Author

Yi Lu

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Preprint Jul 2026

Geometry-aware Incremental Neural Operator for Long-Horizon PDE prediction

A geometry-aware incremental neural operator (GeoIncNO) for stable long-horizon PDE prediction and a mean--fluctuation decoupled reconstruction mechanism, where stable mean structures and dynamic fluctuations are fused separately, and phase correction is applied only to the zero-mean fluctuation component.

Jia-Quan Zhang, Shuxu Chen, Haifan Meng et al. · 0 citations

Jul 2026

HERO: History-Enriched Rollout Training for Long-Horizon Autoregressive Neural Operators

Experiments show that HERO consistently improves long-horizon accuracy, stable rollout length, and out-of-distribution robustness at no inference-time cost, indicating that history-enriched relative supervision is effective for stabilizing long-horizon autoregressive prediction.

Jia-Quan Zhang, Shuxu Chen, Haifan Meng et al. · arXiv.org · 0 citations