Author

John Harlim

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Preprint Aug 2026

Diffusion Maps Kernel Ridge Regression

It is proved that the appropriately scaled DM kernel converges uniformly to the heat kernel on the manifold for sufficiently large times as the dataset size increases and the kernel bandwidth is scaled appropriately.

John Harlim, Daning Huang, Jiwoo Song · 2 citations · ⚡1

Review Jun 2026

Learning dynamical systems from noisy data with Weak-form Kernel Ridge Regression

This manuscript gives an overview of the filtering mechanism behind the weak formulation and provides a bias-variance error decomposition, and combines a weak formulation with a kernel learning strategy to propose Weak-form Kernel Ridge Regression (WKRR) for learning dynamical systems.

Max Kreider, John Harlim, Daning Huang · 2 citations · ⚡1