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Observational epidemiological studies commonly seek to estimate the causal effect of an exposure on an outcome. Adjustment for potential confounding bias in modern studies is challenging due to the presence of high-dimensional confounding,…

统计方法学 · 统计学 2025-08-29 Susan Ellul , Stijn Vansteelandt , John B. Carlin , Margarita Moreno-Betancur

Penalized likelihood approaches are widely used for high-dimensional regression. Although many methods have been proposed and the associated theory is now well-developed, the relative efficacy of different approaches in finite-sample…

统计方法学 · 统计学 2020-01-29 Fan Wang , Sach Mukherjee , Sylvia Richardson , Steven M. Hill

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

统计方法学 · 统计学 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

We study the problem of estimating high-dimensional regression models regularized by a structured sparsity-inducing penalty that encodes prior structural information on either the input or output variables. We consider two widely adopted…

机器学习 · 统计学 2012-07-02 Xi Chen , Qihang Lin , Seyoung Kim , Jaime G. Carbonell , Eric P. Xing

Most data sets comprise of measurements on continuous and categorical variables. In regression and classification Statistics literature, modeling high-dimensional mixed predictors has received limited attention. In this paper we study the…

Sliced inverse regression is a popular tool for sufficient dimension reduction, which replaces covariates with a minimal set of their linear combinations without loss of information on the conditional distribution of the response given the…

机器学习 · 统计学 2018-09-18 Kean Ming Tan , Zhaoran Wang , Tong Zhang , Han Liu , R. Dennis Cook

Estimating an individual's potential response to continuously varied treatments is crucial for addressing causal questions across diverse domains, from healthcare to social sciences. However, existing methods are limited either to…

机器学习 · 计算机科学 2024-10-22 Shutong Chen , Yang Li

In causal matching designs, some control subjects are often left unmatched, and some covariates are often left unmodeled. This article introduces "rebar," a method using high-dimensional modeling to incorporate these commonly discarded data…

统计方法学 · 统计学 2018-02-26 Adam C Sales , Ben B Hansen , Brian Rowan

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

统计方法学 · 统计学 2019-05-09 Abhik Ghosh , Magne Thoresen

Unmeasured confounding and selection bias are often of concern in observational studies and may invalidate a causal analysis if not appropriately accounted for. Under outcome-dependent sampling, a latent factor that has causal effects on…

统计方法学 · 统计学 2022-08-03 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

Sparse estimation of the precision matrix under high-dimensional scaling constitutes a canonical problem in statistics and machine learning. Numerous regression and likelihood based approaches, many frequentist and some Bayesian in nature…

统计方法学 · 统计学 2020-05-20 Peyman Jalali , Kshitij Khare , George Michailidis

Principal component analysis continues to be a powerful tool in dimension reduction of high dimensional data. We assume a variance-diverging model and use the high-dimension, low-sample-size asymptotics to show that even though the…

统计理论 · 数学 2020-09-28 Sungkyu Jung

The estimation of the treatment effect is often biased in the presence of unobserved confounding variables which are commonly referred to as hidden variables. Although a few methods have been recently proposed to handle the effect of hidden…

统计方法学 · 统计学 2022-08-01 Kevin Jiang , Yang Ning

Prior distributions for high-dimensional linear regression require specifying a joint distribution for the unobserved regression coefficients, which is inherently difficult. We instead propose a new class of shrinkage priors for linear…

统计方法学 · 统计学 2020-07-09 Yan Dora Zhang , Brian P. Naughton , Howard D. Bondell , Brian J. Reich

Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

统计方法学 · 统计学 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

Causal inference has been increasingly reliant on observational studies with rich covariate information. To build tractable causal procedures, such as the doubly robust estimators, it is imperative to first extract important features from…

统计方法学 · 统计学 2022-02-08 Dingke Tang , Dehan Kong , Wenliang Pan , Linbo Wang

Principal stratification (PS) is a commonly used approach for understanding the mechanisms through which a treatment affects an outcome. The goal of this work is to extend the PS framework to studies with continuous treatments, which…

统计方法学 · 统计学 2025-05-20 Joseph Antonelli , Minxuan Wu , Fabrizia Mealli , Brenden Beck , Alessandra Mattei

Motivated by the proliferation of observational datasets and the need to integrate non-randomized evidence with randomized controlled trials, causal inference researchers have recently proposed several new methodologies for combining biased…

统计方法学 · 统计学 2023-09-14 Evan T. R. Rosenman , Francesca Dominici , Luke Miratrix

We develop a Bayesian tree ensemble model to estimate heterogeneous treatment effects in censored survival data with high-dimensional covariates. Instead of imposing sparsity through the tree structure, we place a horseshoe prior directly…

统计方法学 · 统计学 2026-05-08 Tijn Jacobs , Wessel N. van Wieringen , Stéphanie L. van der Pas

Penalization schemes like Lasso or ridge regression are routinely used to regress a response of interest on a high-dimensional set of potential predictors. Despite being decisive, the question of the relative strength of penalization is…

统计方法学 · 统计学 2018-11-08 Britta Velten , Wolfgang Huber