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Conference papers
Symmetry reduction for dynamic programming and application to MRI
Abstract : — We present a method of exploiting symmetries of discrete-time optimal control problems to reduce the dimen-sionality of dynamic programming iterations. The results are derived for systems with continuous state variables, and can be applied to systems with continuous or discrete symmetry groups. We prove that symmetries of the state update equation and stage costs induce corresponding symmetries of the optimal cost function and the optimal policies. Thus symmetries can be exploited to allow dynamic programming iterations to be performed in a reduced state space. The application of these results is illustrated using a model of spin dynamics for magnetic resonance imaging (MRI). For this application problem, the symmetry reduction introduced leads to a significant speedup, reducing computation time by a factor of 75×.
Cited literature [29 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-01695778
Contributor : Silvere Bonnabel <>
Submitted on : Monday, January 29, 2018 - 5:06:52 PM
Last modification on : Wednesday, October 14, 2020 - 3:52:36 AM
Long-term archiving on: : Friday, May 25, 2018 - 3:26:43 PM
Contributor : Silvere Bonnabel <>
Submitted on : Monday, January 29, 2018 - 5:06:52 PM
Last modification on : Wednesday, October 14, 2020 - 3:52:36 AM
Long-term archiving on: : Friday, May 25, 2018 - 3:26:43 PM
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2017ACC-2.pdf
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