A New Orthogonal Discriminant Projection Based Prediction Method for Bioinformatic Data
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Tensor-based transductive learning for multimodality video semantic concept detection
IEEE Transactions on Multimedia
Face recognition using a color PCA framework
ICVS'08 Proceedings of the 6th international conference on Computer vision systems
Journal of Biomedical Imaging - Special issue on Machine Learning in Medical Imaging
A supervised orthogonal discriminant projection for tumor classification using gene expression data
Computers in Biology and Medicine
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In this paper, we first briefly reintroduce the 1D and 2D forms of the classical Principal Component Analysis (PCA). Then, the PCA technique is further developed and extended to an arbitrary n-dimensional space. Analogous to 1D- and 2D-PCA, the new nD-PCA is applied directly to n-order tensors (n . 3) rather than 1-order tensors (1D vectors) and 2-order tensors (2D matrices). In order to avoid the difficulties faced by tensors computations (such as the multiplication, general transpose and Hermitian symmetry of tensors), our proposed nD-PCA algorithm has to exploit a newly proposed Higher-Order Singular Value Decomposition (HO-SVD). To evaluate the validity and performance of nD-PCA, a series of experiments are performed on the FRGC 3D scan facial database.