Title
Rearrangements and information theoretic inequalities.
Abstract
We investigate the interaction of functional rearrangements with information theoretic inequalities. In particular we will prove the Relative Fisher information from Gaussianity decreases on half-space rearrangement, as a consequence we get a qualitative sharpening of the usual Gaussian log-Sobolev inequality. Additionally, we compare this half space rearrangement’s interaction with distance from Gaussianity, with the spherical rearrangement’s role in entropy power inequalities.
Year
DOI
Venue
2018
10.1109/ALLERTON.2018.8636000
Allerton
Keywords
Field
DocType
Entropy,Standards,Random variables,Large scale integration,Measurement,1/f noise,Linear matrix inequalities
Sharpening,Applied mathematics,Mathematical optimization,Random variable,Computer science,Half-space,Inequality,Gaussian,Fisher information
Conference
ISSN
ISBN
Citations 
2474-0195
978-1-5386-6596-1
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
James C Melbourne123.75