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We consider Bayesian inference in sequential latent variable models in general, and in nonlinear state space models in particular (i.e., state smoothing). We work with sequential Monte Carlo (SMC) algorithms, which provide a powerful…

统计计算 · 统计学 2015-05-26 Fredrik Lindsten , Pete Bunch , Sumeetpal S. Singh , Thomas B. Schön

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

Markov chain Monte Carlo (MCMC) algorithms provide a very general recipe for estimating properties of complicated distributions. While their use has become commonplace and there is a large literature on MCMC theory and practice, MCMC users…

统计计算 · 统计学 2012-05-03 Murali Haran , Luke Tierney

We propose a general framework using spike-and-slab prior distributions to aid with the development of high-dimensional Bayesian inference. Our framework allows inference with a general quasi-likelihood function. We show that highly…

统计理论 · 数学 2019-08-21 Yves Atchade , Anwesha Bhattacharyya

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

Sequential Monte Carlo (SMC) is a class of algorithms that approximate high-dimensional expectations of a Markov chain. SMC algorithms typically include a resampling step. There are many possible ways to resample, but the relative…

数值分析 · 数学 2019-04-01 Robert J. Webber

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

统计方法学 · 统计学 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

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

Advances in digital sensors, digital data storage and communications have resulted in systems being capable of accumulating large collections of data. In the light of dealing with the challenges that massive data present, this work proposes…

统计计算 · 统计学 2015-12-09 Allan De Freitas , François Septier , Lyudmila Mihaylova

Markov chain Monte Carlo algorithms are invaluable tools for exploring stationary properties of physical systems, especially in situations where direct sampling is unfeasible. Common implementations of Monte Carlo algorithms employ…

统计力学 · 物理学 2016-04-27 Marija Vucelja

Bayesian hierarchical modeling is a popular approach to capturing unobserved heterogeneity across individual units. However, standard estimation methods such as Markov chain Monte Carlo (MCMC) can be impracticable for modeling outcomes from…

统计方法学 · 统计学 2014-11-04 Michael Braun , Paul Damien

Bayesian inference using Markov Chain Monte Carlo (MCMC) on large datasets has developed rapidly in recent years. However, the underlying methods are generally limited to relatively simple settings where the data have specific forms of…

统计方法学 · 统计学 2020-02-18 Robert Salomone , Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

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

Bayesian mixture models are widely applied for unsupervised learning and exploratory data analysis. Markov chain Monte Carlo based on Gibbs sampling and split-merge moves are widely used for inference in these models. However, both methods…

机器学习 · 统计学 2014-06-03 Tue Herlau , Morten Mørup , Yee Whye Teh , Mikkel N. Schmidt

We focus on generative autoencoders, such as variational or adversarial autoencoders, which jointly learn a generative model alongside an inference model. Generative autoencoders are those which are trained to softly enforce a prior on the…

机器学习 · 计算机科学 2017-01-13 Antonia Creswell , Kai Arulkumaran , Anil Anthony Bharath

The Hamiltonian Monte Carlo (HMC) sampling algorithm exploits Hamiltonian dynamics to construct efficient Markov Chain Monte Carlo (MCMC), which has become increasingly popular in machine learning and statistics. Since HMC uses the gradient…

机器学习 · 计算机科学 2019-06-04 Minghao Gu , Shiliang Sun

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

机器学习 · 统计学 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

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

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

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian