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Predictive performance of machine learning models trained with empirical risk minimization (ERM) can degrade considerably under distribution shifts. The presence of spurious correlations in training datasets leads ERM-trained models to…

机器学习 · 计算机科学 2023-02-08 Simon Roburin , Charles Corbière , Gilles Puy , Nicolas Thome , Matthieu Aubry , Renaud Marlet , Patrick Pérez

In this work, we study the weighted empirical risk minimization (weighted ERM) schema, in which an additional data-dependent weight function is incorporated when the empirical risk function is being minimized. We show that under a general…

机器学习 · 计算机科学 2025-01-07 Yikai Zhang , Jiahe Lin , Fengpei Li , Songzhu Zheng , Anant Raj , Anderson Schneider , Yuriy Nevmyvaka

The $\ell_0$-constrained empirical risk minimization ($\ell_0$-ERM) is a promising tool for high-dimensional statistical estimation. The existing analysis of $\ell_0$-ERM estimator is mostly on parameter estimation and support recovery…

统计理论 · 数学 2020-01-22 Xiao-Tong Yuan , Ping Li

Learning models that are robust to distribution shifts is a key concern in the context of their real-life applicability. Invariant Risk Minimization (IRM) is a popular framework that aims to learn robust models from multiple environments.…

机器学习 · 计算机科学 2023-04-04 Moulik Choraria , Ibtihal Ferwana , Ankur Mani , Lav R. Varshney

A common explanation for the failure of deep networks to generalize out-of-distribution is that they fail to recover the "correct" features. We challenge this notion with a simple experiment which suggests that ERM already learns sufficient…

机器学习 · 计算机科学 2022-10-31 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

We study the limits and capability of public-data assisted differentially private (PA-DP) algorithms. Specifically, we focus on the problem of stochastic convex optimization (SCO) with either labeled or unlabeled public data. For…

机器学习 · 计算机科学 2024-03-07 Enayat Ullah , Michael Menart , Raef Bassily , Cristóbal Guzmán , Raman Arora

We consider the random design regression model with square loss. We propose a method that aggregates empirical minimizers (ERM) over appropriately chosen random subsets and reduces to ERM in the extreme case, and we establish sharp oracle…

统计理论 · 数学 2017-07-04 Alexander Rakhlin , Karthik Sridharan , Alexandre B. Tsybakov

Models trained with empirical risk minimization (ERM) are known to learn to rely on spurious features, i.e., their prediction is based on undesired auxiliary features which are strongly correlated with class labels but lack causal…

机器学习 · 计算机科学 2024-01-11 Phuong Quynh Le , Jörg Schlötterer , Christin Seifert

We study differentially private (DP) algorithms for stochastic convex optimization (SCO). In this problem the goal is to approximately minimize the population loss given i.i.d. samples from a distribution over convex and Lipschitz loss…

机器学习 · 计算机科学 2019-08-28 Raef Bassily , Vitaly Feldman , Kunal Talwar , Abhradeep Thakurta

In many applications, the labeled data at the learner's disposal is subject to privacy constraints and is relatively limited. To derive a more accurate predictor for the target domain, it is often beneficial to leverage publicly available…

机器学习 · 计算机科学 2024-02-06 Raef Bassily , Corinna Cortes , Anqi Mao , Mehryar Mohri

Data is continuously generated by modern data sources, and a recent challenge in machine learning has been to develop techniques that perform well in an incremental (streaming) setting. In this paper, we investigate the problem of private…

数据结构与算法 · 计算机科学 2017-01-05 Shiva Prasad Kasiviswanathan , Kobbi Nissim , Hongxia Jin

Partial Label (PL) learning refers to the task of learning from the partially labeled data, where each training instance is ambiguously equipped with a set of candidate labels but only one is valid. Advances in the recent deep PL learning…

机器学习 · 计算机科学 2022-12-01 Ximing Li , Yuanzhi Jiang , Changchun Li , Yiyuan Wang , Jihong Ouyang

We propose Noise-Augmented Privacy-Preserving Empirical Risk Minimization (NAPP-ERM) that solves ERM with differential privacy guarantees. Existing privacy-preserving ERM approaches may be subject to over-regularization with the employment…

机器学习 · 统计学 2021-10-19 Yinan Li , Fang Liu

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

机器学习 · 计算机科学 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade

The paper deals with finite element approximations of elliptic Dirichlet boundary control problems posed on two-dimensional polygonal domains. Error estimates are derived for the approximation of the control and the state variables. Special…

数值分析 · 数学 2019-01-28 Thomas Apel , Mariano Mateos , Johannes Pfefferer , Arnd Rösch

Minimizing a convex risk function is the main step in many basic learning algorithms. We study protocols for convex optimization which provably leak very little about the individual data points that constitute the loss function.…

机器学习 · 计算机科学 2020-08-11 Di Wang , Adam Smith , Jinhui Xu

We study the problem of monitoring model performance in dynamic environments where labeled data are limited. To this end, we propose prediction-powered risk monitoring (PPRM), a semi-supervised risk-monitoring approach based on…

机器学习 · 计算机科学 2026-02-03 Guangyi Zhang , Yunlong Cai , Guanding Yu , Osvaldo Simeone

In this paper, we study the problem of estimating the covariance matrix under differential privacy, where the underlying covariance matrix is assumed to be sparse and of high dimensions. We propose a new method, called DP-Thresholding, to…

机器学习 · 计算机科学 2019-04-17 Di Wang , Jinhui Xu

The paper redefines econometric identification under formal privacy constraints, particularly differential privacy (DP). Traditionally, econometrics focuses on point or partial identification, aiming to recover parameters precisely or…

计量经济学 · 经济学 2025-11-06 Tatiana Komarova , Denis Nekipelov

We present differentially private (DP) algorithms for bilevel optimization, a problem class that received significant attention lately in various machine learning applications. These are the first algorithms for such problems under standard…

机器学习 · 计算机科学 2026-01-15 Guy Kornowski