44 citations · 162 across the 10 of their papers we have counts for
3 papers · 1 filter
Weighted reduced order methods for parametrized partial differential equations with random inputs
Luca Venturi, Davide Torlo, Francesco Ballarin +1
In this manuscript we discuss weighted reduced order methods for stochastic partial differential equations. Random inputs (such as forcing terms, equation coefficients, boundary co…
A Weighted POD Method for Elliptic PDEs with Random Inputs
Luca Venturi, Francesco Ballarin, Gianluigi Rozza
In this work we propose and analyze a weighted proper orthogonal decomposition method to solve elliptic partial differential equations depending on random input data, for stochasti…
Spurious Valleys in Two-layer Neural Network Optimization Landscapes
Luca Venturi, Afonso S. Bandeira, Joan Bruna
Neural networks provide a rich class of high-dimensional, non-convex optimization problems. Despite their non-convexity, gradient-descent methods often successfully optimize these…