Local optima of the Sherrington-Kirkpatrick Hamiltonian

نویسندگان

  • Louigi Addario-Berry
  • Luc Devroye
  • Gábor Lugosi
  • Roberto Imbuzeiro Oliveira
چکیده

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. *Supported by NSERC Discovery Grant 341845. †Supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada. ‡Supported by the SpanishMinistry of Economy and Competitiveness, GrantMTM2015-67304P and FEDER, EU. §Support from CNPq, Brazil via Ciência sem Fronteiras grant # 401572/2014-5. Supported by a Bolsa de Produtividade em Pesquisa from CNPq, Brazil. Supported by FAPESP Center for Neuromathematics (grant# 2013/ 07699-0 , FAPESP S. Paulo Research Foundation).

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عنوان ژورنال:
  • CoRR

دوره abs/1712.07775  شماره 

صفحات  -

تاریخ انتشار 2017