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Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication | IEEE Journals & Magazine | IEEE Xplore

Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication


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 b...Show More

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.
Published in: IEEE Transactions on Information Theory ( Volume: 68, Issue: 6, June 2022)
Page(s): 4070 - 4084
Date of Publication: 09 February 2022

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