Title | Spatially Weighted Principal Component Analysis for Imaging Classification. |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Guo, Ruixin, Mihye Ahn, and Hongtu Zhu |
Corporate Authors | Alzheimer's Disease Neuroimaging Initiative |
Journal | J Comput Graph Stat |
Volume | 24 |
Issue | 1 |
Pagination | 274-296 |
Date Published | 2015 Jan |
ISSN | 1061-8600 |
Abstract | The aim of this paper is to develop a supervised dimension reduction framework, called Spatially Weighted Principal Component Analysis (SWPCA), for high dimensional imaging classification. Two main challenges in imaging classification are the high dimensionality of the feature space and the complex spatial structure of imaging data. In SWPCA, we introduce two sets of novel weights including global and local spatial weights, which enable a selective treatment of individual features and incorporation of the spatial structure of imaging data and class label information. We develop an e cient two-stage iterative SWPCA algorithm and its penalized version along with the associated weight determination. We use both simulation studies and real data analysis to evaluate the finite-sample performance of our SWPCA. The results show that SWPCA outperforms several competing principal component analysis (PCA) methods, such as supervised PCA (SPCA), and other competing methods, such as sparse discriminant analysis (SDA). |
DOI | 10.1080/10618600.2014.912135 |
Alternate Journal | J Comput Graph Stat |
Original Publication | Spatially weighted principal component analysis for imaging classification. |
PubMed ID | 26089629 |
PubMed Central ID | PMC4467033 |
Grant List | UL1 TR001111 / TR / NCATS NIH HHS / United States U01 AG024904 / AG / NIA NIH HHS / United States KL2 TR001080 / TR / NCATS NIH HHS / United States UL1 TR002489 / TR / NCATS NIH HHS / United States TL1 TR001081 / TR / NCATS NIH HHS / United States R01 MH086633 / MH / NIMH NIH HHS / United States UL1 TR001082 / TR / NCATS NIH HHS / United States UL1 RR025747 / RR / NCRR NIH HHS / United States P01 CA142538 / CA / NCI NIH HHS / United States R01 CA074015 / CA / NCI NIH HHS / United States |
Spatially Weighted Principal Component Analysis for Imaging Classification.
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