# Intrinsic Dimension Estimation on MNL2 true dimension d=4 n=500

Source: [Intrinsic Dimension Estimation on MNL2 true dimension d=4 n=500](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl2-true-dimension-d-4-n-500>)

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

Data updated: 2026-05-15T07:19:20.173Z

Evaluation of Intrinsic Dimension Estimation performance on the synthetic MNL2 dataset, where the true dimension is 4 and the sample size is 500.

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) | MNL2 true dimension d=4 n=500 |
| 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-mnl2-true-dimension-d-4-n-500.md?metric=Mean%20Dimension%20Estimate>): Higher is better; unit: SCALAR.

- [Standard Deviation](<https://www.sota2.com/research/sota/intrinsic-dimension-estimation-on-mnl2-true-dimension-d-4-n-500.md?metric=Standard%20Deviation>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Mean Dimension Estimate | Result date | Report paper |
| --- | --- | --- | --- |
| CA-PCA | 5.16 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| DanCo | 4.9 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| QE | 4.66 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| Local PCA | 4.64 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLS | 4.56 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TwoNN | 3.8 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| TLE | 3.67 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MLE | 3.64 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| MADA | 3.56 | Not recorded | 68fa7c2b1e209131cea8cd5d |
| Wasserstein | 3.43 | Not recorded | 68fa7c2b1e209131cea8cd5d |

### CA-PCA

Mean Dimension Estimate: 5.16. Result ID: 6a06c8f147f34ce924edf3b6.

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

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### DanCo

Mean Dimension Estimate: 4.9. Result ID: 6a06c8f147f34ce924edf3b7.

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### QE

Mean Dimension Estimate: 4.66. Result ID: 6a06c8f147f34ce924edf3bd.

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

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### Local PCA

Mean Dimension Estimate: 4.64. Result ID: 6a06c8f147f34ce924edf3b5.

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### TLS

Mean Dimension Estimate: 4.56. Result ID: 6a06c8f147f34ce924edf3be.

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

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### TwoNN

Mean Dimension Estimate: 3.8. Result ID: 6a06c8f147f34ce924edf3b8.

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

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### TLE

Mean Dimension Estimate: 3.67. Result ID: 6a06c8f147f34ce924edf3ba.

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### MLE

Mean Dimension Estimate: 3.64. Result ID: 6a06c8f147f34ce924edf3b9.

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### MADA

Mean Dimension Estimate: 3.56. Result ID: 6a06c8f147f34ce924edf3bb.

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

### Wasserstein

Mean Dimension Estimate: 3.43. Result ID: 6a06c8f147f34ce924edf3bc.

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

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

Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction.

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