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We propose a method for variable selection and basis learning for high-dimensional classification with ordinal responses. The proposed method extends sparse multiclass linear discriminant analysis, with the aim of identifying not only the…

Methodology · Statistics 2025-02-17 Minwoo Kim , Sangil Han , Jeongyoun Ahn , Sungkyu Jung

A key obstacle in automated analytics and meta-learning is the inability to recognize when different datasets contain measurements of the same variable. Because provided attribute labels are often uninformative in practice, this task may be…

Machine Learning · Computer Science 2019-09-12 Jonas Mueller , Alex Smola

We consider variable selection in high-dimensional linear models where the number of covariates greatly exceeds the sample size. We introduce the new concept of partial faithfulness and use it to infer associations between the covariates…

Methodology · Statistics 2012-01-12 Peter Bühlmann , Markus Kalisch , Marloes H. Maathuis

Forecasting and forecast evaluation are inherently sequential tasks. Predictions are often issued on a regular basis, such as every hour, day, or month, and their quality is monitored continuously. However, the classical statistical tools…

Methodology · Statistics 2022-07-04 Sebastian Arnold , Alexander Henzi , Johanna F. Ziegel

Big Data involves both a large number of events but also many variables. This paper will concentrate on the challenge presented by the large number of variables in a Big Dataset. It will start with a brief review of exploratory data…

Applications · Statistics 2019-07-24 S. J. Watts , L. Crow

The dual problem of testing the predictive significance of a particular covariate, and identification of the set of relevant covariates is common in applied research and methodological investigations. To study this problem in the context of…

Statistics Theory · Mathematics 2015-06-11 Julian A. A. Collazos , Adriano Z. Zambom

We propose a Bayesian variable selection method in the framework of modal regression for heavy-tailed responses. An efficient expectation-maximization algorithm is employed to expedite parameter estimation. A test statistic is constructed…

Methodology · Statistics 2025-10-29 Jiasong Duan , Hongmei Zhang , Xianzheng Huang

Automated variable selection is widely applied in statistical model development. Algorithms like forward, backward or stepwise selection are available in statistical software packages like R and SAS. Many researchers have criticized the use…

Methodology · Statistics 2023-06-19 Bernd Engelmann

Machine Learning explainability techniques have been proposed as a means of `explaining' or interrogating a model in order to understand why a particular decision or prediction has been made. Such an ability is especially important at a…

Machine Learning · Statistics 2022-02-28 Matthew J. Vowels

We consider the problem of learning the causal MAG of a system from observational data in the presence of latent variables and selection bias. Constraint-based methods are one of the main approaches for solving this problem, but the…

Machine Learning · Computer Science 2021-10-26 Sina Akbari , Ehsan Mokhtarian , AmirEmad Ghassami , Negar Kiyavash

Numerous variable selection methods rely on a two-stage procedure, where a sparsity-inducing penalty is used in the first stage to predict the support, which is then conveyed to the second stage for estimation or inference purposes. In this…

Applications · Statistics 2015-05-28 Jean-Michel Bécu , Yves Grandvalet , Christophe Ambroise , Cyril Dalmasso

We propose a method for testing whether hierarchically ordered groups of potentially correlated variables are significant for explaining a response in a high-dimensional linear model. In presence of highly correlated variables, as is very…

Statistics Theory · Mathematics 2014-09-04 Jacopo Mandozzi , Peter Bühlmann

Air and water pollution are major threats to public health, highlighting the need for reliable environmental monitoring. Low-cost multisensor systems are promising but suffer from limited selectivity, because their responses are influenced…

Applications · Statistics 2025-07-08 Marine Dumon , Berengere Lebental , Guillaume Perrin

Computer-based interactive items have become prevalent in recent educational assessments. In such items, the entire human-computer interactive process is recorded in a log file and is known as the response process. This paper aims at…

Applications · Statistics 2025-01-08 Xueying Tang , Zhi Wang , Qiwei He , Jingchen Liu , Zhiliang Ying

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

Methodology · Statistics 2021-12-30 Chuji Luo , Michael J. Daniels

Screening methods are useful tools for variable selection in regression analysis when the number of predictors is much larger than the sample size. Factor analysis is used to eliminate multicollinearity among predictors, which improves the…

Methodology · Statistics 2025-10-28 Shuntaro Tanaka , Hidetoshi Matsui

Designing recommendation systems with limited or no available training data remains a challenge. To that end, a new combinatorial optimization problem is formulated to generate optimized item selection for experimentation with the goal to…

Information Retrieval · Computer Science 2021-12-07 Bernard Kleynhans , Xin Wang , Serdar Kadıoğlu

In this paper, we focus on the problem of stable prediction across unknown test data, where the test distribution is agnostic and might be totally different from the training one. In such a case, previous machine learning methods might…

Machine Learning · Computer Science 2020-06-11 Kun Kuang , Bo Li , Peng Cui , Yue Liu , Jianrong Tao , Yueting Zhuang , Fei Wu

In the causal adjustment setting, variable selection techniques based on either the outcome or treatment allocation model can result in the omission of confounders or the inclusion of spurious variables in the propensity score. We propose a…

Statistics Theory · Mathematics 2014-06-06 Ashkan Ertefaie , Masoud Asgharian , David A. Stephens

Adaptive experiments use preliminary analyses of the data to inform further course of action and are commonly used in many disciplines including medical and social sciences. Because the null hypothesis and experimental design are…

Methodology · Statistics 2026-05-26 Tobias Freidling , Qingyuan Zhao , Zijun Gao