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Article overview
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Finite size scaling in neural networks | Walter Nadler
; Wolfgang Fink
; | Date: |
5 Nov 1996 | Subject: | Disordered Systems and Neural Networks; Adaptation and Self-Organizing Systems | cond-mat.dis-nn adap-org nlin.AO | Affiliation: | Institut fuer Theoretische Chemie, Universitaet Tuebingen) and Wolfgang Fink (Institut fuer Theoretische Physik, Universitaet Tuebingen | Abstract: | We demonstrate that the fraction of pattern sets that can be stored in single- and hidden-layer perceptrons exhibits finite size scaling. This feature allows to estimate the critical storage capacity alpha_c from simulations of relatively small systems. We illustrate this approach by determining alpha_c, together with the finite size scaling exponent
u, for storing Gaussian patterns in committee and parity machines with binary couplings and up to K=5 hidden units. | Source: | arXiv, cond-mat/9611027 | Services: | Forum | Review | PDF | Favorites |
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