# Regression on Burgers' dataset (train)

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

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

Data updated: 2026-03-10T07:50:28.914Z

Evaluation of model performance on the training split of the Burgers' dataset for the general Regression task, measured using MSE and a reduction metric comparing GGD vs Adam.

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 (train) |
| 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-train.md?metric=MSE>): Lower is better; unit: SCALAR.

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

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| GGD | 5.12e-7 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.000002 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.0000173 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.0000188 | Not recorded | 69afa57e2d603e6de3e439d7 |
| GGD | 0.0000191 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.0000431 | Not recorded | 69afa57e2d603e6de3e439d7 |
| GGD | 0.0001 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Adam | 0.000137 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.000427 | Not recorded | 69afa57e2d603e6de3e439d7 |
| Muon | 0.00046 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.00064 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00119 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.00127 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.00147 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00181 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGD | 0.00183 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SSGD | 0.00227 | Not recorded | 69afa57e2d603e6de3e439d7 |
| SGDM | 0.00923 | Not recorded | 69afa57e2d603e6de3e439d7 |

### GGD

MSE: 5.12e-7. Result ID: 69afccef6dbb7075b957e375.

[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: 0.000002. Result ID: 69afccef6dbb7075b957e372.

[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: 0.0000173. Result ID: 69afccef6dbb7075b957e373.

[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.

### Adam

MSE: 0.0000188. Result ID: 69afccef6dbb7075b957e36c.

[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.

### GGD

MSE: 0.0000191. Result ID: 69afccef6dbb7075b957e36f.

[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: 0.0000431. Result ID: 69afccef6dbb7075b957e36d.

[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: 0.0001. Result ID: 69afccef6dbb7075b957e369.

[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: 0.000137. Result ID: 69afccef6dbb7075b957e366.

[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.

### SGDM

MSE: 0.000427. Result ID: 69afccef6dbb7075b957e371.

[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.

### Muon

MSE: 0.00046. Result ID: 69afccef6dbb7075b957e367.

[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: 0.00064. Result ID: 69afccef6dbb7075b957e36b.

[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.

### SSGD

MSE: 0.00119. Result ID: 69afccef6dbb7075b957e374.

[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: 0.00127. Result ID: 69afccef6dbb7075b957e370.

[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.

### SGD

MSE: 0.00147. Result ID: 69afccef6dbb7075b957e36a.

[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.

### SSGD

MSE: 0.00181. Result ID: 69afccef6dbb7075b957e368.

[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: 0.00183. Result ID: 69afccef6dbb7075b957e364.

[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: 0.00227. Result ID: 69afccef6dbb7075b957e36e.

[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.

### SGDM

MSE: 0.00923. Result ID: 69afccef6dbb7075b957e365.

[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.

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