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Real world datasets often contain entries with missing elements e.g. in a medical dataset, a patient is unlikely to have taken all possible diagnostic tests. Variational Autoencoders (VAEs) are popular generative models often used for…

Machine Learning · Computer Science 2021-03-23 Mark Collier , Alfredo Nazabal , Christopher K. I. Williams

Markov Chain Monte Carlo (MCMC) sampling is computationally expensive, especially for complex models. Alternative methods make simplifying assumptions about the posterior to reduce computational burden, but their impact on predictive…

Computation · Statistics 2025-10-27 Florian D. van Leeuwen , Sara van Erp

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

Machine Learning · Statistics 2018-01-08 Keisuke Yamazaki

We develop a variational Bayesian (VB) approach for estimating large-scale dynamic network models in the network autoregression framework. The VB approach allows for the automatic identification of the dynamic structure of such a model and…

Methodology · Statistics 2021-02-19 Wei-Ting Lai , Ray-Bing Chen , Ying Chen , Thorsten Koch

Machine learning for data-driven diagnosis has been actively studied in medicine to provide better healthcare. Supporting analysis of a patient cohort similar to a patient under treatment is a key task for clinicians to make decisions with…

Medical Physics · Physics 2020-03-25 Rongchen Guo , Takanori Fujiwara , Yiran Li , Kelly M. Lima , Soman Sen , Nam K. Tran , Kwan-Liu Ma

A fast Bayesian method that seamlessly fuses classification and hypothesis testing via discriminant analysis is developed. Building upon the original discriminant analysis classifier, modelling components are added to identify…

Methodology · Statistics 2019-08-28 Weichang Yu , John T. Ormerod , Michael Stewart

The field of meta-learning seeks to improve the ability of today's machine learning systems to adapt efficiently to small amounts of data. Typically this is accomplished by training a system with a parametrized update rule to improve a…

Machine Learning · Computer Science 2021-03-26 Lucas D. Lingle

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

Data Analysis, Statistics and Probability · Physics 2008-09-28 Alexei Vazquez

Being the most classical generative model for serial data, state-space models (SSM) are fundamental in AI and statistical machine learning. In SSM, any form of parameter learning or latent state inference typically involves the computation…

Machine Learning · Statistics 2024-07-04 Alessandro Mastrototaro , Jimmy Olsson

In clinical trials, ensuring the quality and validity of data for downstream analysis and results is paramount, thus necessitating thorough data monitoring. This typically involves employing edit checks and manual queries during data…

Other Statistics · Statistics 2026-01-15 Yuxi Zhao , Margaret Gamalo

Light and Widely Applicable (LWA-) MCMC is a novel approximation of the Metropolis-Hastings kernel targeting a posterior distribution defined on a large number of observations. Inspired by Approximate Bayesian Computation, we design a…

Methodology · Statistics 2015-11-25 Florian Maire , Nial Friel , Pierre Alquier

Markov Chain Monte Carlo (MCMC), Laplace approximation (LA) and variational inference (VI) methods are popular approaches to Bayesian inference, each with trade-offs between computational cost and accuracy. However, a theoretical…

Computation · Statistics 2025-12-16 Martin Chak , Giacomo Zanella

Dimension reduction techniques are among the most essential analytical tools in the analysis of high-dimensional data. Generalized principal component analysis (PCA) is an extension to standard PCA that has been widely used to identify…

Bayesian reasoning in linear mixed-effects models (LMMs) is challenging and often requires advanced sampling techniques like Markov chain Monte Carlo (MCMC). A common approach is to write the model in a probabilistic programming language…

Machine Learning · Computer Science 2025-03-25 Jinlin Lai , Justin Domke , Daniel Sheldon

Latent Class Models (LCMs) are used to cluster multivariate categorical data, commonly used to interpret survey responses. We propose a novel Bayesian model called the Equivalence Set Restricted Latent Class Model (ESRLCM). This model…

Machine Learning · Statistics 2024-06-07 Jesse Bowers , Steve Culpepper

Recent pandemics have highlighted the critical role of infectious disease models in guiding public health decision-making, driving demand for realistic models that can provide timely answers under uncertainty. Compartmental models are…

Methodology · Statistics 2026-03-18 Xiahui Li , Fergus J. Chadwick , Ben Swallow

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…

Methodology · Statistics 2014-11-04 Michael Braun , Paul Damien

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…

Machine Learning · Statistics 2015-12-24 Ryan Giordano , Tamara Broderick , Michael Jordan

Self-supervised learning methods for computer vision have demonstrated the effectiveness of pre-training feature representations, resulting in well-generalizing Deep Neural Networks, even if the annotated data are limited. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Dmitrii Shubin , Danny Eytan , Sebastian D. Goodfellow

High-dimensional feature selection arises in many areas of modern science. For example, in genomic research we want to find the genes that can be used to separate tissues of different classes (e.g. cancer and normal) from tens of thousands…

Computation · Statistics 2018-07-20 Longhai Li , Weixin Yao
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