# Long-term forecasting on ETTm1 (MSE)

Source: [Long-term forecasting on ETTm1 (MSE)](<https://www.sota2.com/research/sota/long-term-forecasting-on-ettm1-mse>)

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

Data updated: 2026-06-16T11:13:23.418Z

Evaluation of models on long-term time series forecasting using the ETTm1 dataset, focusing specifically on the Mean Squared Error (MSE) metric.

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 | Long-term forecasting |
| Dataset (including any stated split) | ETTm1 |
| Metric | MSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 28 of 28 |
| 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/long-term-forecasting-on-ettm1-mse.md?metric=MSE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| PatchTST | 0.292 | Not recorded | 6a30d923d33dfb23e783d36d |
| DLinear | 0.301 | Not recorded | 6a30d923d33dfb23e783d36d |
| FITS | 0.303 | Not recorded | 6a30d923d33dfb23e783d36d |
| PatchTST | 0.33 | Not recorded | 6a30d923d33dfb23e783d36d |
| DLinear | 0.335 | Not recorded | 6a30d923d33dfb23e783d36d |
| FITS | 0.337 | Not recorded | 6a30d923d33dfb23e783d36d |
| TimesNet | 0.338 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-DiffInt | 0.358 | Not recorded | 6a30d923d33dfb23e783d36d |
| FEDformer | 0.362 | Not recorded | 6a30d923d33dfb23e783d36d |
| PatchTST | 0.365 | Not recorded | 6a30d923d33dfb23e783d36d |
| FITS | 0.366 | Not recorded | 6a30d923d33dfb23e783d36d |
| DLinear | 0.371 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-Coh | 0.372 | Not recorded | 6a30d923d33dfb23e783d36d |
| TimesNet | 0.374 | Not recorded | 6a30d923d33dfb23e783d36d |
| FEDformer | 0.393 | Not recorded | 6a30d923d33dfb23e783d36d |
| TimesNet | 0.41 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-DiffInt | 0.413 | Not recorded | 6a30d923d33dfb23e783d36d |
| FITS | 0.415 | Not recorded | 6a30d923d33dfb23e783d36d |
| PatchTST | 0.419 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-Coh | 0.419 | Not recorded | 6a30d923d33dfb23e783d36d |
| DLinear | 0.426 | Not recorded | 6a30d923d33dfb23e783d36d |
| FEDformer | 0.442 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-DiffInt | 0.468 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-Coh | 0.47 | Not recorded | 6a30d923d33dfb23e783d36d |
| TimesNet | 0.478 | Not recorded | 6a30d923d33dfb23e783d36d |
| FEDformer | 0.483 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-DiffInt | 0.531 | Not recorded | 6a30d923d33dfb23e783d36d |
| HAMON-Coh | 0.553 | Not recorded | 6a30d923d33dfb23e783d36d |

### PatchTST

MSE: 0.292. Result ID: 6a312fbafbc373592c2e8fda.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### DLinear

MSE: 0.301. Result ID: 6a312fbafbc373592c2e8fde.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### FITS

MSE: 0.303. Result ID: 6a312fbafbc373592c2e8fea.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### PatchTST

MSE: 0.33. Result ID: 6a312fbafbc373592c2e8fdb.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### DLinear

MSE: 0.335. Result ID: 6a312fbafbc373592c2e8fdf.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### FITS

MSE: 0.337. Result ID: 6a312fbafbc373592c2e8feb.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### TimesNet

MSE: 0.338. Result ID: 6a312fbafbc373592c2e8fe6.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-DiffInt

MSE: 0.358. Result ID: 6a312fbafbc373592c2e8ff2.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.362. Result ID: 6a312fbafbc373592c2e8fe2.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### PatchTST

MSE: 0.365. Result ID: 6a312fbafbc373592c2e8fdc.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### FITS

MSE: 0.366. Result ID: 6a312fbafbc373592c2e8fec.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### DLinear

MSE: 0.371. Result ID: 6a312fbafbc373592c2e8fe0.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-Coh

MSE: 0.372. Result ID: 6a312fbafbc373592c2e8fee.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"96","Lookback":"336"}. This record does not assert independent reproduction.

### TimesNet

MSE: 0.374. Result ID: 6a312fbafbc373592c2e8fe7.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.393. Result ID: 6a312fbafbc373592c2e8fe3.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### TimesNet

MSE: 0.41. Result ID: 6a312fbafbc373592c2e8fe8.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-DiffInt

MSE: 0.413. Result ID: 6a312fbafbc373592c2e8ff3.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### FITS

MSE: 0.415. Result ID: 6a312fbafbc373592c2e8fed.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### PatchTST

MSE: 0.419. Result ID: 6a312fbafbc373592c2e8fdd.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-Coh

MSE: 0.419. Result ID: 6a312fbafbc373592c2e8fef.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"192","Lookback":"336"}. This record does not assert independent reproduction.

### DLinear

MSE: 0.426. Result ID: 6a312fbafbc373592c2e8fe1.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.442. Result ID: 6a312fbafbc373592c2e8fe4.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-DiffInt

MSE: 0.468. Result ID: 6a312fbafbc373592c2e8ff4.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-Coh

MSE: 0.47. Result ID: 6a312fbafbc373592c2e8ff0.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"336","Lookback":"336"}. This record does not assert independent reproduction.

### TimesNet

MSE: 0.478. Result ID: 6a312fbafbc373592c2e8fe9.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.483. Result ID: 6a312fbafbc373592c2e8fe5.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71bd1e209131cea52dd5.md>)

[Implementation](<https://github.com/VEWOXIC/FITS>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-DiffInt

MSE: 0.531. Result ID: 6a312fbafbc373592c2e8ff5.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

### HAMON-Coh

MSE: 0.553. Result ID: 6a312fbafbc373592c2e8ff1.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d923d33dfb23e783d36d.md>)

Recorded evaluation configuration: {"Prediction Horizon":"720","Lookback":"336"}. This record does not assert independent reproduction.

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