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dc.contributor.authorTheumann, Alba Graciela Rivas dept_BR
dc.date.accessioned2014-09-23T02:12:32Zpt_BR
dc.date.issued1996pt_BR
dc.identifier.issn1063-651Xpt_BR
dc.identifier.urihttp://hdl.handle.net/10183/103640pt_BR
dc.description.abstractWe study the space of interactions of a connected neural network with biased patterns, when the synaptic interactions satisfy a symmetry constraint. We show that the solution to the problem requires the calculation of a quantity NΩμ analogous to the thermodynamic potential of a multiply connected Ising model with site dependent interactions, which maps the present problem into the spin-glass problem. By using a diagrammatic expansion, we express NΩμ formally as a functional of renormalized site dependent ‘‘propagators’’ Gij and local ‘‘magnetizations’’ mi , which are determined from a variational principle. Calculating NΩμ in the single site or Brout approximation we recover the theory of Thouless, Anderson, and Palmer (TAP), while the mi satisfy TAP-like equations. In the impossibility of solving the equations, we analyze an approximate solution that sums only tree diagrams and interpolates between the two known results of total asymmetry, finite bias, and arbitrary symmetry with vanishing bias. The results show a small dependence on the asymmetry parameter.en
dc.format.mimetypeapplication/pdf
dc.language.isoengpt_BR
dc.relation.ispartofPhysical Review. E, Statistical physics, plasmas, fluids and related interdisciplinary topics. New York. Vol. 53, no. 6B (June 1996), p. 6361-6370pt_BR
dc.rightsOpen Accessen
dc.subjectFísica da matéria condensadapt_BR
dc.subjectRedes neuraispt_BR
dc.subjectSimetriaspt_BR
dc.subjectVidros de spinpt_BR
dc.subjectModelo de isingpt_BR
dc.subjectMagnetizaçãopt_BR
dc.subjectRenormalizacaopt_BR
dc.subjectModelos de vidros de spinpt_BR
dc.subjectBiofísicapt_BR
dc.subjectMatemáticapt_BR
dc.subjectMecânica estatísticapt_BR
dc.subjectEquilíbrio de fasept_BR
dc.titleSpace of interactions with definite symmetry in neural networks with biased patterns as a spin-glass problempt_BR
dc.typeArtigo de periódicopt_BR
dc.identifier.nrb000148973pt_BR
dc.type.originEstrangeiropt_BR


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