[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica

[magnani at dm.unipi.it]

Behavior of the gradient flow: the convex case
---------------------------------------------
Speaker: Aris Daniilidis (Universitat Autònoma de Barcelona)
Seminari di Calcolo delle Variazioni e Analisi Geometrica
23 Feb 2011

   Dipartimento di Matematica - Sala Seminari - ore 18:00

   ABSTRACT: The classical Lojasiewicz inequality and its extension to
   o-minimal structures by K. Kurdyka has a considerable impact on the
   analysis of gradient-like methods and related problems. In this talk we
   shall discuss alternative characterizations of this type of inequality
   via the notion of a defragmented gradient curve: such curves have
   uniformly bounded lengths if and only if the Kurdyka-Lojasiewicz
   inequality is satisfied. Another characterization in terms of talweg
   lines will be given. In the convex case these results are significantly
   reinforced, allowing in particular to establish a kind of asymptotic
   equivalence for discrete gradient methods and continuous gradient
   curves. (Based on a joint work with J. Bolte, O. Ley and L. Mazet)


You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110216a/