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Related papers: Sequential Adversarial Hypothesis Testing

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We introduce sequential analysis in quantum information processing, by focusing on the fundamental task of quantum hypothesis testing. In particular our goal is to discriminate between two arbitrary quantum states with a prescribed error…

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

Statistics Theory · Mathematics 2010-10-18 Andrey Novikov

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

Artificial Intelligence · Computer Science 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

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

Deep neural networks are at the forefront of machine learning research. However, despite achieving impressive performance on complex tasks, they can be very sensitive: Small perturbations of inputs can be sufficient to induce incorrect…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Alex Serban , Erik Poll , Joost Visser

We introduce a two-player contest for evaluating the safety and robustness of machine learning systems, with a large prize pool. Unlike most prior work in ML robustness, which studies norm-constrained adversaries, we shift our focus to…

Machine Learning · Statistics 2018-09-25 Tom B. Brown , Nicholas Carlini , Chiyuan Zhang , Catherine Olsson , Paul Christiano , Ian Goodfellow

Deep neural networks are known to be vulnerable to small adversarial perturbations in test data. To defend against adversarial attacks, probabilistic classifiers have been proposed as an alternative to deterministic ones. However,…

Machine Learning · Computer Science 2023-11-29 Lucas Gnecco-Heredia , Yann Chevaleyre , Benjamin Negrevergne , Laurent Meunier , Muni Sreenivas Pydi

In this paper, we consider sequential testing over a single-sensor, a single-decision center setup. At each time instant $t$, the sensor gets $k$ samples $(k>0)$ and describes the observed sequence until time $t$ to the decision center over…

Information Theory · Computer Science 2021-09-20 Sadaf Salehkalaibar , Vincent Y. F. Tan

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

Whilst adversarial attack detection has received considerable attention, it remains a fundamentally challenging problem from two perspectives. First, while threat models can be well-defined, attacker strategies may still vary widely within…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Nathan Drenkow , Neil Fendley , Philippe Burlina

Recently, the binary expansion testing framework was introduced to test the independence of two continuous random variables by utilizing symmetry statistics that are complete sufficient statistics for dependence. We develop a new test based…

Statistics Theory · Mathematics 2021-01-11 Duyeol Lee , Kai Zhang , Michael R. Kosorok

Consider the problem of distributed binary hypothesis testing with two terminals, where the decision is made at one of them (the "receiver"). We study the exponent of the error probability of the second type. Previously, an achievable…

Information Theory · Computer Science 2025-08-26 Yuval Kochman , Ligong Wang

We initiate the study of tolerant adversarial PAC-learning with respect to metric perturbation sets. In adversarial PAC-learning, an adversary is allowed to replace a test point $x$ with an arbitrary point in a closed ball of radius $r$…

Machine Learning · Statistics 2023-02-16 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

Universal outlier hypothesis testing is studied in a sequential setting. Multiple observation sequences are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are…

Statistics Theory · Mathematics 2014-11-27 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

We study a binary hypothesis testing problem in which a defender must decide whether or not a test sequence has been drawn from a given memoryless source $P_0$ whereas, an attacker strives to impede the correct detection. With respect to…

Computer Science and Game Theory · Computer Science 2019-01-30 Benedetta Tondi , Neri Merhav , Mauro Barni

While sequential recommender systems achieve significant improvements on capturing user dynamics, we argue that sequential recommenders are vulnerable against substitution-based profile pollution attacks. To demonstrate our hypothesis, we…

Information Retrieval · Computer Science 2022-07-25 Zhenrui Yue , Huimin Zeng , Ziyi Kou , Lanyu Shang , Dong Wang

The problem is sequence prediction in the following setting. A sequence $x_1,...,x_n,...$ of discrete-valued observations is generated according to some unknown probabilistic law (measure) $\mu$. After observing each outcome, it is required…

Machine Learning · Computer Science 2012-03-13 Daniil Ryabko

Adversarial attacks insert small, imperceptible perturbations to input samples that cause large, undesired changes to the output of deep learning models. Despite extensive research on generating adversarial attacks and building defense…

Machine Learning · Computer Science 2023-06-27 Vyas Raina , Mark Gales

This paper studies binary hypothesis testing based on measurements from a set of sensors, a subset of which can be compromised by an attacker. The measurements from a compromised sensor can be manipulated arbitrarily by the adversary. The…

Information Theory · Computer Science 2018-01-22 Xiaoqiang Ren , Jiaqi Yan , Yilin Mo