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Large-scale biobanks are being collected around the world in efforts to better understand human health and risk factors for disease. They often survey hundreds of thousands of individuals, combining questionnaires with clinical, genetic,…

Quantitative Methods · Quantitative Biology 2019-03-19 Qifan Yang , Gennady V. Roshchupkin , Wiro J. Niessen , Sarah E. Medland , Alyssa H. Zhu , Paul M. Thompson , Neda Jahanshad

Variational Bayesian inference and (collapsed) Gibbs sampling are the two important classes of inference algorithms for Bayesian networks. Both have their advantages and disadvantages: collapsed Gibbs sampling is unbiased but is also…

Machine Learning · Computer Science 2012-06-18 Max Welling , Yee Whye Teh , Hilbert Kappen

To improve accuracy and speed of regressions and classifications, we present a data-based prediction method, Random Bits Regression (RBR). This method first generates a large number of random binary intermediate/derived features based on…

Machine Learning · Statistics 2016-11-04 Yi Wang , Yi Li , Momiao Xiong , Li Jin

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

Model selection is indispensable to high-dimensional sparse modeling in selecting the best set of covariates among a sequence of candidate models. Most existing work assumes implicitly that the model is correctly specified or of fixed…

Statistics Theory · Mathematics 2014-12-24 Pallavi Basu , Yang Feng , Jinchi Lv

A large number of papers have introduced novel machine learning and feature extraction methods for automatic classification of AD. However, they are difficult to reproduce because key components of the validation are often not readily…

Mixture models are commonly used in applications with heterogeneity and overdispersion in the population, as they allow the identification of subpopulations. In the Bayesian framework, this entails the specification of suitable prior…

Methodology · Statistics 2023-06-21 Andrea Cremaschi , Timothy M. Wertz , Maria De Iorio

Since the emergence of genome-wide association studies (GWASs), estimation of the narrow sense heritability explained by common single-nucleotide polymorphisms (SNPs) via linear mixed model approaches became widely used. As in most GWASs,…

Methodology · Statistics 2015-07-31 Najla Saad Elhezzani

Measuring di-Higgs production in the four-bottom channel is challenged by overwhelming QCD backgrounds and imperfect simulations. We develop a Bayesian mixture model that simultaneously infers signal and background fractions and their…

High Energy Physics - Phenomenology · Physics 2025-12-01 Ezequiel Alvarez , Leandro Da Rold , Manuel Szewc , Alejandro Szynkman , Santiago Tanco , Tatiana Tarutina

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

Methodology · Statistics 2024-08-08 Yann McLatchie , Aki Vehtari

The ability for a machine learning model to cope with differences in training and deployment conditions--e.g. in the presence of distribution shift or the generalization to new classes altogether--is crucial for real-world use cases.…

Machine Learning · Computer Science 2023-12-14 Jenny Hamer , Eleni Triantafillou , Bart van Merriënboer , Stefan Kahl , Holger Klinck , Tom Denton , Vincent Dumoulin

One of the major research questions regarding human microbiome studies is the feasibility of designing interventions that modulate the composition of the microbiome to promote health and cure disease. This requires extensive understanding…

Methodology · Statistics 2021-11-18 Matthew D. Koslovsky , Kristi L. Hoffman , Carrie R. Daniel , Marina Vannucci

Copula models have become one of the most widely used tools in the applied modelling of multivariate data. Similarly, Bayesian methods are increasingly used to obtain efficient likelihood-based inference. However, to date, there has been…

Methodology · Statistics 2015-10-13 Michael Stanley Smith

We provide a flexible framework for selecting among a class of additive partial linear models that allows both linear and nonlinear additive components. In practice, it is challenging to determine which additive components should be…

Methodology · Statistics 2021-09-20 Seonghyun Jeong , Taeyoung Park , David A. van Dyk

Bayesian Last Layer (BLL) models focus solely on uncertainty in the output layer of neural networks, demonstrating comparable performance to more complex Bayesian models. However, the use of Gaussian priors for last layer weights in…

Machine Learning · Computer Science 2024-08-08 Jian Xu , Zhiqi Lin , Shigui Li , Min Chen , Junmei Yang , Delu Zeng , John Paisley

We propose a general nonparametric Bayesian framework for binary regression, which is built from modeling for the joint response-covariate distribution. The observed binary responses are assumed to arise from underlying continuous random…

Methodology · Statistics 2016-09-06 Maria DeYoreo , Athanasios Kottas

Motivated by challenges in the analysis of biomedical data and observational studies, we develop statistical boosting for the general class of bivariate distributional copula regression with arbitrary marginal distributions, which is suited…

Methodology · Statistics 2024-03-05 Guillermo Briseño Sanchez , Nadja Klein , Hannah Klinkhammer , Andreas Mayr

Variable selection has played a critical role in modern statistical learning and scientific discoveries. Numerous regularization and Bayesian variable selection methods have been developed in the past two decades for variable selection, but…

Methodology · Statistics 2024-03-04 Travis Canida , Hongjie Ke , Shuo Chen , Zhenayo Ye , Tianzhou Ma

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

Rate variation among the sites of a molecular sequence is commonly found in applications of phylogenetic inference. Several approaches exist to account for this feature but they do not usually enable the investigator to pinpoint the sites…

Quantitative Methods · Quantitative Biology 2013-05-23 Elisa Loza-Reyes , Merrilee Hurn , Tony Robinson