James Melbourne

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 39

Top Topics

Maximum Entropy

Linear Dynamical Systems

Kullback Leibler

Gaussian Mixture

Top Venues

IEEE Trans. Inf. Theory

Publications

Arnaud Marsiglietti, James Melbourne
Geometric and Functional Inequalities for Log-Concave Probability Sequences. Discret. Comput. Geom. 71 (2) (2024)
James Melbourne, Govind Saraswat, Vivek Khatana, Sourav Patel, Murti V. Salapaka
Convex Decreasing Algorithms: Distributed Synthesis and Finite-Time Termination in Higher Dimension. IEEE Trans. Autom. Control. 69 (6) (2024)
Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti, James Melbourne
On a Conjecture of Feige for Discrete Log-Concave Distributions. SIAM J. Discret. Math. 38 (1) (2024)
James Melbourne, Piotr Nayar, Cyril Roberto
Minimum entropy of a log-concave variable for fixed variance. CoRR (2023)
Mishfad Shaikh Veedu, James Melbourne, Murti V. Salapaka
Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach. CoRR (2023)
James Melbourne, Saurav Talukdar, Shreyas Bhaban, Mokshay Madiman, Murti V. Salapaka
The Differential Entropy of Mixtures: New Bounds and Applications. IEEE Trans. Inf. Theory 68 (4) (2022)
Sivaraman Rajaganapathy, James Melbourne, Murti V. Salapaka
Change detection using an iterative algorithm with guarantees. Autom. 136 (2022)
Sergey G. Bobkov, Arnaud Marsiglietti, James Melbourne
Concentration functions and entropy bounds for discrete log-concave distributions. Comb. Probab. Comput. 31 (1) (2022)
Arnaud Marsiglietti, James Melbourne
Moments, Concentration, and Entropy of Log-Concave Distributions. CoRR (2022)
James Melbourne, Gerardo Palafox-Castillo
A discrete complement of Lyapunov's inequality and its information theoretic consequences. CoRR (2021)
James Melbourne, Tomasz Tkocz
Reversal of Rényi Entropy Inequalities Under Log-Concavity. IEEE Trans. Inf. Theory 67 (1) (2021)
James Melbourne, Cyril Roberto
and equality cases in the min-entropy power inequality. CoRR (2021)
Mokshay Madiman, James Melbourne, Cyril Roberto
Bernoulli sums and Rényi entropy inequalities. CoRR (2021)
James Melbourne
Strongly Convex Divergences. CoRR (2020)
James Melbourne, Tomasz Tkocz
On the Rényi Entropy of Log-Concave Sequences. ISIT (2020)
James Melbourne, Tomasz Tkocz
Reversals of Rényi Entropy Inequalities under Log-Concavity. CoRR (2020)
Varun S. Jog, James Melbourne
Entropy and Information Inequalities. Entropy 22 (3) (2020)
James Melbourne
Strongly Convex Divergences. Entropy 22 (11) (2020)
James Melbourne, Govind Saraswat, Vivek Khatana, Sourav Patel, Murti V. Salapaka
Convex Decreasing Algorithms: Distributed Synthesis and Finite-time Termination in Higher Dimension. CoRR (2020)
Arnaud Marsiglietti, James Melbourne
On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]. IEEE Trans. Inf. Theory 65 (3) (2019)
Jiange Li, Arnaud Marsiglietti, James Melbourne
Rényi Entropy Power Inequalities for s-concave Densities. ISIT (2019)
James Melbourne, Mokshay Madiman, Murti V. Salapaka
Relationships between certain f -divergences. Allerton (2019)
Jiange Li, Arnaud Marsiglietti, James Melbourne
Entropic Central Limit Theorem for Rényi Entropy. ISIT (2019)
Peng Xu, Mokshay M. Madiman, James Melbourne
Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables. CoRR (2018)
James Melbourne
Rearrangements and information theoretic inequalities. Allerton (2018)
James Melbourne, Saurav Talukdar, Murti V. Salapaka
Realizing Information Erasure in Finite Time. CDC (2018)
James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka
Error Bounds on a Mixed Entropy Inequality. ISIT (2018)
Sivaraman Rajaganapathy, James Melbourne, Tanuj Aggarwal, Rachit Shrivastava, Murti V. Salapaka
Learning and Estimation of Single Molecule Behavior. ACC (2018)
Jiange Li, James Melbourne
Further Investigations of the Maximum Entropy of the Sum of Two Dependent Random Variables. ISIT (2018)
James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka
The deficit in an entropic inequality. CoRR (2018)
James Melbourne
Rearrangement and Prekopa-Leindler type inequalities. CoRR (2018)
James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka
Error Bounds on a Mixed Entropy Inequality. CoRR (2018)
Arnaud Marsiglietti, James Melbourne
A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]. ISIT (2018)
Saurav Talukdar, Shreyas Bhaban, James Melbourne, Murti V. Salapaka
Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach. Entropy 20 (10) (2018)
Peng Xu, James Melbourne, Mokshay M. Madiman
A min-entropy power inequality for groups. ISIT (2017)
Arnaud Marsiglietti, James Melbourne
On the entropy power inequality for the Rényi entropy of order [0, 1]. CoRR (2017)
Peng Xu, James Melbourne, Mokshay M. Madiman
Infinity-Rényi entropy power inequalities. ISIT (2017)
Peng Xu, James Melbourne, Mokshay M. Madiman
Reverse entropy power inequalities for s-concave densities. ISIT (2016)
Mokshay M. Madiman, James Melbourne, Peng Xu
Forward and Reverse Entropy Power Inequalities in Convex Geometry. CoRR (2016)