2 papers
math.DS2022
Deep Linear Networks for Matrix Completion -- An Infinite Depth Limit
Nadav Cohen, Govind Menon, Zsolt Veraszto
The deep linear network (DLN) is a model for implicit regularization in gradient based optimization of overparametrized learning architectures. Training the DLN corresponds to a Ri…
math.DS2019
Explicit Third-Order Model Reduction Formulas for General Nonlinear Mechanical Systems
Zsolt Veraszto, Sten Ponsioen, George Haller
For general nonlinear mechanical systems, we derive closed-form, reduced-order models up to cubic order based on rigorous invariant manifold results. For conservative systems, the…