# Intrinsic Dimension Estimation on MNL4 true dimension d=10 n=500 Source: [Intrinsic Dimension Estimation on MNL4 true dimension d=10 n=500]() Collection index: [llms.txt]() Data updated: 2026-05-15T07:19:20.226Z Evaluation of Intrinsic Dimension Estimation performance on the synthetic MNL4 dataset, where the true dimension is 10 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) | MNL4 true dimension d=10 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](): Higher is better; unit: SCALAR. - [Std Dev of Estimate](): Lower is better; unit: SCALAR. ## Recorded results | Method | Mean Dimension Estimate | Result date | Report paper | | --- | --- | --- | --- | | Local PCA | 24.17 | Not recorded | 68fa7c2b1e209131cea8cd5d | | TLS | 10.96 | Not recorded | 68fa7c2b1e209131cea8cd5d | | CA-PCA | 9.08 | Not recorded | 68fa7c2b1e209131cea8cd5d | | QE | 9.08 | Not recorded | 68fa7c2b1e209131cea8cd5d | | DanCo | 6.36 | Not recorded | 68fa7c2b1e209131cea8cd5d | | TwoNN | 6.11 | Not recorded | 68fa7c2b1e209131cea8cd5d | | MLE | 5.63 | Not recorded | 68fa7c2b1e209131cea8cd5d | | MADA | 5.47 | Not recorded | 68fa7c2b1e209131cea8cd5d | | TLE | 4.78 | Not recorded | 68fa7c2b1e209131cea8cd5d | | Wasserstein | 3.17 | Not recorded | 68fa7c2b1e209131cea8cd5d | ### Local PCA Mean Dimension Estimate: 24.17. Result ID: 6a06c8f147f34ce924edf3c9. [Reporting paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### TLS Mean Dimension Estimate: 10.96. Result ID: 6a06c8f147f34ce924edf3d2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### CA-PCA Mean Dimension Estimate: 9.08. Result ID: 6a06c8f147f34ce924edf3ca. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### QE Mean Dimension Estimate: 9.08. Result ID: 6a06c8f147f34ce924edf3d1. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### DanCo Mean Dimension Estimate: 6.36. Result ID: 6a06c8f147f34ce924edf3cb. [Reporting paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### TwoNN Mean Dimension Estimate: 6.11. Result ID: 6a06c8f147f34ce924edf3cc. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### MLE Mean Dimension Estimate: 5.63. Result ID: 6a06c8f147f34ce924edf3cd. [Reporting paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### MADA Mean Dimension Estimate: 5.47. Result ID: 6a06c8f147f34ce924edf3cf. [Reporting paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### TLE Mean Dimension Estimate: 4.78. Result ID: 6a06c8f147f34ce924edf3ce. [Reporting paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. ### Wasserstein Mean Dimension Estimate: 3.17. Result ID: 6a06c8f147f34ce924edf3d0. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n (sample size)":"500","Number of replicates":"100"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.