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In a linear instrumental variables (IV) setting for estimating the causal effects of multiple confounded exposure/treatment variables on an outcome, we investigate the adaptive Lasso method for selecting valid instrumental variables from a…

Methodology · Statistics 2022-08-11 Xiaoran Liang , Eleanor Sanderson , Frank Windmeijer

We consider the problem of simultaneous variable selection and constant coefficient identification in high-dimensional varying coefficient models based on B-spline basis expansion. Both objectives can be considered as some type of model…

Methodology · Statistics 2010-08-16 Heng Lian

In this paper, we propose a new method for estimation and constructing confidence intervals for low-dimensional components in a high-dimensional model. The proposed estimator, called Constrained Lasso (CLasso) estimator, is obtained by…

Methodology · Statistics 2017-04-19 Yun Yang

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

Statistics Theory · Mathematics 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

Bayesian optimization (BO) is a leading method for optimizing expensive black-box optimization and has been successfully applied across various scenarios. However, BO suffers from the curse of dimensionality, making it challenging to scale…

Machine Learning · Computer Science 2025-04-03 Vu Viet Hoang , Hung The Tran , Sunil Gupta , Vu Nguyen

The high-dimensional linear model $y = X \beta^0 + \epsilon$ is considered and the focus is put on the problem of recovering the support $S^0$ of the sparse vector $\beta^0.$ We introduce Lasso-Zero, a new $\ell_1$-based estimator whose…

Methodology · Statistics 2019-04-15 Pascaline Descloux , Sylvain Sardy

We propose in this work to employ the Box-LASSO, a variation of the popular LASSO method, as a low-complexity decoder in a massive multiple-input multiple-output (MIMO) wireless communication system. The Box-LASSO is mainly useful for…

Information Theory · Computer Science 2022-02-02 Ayed M. Alrashdi , Abdullah E. Alrashdi , Amer Alghadhban , Mohamed A. H. Eleiwa

This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The…

Machine Learning · Computer Science 2024-08-15 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

The Lasso (Least Absolute Shrinkage and Selection Operator) has been a popular technique for simultaneous linear regression estimation and variable selection. In this paper, we propose a new novel approach for robust Lasso that follows the…

Methodology · Statistics 2016-05-13 Esa Ollila

The LASSO-Patternsearch algorithm is proposed to efficiently identify patterns of multiple dichotomous risk factors for outcomes of interest in demographic and genomic studies. The patterns considered are those that arise naturally from the…

Statistics Theory · Mathematics 2008-03-07 Weiliang Shi , Grace Wahba , Stephen Wright , Kristine Lee , Ronald Klein , Barbara Klein

We present novel soft-input soft-output (SISO) multiple-input multiple-output (MIMO) detectors based on the Chase detection principle [1] in the context of iterative and decoding (IDD). The proposed detector complexity is linear in the…

Information Theory · Computer Science 2015-06-22 Ahmad Gomaa , Louay Jalloul

Biomarker detection is an indispensable part of the diagnosis and treatment of low-grade glioma (LGG). However, current LGG biomarker detection methods rely on expensive and complex molecular genetic testing, for which professionals are…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Zijie Fang , Yihan Liu , Yifeng Wang , Xiangyang Zhang , Yang Chen , Changjing Cai , Yiyang Lin , Ying Han , Zhi Wang , Shan Zeng , Jun Tan , Yongbing Zhang , Hong Shen

This paper proposes a multi-stage projection-based Lasso procedure for the semiparametric sample selection model in high-dimensional settings under a weak nonparametric restriction on the selection correction. In particular, the number of…

Statistics Theory · Mathematics 2014-11-13 Ying Zhu

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

We develop an estimator for treatment effects in high-dimensional settings with additive measurement error, a prevalent challenge in modern econometrics. We introduce the Double/Debiased Convex Conditioned LASSO (Double/Debiased CoCoLASSO),…

Econometrics · Economics 2024-08-28 Geonwoo Kim , Suyong Song

Estimating a prediction function is a fundamental component of many data analyses. The super learner ensemble, a particular implementation of stacking, has desirable theoretical properties and has been used successfully in many…

Machine Learning · Statistics 2025-10-23 Brian D. Williamson , Drew King , Ying Huang

The propensity score (PS) is often used to control for large numbers of covariates in high-dimensional healthcare database studies. The least absolute shrinkage and selection operator (LASSO) has become the most widely used tool for fitting…

Methodology · Statistics 2025-12-17 Richard Wyss , Ben B. Hansen , Georg Hahn , Lars van der Laan , Kueiyu Joshua Lin

The LASSO is an attractive regularisation method for linear regression that combines variable selection with an efficient computation procedure. This paper is concerned with enhancing the performance of LASSO for square-free hierarchical…

Methodology · Statistics 2023-05-10 Shaoxiong Hu , Hugo Maruri-Aguliar , Zixiang Ma

Mediation analysis plays a crucial role in causal inference as it can investigate the pathways through which treatment influences outcome. Most existing mediation analysis assumes that mediation effects are static and homogeneous within…

Methodology · Statistics 2026-03-02 Yijiao Zhang , Yubai Yuan , Yuexia Zhang , Zhongyi Zhu , Annie Qu

We consider the problem of model selection and estimation in sparse high dimensional linear regression models with strongly correlated variables. First, we study the theoretical properties of the dual Lasso solution, and we show that joint…

Applications · Statistics 2017-03-21 Niharika Gauraha