Preconditioned ADMM with Nonlinear Operator Constraint - System Modeling and Optimization Access content directly
Conference Papers Year : 2016

Preconditioned ADMM with Nonlinear Operator Constraint

Florian Knoll
  • Function : Author
  • PersonId : 1021952
Carola-Bibiane Schönlieb
  • Function : Author
  • PersonId : 1013798
Tuomo Valkonen
  • Function : Author
  • PersonId : 1021953
Martin Benning
  • Function : Author
  • PersonId : 1021954

Abstract

We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator constraints. Connections to the recently developed Nonlinear Primal-Dual Hybrid Gradient Method (NL-PDHGM) are presented, and the algorithm is demonstrated to handle the nonlinear inverse problem of parallel Magnetic Resonance Imaging (MRI).
Fichier principal
Vignette du fichier
447583_1_En_10_Chapter.pdf (507.61 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01626884 , version 1 (31-10-2017)

Licence

Attribution

Identifiers

Cite

Florian Knoll, Carola-Bibiane Schönlieb, Tuomo Valkonen, Martin Benning. Preconditioned ADMM with Nonlinear Operator Constraint. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.117-126, ⟨10.1007/978-3-319-55795-3_10⟩. ⟨hal-01626884⟩
442 View
110 Download

Altmetric

Share

Gmail Facebook X LinkedIn More