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Markov Chain Monte Carlo (MCMC) techniques are now widely used for cosmological parameter estimation. Chains are generated to sample the posterior probability distribution obtained following the Bayesian approach. An important issue is how…

天体物理学 · 物理学 2009-11-10 Joanna Dunkley , Martin Bucher , Pedro G. Ferreira , Kavilan Moodley , Constantinos Skordis

In many hierarchical inverse problems, not only do we want to estimate high- or infinite-dimensional model parameters in the parameter-to-observable maps, but we also have to estimate hyperparameters that represent critical assumptions in…

统计计算 · 统计学 2020-02-18 Johnathan Bardsley , Tiangang Cui

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Existing work on Bayesian decision trees uses MCMC.…

统计计算 · 统计学 2023-01-24 Efthyvoulos Drousiotis , Paul G. Spirakis , Simon Maskell

Using Markov chain Monte Carlo to sample from posterior distributions was the key innovation which made Bayesian data analysis practical. Notoriously, however, MCMC is hard to tune, hard to diagnose, and hard to parallelize. This…

统计计算 · 统计学 2022-03-18 Cosma Rohilla Shalizi

Recent advances in stochastic gradient techniques have made it possible to estimate posterior distributions from large datasets via Markov Chain Monte Carlo (MCMC). However, when the target posterior is multimodal, mixing performance is…

机器学习 · 统计学 2018-01-12 Yizhe Zhang , Changyou Chen , Zhe Gan , Ricardo Henao , Lawrence Carin

Markov chain Monte Carlo (MCMC) has transformed Bayesian model inference over the past three decades: mainly because of this, Bayesian inference is now a workhorse of applied scientists. Under general conditions, MCMC sampling converges…

统计方法学 · 统计学 2020-11-20 Ben Lambert , Aki Vehtari

Delayed-acceptance Markov chain Monte Carlo (DA-MCMC) samples from a probability distribution via a two-stages version of the Metropolis-Hastings algorithm, by combining the target distribution with a "surrogate" (i.e. an approximate and…

Markov Chain Monte Carlo (MCMC) algorithms are commonly used for their versatility in sampling from complicated probability distributions. However, as the dimension of the distribution gets larger, the computational costs for a satisfactory…

宇宙学与河外天体物理 · 物理学 2020-12-01 Hector J. Hortua , Riccardo Volpi , Dimitri Marinelli , Luigi Malago

A system to update estimates from a sequence of probability distributions is presented. The aim of the system is to quickly produce estimates with a user-specified bound on the Monte Carlo error. The estimates are based upon weighted…

统计方法学 · 统计学 2014-06-04 F. Din-Houn Lau , Axel Gandy

Markov chain Monte Carlo (MCMC) methods are sampling methods that have become a commonly used tool in statistics, for example to perform Monte Carlo integration. As a consequence of the increase in computational power, many variations of…

统计计算 · 统计学 2021-06-14 F. Din-Houn Lau , Sebastian Krumscheid

In this paper we consider fully Bayesian inference in general state space models. Existing particle Markov chain Monte Carlo (MCMC) algorithms use an augmented model that takes into account all the variable sampled in a sequential Monte…

统计方法学 · 统计学 2014-07-31 Christopher K. Carter , Eduardo F. Mendes , Robert Kohn

We propose a novel Markov chain Monte-Carlo (MCMC) method for reverse engineering the topological structure of stochastic reaction networks, a notoriously challenging problem that is relevant in many modern areas of research, like…

统计方法学 · 统计学 2018-10-08 Daniel F. Linder , Grzegorz A. Rempala

Markov chain Monte Calro methods (MCMC) are commonly used in Bayesian statistics. In the last twenty years, many results have been established for the calculation of the exact convergence rate of MCMC methods. We introduce another rate of…

统计理论 · 数学 2014-02-17 Kengo Kamatani

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

统计方法学 · 统计学 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

The Linear Ballistic Accumulator (Brown & Heathcote, 2008) model is used as a measurement tool to answer questions about applied psychology. The analyses based on this model depend upon the model selected and its estimated parameters.…

统计方法学 · 统计学 2020-03-03 David Gunawan , Guy E. Hawkins , Minh-Ngoc Tran , Robert Kohn , Scott Brown

Markov chain Monte Carlo (MCMC) is the predominant tool used in Bayesian parameter estimation for hierarchical models. When the model expands due to an increasing number of hierarchical levels, number of groups at a particular level, or…

统计计算 · 统计学 2016-06-22 Will Landau , Jarad Niemi

Meta-analysis methods are used to combine evidence from multiple studies. Meta-regression as well as model-based meta-analysis are extensions of standard pairwise meta-analysis in which information about study-level covariates and…

统计方法学 · 统计学 2022-02-02 Burak Kürsad Günhan , Christian Röver , Tim Friede

Bayesian analysis is widely used in science and engineering for real-time forecasting, decision making, and to help unravel the processes that explain the observed data. These data are some deterministic and/or stochastic transformations of…

最优化与控制 · 数学 2020-02-24 Jiangjiang Zhang , Jasper A. Vrugt , Xiaoqing Shi , Guang Lin , Lingzao Zeng , Laosheng Wu

Predicting relative risk (RR) of spatial clusters is a complex task in public health that can be achieved through various statistical and machine-learning methods for different time intervals. However, high-resolution longitudinal data is…

统计方法学 · 统计学 2025-12-23 Lyza Iamrache , Kamel Rekab , Majid Bani-Yagoub , Julia Pluta , Abdelghani Mehailia

We apply Markov Chain Monte Carlo (MCMC) to the problem of parametric galaxy modeling, estimating posterior distributions of galaxy properties such as ellipticity and brightness for more than 100,000 images of galaxies taken from DC2, a…

天体物理仪器与方法 · 物理学 2023-09-20 James J. Buchanan , Michael D. Schneider , Kerianne Pruett , Robert E. Armstrong
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