Title
Information value in nonparametric Dirichlet-process Gaussian-process (DPGP) mixture models.
Abstract
This paper presents tractable information value functions for Dirichlet-process Gaussian-process (DPGP) mixture models obtained via collocation methods and Monte Carlo integration. Quantifying information value in tractable closed form is key to solving control and estimation problems for autonomous information-gathering systems. The properties of the proposed value functions are analyzed and then demonstrated by planning sensor measurements so as to minimize the uncertainty in DPGP target models that are learned incrementally over time. Simulation results show that sensor planning based on expected KL divergence outperforms algorithms based on mutual information, particle filters, and randomized methods.
Year
DOI
Venue
2016
10.1016/j.automatica.2016.07.018
Automatica
Keywords
Field
DocType
Information theory,Bayesian nonparametric models,Gaussian process,Dirichlet process,Information gain
Information theory,Mathematical optimization,Dirichlet process,Particle filter,Monte Carlo integration,Gaussian process,Mutual information,Mathematics,Kullback–Leibler divergence,Mixture model
Journal
Volume
Issue
ISSN
74
C
0005-1098
Citations 
PageRank 
References 
2
0.37
0
Authors
8
Name
Order
Citations
PageRank
Hongchuan Wei1142.61
Wenjie Lu2213.92
Pingping Zhu362.79
Silvia Ferrari437739.45
Miao Liu5396.28
Robert H. Klein630.72
Shayegan Omidshafiei76010.34
Jonathan How81759185.09