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相关论文: Estimating the Probabilities of Rare Outputs in La…

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Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

机器学习 · 计算机科学 2025-04-22 Ruoning Zhao , Xinyun Chen

Importance sampling is a well developed method in statistics. Given a random variable $X$, the problem of estimating its expected value $\mu$ is addressed. The standard approach is to use the sample mean as an estimator $\bar x$. In…

应用统计 · 统计学 2014-05-09 Georg Hofmann

Reinforcement learning (RL) has become a predominant technique to align language models (LMs) with human preferences or promote outputs which are deemed to be desirable by a given reward function. Standard RL approaches optimize average…

机器学习 · 计算机科学 2025-10-27 Stephen Zhao , Aidan Li , Rob Brekelmans , Roger Grosse

In Bayesian optimization, accounting for the importance of the output relative to the input is a crucial yet challenging exercise, as it can considerably improve the final result but often involves inaccurate and cumbersome entropy…

机器学习 · 计算机科学 2020-12-30 Antoine Blanchard , Themistoklis Sapsis

We consider the problem of choosing design parameters to minimize the probability of an undesired rare event that is described through the average of $n$ iid random variables. Since the probability of interest for near optimal design…

最优化与控制 · 数学 2019-02-22 Amarjit Budhiraja , Shu Lu , Yang Yu , Quoc Tran-Dinh

In this paper, we propose an efficient importance sampling algorithm for rare event simulation under copula models. In the algorithm, the derived optimal probability measure is based on the criterion of minimizing the variance of the…

统计计算 · 统计学 2025-04-07 Siang Cheng , Cheng-Der Fuh , Tianxiao Pang

Importance sampling is often used in machine learning when training and testing data come from different distributions. In this paper we propose a new variant of importance sampling that can reduce the variance of importance sampling-based…

机器学习 · 计算机科学 2016-11-11 Philip S. Thomas , Emma Brunskill

A fundamental characteristic of natural language is the high rate at which speakers produce novel expressions. Because of this novelty, a heavy-tail of rare events accounts for a significant amount of the total probability mass of…

计算与语言 · 计算机科学 2022-03-25 Benjamin LeBrun , Alessandro Sordoni , Timothy J. O'Donnell

This paper proposes niching importance sampling, a framework that combines concepts from reliability analysis, e.g. Markov chains, importance sampling, and relative cross entropy minimisation, with niching techniques from evolutionary…

统计计算 · 统计学 2026-04-09 Hugh J. Kinnear , F. A. DiazDelaO

This paper considers importance sampling for estimation of rare-event probabilities in a specific collection of Markovian jump processes used for e.g. modelling of credit risk. Previous attempts at designing importance sampling algorithms…

概率论 · 数学 2021-12-02 Boualem Djehiche , Henrik Hult , Pierre Nyquist

In this paper, we consider an importance sampling problem for a certain rare-event simulations involving the behavior of a diffusion process pertaining to a chain of distributed systems with random perturbations. We also assume that the…

最优化与控制 · 数学 2020-08-26 Getachew K. Befekadu

An important step in the design of autonomous systems is to evaluate the probability that a failure will occur. In safety-critical domains, the failure probability is extremely small so that the evaluation of a policy through Monte Carlo…

机器学习 · 计算机科学 2022-11-23 Anthony Corso , Kyu-Young Kim , Shubh Gupta , Grace Gao , Mykel J. Kochenderfer

Adaptive importance sampling is a class of techniques for finding good proposal distributions for importance sampling. Often the proposal distributions are standard probability distributions whose parameters are adapted based on the…

统计计算 · 统计学 2021-03-10 Topi Paananen , Juho Piironen , Paul-Christian Bürkner , Aki Vehtari

Importance sampling is a popular variance reduction method for Monte Carlo estimation, where a notorious question is how to design good proposal distributions. While in most cases optimal (zero-variance) estimators are theoretically…

统计理论 · 数学 2021-02-22 Carsten Hartmann , Lorenz Richter

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

机器学习 · 计算机科学 2024-12-18 Hongyu Shen , Zhizhen Zhao

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

机器人学 · 计算机科学 2025-05-14 Liam A. Kruse , Alexandros E. Tzikas , Harrison Delecki , Mansur M. Arief , Mykel J. Kochenderfer

A learned generative model often produces biased statistics relative to the underlying data distribution. A standard technique to correct this bias is importance sampling, where samples from the model are weighted by the likelihood ratio…

Importance sampling is widely used in machine learning and statistics, but its power is limited by the restriction of using simple proposals for which the importance weights can be tractably calculated. We address this problem by studying…

机器学习 · 统计学 2016-10-18 Qiang Liu , Jason D. Lee

In this work we investigate to which extent one can recover class probabilities within the empirical risk minimization (ERM) paradigm. The main aim of our paper is to extend existing results and emphasize the tight relations between…

机器学习 · 计算机科学 2020-07-22 Alexander Mey , Marco Loog

In many domains, the exploration process of reinforcement learning will be too costly as it requires trying out suboptimal policies, resulting in a need for off-policy evaluation, in which a target policy is evaluated based on data…

机器学习 · 计算机科学 2024-05-07 David M. Bossens , Philip S. Thomas
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