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Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control
by
Pan, Yunpeng
, Theodorou, Evangelos
in
Approximation
/ Control theory
/ Dynamic programming
/ Gaussian process
/ Information theory
/ Markov analysis
/ Markov processes
/ Mathematical analysis
/ Optimal control
/ Stochastic processes
2016
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Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control
by
Pan, Yunpeng
, Theodorou, Evangelos
in
Approximation
/ Control theory
/ Dynamic programming
/ Gaussian process
/ Information theory
/ Markov analysis
/ Markov processes
/ Mathematical analysis
/ Optimal control
/ Stochastic processes
2016
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Do you wish to request the book?
Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control
by
Pan, Yunpeng
, Theodorou, Evangelos
in
Approximation
/ Control theory
/ Dynamic programming
/ Gaussian process
/ Information theory
/ Markov analysis
/ Markov processes
/ Mathematical analysis
/ Optimal control
/ Stochastic processes
2016
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Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control
Paper
Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control
2016
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Overview
We present two nonparametric approaches to Kullback-Leibler (KL) control, or linearly-solvable Markov decision problem (LMDP) based on Gaussian processes (GP) and Nystr\"om approximation. Compared to recently developed parametric methods, the proposed data-driven frameworks feature accurate function approximation and efficient on-line operations. Theoretically, we derive the mathematical connection of KL control based on dynamic programming with earlier work in control theory which relies on information theoretic dualities for the infinite time horizon case. Algorithmically, we give explicit optimal control policies in nonparametric forms, and propose on-line update schemes with budgeted computational costs. Numerical results demonstrate the effectiveness and usefulness of the proposed frameworks.
Publisher
Cornell University Library, arXiv.org
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