Hessian-guided adaptive collocation sampling for PINNs, backed by a 1D quadrature error bound, achieves lower L2 errors than uniform, residual-based, and gradient-based sampling on two test PDEs.
10´3, 1Le code est disponible sur ce dépôt GitHub. MÉTHODE DE QUADRATURE POUR LES PINNS FONDÉE SUR LA HESSIENNE DES RÉSIDUELS 7 Algorithm 1‹-RAD 1: Fixer ‹Pt “res
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M\'ethode de quadrature pour les PINNs fond\'ee th\'eoriquement sur la hessienne des r\'esiduels
Hessian-guided adaptive collocation sampling for PINNs, backed by a 1D quadrature error bound, achieves lower L2 errors than uniform, residual-based, and gradient-based sampling on two test PDEs.