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

Botond Szabo, Lasse Vuursteen, Harry Van Zanten

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number9709332
Pages (from-to)4070-4084
Number of pages15
JournalIEEE Transactions on Information Theory
Volume68
Issue number6
DOIs
Publication statusPublished - 2022

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.

Keywords

  • distributed algorithms
  • Gaussian noise
  • hypothesis testing
  • minimax lower bounds
  • Testing

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