Title
An information geometric framework for the optimization on a discrete probability spaces: Application to human trajectory classification.
Abstract
This paper presents an iterative algorithm using a information geometric framework to perform the optimization on a discrete probability spaces. In the proposed methodology, the probabilities are considered as points in a statistical manifold. This differs greatly regarding the traditional approaches in which the probabilities lie on a simplex mesh constraint. We present an application for estimating the switching probabilities in a space-variant HMM to perform human activity recognition from trajectories; a core contribution in this paper. More specifically, the HMM is equipped with a space-variant vector fields that are not constant but depending on the objects׳s localization. To achieve this, we apply the iterative optimization of switching probabilities based on the natural gradient vector, with respect to the Fisher information metric. Experiments on synthetic and realworld problems, focused on human activity recognition in long-range surveillance settings show that the proposed methodology compares favorably with the state-of-the-art.
Year
DOI
Venue
2015
10.1016/j.neucom.2014.08.074
Neurocomputing
Keywords
DocType
Volume
Fisher information metric,HMM,Human activity recognition,Natural gradient,Riemannian manifold,Surveillance
Journal
150
Issue
ISSN
Citations 
PA
0925-2312
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Jacinto C. Nascimento139640.94
miguel barao2112.40
Jorge S. Marques353567.78
João Miranda Lemos45410.64