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2020 – today
- 2024
[j11]Arnaud Marsiglietti
, James Melbourne:
Geometric and Functional Inequalities for Log-Concave Probability Sequences. Discret. Comput. Geom. 71(2): 556-586 (2024)- [j10]Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti, James Melbourne:
On a Conjecture of Feige for Discrete Log-Concave Distributions. SIAM J. Discret. Math. 38(1): 93-102 (2024) - [j9]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): 3960-3967 (2024) - 2023
- [i15]James Melbourne, Piotr Nayar, Cyril Roberto:
Minimum entropy of a log-concave variable for fixed variance. CoRR abs/2309.01840 (2023) - [i14]Mishfad Shaikh Veedu, James Melbourne, Murti V. Salapaka:
Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach. CoRR abs/2309.02571 (2023) - 2022
- [j8]Sivaraman Rajaganapathy, James Melbourne, Murti V. Salapaka:
Change detection using an iterative algorithm with guarantees. Autom. 136: 110075 (2022) - [j7]Sergey G. Bobkov, Arnaud Marsiglietti, James Melbourne:
Concentration functions and entropy bounds for discrete log-concave distributions. Comb. Probab. Comput. 31(1): 54-72 (2022) - [j6]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): 2123-2146 (2022) - [i13]Arnaud Marsiglietti, James Melbourne:
Moments, Concentration, and Entropy of Log-Concave Distributions. CoRR abs/2205.08293 (2022) - 2021
- [j5]James Melbourne, Tomasz Tkocz:
Reversal of Rényi Entropy Inequalities Under Log-Concavity. IEEE Trans. Inf. Theory 67(1): 45-51 (2021) - [i12]Mokshay Madiman, James Melbourne, Cyril Roberto:
Bernoulli sums and Rényi entropy inequalities. CoRR abs/2103.00896 (2021) - [i11]James Melbourne, Cyril Roberto:
Quantitative form of Ball's Cube slicing in Rn and equality cases in the min-entropy power inequality. CoRR abs/2109.03946 (2021) - [i10]James Melbourne, Gerardo Palafox-Castillo:
A discrete complement of Lyapunov's inequality and its information theoretic consequences. CoRR abs/2111.06997 (2021) - 2020
- [j4]Varun S. Jog, James Melbourne:
Entropy and Information Inequalities. Entropy 22(3): 320 (2020) - [j3]James Melbourne:
Strongly Convex Divergences. Entropy 22(11): 1327 (2020) - [c13]James Melbourne, Tomasz Tkocz:
On the Rényi Entropy of Log-Concave Sequences. ISIT 2020: 2292-2296 - [i9]James Melbourne, Tomasz Tkocz:
Reversals of Rényi Entropy Inequalities under Log-Concavity. CoRR abs/2005.10930 (2020) - [i8]James Melbourne, Govind Saraswat, Vivek Khatana, Sourav Patel, Murti V. Salapaka:
Convex Decreasing Algorithms: Distributed Synthesis and Finite-time Termination in Higher Dimension. CoRR abs/2007.13050 (2020) - [i7]James Melbourne:
Strongly Convex Divergences. CoRR abs/2009.10838 (2020)
2010 – 2019
- 2019
- [j2]Arnaud Marsiglietti, James Melbourne:
On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]. IEEE Trans. Inf. Theory 65(3): 1387-1396 (2019) - [c12]James Melbourne, Mokshay Madiman, Murti V. Salapaka:
Relationships between certain f -divergences. Allerton 2019: 1068-1073 - [c11]Jiange Li, Arnaud Marsiglietti, James Melbourne:
Entropic Central Limit Theorem for Rényi Entropy. ISIT 2019: 1137-1141 - [c10]Jiange Li, Arnaud Marsiglietti, James Melbourne:
Rényi Entropy Power Inequalities for s-concave Densities. ISIT 2019: 2224-2228 - 2018
- [j1]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): 749 (2018) - [c9]James Melbourne:
Rearrangements and information theoretic inequalities. Allerton 2018: 9-15 - [c8]Sivaraman Rajaganapathy, James Melbourne, Tanuj Aggarwal, Rachit Shrivastava, Murti V. Salapaka:
Learning and Estimation of Single Molecule Behavior. ACC 2018: 5125-5130 - [c7]James Melbourne, Saurav Talukdar, Murti V. Salapaka:
Realizing Information Erasure in Finite Time. CDC 2018: 4135-4140 - [c6]Arnaud Marsiglietti, James Melbourne:
A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]. ISIT 2018: 1964-1968 - [c5]Jiange Li, James Melbourne:
Further Investigations of the Maximum Entropy of the Sum of Two Dependent Random Variables. ISIT 2018: 1969-1972 - [c4]James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka:
Error Bounds on a Mixed Entropy Inequality. ISIT 2018: 1973-1977 - [i6]James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka:
The deficit in an entropic inequality. CoRR abs/1805.11257 (2018) - [i5]James Melbourne, Saurav Talukdar, Shreyas Bhaban, Murti V. Salapaka:
Error Bounds on a Mixed Entropy Inequality. CoRR abs/1805.11260 (2018) - [i4]James Melbourne:
Rearrangement and Prekopa-Leindler type inequalities. CoRR abs/1806.08837 (2018) - [i3]Peng Xu, Mokshay M. Madiman, James Melbourne:
An Exact Upper Bound on the Lp Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables. CoRR abs/1808.07732 (2018) - 2017
- [c3]Peng Xu, James Melbourne, Mokshay M. Madiman:
A min-entropy power inequality for groups. ISIT 2017: 674-678 - [c2]Peng Xu, James Melbourne, Mokshay M. Madiman:
Infinity-Rényi entropy power inequalities. ISIT 2017: 2985-2989 - [i2]Arnaud Marsiglietti, James Melbourne:
On the entropy power inequality for the Rényi entropy of order [0, 1]. CoRR abs/1710.00800 (2017) - 2016
- [c1]Peng Xu, James Melbourne, Mokshay M. Madiman:
Reverse entropy power inequalities for s-concave densities. ISIT 2016: 2284-2288 - [i1]Mokshay M. Madiman, James Melbourne, Peng Xu:
Forward and Reverse Entropy Power Inequalities in Convex Geometry. CoRR abs/1604.04225 (2016)
Coauthor Index
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