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Shao-Wu Pan

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#artificial intelligence Preprint Sep 2026

SMORE: Stability-Promoting Mesh-Agnostic Model Reduction for Time-Dependent PDEs

This work proposes SMORE, a mesh-agnostic framework for model order reduction of time-dependent PDEs, whose latent dynamics are trained with Lyapunov-guided stability regularization, which promotes stable long-horizon rollouts and theoretical guarantees under the stated structural assumptions.

Yang-Yuan Li, Wei-Chao Li, Shao-Wu Pan · 0 citations

Preprint Sep 2026

Deep Koopman Sensing

Deep Koopman Sensing is proposed, a data-driven reduced-order DA framework that combines a nonlinear autoencoder with parameter-conditioned linear latent dynamics approximating the Koopman operator, and shows that latent dynamics should be designed for the downstream estimation task rather than selected solely for fore...

Nithin Somasekharan, Yadi Cao, Shao-Wu Pan · 0 citations