3 papers
cs.DS2026
A Proof of the Most Informative Boolean Function Conjecture
Zijie Chen, Amin Gohari, Adel Javanmard +4
Let be uniform on , let be obtained by passing its coordinates independently through a binary symmetric channel with crossover probability , and let $g:\{-1,…
cs.IT2026
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…
cs.IT2025
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…