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Elliptical slice sampling, when adapted to linearly truncated multivariate normal distributions, is a rejection-free Markov chain Monte Carlo method. At its core, it requires analytically constructing an ellipse-polytope intersection. The…

机器学习 · 计算机科学 2024-07-16 Kaiwen Wu , Jacob R. Gardner

Since its discovery over the last decade, Compressed Sensing (CS) has been successfully applied to Magnetic Reso- nance Imaging (MRI). It has been shown to be a powerful way to reduce scanning time without sacrificing image quality. MR…

应用统计 · 统计学 2013-07-29 Nicolas Chauffert , Philippe Ciuciu , Pierre Weiss , Fabrice Gamboa

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

机器学习 · 计算机科学 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

How to enable efficient analytics over such data has been an increasingly important research problem. Given the sheer size of such social networks, many existing studies resort to sampling techniques that draw random nodes from an online…

社会与信息网络 · 计算机科学 2015-05-12 Zhuojie Zhou , Nan Zhang , Gautam Das

Slice sampling is a well-established Markov chain Monte Carlo method for (approximate) sampling of target distributions which are only known up to a normalizing constant. The method is based on choosing a new state on a slice, i.e., a…

统计计算 · 统计学 2025-12-22 Kevin Bitterlich , Daniel Rudolf , Björn Sprungk

The sample-based Gibbs sampler has been the dominant method for approximating joint distribution from a collection of compatible full-conditional distributions. However for conditionally specified model, mixtures of incompatible full and…

统计计算 · 统计学 2023-07-04 Kun-Lin Kuo , Yuchung J. Wang

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

统计计算 · 统计学 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

The article is devoted to the resampling approach application to the reliability problems. This approach to reliability problems was first proposed by Ivnitsky (1967). Resampling is intensive statistical computer method, which is…

应用统计 · 统计学 2013-04-25 Maxim Fioshin , Helen Fioshina

This article studies the fundamental problem of using i.i.d. coin tosses from an entropy source to efficiently generate random variables $X_i \sim P_i$ $(i \ge 1)$, where $(P_1, P_2, \dots)$ is a random sequence of rational discrete…

数据结构与算法 · 计算机科学 2026-05-08 Thomas L. Draper , Feras A. Saad

Markov chain Monte Carlo methods have become popular in statistics as versatile techniques to sample from complicated probability distributions. In this work, we propose a method to parameterize and train transition kernels of Markov chains…

机器学习 · 计算机科学 2024-06-05 Evgenii Egorov , Ricardo Valperga , Efstratios Gavves

We describe a general strategy for sampling configurations from a given distribution, NOT based on the standard Metropolis (Markov chain) strategy. It uses the fact that nontrivial problems in statistical physics are high dimensional and…

统计力学 · 物理学 2009-11-07 P. Grassberger

In many situations, sample data is obtained from a noisy or imperfect source. In order to address such corruptions, this paper introduces the concept of a sampling corrector. Such algorithms use structure that the distribution is purported…

数据结构与算法 · 计算机科学 2018-04-03 Clément Canonne , Themis Gouleakis , Ronitt Rubinfeld

Recent years witnessed the development of powerful generative models based on flows, diffusion or autoregressive neural networks, achieving remarkable success in generating data from examples with applications in a broad range of areas. A…

无序系统与神经网络 · 物理学 2024-07-22 Davide Ghio , Yatin Dandi , Florent Krzakala , Lenka Zdeborová

In this Letter, we use a general renormalization-group algorithm to implement Propp and Wilson's "coupling from the past" approach to complex physical systems. Our algorithm follows the evolution of the entire configuration space under the…

统计力学 · 物理学 2008-02-17 Cedric Chanal , Werner Krauth

An algorithm for sampling exactly from the normal distribution is given. The algorithm reads some number of uniformly distributed random digits in a given base and generates an initial portion of the representation of a normal deviate in…

计算物理 · 物理学 2016-02-01 Charles F. F. Karney

In this paper we introduce a new sampling algorithm which has the potential to be adopted as a universal replacement to the Metropolis--Hastings algorithm. It is related to the slice sampler, and motivated by an algorithm which is…

统计计算 · 统计学 2020-10-19 Yanxin Li , Stephen G. Walker

Many applications in network analysis require algorithms to sample uniformly at random from the set of all graphs with a prescribed degree sequence. We present a Markov chain based approach which converges to the uniform distribution of all…

离散数学 · 计算机科学 2010-03-05 Annabell Berger , Matthias Müller-Hannemann

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

The problem of efficiently sampling from a set of(undirected) graphs with a given degree sequence has many applications. One approach to this problem uses a simple Markov chain, which we call the switch chain, to perform the sampling. The…

数据结构与算法 · 计算机科学 2014-12-18 Catherine Greenhill

Random walk sampling methods have been widely used in graph sampling in recent years, while it has bias towards higher degree nodes in the sample. To overcome this deficiency, classical methods such as MHRW design weighted walking by…

统计方法学 · 统计学 2022-09-27 Xiao Qi