Table 1. Proportion of variation accounted for by GSVD and DISCO-SCA for data generated to have a certain common and/or distinctive structure.
Imposed | GSVD | DISCO-SCA | Ad. GSVD | ||||||
X1 | X2 | X1 | X2 | X1 | X2 | X1 | X2 | ||
Distinctive | C1 | 0.00 | 0.48 | 0.00 | 0.50 | 0.01 | 0.50 | 0.01 | 0.50 |
C2 | 0.44 | 0.00 | 0.43 | 0.00 | 0.45 | 0.00 | 0.43 | 0.00 | |
C3 | 0.23 | 0.00 | 0.23 | 0.00 | 0.24 | 0.01 | 0.25 | 0.01 | |
C4 | 0.00 | 0.21 | 0.01 | 0.20 | 0.01 | 0.21 | 0.01 | 0.20 | |
C5 | 0.13 | 0.00 | 0.14 | 0.00 | 0.13 | 0.01 | 0.14 | 0.01 | |
C6 | 0.00 | 0.10 | 0.01 | 0.14 | 0.01 | 0.13 | 0.01 | 0.14 | |
Total | 0.80 | 0.80 | 0.82 | 0.84 | 0.85 | 0.86 | 0.85 | 0.86 | |
Common & Distinctive | C1 | 0.31 | 0.30 | 0.00 | 0.25 | 0.31 | 0.29 | 0.29 | 027 |
C2 | 0.20 | 0.19 | 0.15 | 0.00 | 0.20 | 0.19 | 0.22 | 0.20 | |
C3 | 0.20 | 0.00 | 0.15 | 0.00 | 0.20 | 0.01 | 0.01 | 0.25 | |
C4 | 0.00 | 0.20 | 0.06 | 0.08 | 0.01 | 0.25 | 0.20 | 0.01 | |
C5 | 0.11 | 0.00 | 0.04 | 0.10 | 0.12 | 0.01 | 0.01 | 0.12 | |
C6 | 0.00 | 0.10 | 0.01 | 0.12 | 0.01 | 0.12 | 0.12 | 0.01 | |
Total | 0.82 | 0.80 | 0.41 | 0.55 | 0.84 | 0.86 | 0.84 | 0.86 | |
Common | C1 | 0.27 | 0.27 | 0.06 | 0.11 | 0.28 | 0.29 | 0.23 | 0.23 |
C2 | 0.18 | 0.19 | 0.03 | 0.09 | 0.19 | 0.20 | 0.17 | 0.21 | |
C3 | 0.12 | 0.12 | 0.05 | 0.07 | 0.12 | 0.13 | 0.12 | 0.12 | |
C4 | 0.10 | 0.10 | 0.02 | 0.08 | 0.10 | 0.09 | 0.12 | 0.11 | |
C5 | 0.07 | 0.07 | 0.05 | 0.06 | 0.08 | 0.09 | 0.09 | 0.12 | |
C6 | 0.06 | 0.06 | 0.03 | 0.07 | 0.07 | 0.06 | 0.11 | 0.08 | |
Total | 0.79 | 079 | 0.24 | 0.48 | 0.84 | 0.86 | 0.84 | 0.86 |
Proportion of variation accounted for (VAF) by each of six components (the lines C1–C6) and their total (the ‘Total’ line). These are the six components with highest VAF in the concatenated data. In the left panel we show the proportion of VAF as imposed on each data block, while in the three panels at the right we show the proportion of VAF as recovered by GSVD, DISCO-SCA, and adapted GSVD. In the top panel all imposed components are distinctive, in the middle panel the components are a mix of common and distinctive components, and in the bottom panel all components are common.