2 papers
stat.ML2025
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…
stat.ML2024
Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA
Gérard Ben Arous, Gérard Ben Arous, Cédric Gerbelot +2
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…