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math.PR2023★ 2 cited
AMP algorithms and Stein's method: Understanding TAP equations with a new method
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We propose a new iterative construction of solutions of the classical TAP equations for the Sherrington-Kirkpatrick model, i.e. with finite-size Onsager correction. The algorithm c…
math.PR2022
On concavity of TAP free energy in the SK model
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We analyse the Hessian of the Thouless-Anderson-Palmer (TAP) free energy for the Sherrington-Kirkpatrick model, below the de Almeida-Thouless line, evaluated in Bolthausen's approx…