Mutual Information Bounds for Lossy Common Information
arXiv:2507.04209
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 Gács-Körner lossy common information. The results are a generalization of the lossless case presented by Wyner (1975).
We have expanded and improved this proof in other work