# Operator Regression on 2D Burgers' equation resolution 64x64 (t=5s)

Source: [Operator Regression on 2D Burgers' equation resolution 64x64 (t=5s)](<https://www.sota2.com/research/sota/operator-regression-on-2d-burgers-equation-resolution-64x64-t-5s>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:59:55.507Z

Evaluation of Operator Regression models on the 2D Burgers' equation dataset variant specified by 64x64 resolution at time t=5s, typically measured using Root Mean Square Error (RMSE).

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 Regression |
| Dataset (including any stated split) | 2D Burgers' equation resolution 64x64 (t=5s) |
| Metric | RMSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 1 of 1 |
| 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

- [RMSE](<https://www.sota2.com/research/sota/operator-regression-on-2d-burgers-equation-resolution-64x64-t-5s.md?metric=RMSE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | RMSE | Result date | Report paper |
| --- | --- | --- | --- |
| Transducer | 0.0022 | Not recorded | 68fa6f711e209131cea459d1 |

### Transducer

RMSE: 0.0022. Result ID: 6990beae3a6c31484902ee96.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6f711e209131cea459d1.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f711e209131cea459d1.md>)

Recorded evaluation configuration: {"Target Time":"5s","Training Examples":100,"Parameter Conditions":"v in \[0.1, 0.5\]"}. This record does not assert independent reproduction.

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