Dirichlet process mixture models on symmetric positive definite matrices for appearance clustering in video surveillance applications

CVPR 2011 ◽  
2011 ◽  
Author(s):  
Anoop Cherian ◽  
Vassilios Morellas ◽  
Nikolaos Papanikolopoulos ◽  
Saad J. Bedros
Keyword(s):  
Mixture Models ◽  
Video Surveillance ◽  
Dirichlet Process ◽  
Positive Definite ◽  
Dirichlet Process Mixture ◽  
Positive Definite Matrices ◽  
Symmetric Positive Definite ◽  
Dirichlet Process Mixture Models ◽  
Symmetric Positive Definite Matrices ◽  
Surveillance Applications

A Trace Inequality for Symmetric Nonnegative Definite Matrices

2011 ◽  
Vol 225-226 ◽  
pp. 970-973
Author(s):  
Shi Qing Wang
Keyword(s):  
Control Theory ◽  
Communication Systems ◽  
Positive Definite ◽  
Trace Inequality ◽  
Positive Definite Matrices ◽  
Symmetric Positive Definite ◽  
Multiple Input ◽  
Nonnegative Definite ◽  
Symmetric Positive Definite Matrices ◽  
Trace Inequalities

Trace inequalities naturally arise in control theory and in communication systems with multiple input and multiple output. One application of Belmega’s trace inequality has already been identified [3]. In this paper, we extend the symmetric positive definite matrices of his inequality to symmetric nonnegative definite matrices, and the inverse matrices to Penrose-Moore inverse matrices.

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