PDE-DKL: PDE-constrained deep kernel learning in high dimensionality

• Main Authors: Yan, Weihao, Brune, Christoph, Guo, Mengwu
• Format: Journal Article
• Language: English
• Published: 30.01.2025
• Subjects: Computer Science - Artificial Intelligence; Computer Science - Learning; Statistics - Machine Learning
• DOI: 10.48550/arxiv.2501.18258

Many physics-informed machine learning methods for PDE-based problems rely on Gaussian processes (GPs) or neural networks (NNs). However, both face limitations when data are scarce and the dimensionality is high. Although GPs are known for their robust uncertainty quantification in low-dimensional s...