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Meta-analyses are regarded as the highest level in the hierarchy of evidence, yet standard models traditionally concentrated on estimating the mean effect size, often under restrictive assumptions about the underlying distribution, such as…

Other Statistics · Statistics 2026-04-02 Yefeng Yang , Shinichi Nakagawa

The Bayesian approach to inverse problems typically relies on posterior sampling approaches, such as Markov chain Monte Carlo, for which the generation of each sample requires one or more evaluations of the parameter-to-observable map or…

Computation · Statistics 2014-12-23 Jinglai Li , Youssef M. Marzouk

Unsupervised learning can leverage large-scale data sources without the need for annotations. In this context, deep learning-based auto encoders have shown great potential in detecting anomalies in medical images. However, state-of-the-art…

Machine Learning · Computer Science 2018-12-17 David Zimmerer , Simon A. A. Kohl , Jens Petersen , Fabian Isensee , Klaus H. Maier-Hein

Frequently, population studies feature pyramidally-organized data represented using Hierarchical Bayesian Models (HBM) enriched with plates. These models can become prohibitively large in settings such as neuroimaging, where a sample is…

Machine Learning · Computer Science 2022-03-09 Louis Rouillard , Demian Wassermann

We propose data thinning, an approach for splitting an observation into two or more independent parts that sum to the original observation, and that follow the same distribution as the original observation, up to a (known) scaling of a…

Methodology · Statistics 2023-11-22 Anna Neufeld , Ameer Dharamshi , Lucy L. Gao , Daniela Witten

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

Methodology · Statistics 2025-12-03 Ruoqi Yu , Peng Ding

Even though, many researchers tried to explore the various possibilities on multi objective feature selection, still it is yet to be explored with best of its capabilities in data mining applications rather than going for developing new…

Neural and Evolutionary Computing · Computer Science 2016-10-26 Mrutyunjaya Panda

In big data analysis, a simple task such as linear regression can become very challenging as the variable dimension $p$ grows. As a result, variable screening is inevitable in many scientific studies. In recent years, randomized algorithms…

Methodology · Statistics 2019-02-13 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Yun Huang

Most methods in explainable AI (XAI) focus on providing reasons for the prediction of a given set of features. However, we solve an inverse explanation problem, i.e., given the deviation of a label, find the reasons of this deviation. We…

Machine Learning · Computer Science 2024-11-06 Quan Long

We introduce principal differences analysis (PDA) for analyzing differences between high-dimensional distributions. The method operates by finding the projection that maximizes the Wasserstein divergence between the resulting univariate…

Machine Learning · Statistics 2017-05-03 Jonas Mueller , Tommi Jaakkola

Statisticians increasingly face the problem to reconsider the adaptability of classical inference techniques. In particular, divers types of high-dimensional data structures are observed in various research areas; disclosing the boundaries…

Statistics Theory · Mathematics 2017-06-09 Paavo Sattler , Markus Pauly

Using a sample from a population to estimate the proportion of the population with a certain category label is a broadly important problem. In the context of microbiome studies, this problem arises when researchers wish to use a sample from…

Methodology · Statistics 2019-02-08 Bryan D. Martin , Daniela Witten , Amy D. Willis

Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

Optimization and Control · Mathematics 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

In immunological studies, the characterization of small, functionally distinct cell subsets from blood and tissue is crucial to decipher system level biological changes. An increasing number of studies rely on assays that provide…

Beta-binomial/Poisson models have been used by many authors to model multivariate count data. Lora and Singer (Statistics in Medicine, 2008) extended such models to accommodate repeated multivariate count data with overdipersion in the…

Methodology · Statistics 2010-03-08 Mayra Ivanoff Lora , Julio M Singer

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

Optimization and Control · Mathematics 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

A framework is presented for fitting inverse problem models via variational Bayes approximations. This methodology guarantees flexibility to statistical model specification for a broad range of applications, good accuracy and reduced model…

Methodology · Statistics 2024-09-05 Luca Maestrini , Robert G. Aykroyd , Matt P. Wand

Models for complex systems are often built with more parameters than can be uniquely identified by available data. Because of the variety of causes, identifying a lack of parameter identifiability typically requires mathematical…

Methodology · Statistics 2013-10-03 David Campbell , Subhash Lele

A significant obstacle in the development of robust machine learning models is covariate shift, a form of distribution shift that occurs when the input distributions of the training and test sets differ while the conditional label…

Machine Learning · Statistics 2021-11-17 Nilesh Tripuraneni , Ben Adlam , Jeffrey Pennington