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Paper · arXiv

Gradient-Informed Temporal Sampling Improves Rollout Accuracy in PDE Surrogate Training

Researchers train neural simulators on uniformly sampled numerical simulation data. But under the same budget, does systematically sampled data provide the most effective information? A fundamental yet unformalized problem is how to sample training data for neural simulators so as to maximize rollout accuracy. Existing data sampling methods either tend to collapse into locally high-information-density regions, or preserve diversity but remain insufficiently model-specific, often leading to performance that is no better than uniform sampling. To address this, we propose a data sampling method tailored to neural simulators, Gradient-Informed Temporal Sampling (GITS). GITS jointly optimizes ...

AuthorsWenshuo Wang, Fan Zhang
Primary categorycs.LG
Published18 March 2026
Last updated at source18 March 2026
cs.LGcs.AI
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