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Optimization of Mean-field Spin Glasses
[article]
2020
arXiv
pre-print
Mean-field spin glasses are families of random energy functions (Hamiltonians) on high-dimensional product spaces. In this paper we consider the case of Ising mixed p-spin models, namely Hamiltonians H_N:Σ_N→R on the Hamming hypercube Σ_N = {± 1}^N, which are defined by the property that {H_N(σ)}_σ∈Σ_N is a centered Gaussian process with covariance E{H_N(σ_1)H_N(σ_2)} depending only on the scalar product 〈σ_1,σ_2〉. The asymptotic value of the optimum max_σ∈Σ_NH_N(σ) was characterized in terms
arXiv:2001.00904v1
fatcat:kzbnx4m57zbgxmf7xpl5sdweri