Poincaré and Log–Sobolev Inequalities for Mixtures

Poincaré and Log–Sobolev Inequalities for Mixtures

This work studies mixtures of probability measures on R n and gives bounds on the Poincaré and the log–Sobolev constants of two-component mixtures provided that each component satisfies the functional inequality, and both components are close in the χ 2 -distance. The estimation of th...

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Bibliographic Details
Main Author: André Schlichting
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Entropy
Subjects:
Poincaré inequality
log–Sobolev inequality
relative entropy
fisher information
Dirichlet form
mixture
finite Gaussian mixtures
Online Access:http://www.mdpi.com/1099-4300/21/1/89

Internet

http://www.mdpi.com/1099-4300/21/1/89

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