We show that a statistical mechanics model where both the Sherringhton–Kirkpatrick and Hopfield Hamiltonians appear, which is equivalent to a high-dimensional mismatched inference problem, is described by a replica symmetry-breaking Parisi solution.
The Onset of Parisi’s Complexity in a Mismatched Inference Problem / Camilli F.; Contucci P.; Mingione E.. - In: ENTROPY. - ISSN 1099-4300. - STAMPA. - 26:1(2024), pp. 42.1-42.15. [10.3390/e26010042]
The Onset of Parisi’s Complexity in a Mismatched Inference Problem
Camilli F.;Contucci P.;Mingione E.
2024
Abstract
We show that a statistical mechanics model where both the Sherringhton–Kirkpatrick and Hopfield Hamiltonians appear, which is equivalent to a high-dimensional mismatched inference problem, is described by a replica symmetry-breaking Parisi solution.File in questo prodotto:
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