Mutual Information Bounds for Lossy Common Information
Information Theory
2025-12-04 v4 Signal Processing
math.IT
Abstract
We show the mutual information between the targets in a Gray-Wyner Network as a bound that separates Wyner's lossy common information and G\'acs-K\"orner lossy common information. The results are a generalization of the lossless case presented by Wyner (1975).
Cite
@article{arxiv.2507.04209,
title = {Mutual Information Bounds for Lossy Common Information},
author = {Anderson de Andrade},
journal= {arXiv preprint arXiv:2507.04209},
year = {2025}
}
Comments
We have expanded and improved this proof in other work