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Related papers: Property Testing with Online Adversaries

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We study property testing with incomplete or noisy inputs. The models we consider allow for adversarial manipulation of the input, but differ in whether the manipulation can be done only offline, i.e., before the execution of the algorithm,…

Data Structures and Algorithms · Computer Science 2024-12-23 Esty Kelman , Ephraim Linder , Sofya Raskhodnikova

Linearity testing has been a focal problem in property testing of functions. We combine different known techniques and observations about linearity testing in order to resolve two recent versions of this task. First, we focus on the online…

Computational Complexity · Computer Science 2024-11-22 Vipul Arora , Esty Kelman , Uri Meir

In the $t$-online-erasure model in property testing, an adversary is allowed to erase $t$ values of a queried function for each query the tester makes. This model was recently formulated by Kalemaj, Raskhodnikova andVarma, who showed that…

Data Structures and Algorithms · Computer Science 2023-08-30 Dor Minzer , Kai Zhe Zheng

A central challenge in property testing is verifying algebraic structure with minimal access to data. A landmark result addressing this challenge, the linearity test of Blum, Luby, and Rubinfeld (JCSS `93), spurred a rich body of work on…

Data Structures and Algorithms · Computer Science 2025-12-01 Esty Kelman , Uri Meir , Debanuj Nayak , Sofya Raskhodnikova

We initiate the study of sublinear-time algorithms that access their input via an online adversarial erasure oracle. After answering each input query, such an oracle can erase $t$ input values. Our goal is to understand the complexity of…

Data Structures and Algorithms · Computer Science 2025-01-03 Iden Kalemaj , Sofya Raskhodnikova , Nithin Varma

Property testers form an important class of sublinear algorithms. In the standard property testing model, an algorithm accesses the input function via an oracle that returns function values at all queried domain points. In many realistic…

Data Structures and Algorithms · Computer Science 2016-07-21 Kashyap Dixit , Sofya Raskhodnikova , Abhradeep Thakurta , Nithin Varma

We initiate a systematic study of the computational complexity of property testing, focusing on the relationship between query and time complexity. While traditional work in property testing has emphasized query complexity, relatively…

Computational Complexity · Computer Science 2026-03-12 Renato Ferreira Pinto , Diptaksho Palit , Sofya Raskhodnikova

Despite significant advances, deep networks remain highly susceptible to adversarial attack. One fundamental challenge is that small input perturbations can often produce large movements in the network's final-layer feature space. In this…

Machine Learning · Computer Science 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang

One of the motivations for property testing of boolean functions is the idea that testing can serve as a preprocessing step before learning. However, in most machine learning applications, it is not possible to request for labels of…

Data Structures and Algorithms · Computer Science 2012-04-18 Maria-Florina Balcan , Eric Blais , Avrim Blum , Liu Yang

Property testing is concerned with the design of algorithms making a sublinear number of queries to distinguish whether the input satisfies a given property or is far from having this property. A seminal paper of Alon, Krivelevich, Newman,…

Data Structures and Algorithms · Computer Science 2025-04-29 Gabriel Bathie , Nathanaël Fijalkow , Corto Mascle

The safety and robustness of learning-based decision-making systems are under threats from adversarial examples, as imperceptible perturbations can mislead neural networks to completely different outputs. In this paper, we present an…

Machine Learning · Computer Science 2019-11-28 Chao Tang , Yifei Fan , Anthony Yezzi

Machine learning models are usually evaluated according to the average case performance on the test set. However, this is not always ideal, because in some sensitive domains (e.g. autonomous driving), it is the worst case performance that…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Michelle Shu , Chenxi Liu , Weichao Qiu , Alan Yuille

We consider the problem of hypothesis testing for discrete distributions. In the standard model, where we have sample access to an underlying distribution $p$, extensive research has established optimal bounds for uniformity testing,…

Machine Learning · Computer Science 2024-12-03 Maryam Aliakbarpour , Piotr Indyk , Ronitt Rubinfeld , Sandeep Silwal

Although hash function learning algorithms have achieved great success in recent years, most existing hash models are off-line, which are not suitable for processing sequential or online data. To address this problem, this work proposes an…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Long-Kai Huang , Qiang Yang , Wei-Shi Zheng

Fix a prime $p$ and a positive integer $R$. We study the property testing of functions $\mathbb F_p^n\to[R]$. We say that a property is testable if there exists an oblivious tester for this property with one-sided error and constant query…

Combinatorics · Mathematics 2022-08-24 Jonathan Tidor , Yufei Zhao

We study the model robustness against adversarial examples, referred to as small perturbed input data that may however fool many state-of-the-art deep learning models. Unlike previous research, we establish a novel theory addressing the…

Machine Learning · Computer Science 2020-06-11 Shufei Zhang , Kaizhu Huang , Zenglin Xu

Property testing algorithms are highly efficient algorithms, that come with probabilistic accuracy guarantees. For a property P, the goal is to distinguish inputs that have P from those that are far from having P with high probability…

Logic in Computer Science · Computer Science 2020-09-17 Isolde Adler , Polly Fahey

Machine learning models are vulnerable to tiny adversarial input perturbations optimized to cause a very large output error. To measure this vulnerability, we need reliable methods that can find such adversarial perturbations. For image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Levente Halmosi , Bálint Mohos , Márk Jelasity

By leveraging the principles of quantum mechanics, QML opens doors to novel approaches in machine learning and offers potential speedup. However, machine learning models are well-documented to be vulnerable to malicious manipulations, and…

Machine Learning · Computer Science 2024-11-12 Bacui Li , Tansu Alpcan , Chandra Thapa , Udaya Parampalli

Machine learning models are vulnerable to simple model stealing attacks if the adversary can obtain output labels for chosen inputs. To protect against these attacks, it has been proposed to limit the information provided to the adversary…

Machine Learning · Computer Science 2018-12-14 Taesung Lee , Benjamin Edwards , Ian Molloy , Dong Su
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