Mechanism confirmed, baseline not beaten
2026
Resolution-aware operator data budget
Couple the number of operator training pairs to the output resolution instead of increasing the output grid independently. Refine the output discretization only while the oracle reconstruction improves, and increase the training set when the learned predictor remains substantially worse than the oracle decoder.
Paper: Kernel-based Operator Learning: Error Analysis, Budget Allocation, and a Physics-Informed Extension
arXiv:2607.06287