Symmetry reduction for dynamic programming and application to MRI - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année :

Symmetry reduction for dynamic programming and application to MRI

, (1) , (2) ,
1
2
John Maidens
  • Fonction : Auteur
Axel Barrau
  • Fonction : Auteur
  • PersonId : 776804
  • IdRef : 194303462
Murat Arcak
  • Fonction : Auteur

Résumé

— 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×.
Fichier principal
Vignette du fichier
2017ACC-2.pdf (375.7 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01695778 , version 1 (29-01-2018)

Identifiants

Citer

John Maidens, Axel Barrau, Silvère Bonnabel, Murat Arcak. Symmetry reduction for dynamic programming and application to MRI. 2017 American Control Conference (ACC), May 2017, Seattle, France. ⟨10.23919/ACC.2017.7963669⟩. ⟨hal-01695778⟩
111 Consultations
176 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More