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April 2000 Intersecting random half-spaces: toward the Gardner-Derrida formula
Michel Talagrand
Ann. Probab. 28(2): 725-758 (April 2000). DOI: 10.1214/aop/1019160259

Abstract

Gardner and Derrida have introduced a natural version of the problem of the capacity of the binary perceptron “with temperature,”and they proposed (based on “physical” methods) remarkable formulas for this model. We give a complete rigorous proof that these formulas are correct at sufficiently high temperature for a much larger class of models.

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Michel Talagrand. "Intersecting random half-spaces: toward the Gardner-Derrida formula." Ann. Probab. 28 (2) 725 - 758, April 2000. https://doi.org/10.1214/aop/1019160259

Information

Published: April 2000
First available in Project Euclid: 18 April 2002

zbMATH: 1043.82030
MathSciNet: MR1782273
Digital Object Identifier: 10.1214/aop/1019160259

Subjects:
Primary: 82A57
Secondary: 60F99, 60G99

Rights: Copyright © 2000 Institute of Mathematical Statistics

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Vol.28 • No. 2 • April 2000
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