# Conservation-law prediction on Buckley-Leverett out-of-distribution flux function

Source: [Conservation-law prediction on Buckley-Leverett out-of-distribution flux function](<https://www.sota2.com/research/sota/conservation-law-prediction-on-buckley-leverett-out-of-distribution-flux-function>)

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

Data updated: 2026-06-11T11:26:57.542Z

Evaluation of models on predicting conservation-law dynamics using the Buckley-Leverett out-of-distribution flux function dataset, measured by Relative L2 error and Reduction.

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 | Conservation-law prediction |
| Dataset (including any stated split) | Buckley-Leverett out-of-distribution flux function |
| Metric | Relative L2 Error |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 2 of 2 |
| 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

- [Relative L2 Error](<https://www.sota2.com/research/sota/conservation-law-prediction-on-buckley-leverett-out-of-distribution-flux-function.md?metric=Relative%20L2%20Error>): Lower is better; unit: PERCENT.

- [Reduction](<https://www.sota2.com/research/sota/conservation-law-prediction-on-buckley-leverett-out-of-distribution-flux-function.md?metric=Reduction>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| CHOP | 9.51 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 14.18 | Not recorded | 6a2a4153d33dfb23e783958d |

### CHOP

Relative L2 Error: 9.51. Result ID: 6a2a99e8fbc373592c28d244.

[Reporting paper](<https://www.sota2.com/research/paper/6a2a4153d33dfb23e783958d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a2a4153d33dfb23e783958d.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### Raw ICON

Relative L2 Error: 14.18. Result ID: 6a2a99e8fbc373592c28d243.

[Reporting paper](<https://www.sota2.com/research/paper/6a2a4153d33dfb23e783958d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5ae51e209131ce9c3bb3.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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