# Intrinsic Dimension Estimation on MNL6(18) (n=2000)

Source: [Intrinsic Dimension Estimation on MNL6(18) (n=2000)](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl6-18-n-2000>)

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

Data updated: 2026-05-15T07:19:20.574Z

Evaluation of Intrinsic Dimension Estimation performance on the synthetic MNL6 manifold dataset, where the true dimension is 18 and 2000 samples were used.

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 | Intrinsic Dimension Estimation |
| Dataset (including any stated split) | MNL6(18) (n=2000) |
| Metric | Mean Estimated Dimension |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 10 of 10 |
| 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

- [Mean Estimated Dimension](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl6-18-n-2000.md?metric=Mean%20Estimated%20Dimension>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Mean Estimated Dimension | Result date | Report paper |
| --- | --- | --- | --- |
| Local PCA | 22.31 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| DanCo | 20.73 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLS | 18 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| CA-PCA | 17.89 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| QE | 17 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TwoNN | 14.29 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MLE | 13.21 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MADA | 12.78 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLE | 12.73 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| Wasserstein | 6.73 | Not recorded | 68fa7c2b1e209131cea8cd5d |

### Local PCA

Mean Estimated Dimension: 22.31. Result ID: 6a06c8f147f34ce924edf422.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### DanCo

Mean Estimated Dimension: 20.73. Result ID: 6a06c8f147f34ce924edf424.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### TLS

Mean Estimated Dimension: 18. Result ID: 6a06c8f147f34ce924edf42b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### CA-PCA

Mean Estimated Dimension: 17.89. Result ID: 6a06c8f147f34ce924edf423.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa74c51e209131cea63b49.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### QE

Mean Estimated Dimension: 17. Result ID: 6a06c8f147f34ce924edf42a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### TwoNN

Mean Estimated Dimension: 14.29. Result ID: 6a06c8f147f34ce924edf425.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa64251e209131cea02dca.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### MLE

Mean Estimated Dimension: 13.21. Result ID: 6a06c8f147f34ce924edf426.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### MADA

Mean Estimated Dimension: 12.78. Result ID: 6a06c8f147f34ce924edf428.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### TLE

Mean Estimated Dimension: 12.73. Result ID: 6a06c8f147f34ce924edf427.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

### Wasserstein

Mean Estimated Dimension: 6.73. Result ID: 6a06c8f147f34ce924edf429.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7c2b1e209131cea8cd5d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ca11e209131cea350f2.md>)

Recorded evaluation configuration: {"Sample size":"2000","Replicates":"100"}. This record does not assert independent reproduction.

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