2 citations · 4 across the 5 of their papers we have counts for
8 papers · 1 filter
Shannon Bounds for Quadratic Rate-Distortion Problems
Michael Gastpar, Erixhen Sula
The Shannon lower bound has been the subject of several important contributions by Berger. This paper surveys Shannon bounds on rate-distortion problems under mean-squared error di…
Shannon Bounds on Lossy Gray-Wyner Networks
Erixhen Sula, Michael Gastpar
The Gray-Wyner network subject to a fidelity criterion is studied. Upper and lower bounds for the trade-offs between the private sum-rate and the common rate are obtained for arbit…
Lower bound on Wyner's Common Information
Erixhen Sula, Michael Gastpar
An important notion of common information between two random variables is due to Wyner. In this paper, we derive a lower bound on Wyner's common information for continuous random v…
Common Information Components Analysis
Michael Gastpar, Erixhen Sula
We give an information-theoretic interpretation of Canonical Correlation Analysis (CCA) via (relaxed) Wyner's common information. CCA permits to extract from two high-dimensional d…
The Gaussian lossy Gray-Wyner network
Erixhen Sula, Michael Gastpar
We consider the problem of source coding subject to a fidelity criterion for the Gray-Wyner network that connects a single source with two receivers via a common channel and two pr…
On Wyner's Common Information in the Gaussian Case
Erixhen Sula, Michael Gastpar
Wyner's Common Information and a natural relaxation are studied in the special case of Gaussian random variables. The relaxation replaces conditional independence by a bound on the…