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arXiv · 1712.07775

Local optima of the Sherrington-Kirkpatrick Hamiltonian

Louigi Addario-Berry·Luc Devroye·Gabor Lugosi·Roberto Imbuzeiro Oliveira
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Abstract

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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Louigi Addario-Berry, Luc Devroye, Gabor Lugosi, Roberto Imbuzeiro Oliveira. 2017-12-21. Local optima of the Sherrington-Kirkpatrick Hamiltonian. https://arxiv.org/abs/1712.07775

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