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With the rapid development of modern technology, massive amounts of data with complex pattern are generated. Gaussian process models that can easily fit the non-linearity in data become more and more popular nowadays. It is often the case…

应用统计 · 统计学 2023-09-11 Zhiyong Hu , Dipak Dey

This paper proposes a general framework for penalized convex empirical criteria and a new version of the Sparse-Group LASSO (SGL, Simon and al., 2013), called the adaptive SGL, where both penalties of the SGL are weighted by preliminary…

统计理论 · 数学 2016-12-01 Benjamin Poignard

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

统计方法学 · 统计学 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu

In the analysis of survival outcome supplemented with both clinical information and high-dimensional gene expression data, use of the traditional Cox proportional hazards model (1972) fails to meet some emerging needs in biomedical…

统计计算 · 统计学 2018-02-26 Jean Claude Utazirubanda , Tomas Leon , Papa Ngom

Standard approaches for variable selection in linear models are not tailored to deal properly with high-dimensional and incomplete data. Currently, methods dedicated to high-dimensional data handle missing values by ad-hoc strategies, like…

统计方法学 · 统计学 2021-06-09 Avner Bar-Hen , Vincent Audigier

Variable selection is recognized as one of the most critical steps in statistical modeling. The problems encountered in engineering and social sciences are commonly characterized by over-abundance of explanatory variables, non-linearities…

统计计算 · 统计学 2016-07-14 Ankur Sinha , Pekka Malo , Timo Kuosmanen

Although conceptually related, variable selection and relative importance (RI) analysis have been treated quite differently in the literature. While RI is typically used for post-hoc model explanation, this paper explores its potential for…

机器学习 · 统计学 2026-04-24 Tien-En Chang , Argon Chen

After selection with the Group LASSO (or generalized variants such as the overlapping, sparse, or standardized Group LASSO), inference for the selected parameters is unreliable in the absence of adjustments for selection bias. In the…

统计方法学 · 统计学 2022-08-16 Snigdha Panigrahi , Peter W. MacDonald , Daniel Kessler

The Lasso is one of the most ubiquitous methods for variable selection in high-dimensional linear regression and has been studied extensively under different regimes. In a particular asymptotic setup entailing $n/p\to \text{constant}$, an…

统计理论 · 数学 2026-02-10 Lina Hidmi , Asaf Weinstein

Background: Selecting feature genes to predict phenotypes is one of the typical tasks in analyzing genomics data. Though many general-purpose algorithms were developed for prediction, dealing with highly correlated genes in the prediction…

应用统计 · 统计学 2022-04-11 Li Xing , Songwan Joun , Kurt Mackay , Mary Lesperance , Xuekui Zhang

Feature selection remains a major challenge in medical prediction, where existing approaches such as LASSO often lack robustness and interpretability. We introduce GRASP, a novel framework that couples Shapley value driven attribution with…

机器学习 · 计算机科学 2026-05-01 Yuheng Luo , Shuyan Li , Zhong Cao

The selection of grouped variables using the random forest algorithm is considered. First a new importance measure adapted for groups of variables is proposed. Theoretical insights into this criterion are given for additive regression…

统计方法学 · 统计学 2015-05-20 Baptiste Gregorutti , Bertrand Michel , Philippe Saint-Pierre

Variable selection is crucial in high-dimensional omics-based analyses, since it is biologically reasonable to assume only a subset of non-noisy features contributes to the data structures. However, the task is particularly hard in an…

统计方法学 · 统计学 2022-03-22 Emilie Eliseussen , Thomas Fleischer , Valeria Vitelli

Nowadays an increasing amount of data is available and we have to deal with models in high dimension (number of covariates much larger than the sample size). Under sparsity assumption it is reasonable to hope that we can make a good…

统计理论 · 数学 2014-01-23 Mélanie Blazère , Jean-Michel Loubes , Fabrice Gamboa

In genomic studies, identifying biomarkers associated with a variable of interest is a major concern in biomedical research. Regularized approaches are classically used to perform variable selection in high-dimensional linear models.…

统计方法学 · 统计学 2020-07-22 Wencan Zhu , Céline Lévy-Leduc , Nils Ternès

In this paper, we consider Bayesian variable selection problem of linear regression model with global-local shrinkage priors on the regression coefficients. We propose a variable selection procedure that select a variable if the ratio of…

统计方法学 · 统计学 2016-05-26 Xueying Tang , Xiaofan Xu , Malay Ghosh , Prasenjit Ghosh

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…

统计方法学 · 统计学 2014-09-24 Bo Jiang , Jun S. Liu

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…

统计理论 · 数学 2014-06-06 Ashkan Ertefaie , Masoud Asgharian , David A. Stephens

In the field of big data analytics, the search for efficient subdata selection methods that enable robust statistical inferences with minimal computational resources is of high importance. A procedure prior to subdata selection could…

统计方法学 · 统计学 2024-11-12 Vasilis Chasiotis , Lin Wang , Dimitris Karlis

Recently, considerable interest has focused on variable selection methods in regression situations where the number of predictors, $p$, is large relative to the number of observations, $n$. Two commonly applied variable selection approaches…

应用统计 · 统计学 2011-04-19 Peter Radchenko , Gareth M. James