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A New Upper Bound for Distributed Hypothesis Testing Using the Auxiliary Receiver Approach

2024/09/21 by Zhenduo Wen, Wen, Zhenduo, Amin Gohari +1 · 1 citation
Computer Science · Engineering · #FOS: Computer and information sciences #Fault Detection and Control Systems #Information Theory (cs.IT) #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2409.14148

openalex publication_date 2024/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper employs the add-and-subtract technique of the auxiliary receiver approach to establish a new upper bound for the distributed hypothesis testing problem. This new bound has fewer assumptions than the upper bound proposed by Rahman and Wagner, is at least as tight as the bound by Rahman and Wagner, and can outperform it in certain Gaussian settings. Conceptually speaking, unlike Rahman and Wagner, who view their additional receiver as side information, we view it as an auxiliary receiver and use a different manipulation for single-letterization.

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