inria-00548631, version 1
EP for Efficient Stochastic Control with Obstacles
Thomas Mensink a, 1Jakob Verbeek
2Bert Kappen 3
ECAI 2010 - 19th European Conference on Artificial Intelligence (2010) 675-680
Résumé : We address the problem of continuous stochastic optimal control in the presence of hard obstacles. Due to the non-smooth character of the obstacles, the traditional approach using dynamic programming in combination with function approximation tends to fail. We consider a recently introduced special class of control problems for which the optimal control computation is reformulated in terms of a path integral. The path integral is typically intractable, but amenable to techniques developed for approximate inference.We argue that the variational approach fails in this case due to the nonsmooth cost function. Sampling techniques are simple to implement and converge to the exact results given enough samples. However, the infinite cost associated with hard obstacles renders the sampling procedures inefficient in practice. We suggest Expectation Propagation (EP) as a suitable approximation method, and compare the quality and efficiency of the resulting control with an MC sampler on a car steering task and a ball throwing task.We conclude that EP can solve these challenging problems much better than a sampling approach.
- a – INRIA, XRCE
- 1 : Xerox Research Centre Europe [Meylan]
- Xerox
- 2 : LEAR (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
- INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut polytechnique de Grenoble (Grenoble INP) – CNRS : UMR5224
- 3 : Department of Medical Physics and Biophysics (Biophysics)
- Radboud university of Nijmegen
- Domaine : Informatique/Vision par ordinateur et reconnaissance de formes
- inria-00548631, version 1
- http://hal.inria.fr/inria-00548631
- oai:hal.inria.fr:inria-00548631
- Contributeur : Team Lear
- Déposé pour le compte de :
- Soumis le : Lundi 20 Décembre 2010, 10:22:12
- Dernière modification le : Samedi 4 Janvier 2014, 10:17:40