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Despite extraordinary progress, current machine learning systems have been shown to be brittle against adversarial examples: seemingly innocuous but carefully crafted perturbations of test examples that cause machine learning predictors to…

机器学习 · 计算机科学 2023-06-14 Omar Montasser

Modern machine learning approaches to classification, including AdaBoost, support vector machines, and deep neural networks, utilize surrogate loss techniques to circumvent the computational complexity of minimizing empirical classification…

计量经济学 · 经济学 2023-07-26 Toru Kitagawa , Shosei Sakaguchi , Aleksey Tetenov

We study the rates of convergence from empirical surrogate risk minimizers to the Bayes optimal classifier. Specifically, we introduce the notion of \emph{consistency intensity} to characterize a surrogate loss function and exploit this…

机器学习 · 统计学 2021-02-26 Jingwei Zhang , Tongliang Liu , Dacheng Tao

Despite the enormous success of machine learning models in various applications, most of these models lack resilience to (even small) perturbations in their input data. Hence, new methods to robustify machine learning models seem very…

机器学习 · 计算机科学 2020-10-30 Fariborz Salehi , Babak Hassibi

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

机器学习 · 计算机科学 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

机器学习 · 计算机科学 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

We study adversarial perturbations when the instances are uniformly distributed over $\{0,1\}^n$. We study both "inherent" bounds that apply to any problem and any classifier for such a problem as well as bounds that apply to specific…

机器学习 · 计算机科学 2018-10-30 Dimitrios I. Diochnos , Saeed Mahloujifar , Mohammad Mahmoody

Adversarial training is by far the most successful strategy for improving robustness of neural networks to adversarial attacks. Despite its success as a defense mechanism, adversarial training fails to generalize well to unperturbed test…

机器学习 · 计算机科学 2019-10-18 Yogesh Balaji , Tom Goldstein , Judy Hoffman

We carefully study how well minimizing convex surrogate loss functions, corresponds to minimizing the misclassification error rate for the problem of binary classification with linear predictors. In particular, we show that amongst all…

机器学习 · 计算机科学 2012-07-03 Shai Ben-David , David Loker , Nathan Srebro , Karthik Sridharan

Despite the wide empirical success of modern machine learning algorithms and models in a multitude of applications, they are known to be highly susceptible to seemingly small indiscernible perturbations to the input data known as…

机器学习 · 统计学 2022-04-05 Adel Javanmard , Mahdi Soltanolkotabi

In this work, we consider a binary classification problem and cast it into a binary hypothesis testing framework, where the observations can be perturbed by an adversary. To improve the adversarial robustness of a classifier, we include an…

机器学习 · 计算机科学 2021-10-01 Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

Standard adversarial training approaches suffer from robust overfitting where the robust accuracy decreases when models are adversarially trained for too long. The origin of this problem is still unclear and conflicting explanations have…

机器学习 · 计算机科学 2022-11-28 Muhammad Zaid Hameed , Beat Buesser

In various approaches to learning, notably in domain adaptation, active learning, learning under covariate shift, semi-supervised learning, learning with concept drift, and the like, one often wants to compare a baseline classifier to one…

机器学习 · 计算机科学 2017-07-14 Marco Loog , Jesse H. Krijthe , Are C. Jensen

Recent works on adversarial perturbations show that there is an inherent trade-off between standard test accuracy and adversarial accuracy. Specifically, they show that no classifier can simultaneously be robust to adversarial perturbations…

机器学习 · 统计学 2019-03-26 Arun Sai Suggala , Adarsh Prasad , Vaishnavh Nagarajan , Pradeep Ravikumar

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

机器学习 · 计算机科学 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

We present a detailed study of surrogate losses and algorithms for multi-label learning, supported by $H$-consistency bounds. We first show that, for the simplest form of multi-label loss (the popular Hamming loss), the well-known…

机器学习 · 计算机科学 2024-07-19 Anqi Mao , Mehryar Mohri , Yutao Zhong

This paper aims to understand whether machine learning models should be trained using cost-sensitive surrogates or cost-agnostic ones (e.g., cross-entropy). Analyzing this question through the lens of $\mathcal{H}$-calibration, we find that…

机器学习 · 计算机科学 2025-02-28 Sanket Shah , Milind Tambe , Jessie Finocchiaro

We study losses for binary classification and class probability estimation and extend the understanding of them from margin losses to general composite losses which are the composition of a proper loss with a link function. We characterise…

机器学习 · 统计学 2009-12-18 Mark D. Reid , Robert C. Williamson

Despite their numerous successes, there are many scenarios where adversarial risk metrics do not provide an appropriate measure of robustness. For example, test-time perturbations may occur in a probabilistic manner rather than being…

机器学习 · 统计学 2021-08-03 Benjie Wang , Stefan Webb , Tom Rainforth

We present surrogate regret bounds for arbitrary surrogate losses in the context of binary classification with label-dependent costs. Such bounds relate a classifier's risk, assessed with respect to a surrogate loss, to its cost-sensitive…

机器学习 · 统计学 2010-09-15 Clayton Scott