A Study of Singular Value Decomposition in Data Reduction techniques
Yang-Kyu Shin
Abstract
Yang-Kyu Shin
Abstract
The singular value decomposition is a tool which is used to find a linear structure of reduced dimension and to give interpretation of the lower dimensional structure about multivariate data. In this paper the singular value decomposition is reviewed from both algebraic and geometric point of view and, is illustrated the way which the tool is used in the multivariate techniques finding a simpler geometric structure for the data.
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The singular value decomposition is a tool which is used to find a linear structure of reduced dimension and to give interpretation of the lower dimensional structure about multivariate data. In this paper the singular value decomposition is reviewed from both algebraic and geometric point of view and, is illustrated the way which the tool is used in the multivariate techniques finding a simpler geometric structure for the data.
Key concepts: Singular value decomposition, Multivariate statistics, Mathematics, Decomposition, Dimension (graph theory), Singular value, Singular point of a curve, Value (mathematics)