TAP equations are repulsive

نویسندگان

چکیده

We show that for low enough temperatures, but still above the AT line, Jacobian of TAP equations SK model has a macroscopic fraction eigenvalues outside unit interval. This provides simple explanation numerical instability fixed points, which thus occurs already in high temperature. The insight leads to some algorithmic considerations on temperature regime.

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ژورنال

عنوان ژورنال: Electronic Communications in Probability

سال: 2022

ISSN: ['1083-589X']

DOI: https://doi.org/10.1214/22-ecp505