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Benefits of rate-sharing for distributed hypothesis testing

Abstract : 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 shared link to both centers and an individual link to each of the two centers. All communication links are subject to expected rate constraints. This paper characterizes the optimal exponents region of the type-II error for given type-I error thresholds at the two decision centers and further simplifies the expressions in the special case of having only the single shared link. The exponents region illustrates a gain under expected rate constraints compared to equivalent maximum rate constraints. Moreover, it exhibits a tradeoff between the exponents achieved at the two centers.
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https://hal.archives-ouvertes.fr/hal-03702134
Contributor : Michèle Wigger Connect in order to contact the contributor
Submitted on : Wednesday, June 22, 2022 - 6:04:20 PM
Last modification on : Wednesday, July 20, 2022 - 10:12:51 AM

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  • HAL Id : hal-03702134, version 1

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Mustapha Hamad, Mireille Sarkiss, Michèle Wigger. Benefits of rate-sharing for distributed hypothesis testing. ISIT 2022: IEEE International Symposium on Information Theory, Jun 2022, Espoo, Finland. pp.1-6. ⟨hal-03702134⟩

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