Local optima of the Sherrington-Kirkpatrick Hamiltonian

Gabor Lugosi; Louigi Addario-Berry; Luc Devroye; Roberto Imbuzeiro Oliveira

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Local optima of the Sherrington-Kirkpatrick Hamiltonian

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arxiv 1712.07775 v1 pith:EVW6UBPF submitted 2017-12-21 math.PR cs.DMmath.CO

Louigi Addario-Berry , Luc Devroye , Gabor Lugosi , Roberto Imbuzeiro Oliveira This is my paper

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keywords hamiltonianlocaloptimasherrington-kirkpatrickcomputedetermineexpectedexponent

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We study local optima of the Hamiltonian of the Sherrington-Kirkpatrick model. We compute the exponent of the expected number of local optima and determine the "typical" value of the Hamiltonian.

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