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Machine Learning (ML) models are applied in a variety of tasks such as network intrusion detection or Malware classification. Yet, these models are vulnerable to a class of malicious inputs known as adversarial examples. These are slightly…

Cryptography and Security · Computer Science 2017-10-18 Kathrin Grosse , Praveen Manoharan , Nicolas Papernot , Michael Backes , Patrick McDaniel

We argue that Godel's completeness theorem is equivalent to completability of consistent theories, and Godel's incompleteness theorem is equivalent to the fact that this completion is not constructive, in the sense that there are some…

Logic · Mathematics 2019-07-02 Saeed Salehi

State-of-the-art attacks on NLP models lack a shared definition of a what constitutes a successful attack. We distill ideas from past work into a unified framework: a successful natural language adversarial example is a perturbation that…

Computation and Language · Computer Science 2021-12-23 John X. Morris , Eli Lifland , Jack Lanchantin , Yangfeng Ji , Yanjun Qi

Adversarial examples are malicious inputs crafted to cause a model to misclassify them. Their most common instantiation, "perturbation-based" adversarial examples introduce changes to the input that leave its true label unchanged, yet…

Machine Learning · Computer Science 2019-03-26 Jörn-Henrik Jacobsen , Jens Behrmannn , Nicholas Carlini , Florian Tramèr , Nicolas Papernot

Breakthroughs in machine learning have resulted in state-of-the-art deep neural networks (DNNs) performing classification tasks in safety-critical applications. Recent research has demonstrated that DNNs can be attacked through adversarial…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Ian McDiarmid-Sterling , Allan Moser

This paper discusses limitations of reflexive and diagonal arguments as methods of proof of limitative theorems (e.g. G\"odel's theorem on Entscheidungsproblem, Turing's halting problem or Chaitin-G\"odel's theorem). The fact, that a formal…

Logic in Computer Science · Computer Science 2015-03-19 Kajetan Młynarski

Most previous works usually explained adversarial examples from several specific perspectives, lacking relatively integral comprehension about this problem. In this paper, we present a systematic study on adversarial examples from three…

Machine Learning · Computer Science 2019-03-01 Ke Sun , Zhanxing Zhu , Zhouchen Lin

Adversarial examples are inputs to a machine learning system intentionally crafted by an attacker to fool the model into producing an incorrect output. These examples have achieved a great deal of success in several domains such as image…

Cryptography and Security · Computer Science 2020-04-28 Elie Alhajjar , Paul Maxwell , Nathaniel D. Bastian

Deep neural networks have been shown to be susceptible to adversarial examples -- small, imperceptible changes constructed to cause mis-classification in otherwise highly accurate image classifiers. As a practical alternative, recent work…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Sukrut Rao , David Stutz , Bernt Schiele

The last decade has witnessed the proliferation of Deep Learning models in many applications, achieving unrivaled levels of predictive performance. Unfortunately, the black-box nature of Deep Learning models has posed unanswered questions…

Machine Learning · Computer Science 2020-03-26 Alejandro Barredo-Arrieta , Javier Del Ser

Nowadays, numerous applications incorporate machine learning (ML) algorithms due to their prominent achievements. However, many studies in the field of computer vision have shown that ML can be fooled by intentionally crafted instances,…

Cryptography and Security · Computer Science 2023-03-14 Islam Debicha , Benjamin Cochez , Tayeb Kenaza , Thibault Debatty , Jean-Michel Dricot , Wim Mees

Machine learning systems increasingly make life-changing decisions about individuals, such as loan approvals, hiring, and cheating detection, raising a pressing question: how can individuals respond to negative decisions made by these…

Machine Learning · Statistics 2026-05-18 Timo Freiesleben , Kristof Meding , Gunnar König

In much discussed work Artemov has recently shown that, for $\mathrm{PA}$, the consistency schema admits a form of uniform verification via selector proofs, despite the unprovability of the corresponding uniform consistency sentence…

Logic · Mathematics 2026-05-06 Harald Grobner

It has been empirically observed that defense mechanisms designed to protect neural networks against $\ell_\infty$ adversarial examples offer poor performance against $\ell_2$ adversarial examples and vice versa. In this paper we conduct a…

Machine Learning · Computer Science 2020-12-07 Alexandre Araujo , Laurent Meunier , Rafael Pinot , Benjamin Negrevergne

As neural networks become the tool of choice to solve an increasing variety of problems in our society, adversarial attacks become critical. The possibility of generating data instances deliberately designed to fool a network's analysis can…

Machine Learning · Computer Science 2021-03-19 Gabriel D. Cantareira , Rodrigo F. Mello , Fernando V. Paulovich

The problem of adversarial examples, evasion attacks on machine learning classifiers, has proven extremely difficult to solve. This is true even when, as is the case in many practical settings, the classifier is hosted as a remote service…

Cryptography and Security · Computer Science 2019-07-15 Steven Chen , Nicholas Carlini , David Wagner

We consider the question of learnability of distribution classes in the presence of adaptive adversaries -- that is, adversaries capable of intercepting the samples requested by a learner and applying manipulations with full knowledge of…

Machine Learning · Computer Science 2025-09-08 Tosca Lechner , Alex Bie , Gautam Kamath

Deep neural networks (DNNs) are shown to be vulnerable to adversarial examples. A well-trained model can be easily attacked by adding small perturbations to the original data. One of the hypotheses of the existence of the adversarial…

Machine Learning · Computer Science 2022-10-04 Jiancong Xiao , Liusha Yang , Yanbo Fan , Jue Wang , Zhi-Quan Luo

In recent years, the topic of explainable machine learning (ML) has been extensively researched. Up until now, this research focused on regular ML users use-cases such as debugging a ML model. This paper takes a different posture and show…

Cryptography and Security · Computer Science 2022-06-02 Ishai Rosenberg , Shai Meir , Jonathan Berrebi , Ilay Gordon , Guillaume Sicard , Eli David

It has been a longstanding problem whether every amenable operator algebra is isomorphic to a (necessarily nuclear) C*-algebra. In this note, we give a nonseparable counterexample. The existence of a separable counterexample remains an open…

Operator Algebras · Mathematics 2014-03-17 Yemon Choi , Ilijas Farah , Narutaka Ozawa