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Linear mixed effects models are highly flexible in handling a broad range of data types and are therefore widely used in applications. A key part in the analysis of data is model selection, which often aims to choose a parsimonious model…

Methodology · Statistics 2013-06-12 Samuel Müller , J. L. Scealy , A. H. Welsh

Recent work has raised concerns on the risk of spurious correlations and unintended biases in statistical machine learning models that threaten model robustness and fairness. In this paper, we propose a simple and intuitive regularization…

Machine Learning · Computer Science 2021-10-05 Zhao Wang , Kai Shu , Aron Culotta

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

Machine Learning · Statistics 2020-07-21 John Duchi , Hongseok Namkoong

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

Machine Learning · Computer Science 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

The robustness of classifiers has become a question of paramount importance in the past few years. Indeed, it has been shown that state-of-the-art deep learning architectures can easily be fooled with imperceptible changes to their inputs.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Théo Giraudon , Vincent Gripon , Matthias Löwe , Franck Vermet

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

Methodology · Statistics 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

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…

Methodology · Statistics 2020-01-29 Fan Wang , Sach Mukherjee , Sylvia Richardson , Steven M. Hill

We propose a robust elastic net (REN) model for high-dimensional sparse regression and give its performance guarantees (both the statistical error bound and the optimization bound). A simple idea of trimming the inner product is applied to…

Machine Learning · Computer Science 2016-05-03 Weiyang Liu , Rongmei Lin , Meng Yang

This paper focuses on developing efficient and robust evaluation metrics for RANSAC hypotheses to achieve accurate 3D rigid registration. Estimating six-degree-of-freedom (6-DoF) pose from feature correspondences remains a popular approach…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Jiaqi Yang , Zhiqiang Huang , Siwen Quan , Qian Zhang , Yanning Zhang , Zhiguo Cao

Robust methods, though ubiquitous in practice, are yet to be fully understood in the context of regularized estimation and high dimensions. Even simple questions become challenging very quickly. For example, classical statistical theory…

Statistics Theory · Mathematics 2023-11-10 Jing Zhou , Gerda Claeskens , Jelena Bradic

Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

Machine Learning · Statistics 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei

The product moment covariance is a cornerstone of multivariate data analysis, from which one can derive correlations, principal components, Mahalanobis distances and many other results. Unfortunately the product moment covariance and the…

Methodology · Statistics 2021-05-21 Jakob Raymaekers , Peter J. Rousseeuw

Quantifying robustness in a single measure for the purposes of model selection, development of adversarial training methods, and anticipating trends has so far been elusive. The simplest metric to consider is the number of trainable…

Machine Learning · Computer Science 2024-10-25 David Khachaturov , Robert Mullins

Robustness in terms of outliers is an important topic and has been formally studied for a variety of problems in machine learning and computer vision. Generalized median computation is a special instance of consensus learning and a common…

Machine Learning · Computer Science 2025-03-10 Andreas Nienkötter , Sandro Vega-Pons , Xiaoyi Jiang

In different fields of applications including, but not limited to, behavioral, environmental, medical sciences and econometrics, the use of panel data regression models has become increasingly popular as a general framework for making…

Methodology · Statistics 2020-05-15 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

In system identification, estimating parameters of a model using limited observations results in poor identifiability. To cope with this issue, we propose a new method to simultaneously select and estimate sensitive parameters as key model…

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

Methodology · Statistics 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

Model selection is a ubiquitous problem that arises in the application of many statistical and machine learning methods. In the likelihood and related settings, it is typical to use the method of information criteria (IC) to choose the most…

Statistics Theory · Mathematics 2024-08-13 Hien Duy Nguyen

Model selection criteria are one of the most important tools in statistics. Proofs showing a model selection criterion is asymptotically optimal are tailored to the type of model (linear regression, quantile regression, penalized…

Statistics Theory · Mathematics 2025-10-17 Amaze Lusompa

We evaluate the robustness of several large language models on multiple datasets. Robustness here refers to the relative insensitivity of the model's answers to meaning-preserving variants of their input. Benchmark datasets are constructed…

Computation and Language · Computer Science 2024-11-05 Samuel Ackerman , Ella Rabinovich , Eitan Farchi , Ateret Anaby-Tavor