4 papers
The Capacity Region for Classes of Sum-Broadcast Channels
Amin Gohari, Yi Liu, Chandra Nair
We compute the capacity region of a sum of broadcast channels whose components are degraded, less-noisy, more-capable, deterministic, or semi-deterministic. We achieve this by show…
Ribbons from Independence Structure: Hypercontractivity, -Mutual Information, and Matrix -Entropy
Chenyu Wang, Amin Gohari
We study the hypercontractivity ribbon and the -ribbon for joint distributions that obey a given independence structure, obtaining tight bounds in some basic regimes. For gener…
A Differential Equation Approach to the Most-Informative Boolean Function Conjecture
Zijie Chen, Amin Gohari, Chandra Nair
We study the most-informative Boolean function conjecture using a differential equation approach. This leads to a formulation of a functional inequality on finite-dimensional rando…
On Phi-entropic Dependence Measures and Non-local Correlations
Chenyu Wang, Amin Gohari
We say that a measure of dependence between two random variables and , denoted as , satisfies the data processing property if for every $X'\…