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Modern machine learning models are prone to over-reliance on spurious correlations, which can often lead to poor performance on minority groups. In this paper, we identify surprising and nuanced behavior of finetuned models on worst-group…

Machine Learning · Computer Science 2024-10-29 Tyler LaBonte , John C. Hill , Xinchen Zhang , Vidya Muthukumar , Abhishek Kumar

We study the problem of learning a single neuron under standard squared loss in the presence of arbitrary label noise and group-level distributional shifts, for a broad family of covariate distributions. Our goal is to identify a…

Machine Learning · Computer Science 2026-01-27 Guyang Cao , Shuyao Li , Sushrut Karmalkar , Jelena Diakonikolas

Empirical risk minimization (ERM) is sensitive to spurious correlations in the training data, which poses a significant risk when deploying systems trained under this paradigm in high-stake applications. While the existing literature…

Machine Learning · Computer Science 2023-10-31 Christos Tsirigotis , Joao Monteiro , Pau Rodriguez , David Vazquez , Aaron Courville

We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

Machine Learning · Statistics 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

In this paper we study grouped variable selection problems by proposing a specified prior, called the nested spike and slab prior, to model collective behavior of regression coefficients. At the group level, the nested spike and slab prior…

Methodology · Statistics 2011-06-30 Tso-Jung Yen , Yu-Min Yen

While neural networks have shown remarkable success on classification tasks in terms of average-case performance, they often fail to perform well on certain groups of the data. Such group information may be expensive to obtain; thus, recent…

Machine Learning · Computer Science 2022-04-12 Nimit S. Sohoni , Maziar Sanjabi , Nicolas Ballas , Aditya Grover , Shaoliang Nie , Hamed Firooz , Christopher Ré

We propose a class of weighted least squares estimators for the tail index of a distribution function with a regularly varying upper tail. Our approach is based on the method developed by \cite{Holan2010} for the Parzen tail index.…

Statistics Theory · Mathematics 2020-03-02 Amenah AL-Najafi , László Viharos

State-space models are pivotal for dynamic system analysis but often struggle with outlier data that deviates from Gaussian distributions, frequently exhibiting skewness and heavy tails. This paper introduces a robust extension utilizing…

Signal Processing · Electrical Eng. & Systems 2025-07-31 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

High-dimensional covariance estimation is notoriously sensitive to outliers. While statistically optimal estimators exist for general heavy-tailed distributions, they often rely on computationally expensive techniques like semidefinite…

Machine Learning · Statistics 2026-01-06 Even He

In this paper, we construct a parameter estimation framework for robust low-rank tensor regression based on a truncation method and Huber loss, specifically focusing on models with random noise having only finite second-order moments.…

Statistics Theory · Mathematics 2025-12-05 Kangqiang Li , Bingqi Liu , Yang Yang , Li Wang

Long-tailed classification poses a challenge due to its heavy imbalance in class probabilities and tail-sensitivity risks with asymmetric misprediction costs. Recent attempts have used re-balancing loss and ensemble methods, but they are…

Machine Learning · Computer Science 2023-03-22 Bolian Li , Ruqi Zhang

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei

We consider the problem of robust compressed sensing whose objective is to recover a high-dimensional sparse signal from compressed measurements corrupted by outliers. A new sparse Bayesian learning method is developed for robust compressed…

Machine Learning · Statistics 2016-10-24 Qian Wan , Huiping Duan , Jun Fang , Hongbin Li

Here we propose a novel searching scheme for a tuning parameter in high-dimensional penalized regression methods to address variable selection and modeling when sample sizes are limited compared to the data dimensions. Our method is…

Quantitative Methods · Quantitative Biology 2020-02-11 Tao Jiang , Stephanie J. London , Mi Kyeong Lee , Josyf C. Mychaleckyj , Alison A. Motsinger-Reif

In this paper a new class of uniformity tests is proposed. It is shown that those tests are applicable to the cases of any simple null hypothesis as well as for the composite null hypothesis of rectangular distributions on arbitrary…

Methodology · Statistics 2018-08-21 Bojana Milošević

High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

Machine Learning · Statistics 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

A major challenge in Semi-Supervised Learning (SSL) is the limited information available about the class distribution in the unlabeled data. In many real-world applications this arises from the prevalence of long-tailed distributions, where…

Machine Learning · Computer Science 2025-02-04 Khiem Pham , Charles Herrmann , Ramin Zabih

Weighting estimators based on propensity scores are widely used for causal estimation in a variety of contexts, such as observational studies, marginal structural models and interference. They enjoy appealing theoretical properties such as…

Methodology · Statistics 2021-10-06 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , Xiao-Hua Zhou

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Effect modification means the size of a treatment effect varies with an observed covariate. Generally speaking, a larger treatment effect with more stable error terms is less sensitive to bias. Thus, we might be able to conclude that a…

Methodology · Statistics 2026-05-19 Yijun Fan , Dylan S. Small