Multi-User Privacy: The Gray-Wyner System and Generalized Common Information

Abstract

The problem of preserving privacy when a multivariate source is required to be revealed partially to multiple users is modeled as a Gray-Wyner source coding problem with K correlated sources at the encoder and K decoders in which the kth decoder, k = 1, 2, ...,K, losslessly reconstructs the kth source via a common link and a private link. The privacy requirement of keeping each decoder oblivious of all sources other than the one intended for it is introduced via an equivocation constraint at each decoder such that the total equivocation summed over all decoders is E. The set of achievable rates-equivocation tuples is completely characterized. Using this characterization, two different definitions of common information are presented and are shown to be equivalent.

accepted for publication and presentation at ISIT 2011

References in corpus (1)

• The Common Information of N Dependent Random Variables

Cited by in corpus (4)

• Wyner's Common Information: Generalizations and A New Lossy Source Coding Interpretation
• Subset Typicality Lemmas and Improved Achievable Regions in Multiterminal Source Coding
• Discriminatory Lossy Source Coding: Side Information Privacy
• Some new insights into information decomposition in complex systems based on common information