Kernel-based orthogonal projections to latent structures (K-OPLS)
2007 (English)In: Journal of Chemometrics, ISSN 0886-9383, E-ISSN 1099-128X, Vol. 21, no 7-9, 379-385 p.Article in journal (Refereed) Published
The orthogonal projections to latent structures (OPLS) method has been successfully applied in various chemical and biological systems for modeling and interpretation of linear relationships between a descriptor matrix and response matrix. A kernel-based reformulation of the original OPLS algorithm is presented where the kernel Gram matrix is utilized as a replacement for the descriptor matrix. This enables usage of the kernel trick to efficiently transform the data into a higher-dimensional feature space where predictive and response-orthogonal components are calculated. This strategy has the capacity to improve predictive performance considerably in situations where strong non-linear relationships exist between descriptor and response variables while retaining the OPLS model framework. We put particular focus on describing properties of the rearranged algorithm in relation to the original OPLS algorithm. Four separate problems, two simulated and two real spectroscopic data sets, are employed to illustrate how the algorithm enables separate modeling of predictive and response-orthogonal variation in the feature space. This separation can be highly beneficial for model interpretation purposes while providing a flexible framework for supervised regression.
Place, publisher, year, edition, pages
2007. Vol. 21, no 7-9, 379-385 p.
K-OPLS, kernel methods, non-linear, OSC, OPLS, SVM, Kernel PLS
IdentifiersURN: urn:nbn:se:umu:diva-16181DOI: doi:10.1002/cem.1071OAI: oai:DiVA.org:umu-16181DiVA: diva2:155854