# Unconditional modeling on 25GMM d = 2

Source: [Unconditional modeling on 25GMM d = 2](<https://www.sota2.com/research/sota/unconditional-modeling-on-25gmm-d-2>)

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

Data updated: 2026-02-26T05:40:40.104Z

Evaluation of unconditional modeling performance on the 25GMM dataset with dimension d=2, assessed using density estimation metrics such as Δ log Z and W\_2^2.

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 modeling |
| Dataset (including any stated split) | 25GMM d = 2 |
| Metric | Delta Log Z |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 30 of 30 |
| 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

- [Delta Log Z](<https://www.sota2.com/research/sota/unconditional-modeling-on-25gmm-d-2.md?metric=Delta%20Log%20Z>): Higher is better; unit: SCALAR.

- [Delta Log Z (RW)](<https://www.sota2.com/research/sota/unconditional-modeling-on-25gmm-d-2.md?metric=Delta%20Log%20Z%20(RW)>): Higher is better; unit: SCALAR.

- [W\_2^2](<https://www.sota2.com/research/sota/unconditional-modeling-on-25gmm-d-2.md?metric=W_2%5E2>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Delta Log Z | Result date | Report paper |
| --- | --- | --- | --- |
| PIS | 1.799 | Not recorded | 68fa768e1e209131cea6dad3 |
| PIS | 1.799 | Not recorded | 68fa768e1e209131cea6dad3 |
| PIS | 1.769 | Not recorded | 68fa768e1e209131cea6dad3 |
| PIS | 1.769 | Not recorded | 68fa768e1e209131cea6dad3 |
| DDS | 1.76 | Not recorded | 68fa768e1e209131cea6dad3 |
| DDS | 1.76 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 1.176 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 1.176 | Not recorded | 68fa768e1e209131cea6dad3 |
| FL-SubTB | 1.127 | Not recorded | 68fa768e1e209131cea6dad3 |
| FL-SubTB | 1.127 | Not recorded | 68fa768e1e209131cea6dad3 |
| DIS | 1.125 | Not recorded | 68fa768e1e209131cea6dad3 |
| DIS | 1.125 | Not recorded | 68fa768e1e209131cea6dad3 |
| VarGrad | 0.615 | Not recorded | 68fa768e1e209131cea6dad3 |
| VarGrad | 0.615 | Not recorded | 68fa768e1e209131cea6dad3 |
| SMC | 0.569 | Not recorded | 68fa768e1e209131cea6dad3 |
| SMC | 0.569 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.56 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.56 | Not recorded | 68fa768e1e209131cea6dad3 |
| GGNS | 0.518 | Not recorded | 68fa768e1e209131cea6dad3 |
| FL-SubTB | 0.209 | Not recorded | 68fa768e1e209131cea6dad3 |
| FL-SubTB | 0.209 | Not recorded | 68fa768e1e209131cea6dad3 |
| VarGrad | 0.207 | Not recorded | 68fa768e1e209131cea6dad3 |
| VarGrad | 0.207 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.206 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.206 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.19 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.19 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.171 | Not recorded | 68fa768e1e209131cea6dad3 |
| TB | 0.171 | Not recorded | 68fa768e1e209131cea6dad3 |
| GGNS | 0.016 | Not recorded | 68fa768e1e209131cea6dad3 |

### PIS

Delta Log Z: 1.799. Result ID: 699457ab3a6c3148491ca14b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bf31e209131cea31278.md>)

Recorded evaluation configuration: {"Langevin parametrization":true}. This record does not assert independent reproduction.

### PIS

Delta Log Z: 1.799. Result ID: 699457ab3a6c3148491ca178.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bf31e209131cea31278.md>)

Recorded evaluation configuration: {"Langevin parametrization":true}. This record does not assert independent reproduction.

### PIS

Delta Log Z: 1.769. Result ID: 699457ab3a6c3148491ca14a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bf31e209131cea31278.md>)

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

### PIS

Delta Log Z: 1.769. Result ID: 699457ab3a6c3148491ca177.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bf31e209131cea31278.md>)

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

### DDS

Delta Log Z: 1.76. Result ID: 699457ab3a6c3148491ca149.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70541e209131cea4a46d.md>)

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

### DDS

Delta Log Z: 1.76. Result ID: 699457ab3a6c3148491ca176.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70541e209131cea4a46d.md>)

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

### TB

Delta Log Z: 1.176. Result ID: 699457ab3a6c3148491ca14c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

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

### TB

Delta Log Z: 1.176. Result ID: 699457ab3a6c3148491ca179.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

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

### FL-SubTB

Delta Log Z: 1.127. Result ID: 699457ab3a6c3148491ca14f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72711e209131cea56594.md>)

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

### FL-SubTB

Delta Log Z: 1.127. Result ID: 699457ab3a6c3148491ca17c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72711e209131cea56594.md>)

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

### DIS

Delta Log Z: 1.125. Result ID: 699457ab3a6c3148491ca148.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5b961e209131ce9c9b8c.md>)

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

### DIS

Delta Log Z: 1.125. Result ID: 699457ab3a6c3148491ca175.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5b961e209131ce9c9b8c.md>)

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

### VarGrad

Delta Log Z: 0.615. Result ID: 699457ab3a6c3148491ca14e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true}. This record does not assert independent reproduction.

### VarGrad

Delta Log Z: 0.615. Result ID: 699457ab3a6c3148491ca17b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true}. This record does not assert independent reproduction.

### SMC

Delta Log Z: 0.569. Result ID: 699457ab3a6c3148491ca146.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa1e4b7a2b558e29321789.md>)

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

### SMC

Delta Log Z: 0.569. Result ID: 699457ab3a6c3148491ca173.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa1e4b7a2b558e29321789.md>)

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

### TB

Delta Log Z: 0.56. Result ID: 699457ab3a6c3148491ca14d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.56. Result ID: 699457ab3a6c3148491ca17a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true}. This record does not assert independent reproduction.

### GGNS

Delta Log Z: 0.518. Result ID: 699457ab3a6c3148491ca147.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71651e209131cea51241.md>)

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

### FL-SubTB

Delta Log Z: 0.209. Result ID: 699457ab3a6c3148491ca150.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72711e209131cea56594.md>)

Recorded evaluation configuration: {"Langevin parametrization":true}. This record does not assert independent reproduction.

### FL-SubTB

Delta Log Z: 0.209. Result ID: 699457ab3a6c3148491ca17d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72711e209131cea56594.md>)

Recorded evaluation configuration: {"Langevin parametrization":true}. This record does not assert independent reproduction.

### VarGrad

Delta Log Z: 0.207. Result ID: 699457ab3a6c3148491ca154.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true,"Langevin parametrization":true,"Local Search":true}. This record does not assert independent reproduction.

### VarGrad

Delta Log Z: 0.207. Result ID: 699457ab3a6c3148491ca181.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true,"Langevin parametrization":true,"Local Search":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.206. Result ID: 699457ab3a6c3148491ca152.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true,"Langevin parametrization":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.206. Result ID: 699457ab3a6c3148491ca17f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true,"Langevin parametrization":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.19. Result ID: 699457ab3a6c3148491ca153.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true,"Langevin parametrization":true,"Local Search":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.19. Result ID: 699457ab3a6c3148491ca180.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true,"Langevin parametrization":true,"Local Search":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.171. Result ID: 699457ab3a6c3148491ca151.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Explorative objective":true,"Local Search":true}. This record does not assert independent reproduction.

### TB

Delta Log Z: 0.171. Result ID: 699457ab3a6c3148491ca17e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Implementation](<https://github.com/GFNOrg/gfn-diffusion>)

Recorded evaluation configuration: {"Exploration objective":true,"Local Search":true}. This record does not assert independent reproduction.

### GGNS

Delta Log Z: 0.016. Result ID: 699457ab3a6c3148491ca174.

[Reporting paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6dad3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71651e209131cea51241.md>)

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

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