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This paper proposes an online, provably robust, and scalable Bayesian approach for changepoint detection. The resulting algorithm has key advantages over previous work: it provides provable robustness by leveraging the generalised Bayesian…

机器学习 · 统计学 2023-05-15 Matias Altamirano , François-Xavier Briol , Jeremias Knoblauch

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

机器学习 · 统计学 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

The United States Bureau of Labor Statistics collects data using survey instruments under informative sampling designs that assign probabilities of inclusion to be correlated with the response. The bureau extensively uses Bayesian…

统计方法学 · 统计学 2017-10-26 Terrance D. Savitsky , Sanvesh Srivastava

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

机器学习 · 统计学 2021-09-10 Sudipto Banerjee

We develop stochastic variational inference, a scalable algorithm for approximating posterior distributions. We develop this technique for a large class of probabilistic models and we demonstrate it with two probabilistic topic models,…

机器学习 · 统计学 2013-04-24 Matt Hoffman , David M. Blei , Chong Wang , John Paisley

We propose a fast and theoretically grounded method for Bayesian variable selection and model averaging in latent variable regression models. Our framework addresses three interrelated challenges: (i) intractable marginal likelihoods, (ii)…

统计方法学 · 统计学 2025-09-16 Gregor Zens , Mark F. J. Steel

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

机器学习 · 统计学 2023-05-02 Aliaksandr Hubin , Geir Storvik

To determine the universality class of critical phenomena, we propose a method of statistical inference in the scaling analysis of critical phenomena. The method is based on Bayesian statistics, most specifically, the Gaussian process…

统计力学 · 物理学 2011-11-21 Kenji Harada

Success in modeling complex phenomena such as human perception hinges critically on the availability of data and computational power. Significant progress has been made in modeling such phenomena using probabilistic methods, particularly in…

数据分析、统计与概率 · 物理学 2019-02-20 Danh-Tai Hoang , Juyong Song , Vipul Periwal , Junghyo Jo

An important aspect of Bayesian model selection is how to deal with huge model spaces, since exhaustive enumeration of all the models entertained is unfeasible and inferences have to be based on the very small proportion of models visited.…

统计方法学 · 统计学 2011-01-25 Gonzalo Garcia-Donato , Miguel Angel Martinez-Beneito

With continued advances in Geographic Information Systems and related computational technologies, statisticians are often required to analyze very large spatial datasets. This has generated substantial interest over the last decade, already…

统计方法学 · 统计学 2019-05-14 Lu Zhang , Abhirup Datta , Sudipto Banerjee

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

机器学习 · 计算机科学 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, which by directly reasoning on prediction, bypasses inferential…

统计理论 · 数学 2024-11-22 Sandra Fortini , Sonia Petrone

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

统计计算 · 统计学 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

机器学习 · 统计学 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We develop a Bayesian variable selection method, called SVEN, based on a hierarchical Gaussian linear model with priors placed on the regression coefficients as well as on the model space. Sparsity is achieved by using degenerate spike…

统计方法学 · 统计学 2020-08-04 Dongjin Li , Somak Dutta , Vivekananda Roy

Variable selection for structured covariates lying on an underlying known graph is a problem motivated by practical applications, and has been a topic of increasing interest. However, most of the existing methods may not be scalable to high…

统计方法学 · 统计学 2016-04-27 Changgee Chang , Suprateek Kundu , Qi Long

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

机器学习 · 统计学 2019-05-28 Aliaksandr Hubin , Geir Storvik

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

数值分析 · 数学 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski