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math.PR2020★ 4 cited
Algorithmic pure states for the negative spherical perceptron
Ahmed El Alaoui, Mark Sellke
We consider the spherical perceptron with Gaussian disorder. This is the set of points on the sphere of radius satisfying $\langle g_a , σ\rangle…
math.PR2020
Optimization of Mean-field Spin Glasses
Ahmed El Alaoui, Andrea Montanari, Mark Sellke
Mean-field spin glasses are families of random energy functions (Hamiltonians) on high-dimensional product spaces. In this paper we consider the case of Ising mixed -spin models…