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Safeguarded Anderson acceleration for parametric nonexpansive operators

Abstract:
This paper describes the design of a safeguarding scheme for Anderson acceleration to improve its practical performance and stability when used for first-order optimisation methods. We show how the combination of a nonexpansiveness condition, conditioning constraints, and memory restarts integrate well with solver algorithms that can be represented as fixed point operators with dynamically varying parameters. The performance of the scheme is demonstrated on seven different QP and SDP problem types, including more than 500 problems. The safeguarded Anderson acceleration scheme proposed in this paper is implemented in the opensource ADMM-based conic solver COSMO.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.23919/ECC55457.2022.9838320

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
IEEE
Host title:
Proceedings of the 20th European Control Conference (ECC 2022)
Pages:
435-440
Publication date:
2022-08-05
Acceptance date:
2022-03-30
Event title:
20th European Control Conference (ECC 2022)
Event location:
London, UK
Event website:
https://ecc22.euca-ecc.org/
Event start date:
2022-07-12
Event end date:
2022-07-15
DOI:
EISBN:
978-3-9071-4407-7
ISBN:
978-1-6654-9733-6


Language:
English
Keywords:
Pubs id:
1262906
Local pid:
pubs:1262906
Deposit date:
2022-06-10

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