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In many applications, it is of interest to identify a parsimonious set of features, or panel, from multiple candidates that achieves a desired level of performance in predicting a response. This task is often complicated in practice by…

Methodology · Statistics 2025-10-23 B. D. Williamson , Y. Huang

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

Statistics Theory · Mathematics 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Combining the mutual information criterion with a forward feature selection strategy offers a good trade-off between optimality of the selected feature subset and computation time. However, it requires to set the parameter(s) of the mutual…

Machine Learning · Computer Science 2007-09-26 Damien François , Fabrice Rossi , Vincent Wertz , Michel Verleysen

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

Methodology · Statistics 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

We study a marginal empirical likelihood approach in scenarios when the number of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the parameters of interest are systematically…

Statistics Theory · Mathematics 2013-11-07 Jinyuan Chang , Cheng Yong Tang , Yichao Wu

In many contexts, there is interest in selecting the most important variables from a very large collection, commonly referred to as support recovery or variable, feature or subset selection. There is an enormous literature proposing a rich…

Computation · Statistics 2015-06-23 Willem van den Boom , Galen Reeves , David B. Dunson

Variable selection plays an important role in high dimensional statistical modeling which nowadays appears in many areas and is key to various scientific discoveries. For problems of large scale or dimensionality $p$, estimation accuracy…

Statistics Theory · Mathematics 2008-08-27 Jianqing Fan , Jinchi Lv

This article considers a linear model in a high dimensional data scenario. We propose a process which uses multiple loss functions both to select relevant predictors and to estimate parameters, and study its asymptotic properties. Variable…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

This paper explores the following question: what kind of statistical guarantees can be given when doing variable selection in high-dimensional models? In particular, we look at the error rates and power of some multi-stage regression…

Statistics Theory · Mathematics 2009-08-20 Larry Wasserman , Kathryn Roeder

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

Large-scale assessment data typically include numerous categorical variables, often affected by missing values. Motivated by the challenges arising in this framework, we extend the knockoffs method for selecting predictors to settings with…

Methodology · Statistics 2026-05-13 Silvia Bacci , Emanuela Dreassi , Leonardo Grilli , Carla Rampichini

A data analysis pipeline is a structured sequence of steps that transforms raw data into meaningful insights by integrating various analysis algorithms. In this paper, we propose a novel statistical test to assess the significance of data…

Machine Learning · Statistics 2024-10-15 Tomohiro Shiraishi , Tatsuya Matsukawa , Shuichi Nishino , Ichiro Takeuchi

Feature screening is an important method to reduce the dimension and capture informative variables in ultrahigh-dimensional data analysis. Many methods have been developed for feature screening. These methods, however, are challenged by…

Methodology · Statistics 2019-01-08 Li-Pang Chen

Compared to supervised variable selection, the research on unsupervised variable selection is far behind. A forward partial-variable clustering full-variable loss (FPCFL) method is proposed for the corresponding challenges. An advantage is…

Methodology · Statistics 2024-12-02 Tonglin Zhang , Huyunting Huang

Variable selection in the linear regression model takes many apparent faces from both frequentist and Bayesian standpoints. In this paper we introduce a variable selection method referred to as a rescaled spike and slab model. We study the…

Statistics Theory · Mathematics 2007-06-13 Hemant Ishwaran , J. Sunil Rao

Varying coefficient models have numerous applications in a wide scope of scientific areas. While enjoying nice interpretability, they also allow flexibility in modeling dynamic impacts of the covariates. But, in the new era of big data, it…

Methodology · Statistics 2014-10-27 Ming-Yen Cheng , Toshio Honda , Jin-Ting Zhang

We propose a novel methodology for feature screening in clustering massive datasets, in which both the number of features and the number of observations can potentially be very large. Taking advantage of a fusion penalization based convex…

Methodology · Statistics 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

How to select the active variables which have significant impact on the event of interest is a very important and meaningful problem in the statistical analysis of ultrahigh-dimensional data. Sure independent screening procedure has been…

Methodology · Statistics 2023-03-28 Xuerui Li , Yanyan Liu , Yankai Peng , Jing Zhang
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