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Generalized Principal Component Analysis
Taschenbuch von René Vidal (u. a.)
Sprache: Englisch

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Beschreibung
This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc.
This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book.

René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.
This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc.
This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book.

René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.
Über den Autor

René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University.

Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University.

S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.

Zusammenfassung

Introduces fundamental statistical, geometric and algebraic concepts

Encompasses relevant data clustering and modeling methods in machine learning

Addresses a general class of unsupervised learning problems

Generalizes the theory and methods of principal component anaylsis to the cases when the data can be severely contaminated with errors and outliers as well as when the data may contain more than one low-dimensional subspace

Inhaltsverzeichnis

Preface.- Acknowledgments.- Glossary of Notation.- Introduction.- I Modeling Data with Single Subspace.- Principal Component Analysis.- Robust Principal Component Analysis.- Nonlinear and Nonparametric Extensions.- II Modeling Data with Multiple Subspaces.- Algebraic-Geometric Methods.- Statistical Methods.- Spectral Methods.- Sparse and Low-Rank Methods.- III Applications.- Image Representation.- Image Segmentation.- Motion Segmentation.- Hybrid System Identification.- Final Words.- Appendices.- References.- Index.

Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 600
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xxxii
566 S.
38 s/w Illustr.
83 farbige Illustr.
566 p. 121 illus.
83 illus. in color.
ISBN-13: 9781493979127
ISBN-10: 1493979124
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Vidal, René
Sastry, Shankar
Ma, Yi
Auflage: Softcover reprint of the original 1st ed. 2016
Hersteller: Springer US
Springer New York
Interdisciplinary Applied Mathematics
Maße: 235 x 155 x 33 mm
Von/Mit: René Vidal (u. a.)
Erscheinungsdatum: 14.04.2018
Gewicht: 0,896 kg
preigu-id: 114235402
Über den Autor

René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University.

Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University.

S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.

Zusammenfassung

Introduces fundamental statistical, geometric and algebraic concepts

Encompasses relevant data clustering and modeling methods in machine learning

Addresses a general class of unsupervised learning problems

Generalizes the theory and methods of principal component anaylsis to the cases when the data can be severely contaminated with errors and outliers as well as when the data may contain more than one low-dimensional subspace

Inhaltsverzeichnis

Preface.- Acknowledgments.- Glossary of Notation.- Introduction.- I Modeling Data with Single Subspace.- Principal Component Analysis.- Robust Principal Component Analysis.- Nonlinear and Nonparametric Extensions.- II Modeling Data with Multiple Subspaces.- Algebraic-Geometric Methods.- Statistical Methods.- Spectral Methods.- Sparse and Low-Rank Methods.- III Applications.- Image Representation.- Image Segmentation.- Motion Segmentation.- Hybrid System Identification.- Final Words.- Appendices.- References.- Index.

Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 600
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xxxii
566 S.
38 s/w Illustr.
83 farbige Illustr.
566 p. 121 illus.
83 illus. in color.
ISBN-13: 9781493979127
ISBN-10: 1493979124
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Vidal, René
Sastry, Shankar
Ma, Yi
Auflage: Softcover reprint of the original 1st ed. 2016
Hersteller: Springer US
Springer New York
Interdisciplinary Applied Mathematics
Maße: 235 x 155 x 33 mm
Von/Mit: René Vidal (u. a.)
Erscheinungsdatum: 14.04.2018
Gewicht: 0,896 kg
preigu-id: 114235402
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