Corpus ID: 236428553

An inference problem in a mismatched setting: a spin-glass model with Mattis interaction

@inproceedings{Camilli2021AnIP,
  title={An inference problem in a mismatched setting: a spin-glass model with Mattis interaction},
  author={Francesco Camilli and Pierluigi Contucci and Emanuele Mingione},
  year={2021}
}
The Wigner spiked model in a mismatched setting is studied with the finite temperature Statistical Mechanics approach through its representation as a Sherrington-Kirkpatrick model with added Mattis interaction. The exact solution of the model with Ising spins is rigorously proved to be given by a variational principle on two order parameters, the Parisi overlap distribution and the Mattis magnetization. The latter is identified by an ordinary variational principle and turns out to concentrate… Expand
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