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Titlebook: Open Problems in Spectral Dimensionality Reduction; Harry Strange,Reyer Zwiggelaar Book 2014 The Author(s) 2014 Big Data.Machine Learning.

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书目名称Open Problems in Spectral Dimensionality Reduction
编辑Harry Strange,Reyer Zwiggelaar
视频video
概述Provides a clear and concise overview of spectral dimensionality reduction.Offers uniquely practical knowledge without requiring a background in the area.Suggests interesting starting points for futur
丛书名称SpringerBriefs in Computer Science
图书封面Titlebook: Open Problems in Spectral Dimensionality Reduction;  Harry Strange,Reyer Zwiggelaar Book 2014 The Author(s) 2014 Big Data.Machine Learning.
描述The last few years have seen a great increase in the amount of data available to scientists, yet many of the techniques used to analyse this data cannot cope with such large datasets. Therefore, strategies need to be employed as a pre-processing step to reduce the number of objects or measurements whilst retaining important information. Spectral dimensionality reduction is one such tool for the data processing pipeline. Numerous algorithms and improvements have been proposed for the purpose of performing spectral dimensionality reduction, yet there is still no gold standard technique. This book provides a survey and reference aimed at advanced undergraduate and postgraduate students as well as researchers, scientists, and engineers in a wide range of disciplines. Dimensionality reduction has proven useful in a wide range of problem domains and so this book will be applicable to anyone with a solid grounding in statistics and computer science seeking to apply spectral dimensionality to their work.
出版日期Book 2014
关键词Big Data; Machine Learning; Manifold Learning Algorithms; Nonlinear Dimensionality Reduction (NLDR); Pri
版次1
doihttps://doi.org/10.1007/978-3-319-03943-5
isbn_softcover978-3-319-03942-8
isbn_ebook978-3-319-03943-5Series ISSN 2191-5768 Series E-ISSN 2191-5776
issn_series 2191-5768
copyrightThe Author(s) 2014
The information of publication is updating

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Spectral Dimensionality Reduction,In this chapter a common mathematical framework is provided which forms the basis for subsequent chapters. Generic aspects are covered, after which specific dimensionality reduction approaches are briefly described.
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Postscript,In this “postscript” a number of aspects are discussed which include how to measure success, non-spectral dimensionality techniques, and also available implementations. The chapter concludes with future research considerations.
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Modelling the Manifold, graphs, and automatic estimation of relevant parameters; how manifold modelling techniques deal with various topologies of the data; and the problem of noise. Each of these aspects are supported by an illustrative example. The interaction between these key issues is also discussed.
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Intrinsic Dimensionality,nvalues and also local and global aspects of the data. In addition, limitations of existing dimensionality reduction approaches are discussed, especially with respect to the range of possible embedding dimensions and reduced performance at higher embedding dimensionalities.
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