James Melbourne

According to our database, James Melbourne authored at least 35 papers between 2016 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2024

On a Conjecture of Feige for Discrete Log-Concave Distributions.

Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti, James Melbourne

SIAM J. Discret. Math., March, 2024

Geometric and Functional Inequalities for Log-Concave Probability Sequences.

Arnaud Marsiglietti, James Melbourne

Discret. Comput. Geom., March, 2024

2023

Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach.

Mishfad Shaikh Veedu, James Melbourne, Murti V. Salapaka

CoRR, 2023

Minimum entropy of a log-concave variable for fixed variance.

James Melbourne, Piotr Nayar, Cyril Roberto

CoRR, 2023

2022

The Differential Entropy of Mixtures: New Bounds and Applications.

James Melbourne, Saurav Talukdar, Shreyas Bhaban, Mokshay Madiman, Murti V. Salapaka

IEEE Trans. Inf. Theory, 2022

Concentration functions and entropy bounds for discrete log-concave distributions.

Sergey G. Bobkov, Arnaud Marsiglietti, James Melbourne

Comb. Probab. Comput., 2022

Moments, Concentration, and Entropy of Log-Concave Distributions.

Arnaud Marsiglietti, James Melbourne

CoRR, 2022

Change detection using an iterative algorithm with guarantees.

Sivaraman Rajaganapathy, James Melbourne, Murti V. Salapaka

Autom., 2022

2021

Reversal of Rényi Entropy Inequalities Under Log-Concavity.

James Melbourne, Tomasz Tkocz

IEEE Trans. Inf. Theory, 2021

A discrete complement of Lyapunov's inequality and its information theoretic consequences.

James Melbourne, Gerardo Palafox-Castillo

CoRR, 2021

Quantitative form of Ball's Cube slicing in Rⁿ and equality cases in the min-entropy power inequality.

James Melbourne, Cyril Roberto

CoRR, 2021

Bernoulli sums and Rényi entropy inequalities.

Mokshay Madiman, James Melbourne, Cyril Roberto

CoRR, 2021

2020

Strongly Convex Divergences.

James Melbourne

Entropy, 2020

Entropy and Information Inequalities.

Varun S. Jog, James Melbourne

Entropy, 2020

Convex Decreasing Algorithms: Distributed Synthesis and Finite-time Termination in Higher Dimension.

James Melbourne, Govind Saraswat, Vivek Khatana, Sourav Patel, Murti V. Salapaka

CoRR, 2020

Reversals of Rényi Entropy Inequalities under Log-Concavity.

James Melbourne, Tomasz Tkocz

CoRR, 2020

On the Rényi Entropy of Log-Concave Sequences.

James Melbourne, Tomasz Tkocz

Proceedings of the IEEE International Symposium on Information Theory, 2020

2019

On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1].

Arnaud Marsiglietti, James Melbourne

IEEE Trans. Inf. Theory, 2019

Rényi Entropy Power Inequalities for s-concave Densities.

Jiange Li, Arnaud Marsiglietti, James Melbourne

Proceedings of the IEEE International Symposium on Information Theory, 2019

Entropic Central Limit Theorem for Rényi Entropy.

Jiange Li, Arnaud Marsiglietti, James Melbourne

Proceedings of the IEEE International Symposium on Information Theory, 2019

Relationships between certain f -divergences.

James Melbourne, Mokshay Madiman, Murti V. Salapaka

Proceedings of the 57th Annual Allerton Conference on Communication, 2019

2018

Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach.

Saurav Talukdar, Shreyas Bhaban, James Melbourne, Murti V. Salapaka

Entropy, 2018

An Exact Upper Bound on the L^p Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables.

Peng Xu, Mokshay M. Madiman, James Melbourne

CoRR, 2018

Rearrangement and Prekopa-Leindler type inequalities.

James Melbourne

CoRR, 2018

The deficit in an entropic inequality.

James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka

CoRR, 2018

Error Bounds on a Mixed Entropy Inequality.

James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka

Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1].

Arnaud Marsiglietti, James Melbourne

Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

Further Investigations of the Maximum Entropy of the Sum of Two Dependent Random Variables.

Jiange Li, James Melbourne

Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

Realizing Information Erasure in Finite Time.

James Melbourne, Saurav Talukdar, Murti V. Salapaka

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Learning and Estimation of Single Molecule Behavior.

Sivaraman Rajaganapathy, James Melbourne, Tanuj Aggarwal, Rachit Shrivastava, Murti V. Salapaka

Proceedings of the 2018 Annual American Control Conference, 2018

Rearrangements and information theoretic inequalities.

James Melbourne

Proceedings of the 56th Annual Allerton Conference on Communication, 2018

2017

Infinity-Rényi entropy power inequalities.

Peng Xu, James Melbourne, Mokshay M. Madiman

Proceedings of the 2017 IEEE International Symposium on Information Theory, 2017

A min-entropy power inequality for groups.

Peng Xu, James Melbourne, Mokshay M. Madiman

Proceedings of the 2017 IEEE International Symposium on Information Theory, 2017

2016

Forward and Reverse Entropy Power Inequalities in Convex Geometry.

Mokshay M. Madiman, James Melbourne, Peng Xu

CoRR, 2016

Reverse entropy power inequalities for s-concave densities.

Peng Xu, James Melbourne, Mokshay M. Madiman

Proceedings of the IEEE International Symposium on Information Theory, 2016