18 citations · 18 across the 1 of their papers we have counts for
3 papers
Stochastic gradient descent in high dimensions for multi-spiked tensor PCA
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo
We study the high-dimensional dynamics of online stochastic gradient descent (SGD) for the multi-spiked tensor model. This multi-index model arises from the tensor principal compon…
Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo
We study nonconvex optimization in high dimensions through Langevin dynamics, focusing on the multi-spiked tensor PCA problem. In this tensor estimation model, the goal is to recov…
Capillary levelling of free-standing liquid nanofilms
Mark Ilton, Miles M. P. Couchman, Cedric Gerbelot +6
We report on the capillary-driven levelling of a topographical perturbation at the surface of a free-standing liquid nanofilm. The width of a stepped surface profile is found to ev…