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In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

Computation · Statistics 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

In randomized clinical trials, adjusting for baseline covariates can improve credibility and efficiency for demonstrating and quantifying treatment effects. This article studies the augmented inverse propensity weighted (AIPW) estimator,…

Methodology · Statistics 2024-03-27 Marlena S. Bannick , Jun Shao , Jingyi Liu , Yu Du , Yanyao Yi , Ting Ye

For the purpose of maximum likelihood estimation of static parameters, we apply a kernel smoother to the particles in the standard SIR filter for non-linear state space models with additive Gaussian observation noise. This reduces the Monte…

Computation · Statistics 2015-05-07 Tore Selland Kleppe , Hans Julius Skaug

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

When probability predictions are too cautious for decision making, boldness-recalibration enables responsible emboldening while maintaining the probability of calibration required by the user. We formulate boldness-recalibration as a…

Methodology · Statistics 2025-07-21 Adeline P. Guthrie , Christopher T. Franck

Inter-rater reliability (IRR), which is a prerequisite of high-quality ratings and assessments, may be affected by contextual variables such as the rater's or ratee's gender, major, or experience. Identification of such heterogeneity…

Methodology · Statistics 2023-02-17 Patrícia Martinková , František Bartoš , Marek Brabec

Many common estimators in machine learning and causal inference are linear smoothers, where the prediction is a weighted average of the training outcomes. Some estimators, such as ordinary least squares and kernel ridge regression, allow…

Machine Learning · Computer Science 2026-04-02 David Arbour , Harsh Parikh , Bijan Niknam , Elizabeth Stuart , Kara Rudolph , Avi Feller

Researchers would often like to leverage data from a collection of sources (e.g., primary studies in a meta-analysis) to estimate causal effects in a target population of interest. However, traditional meta-analytic methods do not produce…

Methodology · Statistics 2025-05-15 Guanbo Wang , Sean McGrath , Yi Lian

This work presents a general framework for solving the low rank and/or sparse matrix minimization problems, which may involve multiple non-smooth terms. The Iteratively Reweighted Least Squares (IRLS) method is a fast solver, which smooths…

Machine Learning · Computer Science 2015-06-18 Canyi Lu , Zhouchen Lin , Shuicheng Yan

In precision medicine, one of the most important problems is estimating the optimal individualized treatment rules (ITR), which typically involves recommending treatment decisions based on fully observed individual characteristics of…

Methodology · Statistics 2025-10-15 Yue Zhang , Shanshan Luo , Zhi Geng , Yangbo He

Integrating multiple observational studies for meta-analysis has sparked much interest. The presented R package WMAP (Weighted Meta-Analysis with Pseudo-Population) addresses a critical gap in the implementation of integrative weighting…

Methodology · Statistics 2025-07-01 Subharup Guha , Mengqi Xu , Kashish Priyam , Yi Li

Sliced inverse regression (SIR) is a popular sufficient dimension reduction method that identifies a few linear transformations of the covariates without losing regression information with the response. In high-dimensional settings, SIR can…

Methodology · Statistics 2025-12-04 Linh H. Nghiem , Francis. K. C. Hui , Samuel Muller , A. H. Welsh

A modified gamma kernel should not be automatically preferred to the standard gamma kernel, especially for univariate convex densities with a pole at the origin. In the multivariate case, multiple combined gamma kernels, defined as a…

Statistics Theory · Mathematics 2024-04-12 Sobom M. Somé , Célestin C. Kokonendji , Smail Adjabi , Naushad A. Mamode Khan , Said Beddek

We provide the first global model recovery results for the IRLS (iteratively reweighted least squares) heuristic for robust regression problems. IRLS is known to offer excellent performance, despite bad initializations and data corruption,…

Machine Learning · Computer Science 2020-06-26 Bhaskar Mukhoty , Govind Gopakumar , Prateek Jain , Purushottam Kar

Probabilistic Regression Trees (PRTrees) generalize traditional decision trees by incorporating probability functions that associate each data point with different regions of the tree, providing smooth decisions and continuous responses.…

Methodology · Statistics 2025-10-07 Taiane Schaedler Prass , Alisson Silva Neimaier , Guilherme Pumi

Item Response Theory (IRT) is widely applied in the human sciences to model persons' responses on a set of items measuring one or more latent constructs. While several R packages have been developed that implement IRT models, they tend to…

Computation · Statistics 2020-02-04 Paul-Christian Bürkner

Robust statistical data modelling under potential model mis-specification often requires leaving the parametric world for the nonparametric. In the latter, parameters are infinite dimensional objects such as functions, probability…

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Multilingual representations embed words with similar meanings to share a common semantic space across languages, creating opportunities to transfer debiasing effects between languages. However, existing methods for debiasing are unable to…

Computation and Language · Computer Science 2025-12-30 Shun Shao , Yftah Ziser , Zheng Zhao , Yifu Qiu , Shay B. Cohen , Anna Korhonen

We consider high dimensional sparse regression, and develop strategies able to deal with arbitrary -- possibly, severe or coordinated -- errors in the covariance matrix $X$. These may come from corrupted data, persistent experimental…

Machine Learning · Statistics 2013-01-15 Yudong Chen , Constantine Caramanis , Shie Mannor