# Rollout Prediction on Advection-Diffusion-Reaction (val)

Source: [Rollout Prediction on Advection-Diffusion-Reaction (val)](<https://www.sota2.com/research/sota/rollout-prediction-on-advection-diffusion-reaction-val>)

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

Data updated: 2026-04-09T23:28:00.717Z

Evaluation of Rollout Prediction performance on the validation split of the Advection-Diffusion-Reaction dataset, measured by relative rollout errors at specific time steps (T=0.4 and T=1.0).

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 | Rollout Prediction |
| Dataset (including any stated split) | Advection-Diffusion-Reaction (val) |
| Metric | Relative Rollout Error (T=0.4) |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 4 of 4 |
| 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

- [Relative Rollout Error (T=0.4)](<https://www.sota2.com/research/sota/rollout-prediction-on-advection-diffusion-reaction-val.md?metric=Relative%20Rollout%20Error%20(T%3D0.4)>): Lower is better; unit: PERCENT.

- [Relative Rollout Error (T=1.0)](<https://www.sota2.com/research/sota/rollout-prediction-on-advection-diffusion-reaction-val.md?metric=Relative%20Rollout%20Error%20(T%3D1.0)>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Relative Rollout Error (T=0.4) | Result date | Report paper |
| --- | --- | --- | --- |
| AE-ViT | 0.29 | Not recorded | 69d732777d0172140ec76a6f |
| AE + 1D transformer | 1.17 | Not recorded | 69d732777d0172140ec76a6f |
| DL-ROM | 1.23 | Not recorded | 69d732777d0172140ec76a6f |
| ViT | 9.97 | Not recorded | 69d732777d0172140ec76a6f |

### AE-ViT

Relative Rollout Error (T=0.4): 0.29. Result ID: 69d835e547f34ce924bfef6b.

[Reporting paper](<https://www.sota2.com/research/paper/69d732777d0172140ec76a6f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69d732777d0172140ec76a6f.md>)

Recorded evaluation configuration: {"parameter count":"≈ 6 million"}. This record does not assert independent reproduction.

### AE + 1D transformer

Relative Rollout Error (T=0.4): 1.17. Result ID: 69d835e547f34ce924bfef6e.

[Reporting paper](<https://www.sota2.com/research/paper/69d732777d0172140ec76a6f.md>)

Recorded evaluation configuration: {"parameter count":"≈ 38 million"}. This record does not assert independent reproduction.

### DL-ROM

Relative Rollout Error (T=0.4): 1.23. Result ID: 69d835e547f34ce924bfef6d.

[Reporting paper](<https://www.sota2.com/research/paper/69d732777d0172140ec76a6f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59e21e209131ce9baf24.md>)

Recorded evaluation configuration: {"parameter count":"≈ 52 million"}. This record does not assert independent reproduction.

### ViT

Relative Rollout Error (T=0.4): 9.97. Result ID: 69d835e547f34ce924bfef6c.

[Reporting paper](<https://www.sota2.com/research/paper/69d732777d0172140ec76a6f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a0b1e209131cea25b04.md>)

[Implementation](<https://github.com/google-research/vision_transformer>)

Recorded evaluation configuration: {"parameter count":"≈ 4 million"}. This record does not assert independent reproduction.

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