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For semi-supervised techniques to be applied safely in practice we at least want methods to outperform their supervised counterparts. We study this question for classification using the well-known quadratic surrogate loss function. Using a…

Machine Learning · Statistics 2016-02-26 Jesse H. Krijthe , Marco Loog

Recent studies imply that deep neural networks are vulnerable to adversarial examples -- inputs with a slight but intentional perturbation are incorrectly classified by the network. Such vulnerability makes it risky for some…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Jinyu Yang , Chunyuan Li , Weizhi An , Hehuan Ma , Yuzhi Guo , Yu Rong , Peilin Zhao , Junzhou Huang

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…

Machine Learning · Computer Science 2012-07-03 Shai Ben-David , David Loker , Nathan Srebro , Karthik Sridharan

Defenses against adversarial examples, such as adversarial training, are typically tailored to a single perturbation type (e.g., small $\ell_\infty$-noise). For other perturbations, these defenses offer no guarantees and, at times, even…

Machine Learning · Computer Science 2019-10-21 Florian Tramèr , Dan Boneh

We propose a Regularization framework based on Adversarial Transformations (RAT) for semi-supervised learning. RAT is designed to enhance robustness of the output distribution of class prediction for a given data against input perturbation.…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Teppei Suzuki , Ikuro Sato

Deep Reinforcement Learning (DRL) policies are highly susceptible to adversarial noise in observations, which poses significant risks in safety-critical scenarios. The challenge inherent to adversarial perturbations is that by altering the…

Machine Learning · Computer Science 2025-04-25 Roman Belaire , Arunesh Sinha , Pradeep Varakantham

Motivated by bridging the simulation to reality gap in the context of safety-critical systems, we consider learning adversarially robust stability certificates for unknown nonlinear dynamical systems. In line with approaches from robust…

Machine Learning · Computer Science 2021-12-21 Thomas T. C. K. Zhang , Stephen Tu , Nicholas M. Boffi , Jean-Jacques E. Slotine , Nikolai Matni

Several recent works have developed methods for training classifiers that are certifiably robust against norm-bounded adversarial perturbations. These methods assume that all the adversarial transformations are equally important, which is…

Machine Learning · Computer Science 2019-03-06 Xiao Zhang , David Evans

Despite breakthrough performance, modern learning models are known to be highly vulnerable to small adversarial perturbations in their inputs. While a wide variety of recent \emph{adversarial training} methods have been effective at…

Machine Learning · Computer Science 2020-02-26 Adel Javanmard , Mahdi Soltanolkotabi , Hamed Hassani

Learning with rejection is an important framework that can refrain from making predictions to avoid critical mispredictions by balancing between prediction and rejection. Previous studies on cost-based rejection only focused on the…

Machine Learning · Computer Science 2023-11-09 Xin Cheng , Yuzhou Cao , Haobo Wang , Hongxin Wei , Bo An , Lei Feng

In Federated Learning (FL), models are as fragile as centrally trained models against adversarial examples. However, the adversarial robustness of federated learning remains largely unexplored. This paper casts light on the challenge of…

Machine Learning · Computer Science 2023-02-21 Jie Zhang , Bo Li , Chen Chen , Lingjuan Lyu , Shuang Wu , Shouhong Ding , Chao Wu

The choice of loss function in classification involves a fundamental trade-off: smooth losses (like Cross-Entropy) enable fast optimization rates but yield slow square-root consistency bounds, while piecewise-linear losses (like Hinge)…

Machine Learning · Computer Science 2026-05-01 Mehryar Mohri , Yutao Zhong

Adversarial examples are a type of attack on machine learning (ML) systems which cause misclassification of inputs. Achieving robustness against adversarial examples is crucial to apply ML in the real world. While most prior work on…

Cryptography and Security · Computer Science 2020-07-16 Nico Döttling , Kathrin Grosse , Michael Backes , Ian Molloy

It is becoming increasingly important to understand the vulnerability of machine learning models to adversarial attacks. One of the fundamental problems in adversarial machine learning is to quantify how much training data is needed in the…

Machine Learning · Computer Science 2023-08-24 Pascale Gourdeau

Learning models capable of providing reliable predictions in the face of adversarial actions has become a central focus of the machine learning community in recent years. This challenge arises from observing that data encountered at…

Machine Learning · Computer Science 2025-05-05 Marco C. Campi , Algo Carè , Luis G. Crespo , Simone Garatti , Federico A. Ramponi

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

Adversarial training is widely used to make classifiers robust to a specific threat or adversary, such as $\ell_p$-norm bounded perturbations of a given $p$-norm. However, existing methods for training classifiers robust to multiple threats…

Machine Learning · Computer Science 2023-02-21 Francesco Croce , Sylvestre-Alvise Rebuffi , Evan Shelhamer , Sven Gowal

Progress in making neural networks more robust against adversarial attacks is mostly marginal, despite the great efforts of the research community. Moreover, the robustness evaluation is often imprecise, making it difficult to identify…

Machine Learning · Computer Science 2021-05-26 Leo Schwinn , René Raab , An Nguyen , Dario Zanca , Bjoern Eskofier

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

Optimization and Control · Mathematics 2025-05-13 Boyang Shen , Junyi Liu