Optimization Strategies in Complex Systems

Fuente: arXiv
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Auteurs principaux: Bussolari, L., Contucci, P., Giardina', C., Giberti, C., Unguendoli, F., Vernia, C.
Format: Preprint
Publié: 2003
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author Bussolari, L.
Contucci, P.
Giardina', C.
Giberti, C.
Unguendoli, F.
Vernia, C.
author_facet Bussolari, L.
Contucci, P.
Giardina', C.
Giberti, C.
Unguendoli, F.
Vernia, C.
contents We consider a class of combinatorial optimization problems that emerge in a variety of domains among which: condensed matter physics, theory of financial risks, error correcting codes in information transmissions, molecular and protein conformation, image restoration. We show the performances of two algorithms, the``greedy'' (quick decrease along the gradient) and the``reluctant'' (slow decrease close to the level curves) as well as those of a``stochastic convex interpolation''of the two. Concepts like the average relaxation time and the wideness of the attraction basin are analyzed and their system size dependence illustrated.
format Preprint
id arxiv_https___arxiv_org_abs_math_0309058
institution arXiv
publishDate 2003
record_format arxiv
spellingShingle Optimization Strategies in Complex Systems
Bussolari, L.
Contucci, P.
Giardina', C.
Giberti, C.
Unguendoli, F.
Vernia, C.
Numerical Analysis
Mathematical Physics
We consider a class of combinatorial optimization problems that emerge in a variety of domains among which: condensed matter physics, theory of financial risks, error correcting codes in information transmissions, molecular and protein conformation, image restoration. We show the performances of two algorithms, the``greedy'' (quick decrease along the gradient) and the``reluctant'' (slow decrease close to the level curves) as well as those of a``stochastic convex interpolation''of the two. Concepts like the average relaxation time and the wideness of the attraction basin are analyzed and their system size dependence illustrated.
title Optimization Strategies in Complex Systems
topic Numerical Analysis
Mathematical Physics
url https://arxiv.org/abs/math/0309058