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The aim of this paper is to introduce a new Monte Carlo method based on importance sampling techniques for the simulation of stochastic differential equations. The main idea is to combine random walk on squares or rectangles methods with…

概率论 · 数学 2010-10-22 Madalina Deaconu , Antoine Lejay

Importance sampling, which involves sampling from a probability density function (PDF) proportional to the product of an importance weight function and a base PDF, is a powerful technique with applications in variance reduction, biased or…

机器学习 · 计算机科学 2025-02-10 Heasung Kim , Taekyun Lee , Hyeji Kim , Gustavo de Veciana

Importance sampling (IS) is a technique that enables statistical estimation of output performance at multiple input distributions from a single nominal input distribution. IS is commonly used in Monte Carlo simulation for variance reduction…

统计方法学 · 统计学 2025-05-07 Yijuan Liang , Guangxin Jiang , Michael C. Fu

Importance weighting is a fundamental procedure in statistics and machine learning that weights the objective function or probability distribution based on the importance of the instance in some sense. The simplicity and usefulness of the…

机器学习 · 计算机科学 2024-05-15 Masanari Kimura , Hideitsu Hino

In this paper, we consider the problem of numerical investigation of the counting statistics for a class of one-dimensional systems. Importance sampling, the cornerstone technique usually implemented for such problems, critically hinges on…

统计力学 · 物理学 2024-08-12 Ivan N. Burenev , Satya N. Majumdar , Alberto Rosso

Importance sampling is a Monte Carlo technique for efficiently estimating the likelihood of rare events by biasing the sampling distribution towards the rare event of interest. By drawing weighted samples from a learned proposal…

机器学习 · 统计学 2025-05-20 Liam A. Kruse , Marc R. Schlichting , Mykel J. Kochenderfer

A new method called "variational sampling" is proposed to estimate integrals under probability distributions that can be evaluated up to a normalizing constant. The key idea is to fit the target distribution with an exponential family model…

统计计算 · 统计学 2013-10-15 Alexis Roche

In this paper, I proof that Importance Sampling estimates based on dependent sample sets are consistent under certain conditions. This can be used to reduce variance in Bayesian Models with factorizing likelihoods, using sample sets that…

统计方法学 · 统计学 2015-03-03 Ingmar Schuster

Importance sampling has been successfully used to accelerate stochastic optimization in many convex problems. However, the lack of an efficient way to calculate the importance still hinders its application to Deep Learning. In this paper,…

机器学习 · 计算机科学 2017-09-14 Angelos Katharopoulos , François Fleuret

Simulated annealing - moving from a tractable distribution to a distribution of interest via a sequence of intermediate distributions - has traditionally been used as an inexact method of handling isolated modes in Markov chain samplers.…

计算物理 · 物理学 2007-05-23 Radford M. Neal

Given a loss function $F:\mathcal{X} \rightarrow \R^+$ that can be written as the sum of losses over a large set of inputs $a_1,\ldots, a_n$, it is often desirable to approximate $F$ by subsampling the input points. Strong theoretical…

最优化与控制 · 数学 2020-03-20 Anant Raj , Cameron Musco , Lester Mackey

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

统计计算 · 统计学 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

This paper investigates the use of retrospective approximation solution paradigm in solving risk-averse optimization problems effectively via importance sampling (IS). While IS serves as a prominent means for tackling the large sample…

风险管理 · 定量金融 2022-06-28 Anand Deo , Karthyek Murthy , Tirtho Sarker

This paper introduces a new Importance Sampling scheme, called Adaptive Twisted Importance Sampling, which is adequate for the improved estimation of rare event probabilities in he range of moderate deviations pertaining to the empirical…

统计计算 · 统计学 2009-10-13 Michel Broniatowski , Ya'Acov Ritov

This paper introduces a generalised version of importance subsampling for time series reduction/aggregation in optimisation-based power system planning models. Recent studies indicate that reliably determining optimal electricity…

应用统计 · 统计学 2020-08-26 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

A central challenge to applying many off-policy reinforcement learning algorithms to real world problems is the variance introduced by importance sampling. In off-policy learning, the agent learns about a different policy than the one being…

机器学习 · 计算机科学 2022-06-20 Eric Graves , Sina Ghiassian

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…

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

统计计算 · 统计学 2012-06-26 Ydo Wexler , Dan Geiger

Importance sampling has been reported to produce algorithms with excellent empirical performance in counting problems. However, the theoretical support for its efficiency in these applications has been very limited. In this paper, we…

概率论 · 数学 2009-08-10 Jose H. Blanchet

Importance sampling (IS) is a Monte Carlo technique for the approximation of intractable distributions and integrals with respect to them. The origin of IS dates from the early 1950s. In the last decades, the rise of the Bayesian paradigm…

统计计算 · 统计学 2024-06-21 Víctor Elvira , Luca Martino