130 citations · 209 across the 59 of their papers we have counts for
7 papers · 2 filters
Mean square displacement of Brownian paths perturbed by bounded pair potentials
Volker Betz, Tobias Schmidt, Mark Sellke
We study Brownian paths perturbed by semibounded pair potentials and prove upper bounds on the mean square displacement. As a technical tool we derive infinite dimensional versions…
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…
Sampling from Mean-Field Gibbs Measures via Diffusion Processes
Ahmed El Alaoui, Andrea Montanari, Mark Sellke
We consider Ising mixed -spin glasses at high-temperature and without external field, and study the problem of sampling from the Gibbs distribution in polynomial time. We de…
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…
Shattering in Pure Spherical Spin Glasses
Ahmed El Alaoui, Andrea Montanari, Mark Sellke
We prove the existence of a shattered phase within the replica-symmetric phase of the pure spherical -spin models for sufficiently large. In this phase, we construct a decom…
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…