arXiv Machine Learning By Jiabao Zhao, Chuwei Wang, Jinxi Yang

Helix-FNO: Spectral-Domain Operator Learning Coupled with a High-Fidelity Mechanistic Model for Fast Surrogate Simulation

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Helix‑FNO is a teacher‑student framework that couples a 32‑state mechanistic model with a Fourier neural operator to learn the full solution operator for full‑scale treatment processes. The teacher generates a high‑fidelity dataset via Latin‑hypercube sampling and active learning, while the student learns in the spectral domain, enabling generalisation across varying influent profiles, controls, and plant layouts. The resulting operator achieves millisecond inference, three orders of magnitude faster than the mechanistic teacher, and is evaluated against physics‑informed and data‑driven surrogates on accuracy, dataset efficiency, and latency, positioning it on a speed‑accuracy Pareto front.

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arXiv Machine Learning
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arXiv:2606. 06164v1 Announce Type: new Abstract: Physics-informed neural operators (PINOs) aim to learn solution operators for partial differential equations by using the governing physics as supervision, rather than relying solely on paired input-output simulation data.

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On the training of physics-informed neural operators for solving parametric partial differential equations

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