Reverse entropy power inequalities for s-concave densities. - Peng Xu; James Melbourne; Mokshay M. Madiman (ISIT, 2016)

Forward and Reverse Entropy Power Inequalities in Convex Geometry. - Mokshay M. Madiman; James Melbourne; Peng Xu (CoRR, 2016)

A min-entropy power inequality for groups. - Peng Xu; James Melbourne; Mokshay M. Madiman (ISIT, 2017)

Infinity-Rényi entropy power inequalities. - Peng Xu; James Melbourne; Mokshay M. Madiman (ISIT, 2017)

Rearrangements and information theoretic inequalities. - James Melbourne (Allerton, 2018)

Learning and Estimation of Single Molecule Behavior. - Sivaraman Rajaganapathy; James Melbourne; Tanuj Aggarwal; Rachit Shrivastava; Murti V. Salapaka (ACC, 2018)

Realizing Information Erasure in Finite Time. - James Melbourne; Saurav Talukdar; Murti V. Salapaka (CDC, 2018)

Further Investigations of the Maximum Entropy of the Sum of Two Dependent Random Variables. - Jiange Li; James Melbourne (ISIT, 2018)

A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]. - Arnaud Marsiglietti; James Melbourne (ISIT, 2018)

Error Bounds on a Mixed Entropy Inequality. - James Melbourne; Saurav Talukdar; Shreyas Bhaban; Murti V. Salapaka (ISIT, 2018)

The deficit in an entropic inequality. - James Melbourne; Saurav Talukdar; Shreyas Bhaban; Murti V. Salapaka (CoRR, 2018)

Rearrangement and Prekopa-Leindler type inequalities. - James Melbourne (CoRR, 2018)

An Exact Upper Bound on the Lp Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables. - Peng Xu; Mokshay M. Madiman; James Melbourne (CoRR, 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)

Relationships between certain f -divergences. - James Melbourne; Mokshay Madiman; Murti V. Salapaka (Allerton, 2019)

Entropic Central Limit Theorem for Rényi Entropy. - Jiange Li; Arnaud Marsiglietti; James Melbourne (ISIT, 2019)

Rényi Entropy Power Inequalities for s-concave Densities. - Jiange Li; Arnaud Marsiglietti; James Melbourne (ISIT, 2019)

On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]. - Arnaud Marsiglietti; James Melbourne (IEEE Trans. Inf. Theory, 2019)

On the Rényi Entropy of Log-Concave Sequences. - James Melbourne; Tomasz Tkocz (ISIT, 2020)

Reversals of Rényi Entropy Inequalities under Log-Concavity. - James Melbourne; Tomasz Tkocz (CoRR, 2020)

Entropy and Information Inequalities. - Varun S. Jog; James Melbourne (Entropy, 2020)

Strongly Convex Divergences. - James Melbourne (Entropy, 2020)

Bernoulli sums and Rényi entropy inequalities. - Mokshay Madiman; James Melbourne; Cyril Roberto (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)

A discrete complement of Lyapunov's inequality and its information theoretic consequences. - James Melbourne; Gerardo Palafox-Castillo (CoRR, 2021)

Reversal of Rényi Entropy Inequalities Under Log-Concavity. - James Melbourne; Tomasz Tkocz (IEEE Trans. Inf. Theory, 2021)

Change detection using an iterative algorithm with guarantees. - Sivaraman Rajaganapathy; James Melbourne; Murti V. Salapaka (Autom., 2022)

Moments, Concentration, and Entropy of Log-Concave Distributions. - Arnaud Marsiglietti; James Melbourne (CoRR, 2022)

Concentration functions and entropy bounds for discrete log-concave distributions. - Sergey G. Bobkov; Arnaud Marsiglietti; James Melbourne (Comb. Probab. Comput., 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)

Minimum entropy of a log-concave variable for fixed variance. - James Melbourne; Piotr Nayar; Cyril Roberto (CoRR, 2023)

Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach. - Mishfad Shaikh Veedu; James Melbourne; Murti V. Salapaka (CoRR, 2023)

Geometric and Functional Inequalities for Log-Concave Probability Sequences. - Arnaud Marsiglietti; James Melbourne (Discret. Comput. Geom., 2024)

On a Conjecture of Feige for Discrete Log-Concave Distributions. - Abdulmajeed Alqasem; Heshan Aravinda; Arnaud Marsiglietti; James Melbourne (SIAM J. Discret. Math., 2024)

Convex Decreasing Algorithms: Distributed Synthesis and Finite-Time Termination in Higher Dimension. - James Melbourne; Govind Saraswat; Vivek Khatana; Sourav Patel; Murti V. Salapaka (IEEE Trans. Autom. Control., 2024)

Anti-concentration inequalities for log-concave variables on the real line. - Tulio Gaxiola; James Melbourne; Vincent Pigno; Emma Pollard (CoRR, 2025)