Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication
Publication
, Journal Article
Szabo, B; Vuursteen, L; Van Zanten, H
Published in: IEEE 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 to have in order to be detectable. Moreover, we exhibit optimal distributed testing strategies that attain the lower bound.
Duke Scholars
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
June 1, 2022
Volume
68
Issue
6
Start / End Page
4070 / 4084
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
Citation
APA
Chicago
ICMJE
MLA
NLM
Szabo, B., Vuursteen, L., & Van Zanten, H. (2022). Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication. IEEE Transactions on Information Theory, 68(6), 4070–4084. https://doi.org/10.1109/TIT.2022.3150599
Szabo, B., L. Vuursteen, and H. Van Zanten. “Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication.” IEEE Transactions on Information Theory 68, no. 6 (June 1, 2022): 4070–84. https://doi.org/10.1109/TIT.2022.3150599.
Szabo B, Vuursteen L, Van Zanten H. Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication. IEEE Transactions on Information Theory. 2022 Jun 1;68(6):4070–84.
Szabo, B., et al. “Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication.” IEEE Transactions on Information Theory, vol. 68, no. 6, June 2022, pp. 4070–84. Scopus, doi:10.1109/TIT.2022.3150599.
Szabo B, Vuursteen L, Van Zanten H. Optimal Distributed Composite Testing in High-Dimensional Gaussian Models With 1-Bit Communication. IEEE Transactions on Information Theory. 2022 Jun 1;68(6):4070–4084.
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
June 1, 2022
Volume
68
Issue
6
Start / End Page
4070 / 4084
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing