Multilinear subspace learning : dimensionality reduction of multidimensional data /: dimensionality reduction of multidimensional data. (2013)

• Record Type: Book
• Further Information: Note: Haiping Lu, Konstantinos N. Plataniotis, Anastasios Venetsanopoulos.
• Authors: Lu, Haiping; Plataniotis, Konstantinos N; Venetsanopoulos, A. N (Anastasios N.), 1941-
• Contents: Introduction; Tensor Representation of Multidimensional Data; Dimensionality Reduction via Subspace Learning; Multilinear Mapping for Subspace Learning; Roadmap Fundamentals and Foundations; Linear Subspace Learning for Dimensionality Reduction; Principal Component Analysis; Independent Component Analysis; Linear Discriminant Analysis; Canonical Correlation Analysis; Partial Least Squares Analysis; Unified View of PCA, LDA, CCA, and PLS; Regularization and Model Selection; Ensemble Learning Fundamentals of Multilinear Subspace Learning; Multilinear Algebra Preliminaries; Tensor Decompositions; Multilinear Projections; Relationships among Multilinear Projections; Scatter Measures for Tensors and Scalars Overview of Multilinear Subspace Learning; Multilinear Subspace Learning Framework; PCA-Based MSL Algorithms; LDA-Based MSL Algorithms; History and Related Works; Future Research on MSL Algorithmic and Computational Aspects; Alternating Partial Projections for MSL; Initialization; Projection Order, Termination, and Convergence; Synthetic Data for Analysis of MSL Algorithms; Feature Selection for TTP-Based MSL; Computational Aspects (A Summary and Further Reading appear at the end of each chapter in this section.) Algorithms and Applications; Multilinear Principal Component Analysis; Generalized PCA; Multilinear PCA; Tensor Rank-One Decomposition; Uncorrelated Multilinear PCA; Boosting with MPCA; Other Multilinear PCA Extensions; ; Multilinear Discriminant Analysis; Two-Dimensional LDA; Discriminant Analysis with Tensor Representation; General Tensor Discriminant Analysis; Tensor Rank-One Discriminant Analysis; Uncorrelated Multilinear Discriminant Analysis; Other Multilinear Extensions of LDA; ; Multilinear ICA, CCA, and PLS; Overview of Multilinear ICA Algorithms; Multilinear Modewise ICA; Overview of Multilinear CCA Algorithms; Two-Dimensional CCA; Multilinear CCA; Multilinear PLS Algorithms; ; Applications of Multilinear Subspace Learning; Pattern Recognition System; Face Recognition; Gait Recognition; Visual Content Analysis in Computer Vision; Brain Signal/Image Processing in Neuroscience; DNA Sequence Discovery in Bioinformatics; Music Genre Classification in Audio Signal Processing; Data Stream Monitoring in Data Mining; Other MSL Applications Appendix A: Mathematical Background; Appendix B: Data and Preprocessing; Appendix C: Software Bibliography Index;
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2013
• Extent: 1 online resource, illustrations
• Subjects: 512.5; Multilinear algebra; Dimension theory (Algebra)
• Languages: English
• ISBNs: 9781439857298
• Notes: Note: Description based on CIP data; resource not viewed.
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