# Intrinsic Dimension Estimation on MNL5(12) (n=2000)

Source: [Intrinsic Dimension Estimation on MNL5(12) (n=2000)](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl5-12-n-2000>)

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

Data updated: 2026-05-15T07:19:20.542Z

Evaluation of Intrinsic Dimension Estimation performance on the synthetic MNL5 manifold dataset, where the true dimension is 12 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) | MNL5(12) (n=2000) |
| Metric | Mean Dimension Estimate |
| Unit | SCALAR |
| Direction | Lower 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 Dimension Estimate](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl5-12-n-2000.md?metric=Mean%20Dimension%20Estimate>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Mean Dimension Estimate | Result date | Report paper |
| --- | --- | --- | --- |
| Wasserstein | 5.8 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| QE | 10.98 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLE | 12.77 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLS | 12.92 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MADA | 13.4 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TwoNN | 13.43 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MLE | 13.63 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| DanCo | 17.36 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| CA-PCA | 20.33 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| Local PCA | 23.92 | Not recorded | 68fa7c2b1e209131cea8cd5d |

### Wasserstein

Mean Dimension Estimate: 5.8. Result ID: 6a06c8f147f34ce924edf41f.

[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.

### QE

Mean Dimension Estimate: 10.98. Result ID: 6a06c8f147f34ce924edf420.

[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.

### TLE

Mean Dimension Estimate: 12.77. Result ID: 6a06c8f147f34ce924edf41d.

[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 Dimension Estimate: 12.92. Result ID: 6a06c8f147f34ce924edf421.

[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.

### MADA

Mean Dimension Estimate: 13.4. Result ID: 6a06c8f147f34ce924edf41e.

[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.

### TwoNN

Mean Dimension Estimate: 13.43. Result ID: 6a06c8f147f34ce924edf41b.

[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 Dimension Estimate: 13.63. Result ID: 6a06c8f147f34ce924edf41c.

[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 Dimension Estimate: 17.36. Result ID: 6a06c8f147f34ce924edf41a.

[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.

### CA-PCA

Mean Dimension Estimate: 20.33. Result ID: 6a06c8f147f34ce924edf419.

[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.

### Local PCA

Mean Dimension Estimate: 23.92. Result ID: 6a06c8f147f34ce924edf418.

[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.

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