Information Submanifold Based on SPD Matrices and Its Applications to Sensor Networks

In this paper, firstly, manifoldPD(n)consisting of alln×nsymmetric positive-definite matrices is introduced based on matrix information geometry; Secondly, the geometrical structures of information submanifold ofPD(n)are presented including metric, geodesic and geodesic distance; Thirdly, the inform...

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Bibliographic Details
Main Authors: Hao Xu, Huafei Sun, Aung Naing Win
Format: Article
Language:English
Published: MDPI AG 2017-03-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/19/3/131