Back to Search
Start Over
The Gray-Wyner Network and Wyner’s Common Information for Gaussian Sources.
- Source :
- IEEE Transactions on Information Theory; Feb2022, Vol. 68 Issue 2, p1369-1384, 16p
- Publication Year :
- 2022
-
Abstract
- This paper presents explicit solutions for two related non-convex information extremization problems due to Gray and Wyner in the Gaussian case. The first problem is the Gray-Wyner network subject to a sum-rate constraint on the two private links. Here, our argument establishes the optimality of Gaussian codebooks and hence, a closed-form formula for the optimal rate region. The second problem is Wyner’s common information and a generalization thereof, where conditional independence is generalized to a limit on the conditional mutual information. We present full explicit solutions for the scalar as well as the vector case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 154861841
- Full Text :
- https://doi.org/10.1109/TIT.2021.3128187