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Understanding the fundamental limits of robust supervised learning has emerged as a problem of immense interest, from both practical and theoretical standpoints. In particular, it is critical to determine classifier-agnostic bounds on the…

Machine Learning · Computer Science 2021-06-08 Arjun Nitin Bhagoji , Daniel Cullina , Vikash Sehwag , Prateek Mittal

While progress has been made in understanding the robustness of machine learning classifiers to test-time adversaries (evasion attacks), fundamental questions remain unresolved. In this paper, we use optimal transport to characterize the…

Machine Learning · Computer Science 2019-11-01 Arjun Nitin Bhagoji , Daniel Cullina , Prateek Mittal

We theoretically analyse the limits of robustness to test-time adversarial and noisy examples in classification. Our work focuses on deriving bounds which uniformly apply to all classifiers (i.e all measurable functions from features to…

Machine Learning · Statistics 2020-11-13 Elvis Dohmatob

We consider adversarially robust classification in a multiclass setting under arbitrary loss functions and derive dual and barycentric reformulations of the corresponding learner-agnostic robust risk minimization problem. We provide…

Machine Learning · Computer Science 2025-10-03 Camilo Andrés García Trillos , Nicolás García Trillos

We consider the problem of finding optimal classifiers in an adversarial setting where the class-1 data is generated by an attacker whose objective is not known to the defender -- an aspect that is key to realistic applications but has so…

Computer Science and Game Theory · Computer Science 2021-10-26 Patrick Loiseau , Benjamin Roussillon

We consider the theoretical problem of designing an optimal adversarial attack on a decision system that maximally degrades the achievable performance of the system as measured by the mutual information between the degraded signal and the…

Machine Learning · Computer Science 2020-07-29 Jirong Yi , Raghu Mudumbai , Weiyu Xu

Evasion attack in multi-label learning systems is an interesting, widely witnessed, yet rarely explored research topic. Characterizing the crucial factors determining the attackability of the multi-label adversarial threat is the key to…

Machine Learning · Computer Science 2020-12-22 Zhuo Yang , Yufei Han , Xiangliang Zhang

Recently, researchers have discovered that the state-of-the-art object classifiers can be fooled easily by small perturbations in the input unnoticeable to human eyes. It is also known that an attacker can generate strong adversarial…

Machine Learning · Computer Science 2018-06-28 Jihun Hamm , Akshay Mehra

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at…

Machine Learning · Computer Science 2018-06-07 Liang Tong , Sixie Yu , Scott Alfeld , Yevgeniy Vorobeychik

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…

Machine Learning · Computer Science 2020-10-30 Fariborz Salehi , Babak Hassibi

Modern machine learning algorithms perform poorly on adversarially manipulated data. Adversarial risk quantifies the error of classifiers in adversarial settings; adversarial classifiers minimize adversarial risk. In this paper, we analyze…

Machine Learning · Computer Science 2020-12-24 Muni Sreenivas Pydi , Varun Jog

An adversarial attack paradigm explores various scenarios for the vulnerability of deep learning models: minor changes of the input can force a model failure. Most of the state of the art frameworks focus on adversarial attacks for images…

Machine Learning · Computer Science 2020-06-22 I. Fursov , A. Zaytsev , N. Kluchnikov , A. Kravchenko , E. Burnaev

Attack detection is usually approached as a classification problem. However, standard classification tools often perform poorly because an adaptive attacker can shape his attacks in response to the algorithm. This has led to the recent…

Computer Science and Game Theory · Computer Science 2017-06-26 Lemonia Dritsoula , Patrick Loiseau , John Musacchio

Robustness is critical for machine learning (ML) classifiers to ensure consistent performance in real-world applications where models may encounter corrupted or adversarial inputs. In particular, assessing the robustness of classifiers to…

Machine Learning · Computer Science 2024-09-06 Georg Siedel , Ekagra Gupta , Andrey Morozov

Making classifiers robust to adversarial examples is hard. Thus, many defenses tackle the seemingly easier task of detecting perturbed inputs. We show a barrier towards this goal. We prove a general hardness reduction between detection and…

Machine Learning · Computer Science 2022-06-17 Florian Tramèr

Supervised classification techniques use training samples to learn a classification rule with small expected 0-1 loss (error probability). Conventional methods enable tractable learning and provide out-of-sample generalization by using…

Machine Learning · Statistics 2023-08-21 Santiago Mazuelas , Mauricio Romero , Peter Grünwald

In this paper, we employ a game-theoretic model to analyze the interaction between an adversary and a classifier. There are two classes (i.e., positive and negative classes) to which data points can belong. The adversary is interested in…

Cryptography and Security · Computer Science 2019-06-25 Farhad Farokhi

We initiate the study of fair classifiers that are robust to perturbations in the training distribution. Despite recent progress, the literature on fairness has largely ignored the design of fair and robust classifiers. In this work, we…

Machine Learning · Computer Science 2020-11-05 Debmalya Mandal , Samuel Deng , Suman Jana , Jeannette M. Wing , Daniel Hsu

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

Machine Learning · Computer Science 2019-06-10 Juan C. Perdomo , Yaron Singer

We present a minimax optimal learner for the problem of learning predictors robust to adversarial examples at test-time. Interestingly, we find that this requires new algorithmic ideas and approaches to adversarially robust learning. In…

Machine Learning · Computer Science 2022-09-16 Omar Montasser , Steve Hanneke , Nathan Srebro
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