# Univariate long-term forecasting on ILI

Source: [Univariate long-term forecasting on ILI](<https://www.sota2.com/research/sota/univariate-long-term-forecasting-on-ili>)

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

Data updated: 2026-02-26T05:50:39.779Z

Evaluation of models performing univariate long-term time series forecasting on the ILI dataset, typically measured using MSE and MAE.

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 | Univariate long-term forecasting |
| Dataset (including any stated split) | ILI |
| 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/univariate-long-term-forecasting-on-ili.md?metric=MSE>): Lower is better; unit: SCALAR.

- [MAE](<https://www.sota2.com/research/sota/univariate-long-term-forecasting-on-ili.md?metric=MAE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| FiLM | 0.444 | Not recorded | 68fa6d721e209131cea39f53 |
| FEDformer | 0.554 | Not recorded | 68fa6d721e209131cea39f53 |
| FiLM | 0.557 | Not recorded | 68fa6d721e209131cea39f53 |
| S4 | 0.622 | Not recorded | 68fa6d721e209131cea39f53 |
| FiLM | 0.629 | Not recorded | 68fa6d721e209131cea39f53 |
| Autoformer | 0.634 | Not recorded | 68fa6d721e209131cea39f53 |
| FiLM | 0.641 | Not recorded | 68fa6d721e209131cea39f53 |
| FEDformer | 0.693 | Not recorded | 68fa6d721e209131cea39f53 |
| FEDformer | 0.699 | Not recorded | 68fa6d721e209131cea39f53 |
| Autoformer | 0.791 | Not recorded | 68fa6d721e209131cea39f53 |
| S4 | 0.813 | Not recorded | 68fa6d721e209131cea39f53 |
| FEDformer | 0.828 | Not recorded | 68fa6d721e209131cea39f53 |
| S4 | 0.866 | Not recorded | 68fa6d721e209131cea39f53 |
| Autoformer | 0.874 | Not recorded | 68fa6d721e209131cea39f53 |
| S4 | 0.931 | Not recorded | 68fa6d721e209131cea39f53 |
| Autoformer | 0.948 | Not recorded | 68fa6d721e209131cea39f53 |
| LogTrans | 2.407 | Not recorded | 68fa6d721e209131cea39f53 |
| Reformer | 2.934 | Not recorded | 68fa6d721e209131cea39f53 |
| LogTrans | 3.106 | Not recorded | 68fa6d721e209131cea39f53 |
| LogTrans | 3.607 | Not recorded | 68fa6d721e209131cea39f53 |
| LogTrans | 3.698 | Not recorded | 68fa6d721e209131cea39f53 |
| Reformer | 3.754 | Not recorded | 68fa6d721e209131cea39f53 |
| Reformer | 3.838 | Not recorded | 68fa6d721e209131cea39f53 |
| Reformer | 4.162 | Not recorded | 68fa6d721e209131cea39f53 |
| Informer | 4.273 | Not recorded | 68fa6d721e209131cea39f53 |
| Informer | 4.554 | Not recorded | 68fa6d721e209131cea39f53 |
| Informer | 5.214 | Not recorded | 68fa6d721e209131cea39f53 |
| Informer | 5.282 | Not recorded | 68fa6d721e209131cea39f53 |

### FiLM

MSE: 0.444. Result ID: 698fa2953a6c314849fab57d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Implementation](<https://github.com/tianzhou2011/FiLM/>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.554. Result ID: 698fa2953a6c314849fab581.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6cbf1e209131cea35c29.md>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### FiLM

MSE: 0.557. Result ID: 698fa2953a6c314849fab57e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Implementation](<https://github.com/tianzhou2011/FiLM/>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### S4

MSE: 0.622. Result ID: 698fa2953a6c314849fab589.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d341e209131cea38604.md>)

[Implementation](<https://github.com/HazyResearch/state-spaces>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### FiLM

MSE: 0.629. Result ID: 698fa2953a6c314849fab57c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Implementation](<https://github.com/tianzhou2011/FiLM/>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### Autoformer

MSE: 0.634. Result ID: 698fa2953a6c314849fab585.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b9a1e209131cea2f3a3.md>)

[Implementation](<https://github.com/thuml/Autoformer>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### FiLM

MSE: 0.641. Result ID: 698fa2953a6c314849fab57f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Implementation](<https://github.com/tianzhou2011/FiLM/>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.693. Result ID: 698fa2953a6c314849fab580.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6cbf1e209131cea35c29.md>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.699. Result ID: 698fa2953a6c314849fab582.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6cbf1e209131cea35c29.md>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### Autoformer

MSE: 0.791. Result ID: 698fa2953a6c314849fab586.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b9a1e209131cea2f3a3.md>)

[Implementation](<https://github.com/thuml/Autoformer>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### S4

MSE: 0.813. Result ID: 698fa2953a6c314849fab58a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d341e209131cea38604.md>)

[Implementation](<https://github.com/HazyResearch/state-spaces>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### FEDformer

MSE: 0.828. Result ID: 698fa2953a6c314849fab583.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6cbf1e209131cea35c29.md>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### S4

MSE: 0.866. Result ID: 698fa2953a6c314849fab588.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d341e209131cea38604.md>)

[Implementation](<https://github.com/HazyResearch/state-spaces>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### Autoformer

MSE: 0.874. Result ID: 698fa2953a6c314849fab587.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b9a1e209131cea2f3a3.md>)

[Implementation](<https://github.com/thuml/Autoformer>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### S4

MSE: 0.931. Result ID: 698fa2953a6c314849fab58b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d341e209131cea38604.md>)

[Implementation](<https://github.com/HazyResearch/state-spaces>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### Autoformer

MSE: 0.948. Result ID: 698fa2953a6c314849fab584.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b9a1e209131cea2f3a3.md>)

[Implementation](<https://github.com/thuml/Autoformer>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### LogTrans

MSE: 2.407. Result ID: 698fa2953a6c314849fab591.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66e71e209131cea1309f.md>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### Reformer

MSE: 2.934. Result ID: 698fa2953a6c314849fab595.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea143ed.md>)

[Implementation](<https://github.com/google/trax/tree/master/trax/models/reformer>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### LogTrans

MSE: 3.106. Result ID: 698fa2953a6c314849fab592.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66e71e209131cea1309f.md>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### LogTrans

MSE: 3.607. Result ID: 698fa2953a6c314849fab590.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66e71e209131cea1309f.md>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### LogTrans

MSE: 3.698. Result ID: 698fa2953a6c314849fab593.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66e71e209131cea1309f.md>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### Reformer

MSE: 3.754. Result ID: 698fa2953a6c314849fab596.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea143ed.md>)

[Implementation](<https://github.com/google/trax/tree/master/trax/models/reformer>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### Reformer

MSE: 3.838. Result ID: 698fa2953a6c314849fab594.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea143ed.md>)

[Implementation](<https://github.com/google/trax/tree/master/trax/models/reformer>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

### Reformer

MSE: 4.162. Result ID: 698fa2953a6c314849fab597.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea143ed.md>)

[Implementation](<https://github.com/google/trax/tree/master/trax/models/reformer>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### Informer

MSE: 4.273. Result ID: 698fa2953a6c314849fab58e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa699f1e209131cea23263.md>)

[Implementation](<https://github.com/zhouhaoyi/Informer2020>)

Recorded evaluation configuration: {"Prediction Horizon":48}. This record does not assert independent reproduction.

### Informer

MSE: 4.554. Result ID: 698fa2953a6c314849fab58d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa699f1e209131cea23263.md>)

[Implementation](<https://github.com/zhouhaoyi/Informer2020>)

Recorded evaluation configuration: {"Prediction Horizon":36}. This record does not assert independent reproduction.

### Informer

MSE: 5.214. Result ID: 698fa2953a6c314849fab58f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa699f1e209131cea23263.md>)

[Implementation](<https://github.com/zhouhaoyi/Informer2020>)

Recorded evaluation configuration: {"Prediction Horizon":60}. This record does not assert independent reproduction.

### Informer

MSE: 5.282. Result ID: 698fa2953a6c314849fab58c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6d721e209131cea39f53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa699f1e209131cea23263.md>)

[Implementation](<https://github.com/zhouhaoyi/Informer2020>)

Recorded evaluation configuration: {"Prediction Horizon":24}. This record does not assert independent reproduction.

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