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math.PR2022
Optimization of random high-dimensional functions: Structure and algorithms
Antonio Auffinger, Andrea Montanari, Eliran Subag
Replica symmetry breaking postulates that near optima of spin glass Hamiltonians have an ultrametric structure. Namely, near optima can be associated to leaves of a tree, and the E…
math.PR2022★ 4 cited
Convergence of the free energy for spherical spin glasses
Eliran Subag
We prove that the free energy of any spherical mixed -spin model converges as the dimension tends to infinity. While the convergence is a consequence of the Parisi formula,…