FR4.R4.3

Gaussian mixtures: convexity properties and CLT rates for the entropy and Fisher information

Alexandros Eskenazis, CNRS, Sorbonne Universite, France; Lampros Gavalakis, Gustave Eiffel University, France
Session:
Entropy Power Inequalities
Track:
9: Shannon Theory
Location:
Omikron II
Presentation Time:
Fri, 12 Jul, 17:05 - 17:25
Session Chair:
Olivier Rioul, Institut Polytechnique de Paris
Presentation
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Discussion
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Session FR4.R4
FR4.R4.1: Dimensional discrete entropy power inequalities for log-concave random vectors
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport, Univ Gustave Eiffel, Univ Paris Est Creteil, CNRS, LAMA UMR8050 F-77447, France
FR4.R4.2: An entropic inequality in finite Abelian groups analogous to the unified Brascamp-Lieb and Entropy Power Inequality
Chin Wa (Ken) Lau, Chandra NAIR, The Chinese University of Hong Kong, Hong Kong SAR of China
FR4.R4.3: Gaussian mixtures: convexity properties and CLT rates for the entropy and Fisher information
Alexandros Eskenazis, CNRS, Sorbonne Universite, France; Lampros Gavalakis, Gustave Eiffel University, France
FR4.R4.4: McKean’s Conjecture Under the Log-Concavity Assumption
Yanlin Geng, Xidian University, China
Resources
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