The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
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The Legendre structure of the TAP complexity for the Ising spin glass
The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.