Multilinear Subspace Learning Dimensionality Reduction of Multidimensional Data Chapman & Hall/CRC Machine Learning & Pattern Recognition Series
Due to advances in sensor, storage, and networking technologies, data is being generated on a daily basis at an ever-increasing pace in a wide range of applications, including cloud computing, mobile Internet, and medical imaging. This large multidimensional data requires more efficient dimensionality reduction schemes than the traditional techniques. Addressing this need, multilinear subspace learning (MSL) reduces the dimensionality of big data directly from its natural multidimensional representation, a tensor.
Multilinear Subspace Learning: Dimensionality Reduction of Multidimensional Data gives a comprehensive introduction to both theoretical and practical aspects of MSL for the dimensionality reduction of multidimensional data based on tensors. It covers the fundamentals, algorithms, and applications of MSL.
Emphasizing essential concepts and system-level perspectives, the authors provide a foundation for solving many of today?s most interesting and challenging problems in big multidimensional data processing. They trace the history of MSL, detail recent advances, and explore future developments and emerging applications.
The book follows a unifying MSL framework formulation to systematically derive representative MSL algorithms. It describes various applications of the algorithms, along with their pseudocode. Implementation tips help practitioners in further development, evaluation, and application. The book also provides researchers with useful theoretical information on big multidimensional data in machine learning and pattern recognition. MATLAB® source code, data, and other materials are available at www.comp.hkbu.edu.hk/~haiping/MSL.html
Introduction. Fundamentals and Foundations: Linear Subspace Learning for Dimensionality Reduction. Fundamentals of Multilinear Subspace Learning. Overview of Multilinear Subspace Learning. Algorithmic and Computational Aspects. Algorithms and Applications: Multilinear Principal Component Analysis. Multilinear Discriminant Analysis. Multilinear ICA, CCA, and PLS. Applications of Multilinear Subspace Learning. Appendices. Bibliography. Index.
Date de parution : 12-2013
Ouvrage de 300 p.
15.6x23.4 cm
Thèmes de Multilinear Subspace Learning :
Mots-clés :
Multilinear Subspace Learning; Subspace Learning; efficient dimensionality reduction schemes for large multidimensional data; De Lathauwer; fundamentals; algorithms; and applications of multilinear subspace learning (MSL); Higher Order Tensors; reducing the dimensionality of big data; Multilinear Algebra; solving problems in big multidimensional data processing; Tucker Decomposition; multidimensional data in machine learning and pattern recognition; Generalize PCA; unifying MSL framework; Tensor Data; Tensor Decompositions; Gait Recognition; Total Scatter Matrix; Tensor Representations; Dimensionality Reduction; Arg Max; Total Scatter; Generalized Eigenvectors; Scatter Matrix; Face Images; Subspace Learning Algorithms; Variation Maximization Problem; EEG Signal; Music Genre Classification; Multilinear Mapping; Low Dimensional Matrix; Local Binary Patterns