73 citations · 160 across the 24 of their papers we have counts for
6 papers · 1 filter
Realizing Information Erasure in Finite Time
James Melbourne, Saurav Talukdar, Murti Salapaka
In this article, we focus on erasure of a bit of information in finite time. Landauer's principle states that the average heat dissipation due to erasure of information is k_B T ln…
An Exact Upper Bound on the Lebesgue Constant and The -Rényi Entropy Power Inequality for Integer Valued Random Variables
Peng Xu, Mokshay Madiman, James Melbourne
In this paper, we proved an exact asymptotically sharp upper bound of the Lebesgue Constant (i.e. the norm of Dirichlet kernel) for . As an application, we also…
Rearrangement and Prekopa-Leindler type inequalities
James Melbourne
We investigate the interactions of functional rearrangements with Prekopa-Leindler type inequalities. It is shown that that a general class of integral inequalities tighten on rear…
Error Bounds on a Mixed Entropy Inequality
James Melbourne, Saurav Talukdar, Shreyas Bhaban +1
Motivated by the entropy computations relevant to the evaluation of decrease in entropy in bit reset operations, the authors investigate the deficit in an entropic inequality invol…
The Differential Entropy of Mixtures: New Bounds and Applications
James Melbourne, Saurav Talukdar, Shreyas Bhaban +2
Mixture distributions are extensively used as a modeling tool in diverse areas from machine learning to communications engineering to physics, and obtaining bounds on the entropy o…
Designing Memory Bits with Dissipation lower than the Landauer's Bound
Saurav Talukdar, Shreyas Bhaban, James Melbourne +1
A Brownian particle in a symmetric double well potential is used as a representation for a single bit memory, where, the location of the particle in either well denotes one of the…