Table 1.
Cluster tightness and separation (Davies-Bouldin, Calinski-Harabaz, Silhouette), as well as subclass recovery performance (Adjusted Mutual Information after hierarchical clustering), in explanation space (e) and feature space (f), in original dimensionality and post PCA, Isomap, and T-SNE. Higher values are better (except for Davies-Bouldin, where lower is better).
Data | Dim. Red. | Space | Davies-Bouldin | Calinski-Harabaz | Silhouette | Adjusted MI |
---|---|---|---|---|---|---|
Sythetic | None | (f) | 7.00 | 6.52 | 0.02 | 0.08 |
(e) | 1.11 | 192.62 | 0.46 | 0.59 | ||
PCA | (f) | 3.30 | 38.08 | 0.01 | 0.14 | |
(e) | 0.78 | 258.24 | 0.66 | 0.59 | ||
Isomap | (f) | 12.90 | 3.93 | -0.02 | 0.02 | |
(e) | 0.72 | 187.73 | 0.71 | 0.52 | ||
T-SNE | (f) | 29.45 | 0.61 | -0.02 | 0.00 | |
(e) | 0.29 | 2937.57 | 0.79 | 0.97 | ||
Fashion | None | (f) | 11.10 | 2.86 | -0.03 | 0.00 |
(e) | 1.32 | 205.45 | 0.30 | 0.61 | ||
PCA | (f) | 5.72 | 2.18 | -0.12 | 0.00 | |
(e) | 0.74 | 581.87 | 0.51 | 0.56 | ||
Isomap | (f) | 4.87 | 75.60 | -0.07 | 0.00 | |
(e) | 0.92 | 398.96 | 0.41 | 0.56 | ||
T-SNE | (f) | 2.30 | 65.03 | 0.12 | 0.13 | |
(e) | 0.69 | 768.13 | 0.52 | 0.71 | ||
UKBB | None | (f) | 4.24 | 26.38 | 0.04 | 0.04 |
(e) | 2.33 | 84.91 | 0.12 | 0.15 | ||
PCA | (f) | 2.53 | 57.65 | 0.07 | 0.05 | |
(e) | 1.54 | 152.25 | 0.21 | 0.14 | ||
Isomap | (f) | 2.60 | 60.75 | 0.08 | 0.04 | |
(e) | 1.74 | 122.90 | 0.21 | 0.14 | ||
T-SNE | (f) | 2.64 | 59.99 | 0.08 | 0.05 | |
(e) | 1.44 | 180.59 | 0.24 | 0.12 | ||
TCGA | None | (f) | 8.58 | 8.54 | 0.01 | 0.10 |
(e) | 2.64 | 57.37 | 0.13 | 0.68 | ||
PCA | (f) | 4.44 | 17.81 | -0.01 | 0.05 | |
(e) | 0.59 | 929.48 | 0.59 | 0.67 | ||
Isomap | (f) | 8.27 | 70.70 | 0.02 | 0.16 | |
(e) | 0.51 | 834.70 | 0.62 | 0.70 | ||
T-SNE | (f) | 5.03 | 106.36 | 0.11 | 0.28 | |
(e) | 0.51 | 1561.08 | 0.60 | 0.73 |