arXiv AI August 3, 2026 By Jiaquan Zhang, Shuxu Chen, Haifan Meng, Yi Lu, Zhihan Lyu, Fan Mo, Wei Dong, Yang Yang, Chaoning Zhang

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

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arXiv:2607. 29135v1 Announce Type: cross Abstract: Neural operators provide fast surrogates for time-dependent partial differential equations (PDEs) by applying a learned evolution operator recursively to its own predictions, but this autoregressive rollout feeds every prediction error back as input, so local errors accumulate.

Summary generated by The Flow from the publisher's feed. The full article lives at arXiv AI.

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