Cross-product penalized component analysis (X-CAN)
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Cross-product penalized component analysis (X-CAN). / Camacho, Jose; Acar, Evrim; Rasmussen, Morten A.; Bro, Rasmus.
In: Chemometrics and Intelligent Laboratory Systems, Vol. 203, 104038, 2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Cross-product penalized component analysis (X-CAN)
AU - Camacho, Jose
AU - Acar, Evrim
AU - Rasmussen, Morten A.
AU - Bro, Rasmus
PY - 2020
Y1 - 2020
N2 - Matrix factorization methods are extensively employed to understand complex data. In this paper, we introduce the cross-product penalized component analysis (X-CAN), a matrix factorization based on the optimization of a loss function that allows a trade-off between variance maximization and structural preservation, with a focus on highlighting differences between groups of observations and/or variables. The approach is based on previous developments, notably (i) the Sparse Principal Component Analysis (SPCA) framework based on the LASSO, (ii) extensions of SPCA to constrain both modes of the factorization, like co-clustering or the Penalized Matrix Decomposition (PMD), and (iii) the Group-wise Principal Component Analysis (GPCA) method. The result is a flexible modeling approach that can be used for data exploration in a large variety of problems. We demonstrate its use with applications from different disciplines.
AB - Matrix factorization methods are extensively employed to understand complex data. In this paper, we introduce the cross-product penalized component analysis (X-CAN), a matrix factorization based on the optimization of a loss function that allows a trade-off between variance maximization and structural preservation, with a focus on highlighting differences between groups of observations and/or variables. The approach is based on previous developments, notably (i) the Sparse Principal Component Analysis (SPCA) framework based on the LASSO, (ii) extensions of SPCA to constrain both modes of the factorization, like co-clustering or the Penalized Matrix Decomposition (PMD), and (iii) the Group-wise Principal Component Analysis (GPCA) method. The result is a flexible modeling approach that can be used for data exploration in a large variety of problems. We demonstrate its use with applications from different disciplines.
KW - Data interpretation
KW - Group-wise principal component analysis
KW - Principal component analysis
KW - Sparse principal component analysis
KW - Sparsity
U2 - 10.1016/j.chemolab.2020.104038
DO - 10.1016/j.chemolab.2020.104038
M3 - Journal article
AN - SCOPUS:85087277428
VL - 203
JO - Chemometrics and Intelligent Laboratory Systems
JF - Chemometrics and Intelligent Laboratory Systems
SN - 0169-7439
M1 - 104038
ER -
ID: 244687148