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Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

统计方法学 · 统计学 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

Inference of latent feature models in the Bayesian nonparametric setting is generally difficult, especially in high dimensional settings, because it usually requires proposing features from some prior distribution. In special cases, where…

机器学习 · 统计学 2022-06-14 Michael Minyi Zhang , Sinead A. Williamson , Fernando Perez-Cruz

In Bayesian statistics, the choice of the prior can have an important influence on the posterior and the parameter estimation, especially when few data samples are available. To limit the added subjectivity from a priori information, one…

统计方法学 · 统计学 2025-12-05 Nils Baillie , Antoine Van Biesbroeck , Clément Gauchy

Inference on modern Bayesian Neural Networks (BNNs) often relies on a variational inference treatment, imposing violated assumptions of independence and the form of the posterior. Traditional MCMC approaches avoid these assumptions at the…

机器学习 · 统计学 2026-04-07 Ethan Goan , Dimitri Perrin , Kerrie Mengersen , Clinton Fookes

Although the Bayesian paradigm offers a formal framework for estimating the entire probability distribution over uncertain parameters, its online implementation can be challenging due to high computational costs. We suggest the Adaptive…

机器学习 · 计算机科学 2023-10-23 Pedram Agand , Mo Chen , Hamid D. Taghirad

In recent years the belief network has been used increasingly to model systems in Al that must perform uncertain inference. The development of efficient algorithms for probabilistic inference in belief networks has been a focus of much…

人工智能 · 计算机科学 2013-03-08 Peter Che , Richard E. Neapolitan , James Kenevan , Martha Evens

While MCMC methods have become a main work-horse for Bayesian inference, scaling them to large distributed datasets is still a challenge. Embarrassingly parallel MCMC strategies take a divide-and-conquer stance to achieve this by writing…

机器学习 · 计算机科学 2021-06-16 Diego Mesquita , Paul Blomstedt , Samuel Kaski

Most applications of Bayesian Inference for parameter estimation and model selection in astrophysics involve the use of Monte Carlo techniques such as Markov Chain Monte Carlo (MCMC) and nested sampling. However, these techniques are time…

天体物理仪器与方法 · 物理学 2022-01-26 Geetakrishnasai Gunapati , Anirudh Jain , P. K. Srijith , Shantanu Desai

Classical parameter-space Bayesian inference for Bayesian neural networks (BNNs) suffers from several unresolved prior issues, such as knowledge encoding intractability and pathological behaviours in deep networks, which can lead to…

机器学习 · 计算机科学 2024-10-11 Mengjing Wu , Junyu Xuan , Jie Lu

We study parameter inference in large-scale latent variable models. We first propose an unified treatment of online inference for latent variable models from a non-canonical exponential family, and draw explicit links between several…

机器学习 · 计算机科学 2018-02-01 Christophe Dupuy , Francis Bach

Markov Chain Monte Carlo (MCMC) and Belief Propagation (BP) are the most popular algorithms for computational inference in Graphical Models (GM). In principle, MCMC is an exact probabilistic method which, however, often suffers from…

机器学习 · 统计学 2020-05-12 Sungsoo Ahn , Michael Chertkov , Jinwoo Shin

Bayesian models provide a framework for probabilistic modelling of complex datasets. However, many of such models are computationally demanding especially in the presence of large datasets. On the other hand, in sensor network applications,…

机器学习 · 计算机科学 2015-07-06 Behnam Babagholami-Mohamadabadi , Sejong Yoon , Vladimir Pavlovic

Tasks such as record linkage and multi-target tracking, which involve reconstructing the set of objects that underlie some observed data, are particularly challenging for probabilistic inference. Recent work has achieved efficient and…

人工智能 · 计算机科学 2012-07-02 Brian Milch , Stuart Russell

In recent years, methods for Bayesian inference have been widely used in many different problems in physics where detection and characterization are necessary. Data analysis in gravitational-wave astronomy is a prime example of such a case.…

天体物理仪器与方法 · 物理学 2023-10-11 Nikolaos Karnesis , Michael L. Katz , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

机器学习 · 计算机科学 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

We propose a novel sampling framework for inference in probabilistic models: an active learning approach that converges more quickly (in wall-clock time) than Markov chain Monte Carlo (MCMC) benchmarks. The central challenge in…

机器学习 · 统计学 2014-11-04 Tom Gunter , Michael A. Osborne , Roman Garnett , Philipp Hennig , Stephen J. Roberts

In the manufacturing industry, it is very important to keep machines and processes running smoothly and without unexpected problems. One of the most common tools used to check if everything is working properly is called Statistical Process…

人工智能 · 计算机科学 2026-02-02 Mohammad Iqbal Rasul Seeam

Reliable Bayesian predictive inference has long been an open problem under unidentified transformation models, since the Markov Chain Monte Carlo (MCMC) chains of posterior predictive distribution (PPD) values are generally poorly mixed. We…

统计方法学 · 统计学 2025-08-28 Chong Zhong , Jin Yang , Junshan Shen , Zhaohai Li , Catherine C. Liu

Bayesian computation crucially relies on Markov chain Monte Carlo (MCMC) algorithms. In the case of massive data sets, running the Metropolis-Hastings sampler to draw from the posterior distribution becomes prohibitive due to the large…

统计计算 · 统计学 2015-12-07 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

机器学习 · 统计学 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev