38 citations · 178 across the 13 of their papers we have counts for
3 papers · 1 filter
On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses
Antonio Auffinger, Ahmed El Alaoui, Mark Sellke
We show that in mean-field spin glasses, a discontinuous breaking of replica symmetry at the critical inverse temperature implies the existence of an intermediate shattered p…
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…
Fundamental limits of detection in the spiked Wigner model
Ahmed El Alaoui, Florent Krzakala, Michael I. Jordan
We study the fundamental limits of detecting the presence of an additive rank-one perturbation, or spike, to a Wigner matrix. When the spike comes from a prior that is i.i.d. acros…