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The goal of this paper is to compare several widely used Bayesian model selection methods in practical model selection problems, highlight their differences and give recommendations about the preferred approaches. We focus on the variable…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

Optimal data detection in massive multiple-input multiple-output (MIMO) systems often requires prohibitively high computational complexity. A variety of detection algorithms have been proposed in the literature, offering different…

计量经济学 · 经济学 2025-07-02 Yong Li , Sushanta K. Mallick , Tao Zeng , Junxing Zhang

Count data is prevalent in various fields like ecology, medical research, and genomics. In high-dimensional settings, where the number of features exceeds the sample size, feature selection becomes essential. While frequentist methods like…

统计方法学 · 统计学 2024-10-22 The Tien Mai

Dimension reduction algorithms aim to discover latent variables which describe underlying structures in high-dimensional data. Methods such as factor analysis and principal component analysis have the downside of not offering much…

应用统计 · 统计学 2021-12-23 Yong See Foo , Heejung Shim

Variable selection in Gaussian processes (GPs) is typically undertaken by thresholding the inverse lengthscales of automatic relevance determination kernels, but in high-dimensional datasets this approach can be unreliable. A more…

机器学习 · 统计学 2022-02-25 Hugh Dance , Brooks Paige

Many modern unsupervised or semi-supervised machine learning algorithms rely on Bayesian probabilistic models. These models are usually intractable and thus require approximate inference. Variational inference (VI) lets us approximate a…

机器学习 · 计算机科学 2018-10-24 Cheng Zhang , Judith Butepage , Hedvig Kjellstrom , Stephan Mandt

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

While Bayesian methods are extremely popular in statistics and machine learning, their application to massive datasets is often challenging, when possible at all. Indeed, the classical MCMC algorithms are prohibitively slow when both the…

统计理论 · 数学 2019-04-23 Pierre Alquier , James Ridgway

Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

统计方法学 · 统计学 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

Recent variational Bayes methods for geospatial regression, proposed as an alternative to computationally expensive Markov chain Monte Carlo (MCMC) sampling, have leveraged Nearest Neighbor Gaussian processes (NNGP) to achieve scalability.…

统计计算 · 统计学 2025-07-17 Jiafang Song , Abhirup Datta

Bayesian analyses combine information represented by different terms in a joint Bayesian model. When one or more of the terms is misspecified, it can be helpful to restrict the use of information from suspect model components to modify…

统计方法学 · 统计学 2022-06-27 Xuejun Yu , David J. Nott , Michael Stanley Smith

Mean field variational Bayes (MFVB) is a popular posterior approximation method due to its fast runtime on large-scale data sets. However, it is well known that a major failing of MFVB is that it underestimates the uncertainty of model…

机器学习 · 统计学 2015-02-27 Ryan Giordano , Tamara Broderick

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

Efficient variable selection in high-dimensional cancer genomic studies is critical for discovering genes associated with specific cancer types and for predicting response to treatment. Censored survival data is prevalent in such studies.…

应用统计 · 统计学 2020-08-04 Amir Nikooienejad , Wenyi Wang , Valen E. Johnson

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel

We introduce a semi-parametric Bayesian model for survival analysis. The model is centred on a parametric baseline hazard, and uses a Gaussian process to model variations away from it nonparametrically, as well as dependence on covariates.…

机器学习 · 统计学 2016-11-04 Tamara Fernández , Nicolás Rivera , Yee Whye Teh

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

应用统计 · 统计学 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

统计理论 · 数学 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik

Bayesian methods hold significant promise for improving the uncertainty quantification ability and robustness of deep neural network models. Recent research has seen the investigation of a number of approximate Bayesian inference methods…

机器学习 · 计算机科学 2022-02-09 Meet P. Vadera , Adam D. Cobb , Brian Jalaian , Benjamin M. Marlin

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel