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James Melbourne
James Melbourne
CIMAT
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År
Forward and reverse entropy power inequalities in convex geometry
M Madiman, J Melbourne, P Xu
Convexity and concentration, 427-485, 2017
1012017
On the entropy power inequality for the Rényi entropy of order [0, 1]
A Marsiglietti, J Melbourne
IEEE Transactions on Information Theory 65 (3), 1387-1396, 2018
322018
Rogozin's convolution inequality for locally compact groups
M Madiman, J Melbourne, P Xu
arXiv preprint arXiv:1705.00642, 2017
312017
Concentration functions and entropy bounds for discrete log-concave distributions
SG Bobkov, A Marsiglietti, J Melbourne
Combinatorics, Probability and Computing 31 (1), 54-72, 2022
252022
P. Xu. Rogozin’s convolution inequality for locally compact groups
M Madiman, J Melbourne
Preprint, 2017
242017
Hyperbolic measures on infinite dimensional spaces
SG Bobkov, J Melbourne
Probability Surveys 13, 57-88, 2016
202016
Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities
J Li, A Marsiglietti, J Melbourne
Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 …, 2020
192020
The differential entropy of mixtures: New bounds and applications
J Melbourne, S Talukdar, S Bhaban, M Madiman, MV Salapaka
IEEE Transactions on Information Theory 68 (4), 2123-2146, 2022
152022
Reversal of Rényi entropy inequalities under log-concavity
J Melbourne, T Tkocz
IEEE Transactions on Information Theory 67 (1), 45-51, 2021
152021
Infinity-Rényi entropy power inequalities
P Xu, J Melbourne, M Madiman
2017 IEEE International Symposium on Information Theory (ISIT), 2985-2989, 2017
142017
Geometric and functional inequalities for log-concave probability sequences
A Marsiglietti, J Melbourne
Discrete & Computational Geometry 71 (2), 556-586, 2024
132024
Bernoulli sums and Rényi entropy inequalities
M Madiman, J Melbourne, C Roberto
Bernoulli 29 (2), 1578-1599, 2023
132023
On the geometry of consensus algorithms with application to distributed termination in higher dimension
J Melbourne, G Saraswat, V Khatana, S Patel, MV Salapaka
IFAC-PapersOnLine 53 (2), 2951-2956, 2020
132020
Transport-majorization to analytic and geometric inequalities
J Melbourne, C Roberto
Journal of Functional Analysis 284 (1), 109717, 2023
122023
Reverse entropy power inequalities for s-concave densities
P Xu, J Melbourne, M Madiman
2016 IEEE International Symposium on Information Theory (ISIT), 2284-2288, 2016
122016
Concentration Inequalities for Ultra Log-Concave Distributions
H Aravinda, A Marsiglietti, J Melbourne
Studia Mathematica 265, 111-120, 2022
112022
Strongly convex divergences
J Melbourne
Entropy 22 (11), 1327, 2020
112020
Rearrangement and Prékopa–Leindler type inequalities
J Melbourne
High Dimensional Probability VIII: The Oaxaca Volume, 71-97, 2019
102019
Realizing information erasure in finite time
J Melbourne, S Talukdar, MV Salapaka
2018 IEEE conference on decision and control (CDC), 4135-4140, 2018
102018
Relationships between certain f-divergences
J Melbourne, M Madiman, MV Salapaka
2019 57th Annual Allerton Conference on Communication, Control, and …, 2019
92019
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Artikler 1–20