Strong Data Processing Inequalities and \Phi -Sobolev Inequalities for Discrete Channels

The noisiness of a channel can be measured by comparing suitable functionals of the input and output distributions. For instance, the worst case ratio of output relative entropy to input relative entropy for all possible pairs of input distributions is bounded from above by unity, by the data proces...

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Bibliographic Details
Published in:IEEE transactions on information theory 2016-06, Vol.62 (6), p.3355-3389
Main Author: Raginsky, Maxim
Format: Article
Language:English
Subjects:
Channels
Constants
Correlation
Data processing
divergence
Entropy
Functionals
Inequalities
Information theory
Kernel
Markov chains
Markov processes
Probability distribution
Strong data processing inequalities
Unity
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