# Intrinsic Dimension Estimation on MNL4(10) (n=2000)

Source: [Intrinsic Dimension Estimation on MNL4(10) (n=2000)](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl4-10-n-2000>)

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

Data updated: 2026-05-15T07:19:20.515Z

Evaluation of Intrinsic Dimension Estimation performance on the synthetic MNL4 manifold dataset, where the true dimension is 10 and the sample size is 2000.

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) | MNL4(10) (n=2000) |
| Metric | Mean Dimension Estimate |
| 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 Dimension Estimate](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl4-10-n-2000.md?metric=Mean%20Dimension%20Estimate>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Mean Dimension Estimate | Result date | Report paper |
| --- | --- | --- | --- |
| Local PCA | 16.07 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLS | 10.92 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| QE | 9.34 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| CA-PCA | 9.16 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| DanCo | 7 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TwoNN | 6.45 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MLE | 6.06 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MADA | 5.93 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLE | 5.42 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| Wasserstein | 3.62 | Not recorded | 68fa7c2b1e209131cea8cd5d |

### Local PCA

Mean Dimension Estimate: 16.07. Result ID: 6a06c8f147f34ce924edf40e.

[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: 10.92. Result ID: 6a06c8f147f34ce924edf417.

[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.

### QE

Mean Dimension Estimate: 9.34. Result ID: 6a06c8f147f34ce924edf416.

[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 Dimension Estimate: 9.16. Result ID: 6a06c8f147f34ce924edf40f.

[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.

### DanCo

Mean Dimension Estimate: 7. Result ID: 6a06c8f147f34ce924edf410.

[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: 6.45. Result ID: 6a06c8f147f34ce924edf411.

[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: 6.06. Result ID: 6a06c8f147f34ce924edf412.

[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 Dimension Estimate: 5.93. Result ID: 6a06c8f147f34ce924edf414.

[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 Dimension Estimate: 5.42. Result ID: 6a06c8f147f34ce924edf413.

[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 Dimension Estimate: 3.62. Result ID: 6a06c8f147f34ce924edf415.

[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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