Extension of PCA to Higher Order Data Structures: An Introduction to Tensors, Tensor Decompositions, and Tensor PCA.
Ali ZareAlp OzdemirMark A. IwenSelin AviyentePublished in: Proc. IEEE (2018)
Keyphrases
- higher order
- high order
- tensor analysis
- principal component analysis
- dimensionality reduction
- principal components analysis
- diffusion tensor
- data structure
- principal components
- tensor space
- pairwise
- singular value decomposition
- independent component analysis
- tensor field
- principle component analysis
- tensor factorization
- tensor decomposition
- order tensor
- higher order tensors
- linear discriminant analysis
- feature extraction
- negative matrix factorization
- appearance based object recognition
- face recognition
- high dimensional
- markov random field
- face images
- image processing
- k means
- valued data
- diffusion tensor imaging
- natural images
- kernel pca
- svm classifier
- covariance matrix
- suffix tree