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High Dimensional Data Analysis - Softcover

 
9783639074215: High Dimensional Data Analysis

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A data mining and feature extraction technique called Signal Fraction Analysis (SFA) is introduced. The method is applicable to high dimensional data. The row-energy and column-energy optimization problems for signal-to-signal ratios are investigated. A generalized singular value problem is presented. This setting is distinguished from the Singular Value Decomposition (SVD). Two new generalized SVD type problems for computing subspace representations is introduced. A connection between SFA and Canonical Correlation Analysis is maintained. We implement and investigate a nonlinear extension to SFA based on a kernel method, i.e., Kernel SFA. We include a detailed derivation of the methodology using kernel principal component analysis as a prototype. These methods are compared using toy examples and the benefits of KSFA are illustrated. The book studies the applications of the proposed techniques in the brain EEG data analysis and beam- forming in wireless communication systems.

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A data mining and feature extraction technique called Signal Fraction Analysis (SFA) is introduced. The method is applicable to high dimensional data. The row-energy and column-energy optimization problems for signal-to-signal ratios are investigated. A generalized singular value problem is presented. This setting is distinguished from the Singular Value Decomposition (SVD). Two new generalized SVD type problems for computing subspace representations is introduced. A connection between SFA and Canonical Correlation Analysis is maintained. We implement and investigate a nonlinear extension to SFA based on a kernel method, i.e., Kernel SFA. We include a detailed derivation of the methodology using kernel principal component analysis as a prototype. These methods are compared using toy examples and the benefits of KSFA are illustrated. The book studies the applications of the proposed techniques in the brain EEG data analysis and beam- forming in wireless communication systems.

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Emdad, Fatemeh
ISBN 10: 3639074211 ISBN 13: 9783639074215
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Zustand: New. A data mining and feature extraction techniquecalled Signal Fraction Analysis (SFA) is introduced.The method is applicable to high dimensional data.The row-energy and column-energy optimizationproblems for signal-to-signal ratios areinvestigated.A generaliz. Artikel-Nr. 4954992

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Fatemeh Emdad
ISBN 10: 3639074211 ISBN 13: 9783639074215
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Taschenbuch. Zustand: Neu. Neuware - A data mining and feature extraction techniquecalled Signal Fraction Analysis (SFA) is introduced.The method is applicable to high dimensional data.The row-energy and column-energy optimizationproblems for signal-to-signal ratios areinvestigated.A generalized singular value problem is presented.This setting is distinguished from the SingularValue Decomposition (SVD).Two new generalized SVD type problems for computingsubspace representations is introduced. A connectionbetween SFA and Canonical Correlation Analysis ismaintained. We implement and investigate a nonlinearextension to SFA based on a kernel method, i.e.,Kernel SFA.We include a detailed derivation of the methodologyusing kernel principal component analysis as aprototype. These methods are compared using toyexamples and the benefits of KSFA are illustrated.The book studies the applications of the proposedtechniques in the brain EEG data analysis and beam-forming in wireless communication systems. Artikel-Nr. 9783639074215

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