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High-dimensional data are commonly seen in modern statistical applications, variable selection methods play indispensable roles in identifying the critical features for scientific discoveries. Traditional best subset selection methods are…

Methodology · Statistics 2022-12-29 Tianzhou Ma , Hongjie Ke , Zhao Ren

Bayesian variable selection is a powerful tool for data analysis, as it offers a principled method for variable selection that accounts for prior information and uncertainty. However, wider adoption of Bayesian variable selection has been…

Methodology · Statistics 2022-09-13 Martin Jankowiak

Data subset selection aims to find a smaller yet informative subset of a large dataset that can approximate the full-dataset training, addressing challenges associated with training neural networks on large-scale datasets. However, existing…

Machine Learning · Computer Science 2024-06-06 Hoyong Choi , Nohyun Ki , Hye Won Chung

A density estimation method in a Bayesian nonparametric framework is presented when recorded data are not coming directly from the distribution of interest, but from a length biased version. From a Bayesian perspective, efforts to…

Statistics Theory · Mathematics 2015-10-23 Spyridon J. Hatjispyros , Theodoros Nicoleris , Stephen G. Walker

Screening traditionally refers to the problem of detecting active inputs in the computer model. In this paper, we develop methodology that applies to screening, but the main focus is on detecting active inputs not in the computer model…

Computation · Statistics 2024-02-20 Pierre Barbillon , Anabel Forte , Rui Paulo

Photometric variability detection is often considered as a hypothesis testing problem: an object is variable if the null-hypothesis that its brightness is constant can be ruled out given the measurements and their uncertainties. Uncorrected…

Instrumentation and Methods for Astrophysics · Physics 2018-01-25 Ilya N. Pashchenko , Kirill V. Sokolovsky , Panagiotis Gavras

We consider an independence feature screening technique for identifying explanatory variables that locally contribute to the response variable in high-dimensional regression analysis. Without requiring a specific parametric form of the…

Statistics Theory · Mathematics 2016-03-31 Jinyuan Chang , Cheng Yong Tang , Yichao Wu

We develop a model-based empirical Bayes approach to variable selection problems in which the number of predictors is very large, possibly much larger than the number of responses (the so-called 'large p, small n' problem). We consider the…

Methodology · Statistics 2015-10-14 Haim Y. Bar , James G. Booth , Martin T. Wells

Scientists often use a paired comparison of the areas under the receiver operating characteristic curves to decide which continuous cancer screening test has the best diagnostic accuracy. In the paired design, all participants are screened…

Genetic risk prediction is an important component of individualized medicine, but prediction accuracies remain low for many complex diseases. A fundamental limitation is the sample sizes of the studies on which the prediction algorithms are…

Methodology · Statistics 2017-06-20 Sihai Dave Zhao

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

Methodology · Statistics 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

Statistics Theory · Mathematics 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

Screening and working set techniques are important approaches to reducing the size of an optimization problem. They have been widely used in accelerating first-order methods for solving large-scale sparse learning problems. In this paper,…

Machine Learning · Statistics 2023-04-24 Jian Huang , Yuling Jiao , Lican Kang , Jin Liu , Yanyan Liu , Xiliang Lu , Yuanyuan Yang

Variable selection, also known as feature selection in machine learning, plays an important role in modeling high dimensional data and is key to data-driven scientific discoveries. We consider here the problem of detecting influential…

Methodology · Statistics 2014-09-24 Bo Jiang , Jun S. Liu

The aim of this paper is to review methods of designing screening experiments, ranging from designs originally developed for physical experiments to those especially tailored to experiments on numerical models. The strengths and weaknesses…

Methodology · Statistics 2015-10-20 David C. Woods , Susan M. Lewis

We address the challenge of correlated predictors in high-dimensional GLMs, where regression coefficients range from sparse to dense, by proposing a data-driven random projection method. This is particularly relevant for applications where…

Methodology · Statistics 2025-12-30 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

An alternative to current mainstream preprocessing methods is proposed: Value Selection (VS). Unlike the existing methods such as feature selection that removes features and instance selection that eliminates instances, value selection…

Machine Learning · Computer Science 2020-07-10 Gunarto Sindoro Njoo , Baihua Zheng , Kuo-Wei Hsu , Wen-Chih Peng

We propose a new variable selection procedure for a functional linear model with multiple scalar responses and multiple functional predictors. This method is based on basis expansions of the involved functional predictors and coefficients…

Statistics Theory · Mathematics 2023-11-03 Alban Mina Mbina , Guy Martial Nkiet

Feature selection has been studied widely in the literature. However, the efficacy of the selection criteria for low sample size applications is neglected in most cases. Most of the existing feature selection criteria are based on the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 S L Happy , Ramanarayan Mohanty , Aurobinda Routray

Feature selection is a pattern recognition approach to choose important variables according to some criteria to distinguish or explain certain phenomena. There are many genomic and proteomic applications which rely on feature selection to…

Computer Vision and Pattern Recognition · Computer Science 2011-06-13 Fabricio Martins Lopes , David Correa Martins-Jr , Roberto M. Cesar-Jr