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

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

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

Data updated: 2026-06-11T11:26:57.407Z

Evaluation of Operator Learning models on the MFC rho-parameter family dataset under Out-of-Distribution (OOD) conditions, typically measured using Mean relative L2 error.

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 rho-parameter family (OOD) |
| Metric | Mean Relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 12 of 12 |
| 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-rho-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-rho-parameter-family-ood.md?metric=Reduction%20(%25)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Mean Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| Raw ICON | 0.004 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.004 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0046 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0046 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0046 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0046 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.07 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.07 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0747 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0754 | Not recorded | 6a2a4153d33dfb23e783958d |
| Raw ICON | 0.0795 | Not recorded | 6a2a4153d33dfb23e783958d |
| CHOP | 0.0809 | Not recorded | 6a2a4153d33dfb23e783958d |

### Raw ICON

Mean Relative L2 Error: 0.004. Result ID: 6a2a99e8fbc373592c28d237.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.004. Result ID: 6a2a99e8fbc373592c28d238.

[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"}. This record does not assert independent reproduction.

### Raw ICON

Mean Relative L2 Error: 0.0046. Result ID: 6a2a99e8fbc373592c28d233.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.0046. Result ID: 6a2a99e8fbc373592c28d234.

[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"}. This record does not assert independent reproduction.

### Raw ICON

Mean Relative L2 Error: 0.0046. Result ID: 6a2a99e8fbc373592c28d235.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.0046. Result ID: 6a2a99e8fbc373592c28d236.

[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"}. This record does not assert independent reproduction.

### Raw ICON

Mean Relative L2 Error: 0.07. Result ID: 6a2a99e8fbc373592c28d23d.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.07. Result ID: 6a2a99e8fbc373592c28d23e.

[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"}. This record does not assert independent reproduction.

### Raw ICON

Mean Relative L2 Error: 0.0747. Result ID: 6a2a99e8fbc373592c28d23b.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.0754. Result ID: 6a2a99e8fbc373592c28d23c.

[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"}. This record does not assert independent reproduction.

### Raw ICON

Mean Relative L2 Error: 0.0795. Result ID: 6a2a99e8fbc373592c28d239.

[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"}. This record does not assert independent reproduction.

### CHOP

Mean Relative L2 Error: 0.0809. Result ID: 6a2a99e8fbc373592c28d23a.

[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"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
