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This paper identifies the Stein-exponent of distributed detection when the sensor communicates to the decision center over a discrete memoryless channel (DMC) subject to one of three stringent communication constraints: 1) The number of…

Information Theory · Computer Science 2026-01-14 Abdelaziz Bounhar , Mireille Sarkiss , Michèle Wigger

We characterize the Stein-exponent of a distributed hypothesis testing scenario where two sensors transmit information through a memoryless multiple access channel (MAC) subject to a sublinear input cost constraint with respect to the…

Information Theory · Computer Science 2025-11-04 Cécile Bouette , Michèle Wigger

The problem of distributed testing against independence with variable-length coding is considered when the \emph{average} and not the \emph{maximum} communication load is constrained as in previous works. The paper characterizes the optimum…

Information Theory · Computer Science 2020-05-19 Sadaf Salehkalaibar , Michele Wigger

A distributed binary hypothesis testing (HT) problem involving two parties, one referred to as the observer and the other as the detector is studied. The observer observes a discrete memoryless source (DMS) and communicates its observations…

Information Theory · Computer Science 2019-12-04 Sreejith Sreekumar , Deniz Gündüz

Coding and testing schemes for binary hypothesis testing over noisy networks are proposed and their corresponding type-II error exponents are derived. When communication is over a discrete memoryless channel (DMC), our scheme combines…

Information Theory · Computer Science 2018-06-15 Sadaf Salehkalaibar , Michele Wigger

The trade-offs between error probabilities in quantum hypothesis testing are by now well-understood in the centralized setting, but much less is known for distributed settings. Here, we study a distributed binary hypothesis testing problem…

Quantum Physics · Physics 2026-04-29 Sreejith Sreekumar , Christoph Hirche , Hao-Chung Cheng , Mario Berta

A detection system with a single sensor and $\mathsf{K}$ detectors is considered, where each of the terminals observes a memoryless source sequence and the sensor sends a common message to all the detectors. The communication of this…

Information Theory · Computer Science 2018-05-17 Pierre Escamilla , Michèle Wigger , Abdellatif Zaidi

In distributed hypothesis testing, a central server performs hypothesis testing based on information received from distributed sensors/clients. We study a secure variant of this problem in which the central server determines the hypothesis…

Information Theory · Computer Science 2026-05-29 Gowtham R. Kurri , Varun Narayanan , Vinod M. Prabhakaran , K. R. Sahasranand

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

We study the Chernoff-Stein exponent of the following binary hypothesis testing problem: Associated with each hypothesis is a set of channels. A transmitter, without knowledge of the hypothesis, chooses the vector of inputs to the channel.…

Information Theory · Computer Science 2025-06-19 Eeshan Modak , Neha Sangwan , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

We derive minimax testing errors in a distributed framework where the data is split over multiple machines and their communication to a central machine is limited to $b$ bits. We investigate both the $d$- and infinite-dimensional signal…

Statistics Theory · Mathematics 2022-12-13 Botond Szabó , Lasse Vuursteen , Harry van Zanten

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

Information Theory · Computer Science 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

A two-terminal distributed binary hypothesis testing problem over a noisy channel is studied. The two terminals, called the observer and the decision maker, each has access to $n$ independent and identically distributed samples, denoted by…

Other Statistics · Statistics 2023-02-07 Sreejith Sreekumar , Deniz Gündüz

A distributed binary hypothesis testing problem is studied with one observer and two decision centers. Achievable type-II error exponents are derived for testing against conditional independence when the observer communicates with the two…

Information Theory · Computer Science 2020-01-24 Sadaf Salehkalaibar , Michele Wigger , Roy Timo

A distributed binary hypothesis testing (HT) problem involving two parties, a remote observer and a detector, is studied. The remote observer has access to a discrete memoryless source, and communicates its observations to the detector via…

Information Theory · Computer Science 2020-04-30 Sreejith Sreekumar , Asaf Cohen , Deniz Gündüz

We study distributed binary hypothesis testing with a single sensor and two remote decision centers that are also equipped with local sensors. The communication between the sensor and the two decision centers takes place over three links: a…

Information Theory · Computer Science 2022-02-07 Mustapha Hamad , Mireille Sarkiss , Michèle Wigger

A single-sensor two-detectors system is considered where the sensor communicates with both detectors and Detector 1 communicates with Detector 2, all over noise-free rate-limited links. The sensor and both detectors observe discrete…

Information Theory · Computer Science 2019-07-19 Pierre Escamilla , Michèle Wigger , Abdellatif Zaidi

We study a distributed hypothesis testing setup where peripheral nodes send quantized data to the fusion center in a memoryless fashion. The \emph{expected} number of bits sent by each node under the null hypothesis is kept limited. We…

Information Theory · Computer Science 2022-06-27 Yunus Inan , Mert Kayaalp , Ali H. Sayed , Emre Telatar

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

Applications · Statistics 2018-04-17 Shang Li , Xiaodong Wang

A detection system with a single sensor and two detectors is considered, where each of the terminals observes a memoryless source sequence, the sensor sends a message to both detectors and the first detector sends a message to the second…

Information Theory · Computer Science 2018-10-09 Pierre Escamilla , Abdellatif Zaidi , Michèle Wigger
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