Variable Resolution Discretization in Optimal Control

Remi Munos
Andrew Moore

Introductive papers:

Variable Resolution Discretization in Optimal Control.
    Machine Learning Journal, 2002. Postscript (431KB).

Variable resolution discretization for high-accuracy solutions of optimal control problem.
    International Joint Conference on Artificial Intelligence 1999. Postscript (315KB).

Influence and Variance of a Markov Chain :
    Application to Adaptive Discretization in Optimal Control.
    IEEE Conference on Decision and Control 1999. Postscript (180KB).

Description of the optimal control problems:

A few videos:

Description of the method :

Introduction :

1- The discretization process

2- Description of the "Car on the Hill" control problem