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We study the adversarial robustness in offline reinforcement learning. Given a batch dataset consisting of tuples $(s, a, r, s')$, an adversary is allowed to arbitrarily modify $\epsilon$ fraction of the tuples. From the corrupted dataset…

机器学习 · 计算机科学 2021-06-15 Xuezhou Zhang , Yiding Chen , Jerry Zhu , Wen Sun

Subsampling methods have been recently proposed to speed up least squares estimation in large scale settings. However, these algorithms are typically not robust to outliers or corruptions in the observed covariates. The concept of influence…

机器学习 · 统计学 2014-06-20 Brian McWilliams , Gabriel Krummenacher , Mario Lucic , Joachim M. Buhmann

Machine learning algorithms are known to be susceptible to data poisoning attacks, where an adversary manipulates the training data to degrade performance of the resulting classifier. In this work, we present a unifying view of randomized…

机器学习 · 计算机科学 2021-02-24 Elan Rosenfeld , Ezra Winston , Pradeep Ravikumar , J. Zico Kolter

We study multivariate linear regression under Gaussian covariates in two settings, where data may be erased or corrupted by an adversary under a coordinate-wise budget. In the incomplete data setting, an adversary may inspect the dataset…

数据结构与算法 · 计算机科学 2025-09-24 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

We study a class of adversarial bandit optimization problems in which the loss functions may be non-convex and non-smooth. In each round, the learner observes a loss that consists of an underlying linear component together with an…

机器学习 · 计算机科学 2026-03-30 Zhuoyu Cheng , Kohei Hatano , Eiji Takimoto

In stochastic optimization, the population risk is generally approximated by the empirical risk. However, in the large-scale setting, minimization of the empirical risk may be computationally restrictive. In this paper, we design an…

机器学习 · 统计学 2016-11-22 Murat A. Erdogdu , Mohsen Bayati , Lee H. Dicker

Gaussian Graphical Models (GGMs) are popular tools for studying network structures. However, many modern applications such as gene network discovery and social interactions analysis often involve high-dimensional noisy data with outliers or…

机器学习 · 统计学 2015-10-30 Eunho Yang , Aurélie C. Lozano

We initiate the study of multi-stage episodic reinforcement learning under adversarial corruptions in both the rewards and the transition probabilities of the underlying system extending recent results for the special case of stochastic…

机器学习 · 计算机科学 2023-11-02 Thodoris Lykouris , Max Simchowitz , Aleksandrs Slivkins , Wen Sun

Learning in the presence of label noise is a challenging yet important task: it is crucial to design models that are robust in the presence of mislabeled datasets. In this paper, we discover that a new class of loss functions called the…

机器学习 · 计算机科学 2020-02-18 Liu Ziyin , Blair Chen , Ru Wang , Paul Pu Liang , Ruslan Salakhutdinov , Louis-Philippe Morency , Masahito Ueda

In performative Reinforcement Learning (RL), an agent faces a policy-dependent environment: the reward and transition functions depend on the agent's policy. Prior work on performative RL has studied the convergence of repeated retraining…

机器学习 · 计算机科学 2025-05-12 Vasilis Pollatos , Debmalya Mandal , Goran Radanovic

Machine learning algorithms have grown in sophistication over the years and are increasingly deployed for real-life applications. However, when using machine learning techniques in practical settings, particularly in high-risk applications…

机器学习 · 计算机科学 2023-10-06 Sukrita Singh , Neeraj Sarna , Yuanyuan Li , Yang Li , Agni Orfanoudaki , Michael Berger

We study episodic reinforcement learning under unknown adversarial corruptions in both the rewards and the transition probabilities of the underlying system. We propose new algorithms which, compared to the existing results in (Lykouris et…

机器学习 · 计算机科学 2021-03-09 Yifang Chen , Simon S. Du , Kevin Jamieson

We study the problem of high-dimensional linear regression in a robust model where an $\epsilon$-fraction of the samples can be adversarially corrupted. We focus on the fundamental setting where the covariates of the uncorrupted samples are…

机器学习 · 计算机科学 2018-06-04 Ilias Diakonikolas , Weihao Kong , Alistair Stewart

The Predictive Normalized Maximum Likelihood (pNML) scheme has been recently suggested for universal learning in the individual setting, where both the training and test samples are individual data. The goal of universal learning is to…

机器学习 · 计算机科学 2020-01-09 Koby Bibas , Yaniv Fogel , Meir Feder

Robust low-rank approximation under row-wise adversarial corruption can be achieved with a single pass, randomized procedure that detects and removes outlier rows by thresholding their projected norms. We propose a scalable, non-iterative…

机器学习 · 计算机科学 2025-04-04 Aidan Tiruvan

Empirical risk minimization (ERM) is the workhorse of machine learning, whether for classification and regression or for off-policy policy learning, but its model-agnostic guarantees can fail when we use adaptively collected data, such as…

Robust estimators for generalized linear models (GLMs) are not easy to develop due to the nature of the distributions involved. Recently, there has been growing interest in robust estimation methods, particularly in contexts involving a…

统计方法学 · 统计学 2025-07-08 Marina Valdora , Claudio Agostinelli

Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks. In this manuscript, we characterise the learning of a mixture of $K$ Gaussians with generic means…

Topic models provide a useful text-mining tool for learning, extracting, and discovering latent structures in large text corpora. Although a plethora of methods have been proposed for topic modeling, lacking in the literature is a formal…

机器学习 · 统计学 2022-08-12 Yinyin Chen , Shishuang He , Yun Yang , Feng Liang

In a standard classification framework a set of trustworthy learning data are employed to build a decision rule, with the final aim of classifying unlabelled units belonging to the test set. Therefore, unreliable labelled observations,…

应用统计 · 统计学 2019-11-20 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy