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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Nonlinear Dimensionality Reduction
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Nonlinear Dimensionality Reduction
John A. Lee, Michel Verleysen (Gebundene Ausgabe, Englisch)
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Beschreibung
Methods of dimensionality reduction provide a way to understand and visualize the structure of complex data sets. Traditional methods like principal component analysis and classical metric multidimensional scaling suffer from being based on linear models. Until recently, very few methods were able to reduce the data dimensionality in a nonlinear way. However, since the late nineties, many new… methods have been developed and nonlinear dimensionality reduction, also called manifold learning, has become a hot topic. New advances that account for this rapid growth are, e.g. the use of graphs to represent the manifold topology, and the use of new metrics like the geodesic distance. In addition, new optimization schemes, based on kernel techniques and spectral decomposition, have lead to spectral embedding, which encompasses many of the recently developed methods. This book describes existing and advanced methods to reduce the dimensionality of numerical databases. For each method, the description starts from intuitive ideas, develops the necessary mathematical details, and ends by outlining the algorithmic implementation. Methods are compared with each other with the help of different illustrative examples. The purpose of the book is to summarize clear facts and ideas about well-known methods as well as recent developments in the topic of nonlinear dimensionality reduction. With this goal in mind, methods are all described from a unifying point of view, in order to highlight their respective strengths and shortcomings. The book is primarily intended for statisticians, computer scientists and data analysts. It is also accessible to other practitioners having a basic background in statistics and/or computational learning, like psychologists (in psychometry) and economists. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.12.2007
Sprache
Englisch
EAN
9780387393506
Herausgeber
Springer US
Serien- oder Bandtitel
Information Science and Statistics
Sonderedition
Nein
Autor
John A. Lee, Michel Verleysen
Seitenanzahl
309
Auflage
1
Einbandart
Gebundene Ausgabe
Schlagwörter
Principal component analysis, algorithms, computer, database, learning, multidimensional scaling, optimization, statistics, topology
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
UYAM - Mathematik für Informatiker
PBT - Wahrscheinlichkeitsrechnung und Statistik
UNF - Data Mining
UYQE - Wissensbasierte Systeme, Expertensysteme
UYZF - Informationsvisualisierung
UYQV - Maschinelles Sehen, Bildverstehen
UYQP - Mustererkennung
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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