3 citations · 3 across the 4 of their papers we have counts for
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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…
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…
A theoretical study on the effect of mass lumping on the discrete frequencies in immersogeometric analysis
Ivan Bioli, Yannis Voet
In structural dynamics, mass lumping techniques are commonly employed for improving the efficiency of explicit time integration schemes and increasing their critical time step cons…
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations
Ivan Bioli, Daniel Kressner, Leonardo Robol
This work is concerned with the numerical solution of large-scale symmetric positive definite matrix equations of the form $A_1XB_1^\top + A_2XB_2^\top + \dots + A_\ell X B_\ell^\t…