# Time-series Forecasting on Weather (MSE, MAE, NLL)

Source: [Time-series Forecasting on Weather (MSE, MAE, NLL)](<https://www.sota2.com/research/sota/time-series-forecasting-on-weather-mse-mae-nll>)

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

Data updated: 2026-06-01T10:33:13.579Z

Evaluation of models performing Time-series Forecasting on the Weather dataset, measured using Mean Squared Error (MSE), Mean Absolute Error (MAE), and Negative Log Likelihood (NLL).

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 | Time-series Forecasting |
| Dataset (including any stated split) | Weather |
| Metric | MSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 14 of 14 |
| 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/time-series-forecasting-on-weather-mse-mae-nll.md?metric=MSE>): Lower is better; unit: SCALAR.

- [MAE](<https://www.sota2.com/research/sota/time-series-forecasting-on-weather-mse-mae-nll.md?metric=MAE>): Lower is better; unit: SCALAR.

- [NLL](<https://www.sota2.com/research/sota/time-series-forecasting-on-weather-mse-mae-nll.md?metric=NLL>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| Koopa | 0.1255 | Not recorded | 698575d7c97a0b3e3b5d5e86 |
| Proximal Score-based VI | 0.1265 | Not recorded | 698575d7c97a0b3e3b5d5e86 |
| ADVI | 0.1273 | Not recorded | 698575d7c97a0b3e3b5d5e86 |
| CHARM | 0.222 | Not recorded | 6a1d123edbd7150506f84222 |
| Toto | 0.224 | Not recorded | 6a1d123edbd7150506f84222 |
| TimeMixer++ | 0.226 | Not recorded | 6a1d123edbd7150506f84222 |
| MOMENT | 0.228 | Not recorded | 6a1d123edbd7150506f84222 |
| CHARM | 0.23 | Not recorded | 6a1d123edbd7150506f84222 |
| CHARM | 0.23 | Not recorded | 6a1d123edbd7150506f84222 |
| PatchTST | 0.233 | Not recorded | 6a1d123edbd7150506f84222 |
| Moirai | 0.238 | Not recorded | 6a1d123edbd7150506f84222 |
| Moirai | 0.242 | Not recorded | 6a1d123edbd7150506f84222 |
| Moirai | 0.263 | Not recorded | 6a1d123edbd7150506f84222 |
| VisionTS | 0.269 | Not recorded | 6a1d123edbd7150506f84222 |

### Koopa

MSE: 0.1255. Result ID: 6998ee265698665ec452baa1.

[Reporting paper](<https://www.sota2.com/research/paper/698575d7c97a0b3e3b5d5e86.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70e51e209131cea4dbd8.md>)

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

Recorded evaluation configuration: {"variant":"Vanilla"}. This record does not assert independent reproduction.

### Proximal Score-based VI

MSE: 0.1265. Result ID: 6998ee265698665ec452baa3.

[Reporting paper](<https://www.sota2.com/research/paper/698575d7c97a0b3e3b5d5e86.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698575d7c97a0b3e3b5d5e86.md>)

Recorded evaluation configuration: {"variational\_family":"Gaussian"}. This record does not assert independent reproduction.

### ADVI

MSE: 0.1273. Result ID: 6998ee265698665ec452baa2.

[Reporting paper](<https://www.sota2.com/research/paper/698575d7c97a0b3e3b5d5e86.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"variational\_family":"Gaussian"}. This record does not assert independent reproduction.

### CHARM

MSE: 0.222. Result ID: 6a1d5fe6fbc373592c174e65.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

Recorded evaluation configuration: {"Evaluation Protocol":"Fully Fine-tuned"}. This record does not assert independent reproduction.

### Toto

MSE: 0.224. Result ID: 6a1d5fe6fbc373592c174e5b.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78b51e209131cea79e91.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### TimeMixer++

MSE: 0.226. Result ID: 6a1d5fe6fbc373592c174e5f.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a11e209131cea797b7.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### MOMENT

MSE: 0.228. Result ID: 6a1d5fe6fbc373592c174e61.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75261e209131cea662a6.md>)

Recorded evaluation configuration: {"Evaluation Protocol":"Linear Probing"}. This record does not assert independent reproduction.

### CHARM

MSE: 0.23. Result ID: 6a1d5fe6fbc373592c174e63.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

Recorded evaluation configuration: {"Evaluation Protocol":"Linear Probing"}. This record does not assert independent reproduction.

### CHARM

MSE: 0.23. Result ID: 6a1d5fe6fbc373592c174e64.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

Recorded evaluation configuration: {"Evaluation Protocol":"Non-linear Head"}. This record does not assert independent reproduction.

### PatchTST

MSE: 0.233. Result ID: 6a1d5fe6fbc373592c174e62.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6eb21e209131cea4181f.md>)

Recorded evaluation configuration: {"Evaluation Protocol":"Linear Probing"}. This record does not assert independent reproduction.

### Moirai

MSE: 0.238. Result ID: 6a1d5fe6fbc373592c174e5d.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73411e209131cea5b4ec.md>)

Recorded evaluation configuration: {"Variant":"Base"}. This record does not assert independent reproduction.

### Moirai

MSE: 0.242. Result ID: 6a1d5fe6fbc373592c174e5c.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73411e209131cea5b4ec.md>)

Recorded evaluation configuration: {"Variant":"Small"}. This record does not assert independent reproduction.

### Moirai

MSE: 0.263. Result ID: 6a1d5fe6fbc373592c174e5e.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73411e209131cea5b4ec.md>)

Recorded evaluation configuration: {"Variant":"Large"}. This record does not assert independent reproduction.

### VisionTS

MSE: 0.269. Result ID: 6a1d5fe6fbc373592c174e60.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d123edbd7150506f84222.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79271e209131cea7c4bd.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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