# Regression on Burgers' dataset (test)

Source: [Regression on Burgers' dataset (test)](<https://www.sota2.com/research/sota/regression-on-burgers-dataset-test>)

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

Data updated: 2026-03-10T07:50:28.948Z

Evaluation of Regression performance on the test split of the Burgers dataset, measured using MSE and relative performance reduction 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 | Regression |
| Dataset (including any stated split) | Burgers' dataset (test) |
| Metric | MSE |
| 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

- [MSE](<https://www.sota2.com/research/sota/regression-on-burgers-dataset-test.md?metric=MSE>): Lower is better; unit: SCALAR.

- [Performance Reduction (GGD vs Adam)](<https://www.sota2.com/research/sota/regression-on-burgers-dataset-test.md?metric=Performance%20Reduction%20(GGD%20vs%20Adam)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| GGD | 0.00018 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.000213 | Not recorded | 69afa57e2d603e6de3e439d7 |
| GGD | 0.000229 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.000303 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.000447 | Not recorded | 69afa57e2d603e6de3e439d7 |
| GGD | 0.000567 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.000883 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.00107 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.0012 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.0016 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.00204 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.00234 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00261 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.0028 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00307 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00313 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.00374 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.00388 | Not recorded | 69afa57e2d603e6de3e439d7 |

### GGD

MSE: 0.00018. Result ID: 69afccef6dbb7075b957e381.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### Muon

MSE: 0.000213. Result ID: 69afccef6dbb7075b957e37f.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### GGD

MSE: 0.000229. Result ID: 69afccef6dbb7075b957e37b.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### Adam

MSE: 0.000303. Result ID: 69afccef6dbb7075b957e37e.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63171e209131ce9fca0b.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### Adam

MSE: 0.000447. Result ID: 69afccef6dbb7075b957e378.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63171e209131ce9fca0b.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### GGD

MSE: 0.000567. Result ID: 69afccef6dbb7075b957e387.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

### Adam

MSE: 0.000883. Result ID: 69afccef6dbb7075b957e384.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63171e209131ce9fca0b.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

### Muon

MSE: 0.00107. Result ID: 69afccef6dbb7075b957e379.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### SGDM

MSE: 0.0012. Result ID: 69afccef6dbb7075b957e37d.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### SGDM

MSE: 0.0016. Result ID: 69afccef6dbb7075b957e377.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### SGD

MSE: 0.00204. Result ID: 69afccef6dbb7075b957e37c.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### Muon

MSE: 0.00234. Result ID: 69afccef6dbb7075b957e385.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

### SSGD

MSE: 0.00261. Result ID: 69afccef6dbb7075b957e37a.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78f01e209131cea7b510.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### SGD

MSE: 0.0028. Result ID: 69afccef6dbb7075b957e376.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_1","Structures":"3,6,1"}. This record does not assert independent reproduction.

### SSGD

MSE: 0.00307. Result ID: 69afccef6dbb7075b957e380.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78f01e209131cea7b510.md>)

Recorded evaluation configuration: {"Nets":"FCN\_2","Structures":"3,4,6,4,1"}. This record does not assert independent reproduction.

### SSGD

MSE: 0.00313. Result ID: 69afccef6dbb7075b957e386.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78f01e209131cea7b510.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

### SGD

MSE: 0.00374. Result ID: 69afccef6dbb7075b957e382.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

### SGDM

MSE: 0.00388. Result ID: 69afccef6dbb7075b957e383.

[Reporting paper](<https://www.sota2.com/research/paper/69afa57e2d603e6de3e439d7.md>)

Recorded evaluation configuration: {"Nets":"FCN\_3","Structures":"3,10\*10,1"}. This record does not assert independent reproduction.

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