Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks

📰 ArXiv cs.AI

arXiv:2604.05230v1 Announce Type: cross Abstract: Efficient and robust optimization is essential for neural networks, enabling scientific machine learning models to converge rapidly to very high accuracy -- faithfully capturing complex physical behavior governed by differential equations. In this work, we present advanced optimization strategies to accelerate the convergence of physics-informed neural networks (PINNs) for challenging partial (PDEs) and ordinary differential equations (ODEs). Spe

Published 8 Apr 2026

Full Article

Title: Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks

Abstract:
arXiv:2604.05230v1 Announce Type: cross Abstract: Efficient and robust optimization is essential for neural networks, enabling scientific machine learning models to converge rapidly to very high accuracy -- faithfully capturing complex physical behavior governed by differential equations. In this work, we present advanced optimization strategies to accelerate the convergence of physics-informed neural networks (PINNs) for challenging partial (PDEs) and ordinary differential equations (ODEs). Spe
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