# Spatiotemporal Field Reconstruction on Navier-Stokes 10% Subset

Source: [Spatiotemporal Field Reconstruction on Navier-Stokes 10% Subset](<https://www.sota2.com/research/sota/spatiotemporal-field-reconstruction-on-navier-stokes-10-percent-subset>)

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

Data updated: 2026-03-06T07:29:38.635Z

Evaluation of model performance on reconstructing spatiotemporal fields using the 10% subset of the Navier-Stokes dataset, measured using CRPS.

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 Field Reconstruction |
| Dataset (including any stated split) | Navier-Stokes 10% Subset |
| Metric | CRPS |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 30 of 30 |
| 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

- [CRPS](<https://www.sota2.com/research/sota/spatiotemporal-field-reconstruction-on-navier-stokes-10-percent-subset.md?metric=CRPS>): Lower is better; unit: SCALAR.

## Recorded results

| Method | CRPS | Result date | Report paper |
| --- | --- | --- | --- |
| SOLID | 0.1005 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| ∞-Diff | 0.461 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| SOLID | 0.4826 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| UNet | 0.6722 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| FFNO | 0.7042 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OFormer | 0.9052 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OmniField | 1.0651 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| ∞-Diff | 1.2084 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| SOLID | 1.2251 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OFormer | 1.2387 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| UNet | 1.2387 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| SCENT | 1.2591 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| DDO | 1.2803 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| DDO | 1.2879 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| DDO | 1.2891 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| FFNO | 1.3265 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| SCENT | 1.3971 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OmniField | 1.6541 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| ∞-Diff | 1.766 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| UNet | 1.8204 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| FFNO | 1.8689 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| SCENT | 1.9158 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OFormer | 1.9677 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| OmniField | 2.1117 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| INR-GAN | 2.5478 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| INR-GAN | 2.5688 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| INR-GAN | 2.6293 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| StyleGAN3 | 2.6354 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| StyleGAN3 | 2.6364 | Not recorded | 69aa5f7c2d603e6de3e4185e |
| StyleGAN3 | 2.6379 | Not recorded | 69aa5f7c2d603e6de3e4185e |

### SOLID

CRPS: 0.1005. Result ID: 69aa82616dbb7075b953e891.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### ∞-Diff

CRPS: 0.461. Result ID: 69aa82616dbb7075b953e89d.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72581e209131cea55cf5.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### SOLID

CRPS: 0.4826. Result ID: 69aa82616dbb7075b953e890.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### UNet

CRPS: 0.6722. Result ID: 69aa82616dbb7075b953e88e.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa61e11e209131ce9f653d.md>)

[Implementation](<http://lmb.informatik.uni-freiburg.de/people/ronneber/u-net>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### FFNO

CRPS: 0.7042. Result ID: 69aa82616dbb7075b953e888.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ea81e209131cea412c9.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### OFormer

CRPS: 0.9052. Result ID: 69aa82616dbb7075b953e88b.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f371e209131cea44809.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### OmniField

CRPS: 1.0651. Result ID: 69aa82616dbb7075b953e885.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/690ad9ee5fbd5403840045ab.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### ∞-Diff

CRPS: 1.2084. Result ID: 69aa82616dbb7075b953e89c.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72581e209131cea55cf5.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### SOLID

CRPS: 1.2251. Result ID: 69aa82616dbb7075b953e88f.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### OFormer

CRPS: 1.2387. Result ID: 69aa82616dbb7075b953e88a.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f371e209131cea44809.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### UNet

CRPS: 1.2387. Result ID: 69aa82616dbb7075b953e88d.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa61e11e209131ce9f653d.md>)

[Implementation](<http://lmb.informatik.uni-freiburg.de/people/ronneber/u-net>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### SCENT

CRPS: 1.2591. Result ID: 69aa82616dbb7075b953e882.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78071e209131cea766d4.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### DDO

CRPS: 1.2803. Result ID: 69aa82616dbb7075b953e89a.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5cd91e209131ce9d4cb6.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### DDO

CRPS: 1.2879. Result ID: 69aa82616dbb7075b953e899.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5cd91e209131ce9d4cb6.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### DDO

CRPS: 1.2891. Result ID: 69aa82616dbb7075b953e898.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5cd91e209131ce9d4cb6.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### FFNO

CRPS: 1.3265. Result ID: 69aa82616dbb7075b953e887.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ea81e209131cea412c9.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### SCENT

CRPS: 1.3971. Result ID: 69aa82616dbb7075b953e881.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78071e209131cea766d4.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### OmniField

CRPS: 1.6541. Result ID: 69aa82616dbb7075b953e884.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/690ad9ee5fbd5403840045ab.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### ∞-Diff

CRPS: 1.766. Result ID: 69aa82616dbb7075b953e89b.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72581e209131cea55cf5.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### UNet

CRPS: 1.8204. Result ID: 69aa82616dbb7075b953e88c.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa61e11e209131ce9f653d.md>)

[Implementation](<http://lmb.informatik.uni-freiburg.de/people/ronneber/u-net>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### FFNO

CRPS: 1.8689. Result ID: 69aa82616dbb7075b953e886.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ea81e209131cea412c9.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### SCENT

CRPS: 1.9158. Result ID: 69aa82616dbb7075b953e880.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78071e209131cea766d4.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### OFormer

CRPS: 1.9677. Result ID: 69aa82616dbb7075b953e889.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f371e209131cea44809.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### OmniField

CRPS: 2.1117. Result ID: 69aa82616dbb7075b953e883.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/690ad9ee5fbd5403840045ab.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### INR-GAN

CRPS: 2.5478. Result ID: 69aa82616dbb7075b953e897.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a3b1e209131cea26d00.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### INR-GAN

CRPS: 2.5688. Result ID: 69aa82616dbb7075b953e896.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a3b1e209131cea26d00.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### INR-GAN

CRPS: 2.6293. Result ID: 69aa82616dbb7075b953e895.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a3b1e209131cea26d00.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

### StyleGAN3

CRPS: 2.6354. Result ID: 69aa82616dbb7075b953e894.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b121e209131cea2bf5c.md>)

Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction.

### StyleGAN3

CRPS: 2.6364. Result ID: 69aa82616dbb7075b953e893.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b121e209131cea2bf5c.md>)

Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction.

### StyleGAN3

CRPS: 2.6379. Result ID: 69aa82616dbb7075b953e892.

[Reporting paper](<https://www.sota2.com/research/paper/69aa5f7c2d603e6de3e4185e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b121e209131cea2bf5c.md>)

Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction.

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