# Spatiotemporal Inference on Matérn-1/2 simulated 2D grid 1.0 (N=2304)

Source: [Spatiotemporal Inference on Matérn-1/2 simulated 2D grid 1.0 (N=2304)](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-mat-rn-1-2-simulated-2d-grid-1-0-n-2304>)

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

Data updated: 2026-04-01T07:42:19.173Z

Evaluation of Spatiotemporal Inference performance on a 2D grid dataset simulated using a Matérn-1/2 kernel with N=2304 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=2304) |
| 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-2304.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-2304.md?metric=Wasserstein%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| DeepRV-gMLP | 0.013 | Not recorded | 68fa7c3c1e209131cea8d164 |
| INLA | 0.261 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 3.714 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 8.678 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 9.877 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 11.296 | Not recorded | 68fa7c3c1e209131cea8d164 |

### DeepRV-gMLP

MSE: 0.013. Result ID: 69cccbf047f34ce924b6334a.

[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":"3.26 ± 0.67","Infer Time (s)":"778 ± 242.11","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### INLA

MSE: 0.261. Result ID: 69cccbf047f34ce924b63345.

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

Recorded evaluation configuration: {"Infer Time (s)":"38 ± 1.53","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### DeepRV-MLP

MSE: 3.714. Result ID: 69cccbf047f34ce924b63349.

[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":"2.32 ± 0.32","Infer Time (s)":"394 ± 23.93","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### Inducing Pts

MSE: 8.678. Result ID: 69cccbf047f34ce924b63346.

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

Recorded evaluation configuration: {"ESS(l)/sec":"3.97 ± 1.54","Infer Time (s)":"862 ± 195.73","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### PriorCVAE

MSE: 9.877. Result ID: 69cccbf047f34ce924b63348.

[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":"8.20 ± 2.85","Infer Time (s)":"334 ± 60.64","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### RFF

MSE: 11.296. Result ID: 69cccbf047f34ce924b63347.

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

Recorded evaluation configuration: {"ESS(l)/sec":"0.02 ± 0.01","Infer Time (s)":"1,653 ± 501.73","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

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