# Operator Learning on PDEBench CNS (η=1, ζ=0.01) Source: [Operator Learning on PDEBench CNS (η=1, ζ=0.01)]() Collection index: [llms.txt]() Data updated: 2026-05-18T08:19:40.524Z Evaluation of models performing Operator Learning on the PDEBench CNS dataset subset, using parameters η=1 and ζ=0.01, typically measured by L2RE. A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. | Scope | Recorded value | | --- | --- | | Task | Operator Learning | | Dataset (including any stated split) | PDEBench CNS (η=1, ζ=0.01) | | Metric | L2RE | | Unit | PERCENT | | Direction | Lower is better | | Results loaded | 25 of 25 | | Coverage | All results currently returned for this benchmark | Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol. ## Metrics - [L2RE](): Lower is better; unit: PERCENT. ## Recorded results | Method | L2RE | Result date | Report paper | | --- | --- | --- | --- | | AOT-POT-S | 0.491 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | AOT-POT-T | 0.655 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | AOT-POT-M | 0.943 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-M | 1.41 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-M | 1.46 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-S | 1.61 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-S | 1.67 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | AOT-POT-M | 1.68 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-T | 1.85 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-T | 1.95 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | AOT-POT-S | 2.04 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-M | 2.26 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-M | 2.38 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | AOT-POT-T | 2.8 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-S | 3.23 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-S | 3.37 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | GK-T | 3.77 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | MoE-POT-T | 3.95 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | DPOT-T | 3.97 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | GNOT | 4.2 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | FFNO | 5.2 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | Oformer | 6.25 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | FNO | 9.6 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | FNO-m | 10.8 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | | UNet | 29.1 | Not recorded | 6a0a9ce7dbc836b87d82b2a5 | ### AOT-POT-S L2RE: 0.491. Result ID: 6a0acb9447f34ce924f0da52. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"31M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### AOT-POT-T L2RE: 0.655. Result ID: 6a0acb9447f34ce924f0da51. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"7M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### AOT-POT-M L2RE: 0.943. Result ID: 6a0acb9447f34ce924f0da53. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"124M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### MoE-POT-M L2RE: 1.41. Result ID: 6a0acb9447f34ce924f0da50. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"288M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### DPOT-M L2RE: 1.46. Result ID: 6a0acb9447f34ce924f0da4d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"122M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### MoE-POT-S L2RE: 1.61. Result ID: 6a0acb9447f34ce924f0da4f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"90M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### DPOT-S L2RE: 1.67. Result ID: 6a0acb9447f34ce924f0da4c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"30M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### AOT-POT-M L2RE: 1.68. Result ID: 6a0acb9447f34ce924f0da4a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"124M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### MoE-POT-T L2RE: 1.85. Result ID: 6a0acb9447f34ce924f0da4e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"17M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### DPOT-T L2RE: 1.95. Result ID: 6a0acb9447f34ce924f0da4b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"7M","Evaluation Protocol":"Fine-tuned"}. This record does not assert independent reproduction. ### AOT-POT-S L2RE: 2.04. Result ID: 6a0acb9447f34ce924f0da49. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"31M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### MoE-POT-M L2RE: 2.26. Result ID: 6a0acb9447f34ce924f0da47. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"288M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### DPOT-M L2RE: 2.38. Result ID: 6a0acb9447f34ce924f0da44. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"122M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### AOT-POT-T L2RE: 2.8. Result ID: 6a0acb9447f34ce924f0da48. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"7M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### MoE-POT-S L2RE: 3.23. Result ID: 6a0acb9447f34ce924f0da46. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"90M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### DPOT-S L2RE: 3.37. Result ID: 6a0acb9447f34ce924f0da43. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"30M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### GK-T L2RE: 3.77. Result ID: 6a0acb9447f34ce924f0da3e. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Params":"1.6M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. ### MoE-POT-T L2RE: 3.95. Result ID: 6a0acb9447f34ce924f0da45. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"17M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### DPOT-T L2RE: 3.97. Result ID: 6a0acb9447f34ce924f0da42. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"7M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### GNOT L2RE: 4.2. Result ID: 6a0acb9447f34ce924f0da3f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"1.8M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. ### FFNO L2RE: 5.2. Result ID: 6a0acb9447f34ce924f0da3d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"1.3M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. ### Oformer L2RE: 6.25. Result ID: 6a0acb9447f34ce924f0da40. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"1.9M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. ### FNO L2RE: 9.6. Result ID: 6a0acb9447f34ce924f0da3b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"0.5M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. ### FNO-m L2RE: 10.8. Result ID: 6a0acb9447f34ce924f0da41. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Params":"7M","Evaluation Protocol":"Zero-shot"}. This record does not assert independent reproduction. ### UNet L2RE: 29.1. Result ID: 6a0acb9447f34ce924f0da3c. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Params":"25M","Evaluation Protocol":"Individually trained"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.