# Spatiotemporal Inference on Matérn-1/2 simulated 2D grid 1.0 (N=256)

Source: [Spatiotemporal Inference on Matérn-1/2 simulated 2D grid 1.0 (N=256)](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-mat-rn-1-2-simulated-2d-grid-1-0-n-256>)

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

Data updated: 2026-04-01T07:42:19.040Z

Evaluation of Spatiotemporal Inference performance on a synthetic 2D grid dataset generated using a Matérn-1/2 kernel with N=256 points, measured using MSE and Wasserstein distance.

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 Inference |
| Dataset (including any stated split) | Matérn-1/2 simulated 2D grid 1.0 (N=256) |
| Metric | MSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 6 of 6 |
| 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/spatiotemporal-inference-on-mat-rn-1-2-simulated-2d-grid-1-0-n-256.md?metric=MSE>): Lower is better; unit: SCALAR.

- [Wasserstein Distance](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-mat-rn-1-2-simulated-2d-grid-1-0-n-256.md?metric=Wasserstein%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| DeepRV-gMLP | 0.002 | Not recorded | 68fa7c3c1e209131cea8d164 |
| INLA | 0.392 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 1.116 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 4.802 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 7.363 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 8.064 | Not recorded | 68fa7c3c1e209131cea8d164 |

### DeepRV-gMLP

MSE: 0.002. Result ID: 69cccbf047f34ce924b63338.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

Recorded evaluation configuration: {"ESS(l)/sec":"21.30 ± 6.13","Infer Time (s)":"157 ± 51.35","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### INLA

MSE: 0.392. Result ID: 69cccbf047f34ce924b63333.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

Recorded evaluation configuration: {"Infer Time (s)":"2 ± 0.08","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### DeepRV-MLP

MSE: 1.116. Result ID: 69cccbf047f34ce924b63337.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

Recorded evaluation configuration: {"ESS(l)/sec":"37.32 ± 10.11","Infer Time (s)":"98 ± 21.46","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### Inducing Pts

MSE: 4.802. Result ID: 69cccbf047f34ce924b63334.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

Recorded evaluation configuration: {"ESS(l)/sec":"27.76 ± 8.15","Infer Time (s)":"154 ± 31.56","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### RFF

MSE: 7.363. Result ID: 69cccbf047f34ce924b63335.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

Recorded evaluation configuration: {"ESS(l)/sec":"0.00 ± 0.00","Infer Time (s)":"1,314 ± 127.31","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### PriorCVAE

MSE: 8.064. Result ID: 69cccbf047f34ce924b63336.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c3c1e209131cea8d164.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71201e209131cea4f53b.md>)

Recorded evaluation configuration: {"ESS(l)/sec":"56.14 ± 30.51","Infer Time (s)":"81 ± 15.86","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

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