Abstract | ||
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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 |
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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 |
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James C Melbourne | 1 | 2 | 3.75 |