# Unconditional Generation on Synthetic Copula

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

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

Data updated: 2026-04-07T09:23:04.369Z

Evaluation of Unconditional Generation performance on the Synthetic Copula dataset, measured using Wasserstein distance metrics across dimensions.

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 | Unconditional Generation |
| Dataset (including any stated split) | Synthetic Copula |
| Metric | Wasserstein Distance (Dim1) (x10^3) |
| 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) (x10^3)](<https://www.sota2.com/research/sota/unconditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Dim1)%20(x10%5E3)>): Lower is better; unit: SCALAR.

- [Wasserstein Distance (Dim2) (x10^3)](<https://www.sota2.com/research/sota/unconditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Dim2)%20(x10%5E3)>): Lower is better; unit: SCALAR.

- [Wasserstein Distance (Mean) (x10^3)](<https://www.sota2.com/research/sota/unconditional-generation-on-synthetic-copula.md?metric=Wasserstein%20Distance%20(Mean)%20(x10%5E3)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Wasserstein Distance (Dim1) (x10^3) | Result date | Report paper |
| --- | --- | --- | --- |
| GMRF MCVAE | 0.7 | Not recorded | 68fa7ae51e209131cea85bfb |
| MoPoE | 1.9 | Not recorded | 68fa7ae51e209131cea85bfb |
| MVAE | 2.7 | Not recorded | 68fa7ae51e209131cea85bfb |
| MMVAE | 5.2 | Not recorded | 68fa7ae51e209131cea85bfb |
| MMVAE+ | 8.1 | Not recorded | 68fa7ae51e209131cea85bfb |

### GMRF MCVAE

Wasserstein Distance (Dim1) (x10^3): 0.7. Result ID: 69d4ccf747f34ce924bcdead.

[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.

### MoPoE

Wasserstein Distance (Dim1) (x10^3): 1.9. Result ID: 69d4ccf747f34ce924bcdeab.

[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.

### MVAE

Wasserstein Distance (Dim1) (x10^3): 2.7. Result ID: 69d4ccf747f34ce924bcdea9.

[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) (x10^3): 5.2. Result ID: 69d4ccf747f34ce924bcdeaa.

[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.

### MMVAE+

Wasserstein Distance (Dim1) (x10^3): 8.1. Result ID: 69d4ccf747f34ce924bcdeac.

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

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

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