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Machine learning models trained with purely observational data and the principle of empirical risk minimization \citep{vapnik_principles_1992} can fail to generalize to unseen domains. In this paper, we focus on the case where the problem…

Machine Learning · Statistics 2020-10-27 Maximilian Ilse , Jakub M. Tomczak , Patrick Forré

Recent advances in machine learning have shown promising results for financial prediction using large, over-parameterized models. This paper provides theoretical foundations and empirical validation for understanding when and how these…

Statistical Finance · Quantitative Finance 2025-07-08 Hasan Fallahgoul

Finetuning can cause spurious correlations to arise between non-essential features and the target labels, but benchmarks to study these effects involve contrived settings and narrow tasks. In contrast, we consider spurious correlations in…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Yiwei Yang , Chung Peng Lee , Shangbin Feng , Dora Zhao , Bingbing Wen , Anthony Z. Liu , Yulia Tsvetkov , Bill Howe

Machine learning has demonstrated remarkable prediction accuracy over i.i.d data, but the accuracy often drops when tested with data from another distribution. In this paper, we aim to offer another view of this problem in a perspective…

Machine Learning · Computer Science 2022-06-20 Haohan Wang , Zeyi Huang , Hanlin Zhang , Yong Jae Lee , Eric Xing

From benign overfitting in overparameterized models to rich power-law scalings in performance, simple ridge regression displays surprising behaviors sometimes thought to be limited to deep neural networks. This balance of phenomenological…

Machine Learning · Statistics 2026-05-08 Alexander Atanasov , Jacob A. Zavatone-Veth , Cengiz Pehlevan

Low-complexity non-smooth convex regularizers are routinely used to impose some structure (such as sparsity or low-rank) on the coefficients for linear predictors in supervised learning. Model consistency consists then in selecting the…

Optimization and Control · Mathematics 2019-01-17 Jalal Fadili , Guillaume Garrigos , Jérome Malick , Gabriel Peyré

Incorrectly labelled training data are frustratingly ubiquitous in both benchmark and specially curated datasets. Such mislabelling clearly adversely affects the performance and generalizability of models trained through supervised learning…

Machine Learning · Computer Science 2025-11-27 Nicholas Pellegrino , David Szczecina , Paul Fieguth

Extremile regression, as a least squares analog of quantile regression, is potentially useful tool for modeling and understanding the extreme tails of a distribution. However, existing extremile regression methods, as nonparametric…

Methodology · Statistics 2025-07-03 Rong Jiang , Keming Yu , Jiangfeng Wang

In classical statistics, the bias-variance trade-off describes how varying a model's complexity (e.g., number of fit parameters) affects its ability to make accurate predictions. According to this trade-off, optimal performance is achieved…

Machine Learning · Statistics 2022-08-05 Jason W. Rocks , Pankaj Mehta

In self-supervised representation learning, a common idea behind most of the state-of-the-art approaches is to enforce the robustness of the representations to predefined augmentations. A potential issue of this idea is the existence of…

Machine Learning · Computer Science 2021-08-26 Tianyu Hua , Wenxiao Wang , Zihui Xue , Sucheng Ren , Yue Wang , Hang Zhao

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improve the performance of subsequent machine learning tasks, like…

Machine Learning · Computer Science 2020-12-29 Yanyong Huang , Zongxin Shen , Fuxu Cai , Tianrui Li , Fengmao Lv

Data-driven machine learning models are being increasingly employed in several important inference problems in biology, chemistry, and physics which require learning over combinatorial spaces. Recent empirical evidence (see, e.g., [1], [2],…

Machine Learning · Statistics 2022-10-07 Amirali Aghazadeh , Nived Rajaraman , Tony Tu , Kannan Ramchandran

Randomized smoothing has shown promising certified robustness against adversaries in classification tasks. Despite such success with only zeroth-order access to base models, randomized smoothing has not been extended to a general form of…

Machine Learning · Computer Science 2024-05-16 Aref Miri Rekavandi , Olga Ohrimenko , Benjamin I. P. Rubinstein

Deep neural networks are over-parameterized and easily overfit the datasets they train on. In the extreme case, it has been shown that these networks can memorize a training set with fully randomized labels. We propose using the curvature…

Machine Learning · Computer Science 2023-10-03 Isha Garg , Deepak Ravikumar , Kaushik Roy

This paper investigates the high-dimensional linear regression with highly correlated covariates. In this setup, the traditional sparsity assumption on the regression coefficients often fails to hold, and consequently many model selection…

Methodology · Statistics 2019-03-26 Jianqing Fan , Bai Jiang , Qiang Sun

In unsupervised domain adaptation, existing theory focuses on situations where the source and target domains are close. In practice, conditional entropy minimization and pseudo-labeling work even when the domain shifts are much larger than…

Machine Learning · Computer Science 2020-12-09 Yining Chen , Colin Wei , Ananya Kumar , Tengyu Ma

When robots learn reward functions using high capacity models that take raw state directly as input, they need to both learn a representation for what matters in the task -- the task ``features" -- as well as how to combine these features…

Robotics · Computer Science 2023-03-20 Andreea Bobu , Yi Liu , Rohin Shah , Daniel S. Brown , Anca D. Dragan

Uncertainty estimation in machine learning has traditionally focused on the prediction stage, aiming to quantify confidence in model outputs while treating learned representations as deterministic and reliable by default. In this work, we…

Machine Learning · Statistics 2026-02-20 Yiyao Yang

Despite the rapid development and great success of machine learning models, extensive studies have exposed their disadvantage of inheriting latent discrimination and societal bias from the training data. This phenomenon hinders their…

Machine Learning · Computer Science 2021-12-30 Tianxiang Zhao , Enyan Dai , Kai Shu , Suhang Wang

In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

Machine Learning · Statistics 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri