68 citations · 477 across the 37 of their papers we have counts for
4 papers · 1 filter
Statistical thresholds for Tensor PCA
Aukosh Jagannath, Patrick Lopatto, Leo Miolane
We study the statistical limits of testing and estimation for a rank one deformation of a Gaussian random tensor. We compute the sharp thresholds for hypothesis testing and estimat…
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 spin distributions for generic p-spin models
Antonio Auffinger, Aukosh Jagannath
We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial…