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Optimal control as a graphical model inference problem

delete2012-02-01
delete193
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OA
AI
H
Hilbert J. Kappen
V
Vicenç Gómez *
M
Manfred Opper
DOI:10.1007/s10994-012-5278-7delete
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摘要

摘要

En 中文
We reformulate a class of non-linear stochastic optimal control problems introduced by Todorov (in Advances in Neural Information Processing Systems, vol. 19, pp. 1369-1376, 2007) as a Kullback-Leibler (KL) minimization problem. As a result, the optimal control computation reduces to an inference computation and approximate inference methods can be applied to efficiently compute approximate optimal controls. We show how this KL control theory contains the path integral control method as a special case. We provide an example of a block stacking task and a multi-agent cooperative game where we demonstrate how approximate inference can be successfully applied to instances that are too complex for exact computation. We discuss the relation of the KL control approach to other inference approaches to control.
Keyword:
Optimal control
Uncontrolled dynamics
Kullback-Leibler divergence
Graphical model
Approximate inference
Cluster variation method
Belief propagation

期刊

Machine Learning 封面图
Machine Learning
IF:
2.9
论文数:
2.7K
被引数:
3.4W

机构

T
Technical University of Berlin
学者数:
1.3W
论文数: 1.1W
被引数: 18
R
Radboud University Nijmegen
学者数:
4.4W
论文数: 3.4W
被引数: 5.4W
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