Analytic Investigations of Random Search Strategies for Parameter Optimization

dc.creatorAsselmeyer, Torsten
dc.creatorEbeling, Werner
dc.date1995-08-10
dc.date.accessioned2026-07-07T09:05:33Z
dc.date.available2026-07-07T09:05:33Z
dc.descriptionSeveral standard processes for searching minima of potential functions, such as thermodynamical strategies (simulated annealing) and biologically motivated selfreproduction strategies, are reduced to Schrödinger problems. The properties of the landscape are encoded in the spectrum of the Hamiltonian. We investigate this relation between landscape and spectrum by means of topological methods which lead to a possible classification of landscapes in the framework of the operator theory. The influence of the dimension $d$ of the search space is discussed. The connection between thermodynamical strategies and biologically motivated selfreproduction strategies is analyzed and interpreted in the above context. Mixing of both strategies is introduced as a new powerful tool of optimization.
dc.descriptionReVTeX 3.0, psfig1.9, tar-archive, uudecoded, 9 pages, submitted to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/adap-org/9508003
dc.identifierhttp://arxiv.org/abs/adap-org/9508003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149713
dc.subjectAdaptation and Self-Organizing Systems
dc.titleAnalytic Investigations of Random Search Strategies for Parameter Optimization
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