K | total number of datasets, k = 1.. K |
I | number of rows (objects) |
J k | number of columns (variables) for matrix k |
J | total number of variables (∑1 K J k ) |
c c | number of components for common part |
c k | number of components for distinctive part of matrix k |
c t | total number of components ((∑ k = 1 K c k ) + c c ) |
X k | data matrix (I × J k ) |
X | concatenated data matrix [X k | … |X K ](I × J) |
C k | common part of matrix k (I × J k ) |
C | concatenated common parts [C k | … |C K ](I × J) |
D k | distinctive part of matrix k (I × J k ) |
D | concatenated distinctive parts [D k | … |D K ] (I × J) |
E k | the residual error of matrix k (I × J k ) |
E | concatenated residual errors [E k | … |E K ] (I × J) |
T sca | scores of SCA model (corresponds to objects) (I × J t ) |
P sca | loadings of SCA model (corresponds to variables) (J × c t ) |
P* | rotation target loading in DISCO model (J × c t ) |
B | rotation matrix in DISCO (c t × c t ) |
W | weight matrix (used in DISCO) to penalize rotation matrix (J × c t ) |
T c | common scores (SCA and JIVE) (I × c c ) |
P c | common loadings (JIVE) (I × c c ) |
| common scores (O2-PLS) for matrix k (I × c c ) |
| common loadings for matrix k (J k × c c ) |
| distinctive scores for matrix k (I × c k ) |
| distinctive loadings for matrix k (J k × c k ) |
∘ | Hadamard (element-wise) matrix product |