2 papers
math.NA2026
Riemannian optimization on low-rank tensor train manifolds for the Gross-Pitaevskii equation
Ivan Bioli, Carlo Marcati, Maxim Rakhuba
This work is concerned with the numerical computation of Gross-Pitaevskii ground states using the tensor train (TT) format. We regard the problem as the minimization of the Gross-P…
math.NA2025
Accelerating Natural Gradient Descent for PINNs with Randomized Numerical Linear Algebra
Ivan Bioli, Carlo Marcati, Giancarlo Sangalli
Natural Gradient Descent (NGD) has emerged as a promising optimization algorithm for training neural network-based solvers for partial differential equations (PDEs), such as Physic…