# Spatiotemporal Inference on Matérn-1/2 simulated 2D grid N=4096 1.0

Source: [Spatiotemporal Inference on Matérn-1/2 simulated 2D grid N=4096 1.0](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-mat-rn-1-2-simulated-2d-grid-n-4096-1-0>)

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

Data updated: 2026-04-01T07:42:19.214Z

Evaluation of Spatiotemporal Inference performance on a 2D grid dataset simulated using a Matérn-1/2 kernel with N=4096 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 N=4096 1.0 |
| 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-n-4096-1-0.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-n-4096-1-0.md?metric=Wasserstein%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MSE | Result date | Report paper |
| --- | --- | --- | --- |
| DeepRV-gMLP | 0.005 | Not recorded | 68fa7c3c1e209131cea8d164 |
| INLA | 0.57 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 1.367 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 2.158 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 4.083 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 47.949 | Not recorded | 68fa7c3c1e209131cea8d164 |

### DeepRV-gMLP

MSE: 0.005. Result ID: 69cccbf047f34ce924b63350.

[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":"2.74 ± 0.60","Infer Time (s)":"939 ± 169.77","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### INLA

MSE: 0.57. Result ID: 69cccbf047f34ce924b6334b.

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

Recorded evaluation configuration: {"Infer Time (s)":"95 ± 1.88","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### DeepRV-MLP

MSE: 1.367. Result ID: 69cccbf047f34ce924b6334f.

[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":"0.84 ± 0.12","Infer Time (s)":"974 ± 170.98","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### Inducing Pts

MSE: 2.158. Result ID: 69cccbf047f34ce924b6334c.

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

Recorded evaluation configuration: {"ESS(l)/sec":"2.82 ± 0.94","Infer Time (s)":"955 ± 177.34","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### RFF

MSE: 4.083. Result ID: 69cccbf047f34ce924b6334d.

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

Recorded evaluation configuration: {"ESS(l)/sec":"0.01 ± 0.01","Infer Time (s)":"3,848 ± 1,242.73","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

### PriorCVAE

MSE: 47.949. Result ID: 69cccbf047f34ce924b6334e.

[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":"2.99 ± 1.46","Infer Time (s)":"595 ± 111.21","Averaged across lengthscales (10, 30, 50)":"true"}. This record does not assert independent reproduction.

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