gmres 1machine learning 1newton's method 1parameterized pdes 1reduced-order modeling 1surrogate modeling 1
From the 1 of 2 linked papers with an AI index.
2 papers
stat.ML2026
Conformal risk control for model-form uncertainty in parametric non-intrusive reduced-order models
Edgar Jaber, Rémy Vallot, Rémy Vallot +2
Non-intrusive reduced-order models (NIROMs) have become a standard tool for approximating parametric partial differential equations from computer design of experiments while signif…
cs.LG2026
Learning features from Newton's algorithm: a way to accelerate nonlinear parametrized PDE solvers
Rémy Vallot, Florian de Vuyst, Thibault Dairay +1
The paper introduces a two‑stage method that learns features from precomputed Newton trajectories to predict a surrogate solution and then apply a cheap corrective step, providing…