# Classification on Circles Manifold 3D (test) Source: [Classification on Circles Manifold 3D (test)]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:32:10.324Z Evaluation of Classification performance on the test split of the Circles Manifold 3D dataset, measured using accuracy. 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 | Classification | | Dataset (including any stated split) | Circles Manifold 3D (test) | | Metric | Accuracy | | Unit | PERCENT | | Direction | Higher is better | | Results loaded | 18 of 18 | | 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 - [Accuracy](): Higher is better; unit: PERCENT. ## Recorded results | Method | Accuracy | Result date | Report paper | | --- | --- | --- | --- | | Isomap | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | LDA | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | Isomap | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-LE | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-LDA | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-Isomap | 100 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-PGA | 99.4 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-RPCA | 99.4 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-ONPP | 99.4 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | PCA | 80 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | PCA | 78.9 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-Isomap | 58.9 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-PGA | 57.8 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-RPCA | 57.8 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-LE | 56.7 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-ONPP | 56.1 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | R-LDA | 54.4 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | | LDA | 48.9 | Not recorded | 698575dcc97a0b3e3b5d5ec5 | ### Isomap Accuracy: 100. Result ID: 6998ed525698665ec451df37. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### LDA Accuracy: 100. Result ID: 6998ed525698665ec451df48. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### Isomap Accuracy: 100. Result ID: 6998ed525698665ec451df49. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-LE Accuracy: 100. Result ID: 6998ed525698665ec451df4d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-LDA Accuracy: 100. Result ID: 6998ed525698665ec451df4e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-Isomap Accuracy: 100. Result ID: 6998ed525698665ec451df4f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-PGA Accuracy: 99.4. Result ID: 6998ed525698665ec451df4a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-RPCA Accuracy: 99.4. Result ID: 6998ed525698665ec451df4b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-ONPP Accuracy: 99.4. Result ID: 6998ed525698665ec451df4c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### PCA Accuracy: 80. Result ID: 6998ed525698665ec451df35. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### PCA Accuracy: 78.9. Result ID: 6998ed525698665ec451df47. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-Isomap Accuracy: 58.9. Result ID: 6998ed525698665ec451df3d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-PGA Accuracy: 57.8. Result ID: 6998ed525698665ec451df38. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-RPCA Accuracy: 57.8. Result ID: 6998ed525698665ec451df39. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-LE Accuracy: 56.7. Result ID: 6998ed525698665ec451df3b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-ONPP Accuracy: 56.1. Result ID: 6998ed525698665ec451df3a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### R-LDA Accuracy: 54.4. Result ID: 6998ed525698665ec451df3c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Type":"Riemannian","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. ### LDA Accuracy: 48.9. Result ID: 6998ed525698665ec451df36. [Reporting paper]() Recorded evaluation configuration: {"Type":"Euclidean","Number of components (nc)":3,"Subsampling strategy":"stratified, max 2000 samples"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.