# Marginal Log-Likelihood Estimation on DS6 (50 Taxa, 1133 Sites)

Source: [Marginal Log-Likelihood Estimation on DS6 (50 Taxa, 1133 Sites)](<https://www.sota2.com/research/sota/marginal-log-likelihood-estimation-on-ds6-50-taxa-1133-sites>)

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

Data updated: 2026-02-26T05:49:55.206Z

Evaluation of Marginal Log-Likelihood Estimation performance on the DS6 dataset, which contains 50 Taxa and 1133 Sites.

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 | Marginal Log-Likelihood Estimation |
| Dataset (including any stated split) | DS6 (50 Taxa, 1133 Sites) |
| Metric | MLL |
| 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

- [MLL](<https://www.sota2.com/research/sota/marginal-log-likelihood-estimation-on-ds6-50-taxa-1133-sites.md?metric=MLL>): Higher is better; unit: SCALAR.

## Recorded results

| Method | MLL | Result date | Report paper |
| --- | --- | --- | --- |
| MrBayes SS (Replication) | -6721.54 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| MrBayes SS | -6724.07 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| VBPI-GNN | -6724.37 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6733.38 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6733.91 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6734.49 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6734.51 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6734.63 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6735.12 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6735.14 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6735.59 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6735.78 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6735.9 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6736.2 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6736.74 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6741.63 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6742.4 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6745.6 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6747.15 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6747.46 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6747.61 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6748.78 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6750 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6751.97 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6752.46 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6753.84 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| GeoPhy | -6753.86 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| ϕ-CSMC | -7013.83 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| CSMC | -8029.51 | Not recorded | 68fa5f4d1e209131ce9e8d62 |
| VCSMC | -9296.66 | Not recorded | 68fa5f4d1e209131ce9e8d62 |

### MrBayes SS (Replication)

MLL: -6721.54. Result ID: 698bc1527a967eddb7711ede.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

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

### MrBayes SS

MLL: -6724.07. Result ID: 698bc1527a967eddb7711edd.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

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

### VBPI-GNN

MLL: -6724.37. Result ID: 698bc1527a967eddb7711edf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f461e209131ce9e8a35.md>)

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

### GeoPhy

MLL: -6733.38. Result ID: 698bc1527a967eddb7711ef2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6733.91. Result ID: 698bc1527a967eddb7711ef9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"4","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6734.49. Result ID: 698bc1527a967eddb7711eed.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"4","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6734.51. Result ID: 698bc1527a967eddb7711eec.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"4","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6734.63. Result ID: 698bc1527a967eddb7711eee.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"4","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6735.12. Result ID: 698bc1527a967eddb7711ef3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6735.14. Result ID: 698bc1527a967eddb7711ef8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"4","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6735.59. Result ID: 698bc1527a967eddb7711ee7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6735.78. Result ID: 698bc1527a967eddb7711ee6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6735.9. Result ID: 698bc1527a967eddb7711efa.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"4","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6736.2. Result ID: 698bc1527a967eddb7711ef4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6736.74. Result ID: 698bc1527a967eddb7711ee8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"4","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6741.63. Result ID: 698bc1527a967eddb7711ef0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6742.4. Result ID: 698bc1527a967eddb7711ef1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6745.6. Result ID: 698bc1527a967eddb7711eef.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6747.15. Result ID: 698bc1527a967eddb7711ee3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6747.46. Result ID: 698bc1527a967eddb7711ee4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6747.61. Result ID: 698bc1527a967eddb7711ef7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"2","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6748.78. Result ID: 698bc1527a967eddb7711ef5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"2","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6750. Result ID: 698bc1527a967eddb7711ee9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"2","CV":"LAX"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6751.97. Result ID: 698bc1527a967eddb7711ee5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"diagonal","Dimension":"2","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6752.46. Result ID: 698bc1527a967eddb7711eea.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"2","CV":"LOO(3)"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6753.84. Result ID: 698bc1527a967eddb7711eeb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Normal (N)","Covariance Matrix":"full","Dimension":"2","CV":"LOO(3)+"}. This record does not assert independent reproduction.

### GeoPhy

MLL: -6753.86. Result ID: 698bc1527a967eddb7711ef6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Implementation](<https://github.com/m1m0r1/geophy>)

Recorded evaluation configuration: {"Distribution":"Wrapped Normal (WN)","Covariance Matrix":"full","Dimension":"2","CV":"LOO(3)"}. This record does not assert independent reproduction.

### ϕ-CSMC

MLL: -7013.83. Result ID: 698bc1527a967eddb7711ee2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5f491e209131ce9e8b8a.md>)

[Implementation](<https://github.com/Lagergren-Lab/VaiPhy>)

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

### CSMC

MLL: -8029.51. Result ID: 698bc1527a967eddb7711ee0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

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

### VCSMC

MLL: -9296.66. Result ID: 698bc1527a967eddb7711ee1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5f4d1e209131ce9e8d62.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a281e209131cea26715.md>)

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

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