2 papers
cs.LG2026
Perturbative-NeuSA: A Structured Spectral Framework for Time-Dependent PDEs
Xianli Zhu, Jia Yin
Neural spectral PDE solvers often learn an entire unresolved vector field even when an inexpensive approximate model can already capture most of the trajectory. Here we introduce P…
cs.LG2026
ZNO: Stable Rational Neural Operators in the Z-Domain for Discrete-Time Dynamics
Xianli Zhu, Jia Yin
We introduce the Z-Domain Neural Operator (ZNO), a causal neural operator whose layers are stable low-rank multiple-input multiple-output (MIMO) rational filters parameterized dire…