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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Functional and Shape Data Analysis
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Functional and Shape Data Analysis
Eric P. Klassen (Taschenbuch, Englisch)
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Beschreibung
This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad… range of ideas covered—from introductory theory to algorithmic implementations and some statistical case studies—is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges. Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves—in one, two, and higher dimensions—both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation. 117,69 €
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Technische Daten
Erscheinungsdatum
14.06.2018
Sprache
Englisch
EAN
9781493981557
Herausgeber
Springer US
Serien- oder Bandtitel
Springer Series in Statistics
Sonderedition
Nein
Autor
Eric P. Klassen
Seitenanzahl
447
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Schlagwörter
Riemannian methods, shape analysis, function data analysis, curves, mathematical representations, vector-space-based statistical analyses, square-root representations, geodesic
Thema-Inhalt
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBKF - Funktionalanalysis und Abwandlungen
PBM - Geometrie
Höhe
254 mm
Breite
17.8 cm
Transparenz & Sicherheit
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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