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Mutual Information Bounds for Lossy Common Information

Published 6 Jul 2025 in cs.IT, eess.SP, and math.IT | (2507.04209v1)

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).

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