# Conditional Generation on Synthetic Copula

Source: [Conditional Generation on Synthetic Copula](<https://www.sota2.com/research/sota/conditional-generation-on-synthetic-copula>)

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

Data updated: 2026-04-07T09:23:04.387Z

Evaluation of Conditional Generation performance on the Synthetic Copula dataset, assessed using Wasserstein distance metrics.

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 | Conditional Generation |
| Dataset (including any stated split) | Synthetic Copula |
| Metric | Wasserstein Distance (Dim1) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 5 of 5 |
| 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

- [Wasserstein Distance (Dim1)](<https://www.sota2.com/research/sota/conditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Dim1)>): Lower is better; unit: SCALAR.

- [Wasserstein Distance (Dim2)](<https://www.sota2.com/research/sota/conditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Dim2)>): Lower is better; unit: SCALAR.

- [Wasserstein Distance (Mean)](<https://www.sota2.com/research/sota/conditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Mean)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Wasserstein Distance (Dim1) | Result date | Report paper |
| --- | --- | --- | --- |
| GMRF MCVAE | 0.0026 | Not recorded | 68fa7ae51e209131cea85bfb |
| MVAE | 0.003 | Not recorded | 68fa7ae51e209131cea85bfb |
| MMVAE+ | 0.0052 | Not recorded | 68fa7ae51e209131cea85bfb |
| MMVAE | 0.0054 | Not recorded | 68fa7ae51e209131cea85bfb |
| MoPoE | 0.006 | Not recorded | 68fa7ae51e209131cea85bfb |

### GMRF MCVAE

Wasserstein Distance (Dim1): 0.0026. Result ID: 69d4ccf747f34ce924bcdeb2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

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

### MVAE

Wasserstein Distance (Dim1): 0.003. Result ID: 69d4ccf747f34ce924bcdeae.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65141e209131cea08158.md>)

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

### MMVAE+

Wasserstein Distance (Dim1): 0.0052. Result ID: 69d4ccf747f34ce924bcdeb1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

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

### MMVAE

Wasserstein Distance (Dim1): 0.0054. Result ID: 69d4ccf747f34ce924bcdeaf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66991e209131cea113ec.md>)

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

### MoPoE

Wasserstein Distance (Dim1): 0.006. Result ID: 69d4ccf747f34ce924bcdeb0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ae51e209131cea85bfb.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a391e209131cea26c1e.md>)

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

Page 1 of 1. This is an index page, not the full collection.