Abstract
The perceptron model originates in the theory of neural networks. The genuinely different feature from the Sherrington-Kirkpatrick model is that the cavity method exists in two versions, one which is as previously basically induction over the number of spins, whereas the other one is basically induction over the number of terms in the Hamiltonian. We obtain a first control of the model at high enough temperature.
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© 2011 Springer-Verlag Berlin Heidelberg
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Talagrand, M. (2011). The Perceptron Model. In: Mean Field Models for Spin Glasses. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15202-3_2
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DOI: https://doi.org/10.1007/978-3-642-15202-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15201-6
Online ISBN: 978-3-642-15202-3
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