# Spatiotemporal Inference on Synthetic 2D Grid Matérn-3/2 kernel

Source: [Spatiotemporal Inference on Synthetic 2D Grid Matérn-3/2 kernel](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-synthetic-2d-grid-mat-rn-3-2-kernel>)

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

Data updated: 2026-04-01T07:42:18.936Z

Evaluation of Spatiotemporal Inference performance on the Synthetic 2D Grid dataset generated using a Matérn-3/2 kernel, 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) | Synthetic 2D Grid Matérn-3/2 kernel |
| Metric | ESS/sec |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 35 of 35 |
| 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

- [ESS/sec](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-synthetic-2d-grid-mat-rn-3-2-kernel.md?metric=ESS%2Fsec>): Higher is better; unit: SCALAR.

- [MSE](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-synthetic-2d-grid-mat-rn-3-2-kernel.md?metric=MSE>): Lower is better; unit: SCALAR.

- [Wasserstein Distance](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-synthetic-2d-grid-mat-rn-3-2-kernel.md?metric=Wasserstein%20Distance>): Lower is better; unit: SCALAR.

- [Infer Time (s)](<https://www.sota2.com/research/sota/spatiotemporal-inference-on-synthetic-2d-grid-mat-rn-3-2-kernel.md?metric=Infer%20Time%20(s)>): Lower is better; unit: TIME.

## Recorded results

| Method | ESS/sec | Result date | Report paper |
| --- | --- | --- | --- |
| ADVI | 483.24 | Not recorded | 68fa7c3c1e209131cea8d164 |
| ADVI | 326.11 | Not recorded | 68fa7c3c1e209131cea8d164 |
| ADVI | 199.35 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 37.98 | Not recorded | 68fa7c3c1e209131cea8d164 |
| ADVI | 33.06 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 21.45 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 20.68 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-gMLP | 18.95 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 18.19 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 17.31 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 15.66 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-gMLP | 14.05 | Not recorded | 68fa7c3c1e209131cea8d164 |
| GP | 12.66 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 12.25 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 10.24 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-gMLP | 10.12 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 9.91 | Not recorded | 68fa7c3c1e209131cea8d164 |
| ADVI | 8.79 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 8.27 | Not recorded | 68fa7c3c1e209131cea8d164 |
| GP | 5.54 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 4.94 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-gMLP | 4.79 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 2.98 | Not recorded | 68fa7c3c1e209131cea8d164 |
| GP | 2.4 | Not recorded | 68fa7c3c1e209131cea8d164 |
| Inducing Pts | 2.38 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 2.13 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 2.04 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 1.94 | Not recorded | 68fa7c3c1e209131cea8d164 |
| PriorCVAE | 1.29 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-gMLP | 1.24 | Not recorded | 68fa7c3c1e209131cea8d164 |
| DeepRV-MLP | 0.65 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 0.44 | Not recorded | 68fa7c3c1e209131cea8d164 |
| GP | 0.33 | Not recorded | 68fa7c3c1e209131cea8d164 |
| RFF | 0.13 | Not recorded | 68fa7c3c1e209131cea8d164 |
| GP | 0.05 | Not recorded | 68fa7c3c1e209131cea8d164 |

### ADVI

ESS/sec: 483.24. Result ID: 69cccbf047f34ce924b6330d.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### ADVI

ESS/sec: 326.11. Result ID: 69cccbf047f34ce924b6330b.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### ADVI

ESS/sec: 199.35. Result ID: 69cccbf047f34ce924b6330c.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### PriorCVAE

ESS/sec: 37.98. Result ID: 69cccbf047f34ce924b63324.

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

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### ADVI

ESS/sec: 33.06. Result ID: 69cccbf047f34ce924b6330e.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### PriorCVAE

ESS/sec: 21.45. Result ID: 69cccbf047f34ce924b63326.

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

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### Inducing Pts

ESS/sec: 20.68. Result ID: 69cccbf047f34ce924b6331f.

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### DeepRV-gMLP

ESS/sec: 18.95. Result ID: 69cccbf047f34ce924b6331a.

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

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### PriorCVAE

ESS/sec: 18.19. Result ID: 69cccbf047f34ce924b63325.

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

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### DeepRV-MLP

ESS/sec: 17.31. Result ID: 69cccbf047f34ce924b63315.

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

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### RFF

ESS/sec: 15.66. Result ID: 69cccbf047f34ce924b6332a.

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### DeepRV-gMLP

ESS/sec: 14.05. Result ID: 69cccbf047f34ce924b6331b.

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

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### GP

ESS/sec: 12.66. Result ID: 69cccbf047f34ce924b63310.

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### Inducing Pts

ESS/sec: 12.25. Result ID: 69cccbf047f34ce924b63320.

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### DeepRV-MLP

ESS/sec: 10.24. Result ID: 69cccbf047f34ce924b63317.

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

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### DeepRV-gMLP

ESS/sec: 10.12. Result ID: 69cccbf047f34ce924b6331c.

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

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### DeepRV-MLP

ESS/sec: 9.91. Result ID: 69cccbf047f34ce924b63316.

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

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### ADVI

ESS/sec: 8.79. Result ID: 69cccbf047f34ce924b6330f.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa625c1e209131ce9f8c32.md>)

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### Inducing Pts

ESS/sec: 8.27. Result ID: 69cccbf047f34ce924b63321.

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### GP

ESS/sec: 5.54. Result ID: 69cccbf047f34ce924b63311.

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

Recorded evaluation configuration: {"Grid":"576"}. This record does not assert independent reproduction.

### PriorCVAE

ESS/sec: 4.94. Result ID: 69cccbf047f34ce924b63327.

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

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### DeepRV-gMLP

ESS/sec: 4.79. Result ID: 69cccbf047f34ce924b6331d.

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

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### Inducing Pts

ESS/sec: 2.98. Result ID: 69cccbf047f34ce924b63322.

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### GP

ESS/sec: 2.4. Result ID: 69cccbf047f34ce924b63312.

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### Inducing Pts

ESS/sec: 2.38. Result ID: 69cccbf047f34ce924b63323.

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### RFF

ESS/sec: 2.13. Result ID: 69cccbf047f34ce924b6332c.

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### RFF

ESS/sec: 2.04. Result ID: 69cccbf047f34ce924b63329.

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

Recorded evaluation configuration: {"Grid":"256"}. This record does not assert independent reproduction.

### DeepRV-MLP

ESS/sec: 1.94. Result ID: 69cccbf047f34ce924b63318.

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

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### PriorCVAE

ESS/sec: 1.29. Result ID: 69cccbf047f34ce924b63328.

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

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### DeepRV-gMLP

ESS/sec: 1.24. Result ID: 69cccbf047f34ce924b6331e.

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

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### DeepRV-MLP

ESS/sec: 0.65. Result ID: 69cccbf047f34ce924b63319.

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

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### RFF

ESS/sec: 0.44. Result ID: 69cccbf047f34ce924b6332b.

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

Recorded evaluation configuration: {"Grid":"1024"}. This record does not assert independent reproduction.

### GP

ESS/sec: 0.33. Result ID: 69cccbf047f34ce924b63313.

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

Recorded evaluation configuration: {"Grid":"2304"}. This record does not assert independent reproduction.

### RFF

ESS/sec: 0.13. Result ID: 69cccbf047f34ce924b6332d.

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

### GP

ESS/sec: 0.05. Result ID: 69cccbf047f34ce924b63314.

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

Recorded evaluation configuration: {"Grid":"4096"}. This record does not assert independent reproduction.

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