Local Search Proximal Algorithms as Decision Dynamics with Costs to Move |
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Authors: | H Attouch A Soubeyran |
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Institution: | 1.I3M UMR CNRS 5149,Université Montpellier II,Montpellier,France;2.GREQAM UMR CNRS 6579,Université de la Méditerranée, Chateau Lafarge,Les Milles,France |
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Abstract: | Acceptable moves for the “worthwhile-to-move” incremental principle are such that “advantages-to-move” are higher than some
fraction of “costs-to-move”. When combined with optimization, this principle gives raise to adaptive local search proximal
algorithms. Convergence results are given in two distinctive cases, namely low local costs-to-move and high local costs-to-move.
In this last case, one obtains a dynamic cognitive approach to Ekeland’s ϵ-variational principle. Introduction of costs-to-move in the algorithms yields robustness and stability properties. |
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