68 citations · 133 across the 8 of their papers we have counts for
3 papers · 1 filter
Bounding flows for spherical spin glass dynamics
Gerard Ben Arous, Reza Gheissari, Aukosh Jagannath
We introduce a new approach to studying spherical spin glass dynamics based on differential inequalities for one-time observables. Using this approach, we obtain an approximate pha…
Algorithmic thresholds for tensor PCA
Gerard Ben Arous, Reza Gheissari, Aukosh Jagannath
We study the algorithmic thresholds for principal component analysis of Gaussian -tensors with a planted rank-one spike, via Langevin dynamics and gradient descent. In order to…
On the Spectral Gap of Spherical Spin Glass Dynamics
Reza Gheissari, Aukosh Jagannath
We consider the time to equilibrium for the Langevin dynamics of the spherical -spin glass model of system size . We show that the log-Sobolev constant and spectral gap are o…