Optimal distributed composite testing in high-dimensional Gaussian models with 1-bit communication

Botond Szabo; Lasse Vuursteen; Harry van Zanten

doi:10.1109/tit.2022.3150599

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arXiv · 2012.04957

Optimal distributed composite testing in high-dimensional Gaussian models with 1-bit communication

Botond Szabo·Lasse Vuursteen·Harry van Zanten

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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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Botond Szabo, Lasse Vuursteen, Harry van Zanten. 2020-12-09. Optimal distributed composite testing in high-dimensional Gaussian models with 1-bit communication. https://doi.org/10.1109/tit.2022.3150599

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