A remark on the spherical bipartite spin glass

Abstract

Auffinger and Chen proved a variational formula for the free energy of the spherical bipartite spin glass in terms of a global minimum over the overlaps. We show that a different optimisation procedure leads to a saddle point, similar to the one achieved for models on the vertices of the hypercube.

References in corpus (7)

• Free energy and complexity of spherical bipartite models
• Free energy in multi-species mixed $p$-spin spherical models
• Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses
• Legendre Duality of Spherical and Gaussian Spin Glasses
• Legendre Equivalences of Spherical Boltzmann Machines
• The Ground State Energy and Concentration of Complexity in Spherical Bipartite Models
• Complexity of bipartite spherical spin glasses

Cited by in corpus (1)

• Hopfield model with planted patterns: a teacher-student self-supervised learning model