# Operator Learning on MFC g-parameter family (OOD)

Source: [Operator Learning on MFC g-parameter family (OOD)](<https://www.sota2.com/research/sota/operator-learning-on-mfc-g-parameter-family-ood>)

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

Data updated: 2026-06-11T11:26:57.362Z

Evaluation of models performing Operator Learning on the MFC g-parameter family dataset, focusing on Out-of-Distribution (OOD) generalization, typically measured using Mean 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 | Operator Learning |
| Dataset (including any stated split) | MFC g-parameter family (OOD) |
| Metric | Mean relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| 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

- [Mean relative L2 Error](<https://www.sota2.com/research/sota/operator-learning-on-mfc-g-parameter-family-ood.md?metric=Mean%20relative%20L2%20Error>): Lower is better; unit: SCALAR.

- [Reduction](<https://www.sota2.com/research/sota/operator-learning-on-mfc-g-parameter-family-ood.md?metric=Reduction>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Mean relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| CHOP | 0.006 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0156 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0157 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.028 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0281 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0314 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0334 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0364 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0447 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0536 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.1074 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.1082 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.1097 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.1542 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.2379 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.3095 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.3219 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.7627 | Not recorded | 6a2a4153d33dfb23e783958d |

### CHOP

Mean relative L2 Error: 0.006. Result ID: 6a2a99e8fbc373592c28d22e.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.5","Evolution task":true}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0156. Result ID: 6a2a99e8fbc373592c28d230.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0157. Result ID: 6a2a99e8fbc373592c28d222.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.5","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.028. Result ID: 6a2a99e8fbc373592c28d228.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.5","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.0281. Result ID: 6a2a99e8fbc373592c28d221.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.5","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.0314. Result ID: 6a2a99e8fbc373592c28d22d.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.5","Evolution task":true}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0334. Result ID: 6a2a99e8fbc373592c28d22a.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0364. Result ID: 6a2a99e8fbc373592c28d224.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0447. Result ID: 6a2a99e8fbc373592c28d232.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.0536. Result ID: 6a2a99e8fbc373592c28d22c.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.1074. Result ID: 6a2a99e8fbc373592c28d22f.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### CHOP

Mean relative L2 Error: 0.1082. Result ID: 6a2a99e8fbc373592c28d226.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.1097. Result ID: 6a2a99e8fbc373592c28d227.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.5","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.1542. Result ID: 6a2a99e8fbc373592c28d229.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.2379. Result ID: 6a2a99e8fbc373592c28d223.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.3","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.3095. Result ID: 6a2a99e8fbc373592c28d231.

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

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

Recorded evaluation configuration: {"Operator task index":"(2, 2)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.3219. Result ID: 6a2a99e8fbc373592c28d22b.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 2)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

### Raw ICON

Mean relative L2 Error: 0.7627. Result ID: 6a2a99e8fbc373592c28d225.

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

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

Recorded evaluation configuration: {"Operator task index":"(1, 1)","Length scale l":"0.1","Evolution task":false}. This record does not assert independent reproduction.

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