning (RL) methods are typically sample-inefficient, making it challenging to train and deploy RL-policies in real world robots. Even a robust policy trained in simulation requires a real-world deployment to assess their…

Machine Learning · Computer Science 2023-10-06 Pulkit Katdare , Nan Jiang , Katherine Driggs-Campbell

The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While typically reliable methods, such as the Gillespie algorithm,…

Statistical Mechanics · Physics 2024-12-03 Elad Korngut , Ohad Vilk , Michael Assaf

In this manuscript, we introduce a novel technique for sampling and integrating direct illumination in the presence of many lights. Unlike previous work, the presented technique importance samples the product distribution of radiance and…

Graphics · Computer Science 2019-11-28 Jacopo Pantaleoni

The importance sampling (IS) method lies at the core of many Monte Carlo-based techniques. IS allows the approximation of a target probability distribution by drawing samples from a proposal (or importance) distribution, different from the…

Applications · Statistics 2017-04-21 Manuel A. Vázquez , Joaquín Míguez

This article is devoted to the design of importance sampling method for the Monte Carlo simulation of a linear transport equation. This model is of great importance in the simulation of inertial confinement fusion experiments. Our method is…

Numerical Analysis · Mathematics 2018-04-18 X Blanc , C Bordin , G Kluth , G Samba

We propose an importance sampling (IS)-based transport map Hamiltonian Monte Carlo procedure for performing full Bayesian analysis in general nonlinear high-dimensional hierarchical models. Using IS techniques to construct a transport map,…

Computation · Statistics 2019-12-11 Kjartan Kloster Osmundsen , Tore Selland Kleppe , Roman Liesenfeld

We present a general sample reweighting scheme and its underlying theory for the integration of an unknown function with low dimensionality. Our method produces better results than standard weighting schemes for common sampling strategies,…

Graphics · Computer Science 2019-08-07 Jerry Jinfeng Guo , Elmar Eisemann