hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	AUJOL, Jf
hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	DOSSAL, Ch
dc.date.accessioned	2024-04-04T03:09:46Z
dc.date.available	2024-04-04T03:09:46Z
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/193634
dc.description.abstractEn	This paper is devoted to the study of an ODE associated to FISTA. New vonvergence results are presented, even in the case of non convex functions. The asymptotic rate are proven to be optimal with the study of particular instances. Robustness to noise is also investigated.
dc.language.iso	en
dc.title.en	Optimal rate of convergence of an ODE associated to the Fast Gradient Descent schemes for b>0
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-01547251
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-01547251v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AUJOL,%20Jf&DOSSAL,%20Ch&rft.genre=preprint

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Optimal rate of convergence of an ODE associated to the Fast Gradient Descent schemes for b>0