# Shallow Water Equations Simulation on SWE

Source: [Shallow Water Equations Simulation on SWE](<https://www.sota2.com/research/sota/shallow-water-equations-simulation-on-swe>)

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

Data updated: 2026-05-19T11:57:59.878Z

Evaluation of models simulating the Shallow Water Equations (SWE) using Base Loss and Sobolev metrics.

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 | Shallow Water Equations Simulation |
| Dataset (including any stated split) | SWE |
| Metric | Base Loss |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 29 of 29 |
| 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

- [Base Loss](<https://www.sota2.com/research/sota/shallow-water-equations-simulation-on-swe.md?metric=Base%20Loss>): Lower is better; unit: SCALAR.

- [Sobolev Metric](<https://www.sota2.com/research/sota/shallow-water-equations-simulation-on-swe.md?metric=Sobolev%20Metric>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Base Loss | Result date | Report paper |
| --- | --- | --- | --- |
| Origin | 0 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours\* | 17.22 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SVD-LLM V2 | 45.31 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SAES-SVD | 56.51 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours | 70.33 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours\* | 71.55 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Dobi-SVD | 244.7 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours | 259.6 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SAES-SVD | 278.2 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours\* | 285.3 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| FWSVD | 288.2 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SVD-LLM V2 | 297.9 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| ASVD | 531.6 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SAES-SVD | 1114 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours | 1188 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SVD-LLM V2 | 1251 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours\* | 1299 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| FWSVD | 1311 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Dobi-SVD | 1851 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SVD-LLM V2 | 3203 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| SAES-SVD | 3308 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| ASVD | 4836 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Ours | 5488 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| ASVD | 7345 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| FWSVD | 12771 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Dobi-SVD | 17117 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| ASVD | 19920 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| Dobi-SVD | 27218 | Not recorded | 6a0beecddbc836b87d82c6d2 |
| FWSVD | 29702 | Not recorded | 6a0beecddbc836b87d82c6d2 |

### Origin

Base Loss: 0. Result ID: 6a0c5044fbc373592c0390f3.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"1"}. This record does not assert independent reproduction.

### Ours\*

Base Loss: 17.22. Result ID: 6a0c5044fbc373592c0390fa.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### SVD-LLM V2

Base Loss: 45.31. Result ID: 6a0c5044fbc373592c0390f6.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77741e209131cea73322.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### SAES-SVD

Base Loss: 56.51. Result ID: 6a0c5044fbc373592c0390f8.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### Ours

Base Loss: 70.33. Result ID: 6a0c5044fbc373592c0390f9.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### Ours\*

Base Loss: 71.55. Result ID: 6a0c5044fbc373592c039101.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### Dobi-SVD

Base Loss: 244.7. Result ID: 6a0c5044fbc373592c0390f7.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa76d11e209131cea6f3fc.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### Ours

Base Loss: 259.6. Result ID: 6a0c5044fbc373592c039100.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### SAES-SVD

Base Loss: 278.2. Result ID: 6a0c5044fbc373592c0390ff.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### Ours\*

Base Loss: 285.3. Result ID: 6a0c5044fbc373592c039108.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### FWSVD

Base Loss: 288.2. Result ID: 6a0c5044fbc373592c0390f5.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ce11e209131cea36709.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### SVD-LLM V2

Base Loss: 297.9. Result ID: 6a0c5044fbc373592c0390fd.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77741e209131cea73322.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### ASVD

Base Loss: 531.6. Result ID: 6a0c5044fbc373592c0390f4.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7afa1e209131cea86129.md>)

Recorded evaluation configuration: {"MPP":"0.8"}. This record does not assert independent reproduction.

### SAES-SVD

Base Loss: 1114. Result ID: 6a0c5044fbc373592c039106.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### Ours

Base Loss: 1188. Result ID: 6a0c5044fbc373592c039107.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### SVD-LLM V2

Base Loss: 1251. Result ID: 6a0c5044fbc373592c039104.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77741e209131cea73322.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### Ours\*

Base Loss: 1299. Result ID: 6a0c5044fbc373592c03910f.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### FWSVD

Base Loss: 1311. Result ID: 6a0c5044fbc373592c0390fc.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ce11e209131cea36709.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### Dobi-SVD

Base Loss: 1851. Result ID: 6a0c5044fbc373592c0390fe.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa76d11e209131cea6f3fc.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### SVD-LLM V2

Base Loss: 3203. Result ID: 6a0c5044fbc373592c03910b.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77741e209131cea73322.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### SAES-SVD

Base Loss: 3308. Result ID: 6a0c5044fbc373592c03910d.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### ASVD

Base Loss: 4836. Result ID: 6a0c5044fbc373592c0390fb.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7afa1e209131cea86129.md>)

Recorded evaluation configuration: {"MPP":"0.6"}. This record does not assert independent reproduction.

### Ours

Base Loss: 5488. Result ID: 6a0c5044fbc373592c03910e.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### ASVD

Base Loss: 7345. Result ID: 6a0c5044fbc373592c039102.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7afa1e209131cea86129.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### FWSVD

Base Loss: 12771. Result ID: 6a0c5044fbc373592c039103.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ce11e209131cea36709.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### Dobi-SVD

Base Loss: 17117. Result ID: 6a0c5044fbc373592c039105.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa76d11e209131cea6f3fc.md>)

Recorded evaluation configuration: {"MPP":"0.4"}. This record does not assert independent reproduction.

### ASVD

Base Loss: 19920. Result ID: 6a0c5044fbc373592c039109.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7afa1e209131cea86129.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### Dobi-SVD

Base Loss: 27218. Result ID: 6a0c5044fbc373592c03910c.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa76d11e209131cea6f3fc.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

### FWSVD

Base Loss: 29702. Result ID: 6a0c5044fbc373592c03910a.

[Reporting paper](<https://www.sota2.com/research/paper/6a0beecddbc836b87d82c6d2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ce11e209131cea36709.md>)

Recorded evaluation configuration: {"MPP":"0.2"}. This record does not assert independent reproduction.

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