Weighted Gaussian entropy and determinant inequalities

Autor:	Suhov, Y., Sekeh, S. Yasaei, Stuhl, I.
Rok vydání:	2015
Předmět:	Computer Science - Information Theory 60A10 60B05 60C05
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.01753 Zobrazit plný text záznamu View this record from Arxiv