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Author

Kookjin Lee

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#machine learning Preprint Oct 2026

F$^3$NO: Frequency-Decomposed Finite-Time Flow-map Neural Operators with Cross-Scale Conditioning

Neural operators enable fast PDE forecasting, but repeated predictions accumulate errors and fine-scale structures remain difficult to resolve. We introduce a frequency-decomposed finite-time flow-map neural operator (F$^3$NO) that leverages updated low-frequency features to guide nonlinear refinement of high-frequency...

Fan Wu, Cheng Jing, Kookjin Lee · 0 citations
Preprint Aug 2026

Physics-Informed Foresight Pruning for Sparse PINN Solvers of Nonlinear PDEs

Small-batch PINN-NTK diagnostics further show that residual fidelity, solution accuracy, and kernel conditioning are distinct objectives, motivating pruning methods that explicitly balance solution-side and residual-side training dynamics during optimization.

A. Karimi, Uvini Balasuriya Mudiyanselage, Kookjin Lee · 0 citations

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