A unified perspective of Gaussian process approximation for differential equations
Mengwu Guo
math.NA, cs.CE, stat.ML
Submitted: 2026-07-07
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Uncertainty-Aware Diagnostics for Physics-Informed Machine Learning
- Gaussian Processes and Reproducing Kernel Hilbert Spaces: Connections and Equivalences
- Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers
- PDE-DKL: PDE-constrained deep kernel learning in high dimensionality
- Physics-based deep kernel learning for parameter estimation in high dimensional PDEs
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