Weighted Gaussian entropy and determinant inequalities
Information Theory
2015-05-08 v1 math.IT
Abstract
We produce a series of results extending information-theoretical inequalities (discussed by Dembo--Cover--Thomas in 1989-1991) to a weighted version of entropy. The resulting inequalities involve the Gaussian weighted entropy; they imply a number of new relations for determinants of positive-definite matrices.
Keywords
Cite
@article{arxiv.1505.01753,
title = {Weighted Gaussian entropy and determinant inequalities},
author = {Y. Suhov and S. Yasaei Sekeh and I. Stuhl},
journal= {arXiv preprint arXiv:1505.01753},
year = {2015}
}