NDLI: Binary Hypothesis Testing Game With Training Data

Content Provider	IEEE Xplore Digital Library
Author	Barni, M. Tondi, B.
Copyright Year	1963
Abstract	We introduce a game-theoretic framework to study the hypothesis testing problem in the presence of an adversary aiming to prevent a correct decision. Specifically, this paper considers a scenario in which an analyst has to accept or reject the null hypothesis H₀ characterized by a probability mass function (pmf) P_X based on the evidence provided by a test sequence. In turn, the goal of the adversary is to take a sequence generated according to a different pmf and modify it in such a way to induce a decision error. P_X is known only through one or more training sequences. We derive the asymptotic equilibrium of the game under the assumption that the analyst relies only on first order statistics of the test and training sequences, and compute the asymptotic payoff of the game when the length of the sequences tends to infinity. We introduce the concept of indistinguishability region, defined as the set of pmfs that can not be distinguished reliably from P_X in the presence of attacks. Two different scenarios are considered: in the first one the analyst and the adversary share the same training sequence, in the second scenario, they rely on independent sequences. The obtained results are compared with a version of the game in which the pmf P_X is perfectly known to both the analyst and the adversary.
Sponsorship	IEEE Information Theory Society
Starting Page	4848
Ending Page	4866
Page Count	19
File Size	611590
File Format	PDF
ISSN	00189448
Volume Number	60
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Games Testing Forensics Training Nash equilibrium Multimedia communication counter-forensics Hypothesis testing adversarial signal processing cybersecurity game theory source identification multimedia forensics
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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