13 citations · 42 across the 23 of their papers we have counts for
4 papers · 1 filter
A Constructive Proof of the Spherical Parisi Formula
Brice Huang, Mark Sellke
The Parisi formula for the free energy is among the crown jewels in the theory of spin glasses. We present a simpler proof of the lower bound in the case of the spherical mean-fiel…
Strong Topological Trivialization of Multi-Species Spherical Spin Glasses
Brice Huang, Mark Sellke
We study the landscapes of multi-species spherical spin glasses. Our results determine the phase boundary for annealed trivialization of the number of critical points, and establis…
Optimization Algorithms for Multi-Species Spherical Spin Glasses
Brice Huang, Mark Sellke
This paper develops approximate message passing algorithms to optimize multi-species spherical spin glasses. We first show how to efficiently achieve the algorithmic threshold ener…
Algorithmic Threshold for Multi-Species Spherical Spin Glasses
Brice Huang, Mark Sellke
We study efficient optimization of the Hamiltonians of multi-species spherical spin glasses. Our results characterize the maximum value attained by algorithms that are suitably Lip…