# Spatiotemporal forecasting on N-body MNIST

Source: [Spatiotemporal forecasting on N-body MNIST](<https://www.sota2.com/research/sota/spatiotemporal-forecasting-on-n-body-mnist>)

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

Data updated: 2026-02-26T05:50:41.295Z

Evaluation of spatiotemporal forecasting performance on the N-body MNIST dataset, typically assessed using metrics like MSE, MAE, and SSIM.

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 | Spatiotemporal forecasting |
| Dataset (including any stated split) | N-body MNIST |
| Metric | MSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 8 of 8 |
| 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/spatiotemporal-forecasting-on-n-body-mnist.md?metric=MSE>): Lower is better; unit: SCALAR.

- [MAE](<https://www.sota2.com/research/sota/spatiotemporal-forecasting-on-n-body-mnist.md?metric=MAE>): Lower is better; unit: SCALAR.

- [SSIM](<https://www.sota2.com/research/sota/spatiotemporal-forecasting-on-n-body-mnist.md?metric=SSIM>): Higher is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| Earthformer | 14.82 | Not recorded | 68fa6eb01e209131cea417fe |
| Earthformer w/o global | 15.89 | Not recorded | 68fa6eb01e209131cea417fe |
| PredRNN | 21.76 | Not recorded | 68fa6eb01e209131cea417fe |
| E3D-LSTM | 22.98 | Not recorded | 68fa6eb01e209131cea417fe |
| PhyDNet | 28.97 | Not recorded | 68fa6eb01e209131cea417fe |
| ConvLSTM | 32.15 | Not recorded | 68fa6eb01e209131cea417fe |
| Rainformer | 38.89 | Not recorded | 68fa6eb01e209131cea417fe |
| UNet | 38.9 | Not recorded | 68fa6eb01e209131cea417fe |

### Earthformer

MSE: 14.82. Result ID: 699051663a6c314849ffaf2e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

Recorded evaluation configuration: {"#Param. (M)":"7.6","GFLOPS":"34.0"}. This record does not assert independent reproduction.

### Earthformer w/o global

MSE: 15.89. Result ID: 699051663a6c314849ffaf2d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

Recorded evaluation configuration: {"#Param. (M)":"6.6","GFLOPS":"33.7"}. This record does not assert independent reproduction.

### PredRNN

MSE: 21.76. Result ID: 699051663a6c314849ffaf29.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6c401e209131cea33039.md>)

[Implementation](<https://github.com/thuml/predrnn-pytorch>)

Recorded evaluation configuration: {"#Param. (M)":"23.8","GFLOPS":"232.0"}. This record does not assert independent reproduction.

### E3D-LSTM

MSE: 22.98. Result ID: 699051663a6c314849ffaf2b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

Recorded evaluation configuration: {"#Param. (M)":"12.9","GFLOPS":"302.0"}. This record does not assert independent reproduction.

### PhyDNet

MSE: 28.97. Result ID: 699051663a6c314849ffaf2a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67351e209131cea14bff.md>)

[Implementation](<https://github.com/vincent-leguen/PhyDNet>)

Recorded evaluation configuration: {"#Param. (M)":"3.1","GFLOPS":"15.3"}. This record does not assert independent reproduction.

### ConvLSTM

MSE: 32.15. Result ID: 699051663a6c314849ffaf28.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62181e209131ce9f78df.md>)

Recorded evaluation configuration: {"#Param. (M)":"14.0","GFLOPS":"30.1"}. This record does not assert independent reproduction.

### Rainformer

MSE: 38.89. Result ID: 699051663a6c314849ffaf2c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

Recorded evaluation configuration: {"#Param. (M)":"19.2","GFLOPS":"1.2"}. This record does not assert independent reproduction.

### UNet

MSE: 38.9. Result ID: 699051663a6c314849ffaf27.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6eb01e209131cea417fe.md>)

Recorded evaluation configuration: {"#Param. (M)":"16.6","GFLOPS":"0.9"}. This record does not assert independent reproduction.

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