# Spatial Simulation on Synthetic Spatial Grids 625-point

Source: [Spatial Simulation on Synthetic Spatial Grids 625-point](<https://www.sota2.com/research/sota/spatial-simulation-on-synthetic-spatial-grids-625-point>)

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

Data updated: 2026-03-20T08:13:49.467Z

Evaluation of Spatial Simulation models on the Synthetic Spatial Grids 625-point dataset, assessed using metrics like Shape Preservation and Variogram analysis.

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 | Spatial Simulation |
| Dataset (including any stated split) | Synthetic Spatial Grids 625-point |
| Metric | Shape Preservation |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 3 of 3 |
| 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

- [Shape Preservation](<https://www.sota2.com/research/sota/spatial-simulation-on-synthetic-spatial-grids-625-point.md?metric=Shape%20Preservation>): Higher is better; unit: PERCENT.

- [Variogram X Score](<https://www.sota2.com/research/sota/spatial-simulation-on-synthetic-spatial-grids-625-point.md?metric=Variogram%20X%20Score>): Higher is better; unit: PERCENT.

- [Variogram Y Score](<https://www.sota2.com/research/sota/spatial-simulation-on-synthetic-spatial-grids-625-point.md?metric=Variogram%20Y%20Score>): Higher is better; unit: PERCENT.

- [Overall Score](<https://www.sota2.com/research/sota/spatial-simulation-on-synthetic-spatial-grids-625-point.md?metric=Overall%20Score>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Shape Preservation | Result date | Report paper |
| --- | --- | --- | --- |
| MST-Direct | 1 | Not recorded | 69bcd4880636e5bf4afc29be |
| Gaussian Copula | 0 | Not recorded | 69bcd4880636e5bf4afc29be |
| LU Decomposition | 0 | Not recorded | 69bcd4880636e5bf4afc29be |

### MST-Direct

Shape Preservation: 1. Result ID: 69bd01b347f34ce924a6f101.

[Reporting paper](<https://www.sota2.com/research/paper/69bcd4880636e5bf4afc29be.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69bcd4880636e5bf4afc29be.md>)

Recorded evaluation configuration: {"k":"8","beta":"35.0","lambda":"2.2"}. This record does not assert independent reproduction.

### Gaussian Copula

Shape Preservation: 0. Result ID: 69bd01b347f34ce924a6f102.

[Reporting paper](<https://www.sota2.com/research/paper/69bcd4880636e5bf4afc29be.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### LU Decomposition

Shape Preservation: 0. Result ID: 69bd01b347f34ce924a6f103.

[Reporting paper](<https://www.sota2.com/research/paper/69bcd4880636e5bf4afc29be.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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