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The Parisi formula and satisfiability-threshold conjecture for the spherical perceptron
Parisi formula conjecture. For all $(\kappa,\alpha)\in\mathbb{R}\times\mathbb{R}_+$ ,
Conjecturesolvedparisi-formula spherical-perceptron spin-glassesarXiv posted 2 days ago
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The variational-principle conjecture for admissible negative-perceptron solutions
Variational-principle conjecture. The variational principle describing the admissible values $(\kappa,M/N)$ and the radius $\bar{q}$ is deeply related to the geometry of the soluti…
Conjectureopenrandom-optimization spherical-perceptron spin-glassesarXiv posted 2 days ago

The Parisi formula and satisfiability-threshold conjecture for the spherical perceptron