ConferenceAdvances in Neural Information Processing Systems · January 1, 2024
We study distributed goodness-of-fit testing for discrete distribution under bandwidth and differential privacy constraints. Information constraint distributed goodness-of-fit testing is a problem that has received considerable attention recently. The impo ...
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Journal ArticleAnnals of Statistics · June 1, 2023
We derive minimax testing errors in a distributed framework where the data is split over multiple machines and their communication to a central machine is limited to b bits. We investigate both the d- and infinite-dimensional signal detection problem under ...
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ConferenceAdvances in Neural Information Processing Systems · January 1, 2023
Combining test statistics from independent trials or experiments is a popular method of meta-analysis. However, there is very limited theoretical understanding of the power of the combined test, especially in high-dimensional models considering composite h ...
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Journal ArticleIEEE Transactions on Information Theory · June 1, 2022
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 ...
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