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Exact approximations of Markov chain Monte Carlo (MCMC) algorithms are a general emerging class of sampling algorithms. One of the main ideas behind exact approximations consists of replacing intractable quantities required to run standard…

统计计算 · 统计学 2015-10-30 Christophe Andrieu , Matti Vihola

Markov Chain Monte Carlo (MCMC) methods are a popular technique in Bayesian statistical modeling. They have long been used to obtain samples from posterior distributions, but recent research has focused on the scalability of these…

统计方法学 · 统计学 2016-02-02 Nicholas A. Johnson , Frank O. Kuehnel , Ali Nasiri Amini

Markov Chain Monte Carlo (MCMC) is a popular class of statistical methods for simulating autocorrelated draws from target distributions, including posterior distributions in Bayesian analysis. An important consideration in using simulated…

统计方法学 · 统计学 2017-06-16 Benjamin E. Deonovic , Brian J. Smith

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Nelson Christensen , Renate Meyer

Markov Chain Monte Carlo (MCMC) methods have become a cornerstone of many modern scientific analyses by providing a straightforward approach to numerically estimate uncertainties in the parameters of a model using a sequence of random…

其他统计学 · 统计学 2020-03-10 Joshua S. Speagle

We consider importance sampling (IS) type weighted estimators based on Markov chain Monte Carlo (MCMC) targeting an approximate marginal of the target distribution. In the context of Bayesian latent variable models, the MCMC typically…

统计计算 · 统计学 2021-03-22 Matti Vihola , Jouni Helske , Jordan Franks

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

统计计算 · 统计学 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

We present an efficient algorithm for the inference of stochastic block models in large networks. The algorithm can be used as an optimized Markov chain Monte Carlo (MCMC) method, with a fast mixing time and a much reduced susceptibility to…

数据分析、统计与概率 · 物理学 2014-01-14 Tiago P. Peixoto

Identifying anomalies refers to detecting samples that do not resemble the training data distribution. Many generative models have been used to find anomalies, and among them, generative adversarial network (GAN)-based approaches are…

机器学习 · 计算机科学 2022-01-03 Laya Rafiee Sevyeri , Thomas Fevens

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Recent developments in big data and analytics research have produced an abundance of large data sets that are too big to be analyzed in their entirety, due to limits on computer memory or storage capacity. To address these issues,…

统计方法学 · 统计学 2016-01-06 Alexey Miroshnikov , Erin M. Conlon

In this paper, a new semi-supervised deep multiple-input multiple-output (MIMO) detection approach using a cycle-consistent generative adversarial network (CycleGAN) is proposed for communication systems without any prior knowledge of…

信号处理 · 电气工程与系统科学 2023-04-24 Hongzhi Zhu , Yongliang Guo , Wei Xu , Xiaohu You

In this article we consider Bayesian parameter inference associated to partially-observed stochastic processes that start from a set B0 and are stopped or killed at the first hitting time of a known set A. Such processes occur naturally…

统计计算 · 统计学 2012-01-19 Ajay Jasra , Nikolas Kantas

Rich data generating mechanisms are ubiquitous in this age of information and require complex statistical models to draw meaningful inference. While Bayesian analysis has seen enormous development in the last 30 years, benefitting from the…

统计计算 · 统计学 2022-10-20 Radu V. Craiu , Evgeny Levi

Accurate modelling of spectra produced by X-ray sources requires the use of Monte-Carlo simulations. These simulations need to evaluate physical processes, such as those occurring in accretion processes around compact objects by sampling a…

高能天体物理现象 · 物理学 2024-02-21 Ahab Isaac , Wesley Armour , Karel Adámek

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

统计计算 · 统计学 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

We propose a stochastic gradient Markov chain Monte Carlo (SG-MCMC) algorithm for scalable inference in mixed-membership stochastic blockmodels (MMSB). Our algorithm is based on the stochastic gradient Riemannian Langevin sampler and…

机器学习 · 计算机科学 2015-10-23 Wenzhe Li , Sungjin Ahn , Max Welling

Markov Chain Monte Carlo (MCMC) algorithms are routinely used to draw samples from distributions with intractable normalization constants. However, standard MCMC algorithms do not apply to doubly-intractable distributions in which there are…

统计计算 · 统计学 2012-07-02 Iain Murray , Zoubin Ghahramani , David MacKay

Sampling from a lattice Gaussian distribution is emerging as an important problem in various areas such as coding and cryptography. The default sampling algorithm --- Klein's algorithm yields a distribution close to the lattice Gaussian…

信息论 · 计算机科学 2016-11-18 Zheng Wang , Cong Ling , Guillaume Hanrot

Generative adversarial networks (GANs) are increasingly attracting attention in the computer vision, natural language processing, speech synthesis and similar domains. However, evaluating the performance of GANs is still an open and…

计算机视觉与模式识别 · 计算机科学 2020-04-07 Zhengwei Wang , Qi She , Alan F. Smeaton , Tomas E. Ward , Graham Healy