Adversarial Surrogate Risk Bounds for Binary Classification

Fuente: arXiv
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Auteur principal: Frank, Natalie S.
Format: Preprint
Publié: 2025
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author Frank, Natalie S.
author_facet Frank, Natalie S.
contents A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial surrogate risk. Recent work has characterized the conditions under which any sequence minimizing the adversarial surrogate risk also minimizes the adversarial classification risk in the binary setting, a property known as adversarial consistency. However, these results do not address the rate at which the adversarial classification risk approaches its optimal value along such a sequence. This paper provides surrogate risk bounds that quantify that convergence rate.
format Preprint
id arxiv_https___arxiv_org_abs_2506_09348
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adversarial Surrogate Risk Bounds for Binary Classification
Frank, Natalie S.
Machine Learning
Statistics Theory
A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial surrogate risk. Recent work has characterized the conditions under which any sequence minimizing the adversarial surrogate risk also minimizes the adversarial classification risk in the binary setting, a property known as adversarial consistency. However, these results do not address the rate at which the adversarial classification risk approaches its optimal value along such a sequence. This paper provides surrogate risk bounds that quantify that convergence rate.
title Adversarial Surrogate Risk Bounds for Binary Classification
topic Machine Learning
Statistics Theory
url https://arxiv.org/abs/2506.09348