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Geometric structure of high-dimensional data and dimensionality reduction
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ISBN: 364227496X 9786613695369 3642274978 1280784970 Year: 2012 Publisher: New York : Springer,

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"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers.  The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists. Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.

Keywords

Pattern perception. --- Dimension reduction (Statistics) --- Computational complexity. --- Visualization. --- Dimensionality reduction (Statistics) --- Reduction, Dimension (Statistics) --- Reduction, Dimensionality (Statistics) --- Computer science. --- Data structures (Computer science). --- Mathematical statistics. --- Data mining. --- Applied mathematics. --- Engineering mathematics. --- Computer Science. --- Data Mining and Knowledge Discovery. --- Probability and Statistics in Computer Science. --- Applications of Mathematics. --- Data Structures, Cryptology and Information Theory. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Visualisation --- Imagery (Psychology) --- Imagination --- Visual perception --- Statistics --- Mathematics. --- Data structures (Computer scienc. --- Data Structures and Information Theory. --- Math --- Science --- Informatics --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Database searching --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Statistical methods


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Geometric Structure of High-Dimensional Data and Dimensionality Reduction
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ISBN: 9783642274978 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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Book
Materials and manufacturing
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ISBN: 9783038136293 3038136298 9783037852019 3037852011 Year: 2011 Publisher: Durnten-Zurich

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This collection of 301 peer-reviewed papers reflects a meeting of academic research and industry applications, the sharing of R&D experience and the discussion of innovative achievements in the field of materials and manufacturing. It will not only furnish readers with a broad overview of the latest advances, but also provide a valuable summary and reference work for researchers in this field. Review from Book News Inc.: The 301 articles in this two-volume set are drawn from the International Conference on Materials and Manufacturing (ICMM), held in Jinzhou, China, in September 2011, and are m


Book
Geometric Structure of High-Dimensional Data and Dimensionality Reduction
Authors: ---
ISBN: 9783642274978 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers.  The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists. Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.

Real analysis : with an introduction to wavelets and applications
Authors: --- ---
ISBN: 1281027197 9786611027193 0080540317 0123548616 9780123548610 9780080540313 9781281027191 661102719X Year: 2005 Publisher: Amsterdam ; Boston : Elsevier Academic Press,

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An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, a popular topic in ""applied real analysis"". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral,harmonic analysis and wavelet theory with many associated applications.*The text is relatively elementary at the start, but the level of difficulty steadily increases*The book contains many clear, detailed examples, case studies and exercises*Many real world applications relating to

Real analysis : with an introduction to wavelets and applications
Authors: --- ---
ISBN: 9780123548610 0123548616 9780080540313 0080540317 1281027197 9781281027191 9786611027193 661102719X Year: 2005 Publisher: Boston Elsevier Academic Press

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An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. *The text is relatively elementary at the start, but the level of difficulty steadily increases *The book contains many clear, detailed examples, case studies and exercises *Many real world applications relating to measure theory and pure analysis *Introduction to wavelet analysis.


Book
Porous metals and metallic foams
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ISBN: 152312282X 3035732310 9783035732313 9781523122820 9783035712315 Year: 2018 Publisher: Zurich, Switzerland

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