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Neural Posterior Estimation methods for simulation-based inference can be ill-suited for dealing with posterior distributions obtained by conditioning on multiple observations, as they tend to require a large number of simulator calls to…

Machine Learning · Computer Science 2023-07-11 Tomas Geffner , George Papamakarios , Andriy Mnih

We investigate the problem of statistical inference for logistic regression with high-dimensional covariates in settings where dependence among individuals is induced by an underlying Markov random field. Going beyond the pairwise…

Statistics Theory · Mathematics 2026-03-23 Josh Miles , Sohom Bhattacharya

Beta regression is commonly employed when the outcome variable is a proportion. Since its conception, the approach has been widely used in applications spanning various scientific fields. A series of extensions have been proposed over time,…

Methodology · Statistics 2025-07-29 Niloofar Ramezani , Martin Slawski

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Post-selection inference consists in providing statistical guarantees, based on a data set, that are robust to a prior model selection step on the same data set. In this paper, we address an instance of the post-selection-inference problem,…

Statistics Theory · Mathematics 2025-06-16 Dominique Bontemps , François Bachoc , Pierre Neuvial

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

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…

Methodology · Statistics 2014-09-24 Bo Jiang , Jun S. Liu

We consider the estimation and inference in a system of high-dimensional regression equations allowing for temporal and cross-sectional dependency in covariates and error processes, covering rather general forms of weak temporal dependence.…

Econometrics · Economics 2020-05-18 Victor Chernozhukov , Wolfgang K. Härdle , Chen Huang , Weining Wang

Effect modification occurs when the effect of the treatment on an outcome varies according to the level of other covariates and often has important implications in decision making. When there are tens or hundreds of covariates, it becomes…

Methodology · Statistics 2021-11-23 Qingyuan Zhao , Dylan S. Small , Ashkan Ertefaie

Logistic regression is a fundamental and widely used statistical method for modeling binary outcomes based on covariates. However, the presence of missing data, particularly in settings involving hybrid covariates (a mix of discrete and…

Methodology · Statistics 2025-06-05 Mohamed Cherifi , Xujia Zhu , Mohammed Nabil El Korso , Ammar Mesloub

This paper presents a novel method to make statistical inferences for both the model support and regression coefficients in a high-dimensional logistic regression model. Our method is based on the repro samples framework, in which we…

Methodology · Statistics 2024-03-18 Xiaotian Hou , Linjun Zhang , Peng Wang , Min-ge Xie

Penalized regression methods, most notably the lasso, are a popular approach to analyzing high-dimensional data. An attractive property of the lasso is that it naturally performs variable selection. An important area of concern, however, is…

Methodology · Statistics 2026-05-13 Ryan Miller , Patrick Breheny

We propose a new variable selection procedure for a functional linear model with multiple scalar responses and multiple functional predictors. This method is based on basis expansions of the involved functional predictors and coefficients…

Statistics Theory · Mathematics 2023-11-03 Alban Mina Mbina , Guy Martial Nkiet

Grouping structures arise naturally in many statistical modeling problems. Several methods have been proposed for variable selection that respect grouping structure in variables. Examples include the group LASSO and several concave group…

Statistics Theory · Mathematics 2013-01-07 Jian Huang , Patrick Breheny , Shuangge Ma

The selection of essential variables in logistic regression is vital because of its extensive use in medical studies, finance, economics and related fields. In this paper, we explore four main typologies (test-based, penalty-based,…

Methodology · Statistics 2022-05-17 Souvik Bag , Kapil Gupta , Soudeep Deb

We consider the problem of selective inference after solving a (randomized) convex statistical learning program in the form of a penalized or constrained loss function. Our first main result is a change-of-measure formula that describes…

Statistics Theory · Mathematics 2016-09-20 Xiaoying Tian Harris , Snigdha Panigrahi , Jelena Markovic , Nan Bi , Jonathan Taylor

For linear models that may have asymmetric errors, we study variable selection by cross-validation. The data are split into training and validation sets, with the number of observations in the validation set much larger than in the training…

Methodology · Statistics 2026-01-16 Bilel Bousselmi , Gabriela Ciuperca

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

Machine Learning · Computer Science 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

In this paper, we propose a propensity score adapted variable selection procedure to select covariates for inclusion in propensity score models, in order to eliminate confounding bias and improve statistical efficiency in observational…

Methodology · Statistics 2021-09-14 Kangjie Zhou , Jinzhu Jia

The practice of pooling several individual test statistics to form aggregate tests is common in many statistical application where individual tests may be underpowered. While selection by aggregate tests can serve to increase power, the…

Methodology · Statistics 2020-12-08 Ruth Heller , Amit Meir , Nilanjan Chatterjee