A diluted version of the perceptron model

Márquez, David (Márquez Carreras)Rovira Escofet, CarlesTindel, Samy2024-11-182024-11-182007-120304-4149https://hdl.handle.net/2445/216553This note is concerned with a diluted version of the perceptron model. We establish a replica symmetric formula at high temperature, which is achieved by studying the asymptotic behavior of a given spin magnetization. Our main task will be to identify the order parameter of the system.29 p.application/pdfeng(c) Elsevier B.V., 2007Mecànica estadísticaProcessos gaussiansStatistical mechanicsGaussian processesA diluted version of the perceptron modelinfo:eu-repo/semantics/article5499532024-11-18info:eu-repo/semantics/openAccess