Title
Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes.
Abstract
It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies are generally stochastic. We study the expected reward optimization problem over the set of memoryless stochastic policies. We formulate this as a constrained linear optimization problem and develop a corresponding geometric framework. We show that any POMDP has an optimal memoryless policy of limited stochasticity, which allows us to reduce the dimensionality of the search space. Experiments demonstrate that this approach enables better and faster convergence of the policy gradient on the evaluated systems.
Year
Venue
DocType
2015
arXiv: Optimization and Control
Journal
Volume
Citations 
PageRank 
abs/1503.07206
1
0.38
References 
Authors
6
3
Name
Order
Citations
PageRank
Guido Montufar175.63
Keyan Ghazi-Zahedi2183.51
Nihat Ay3101.97