6 citations · 12 across the 9 of their papers we have counts for
8 papers · 1 filter
Dual Loomis-Whitney inequalities via information theory
Jing Hao, Varun Jog
We establish lower bounds on the volume and the surface area of a geometric body using the size of its slices along different directions. In the first part of the paper, we derive…
Teaching and learning in uncertainty
Varun Jog, Po-Ling Loh
We investigate a simple model for social learning with two agents: a teacher and a student. The teacher's goal is to teach the student the state of the world; however, the teacher…
Convexity of mutual information along the Ornstein-Uhlenbeck flow
Andre Wibisono, Varun Jog
We study the convexity of mutual information as a function of time along the flow of the Ornstein-Uhlenbeck process. We prove that if the initial distribution is strongly log-conca…
An entropy inequality for symmetric random variables
Jing Hao, Varun Jog
We establish a lower bound on the entropy of weighted sums of (possibly dependent) random variables possessing a symmetric joint distribution. Our lower bo…
Information and estimation in Fokker-Planck channels
Andre Wibisono, Varun Jog, Po-Ling Loh
We study the relationship between information- and estimation-theoretic quantities in time-evolving systems. We focus on the Fokker-Planck channel defined by a general stochastic d…
Intrinsic entropies of log-concave distributions
Varun Jog, Venkat Anantharam
The entropy of a random variable is well-known to equal the exponential growth rate of the volumes of its typical sets. In this paper, we show that for any log-concave random varia…