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Optimal Distributed Composite Testing in High-dimensional Gaussian Models with 1-bit Communication

Journal Article (2022)
Author(s)

Botond Szabó (Università Bocconi)

L. Vuursteen (TU Delft - Statistics)

Harry Van Zanten (Vrije Universiteit Amsterdam)

Research Group
Statistics
Copyright
© 2022 Botond Szabo, L. Vuursteen, Harry Van Zanten
DOI related publication
https://doi.org/10.1109/TIT.2022.3150599
More Info
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Publication Year
2022
Language
English
Copyright
© 2022 Botond Szabo, L. Vuursteen, Harry Van Zanten
Research Group
Statistics
Bibliographical Note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.@en
Issue number
6
Volume number
68
Pages (from-to)
4070-4084
Reuse Rights

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Abstract

In this paper we study the problem of signal detection in Gaussian noise in a distributed setting where the local machines in the star topology can communicate a single bit of information. We derive a lower bound on the Euclidian norm that the signal needs to have in order to be detectable. Moreover, we exhibit optimal distributed testing strategies that attain the lower bound.

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