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Improved Random-Binning Exponent for Distributed Hypothesis Testing

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arxiv 2306.14499 v2 pith:P777KCJN submitted 2023-06-26 cs.IT math.IT

classification cs.ITmath.IT
keywords exponentdecisiondistributedhypothesisreceiverschemetestingachievable
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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 exponent was derived by Shimokawa, Han, and Amari using a "quantization and binning" scheme. We propose a simple modification on the receiver's decision rule in this scheme to attain a better exponent.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing

    cs.IT 2025-06 reject novelty 4.0 of 10

    Short-length quantization and quantize-binning schemes for binary distributed hypothesis testing are proposed, but the exact error formulas contain a combinatorial error that invalidates the theoretical analysis.

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