4 papers
Fast Stochastic Second-Order Adagrad for Nonconvex Bound-Constrained Optimization
S. Bellavia, S. Gratton, B. Morini +1
ADAGB2, a generalization of the Adagrad algorithm for stochastic optimization is introduced, which is also applicable to bound-constrained problems and capable of using second-orde…
Lipschitz bounds for integral kernels
Justin Reverdi, Sixin Zhang, Fabrice Gamboa +1
Feature maps associated with positive definite kernels play a central role in kernel methods and learning theory, where regularity properties such as Lipschitz continuity are close…
Toward an Operational GNN-Based Multimesh Surrogate for Fast Flood Forecasting
Valentin Mercier, Serge Gratton, Lapeyre Corentin +1
Operational flood forecasting still relies on high-fidelity two-dimensional hydraulic solvers, but their runtime can be prohibitive for rapid decision support on large urban floodp…
Multi-Preconditioned LBFGS for Training Finite-Basis PINNs
Marc Salvadó-Benasco, Aymane Kssim, Alexander Heinlein +3
A multi-preconditioned LBFGS (MP-LBFGS) algorithm is introduced for training finite-basis physics-informed neural networks (FBPINNs). The algorithm is motivated by the nonlinear ad…