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Titlebook: Regression and Fitting on Manifold-valued Data; Ines Adouani,Chafik Samir Textbook 2024 The Editor(s) (if applicable) and The Author(s), u

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發(fā)表于 2025-3-21 18:07:35 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Regression and Fitting on Manifold-valued Data
編輯Ines Adouani,Chafik Samir
視頻videohttp://file.papertrans.cn/826/825518/825518.mp4
概述Covers the topic in a step-by-step manner.Includes simulations for understanding and potential experiments for a wide range of applications.Covers optimization on most used manifolds in machine learni
圖書封面Titlebook: Regression and Fitting on Manifold-valued Data; Ines Adouani,Chafik Samir Textbook 2024 The Editor(s) (if applicable) and The Author(s), u
描述.This book introduces in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds. The methodology has important and varied applications in machine learning, medicine, robotics, biology, computer vision, human biometrics, nanomanufacturing, signal processing, and image analysis, etc...The first chapter gives? motivation examples, a wide range of applications, raised challenges,? raised challenges, and some concerns.? The second chapter gives a comprehensive exploration and step-by-step illustrations for Euclidean cases. Another dedicated chapter covers? the geometric tools needed for each manifold and provides expressions and key notions for any application for manifold-valued data.?..All loss functions and optimization methods are given as algorithms and can be easily implemented. In particular, many popular manifolds are considered with? derived and specific formulations. The same philosophy is used in all chapters and all novelties are illustrated with intuitive examples. Additionally, each chapter includes simulations and experiments? on real-world problems for understanding and potential extensions
出版日期Textbook 2024
關(guān)鍵詞manifolds; spline; fitting; regression; optimization
版次1
doihttps://doi.org/10.1007/978-3-031-61712-6
isbn_softcover978-3-031-61714-0
isbn_ebook978-3-031-61712-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:28:33 | 只看該作者
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used in all chapters and all novelties are illustrated with intuitive examples. Additionally, each chapter includes simulations and experiments? on real-world problems for understanding and potential extensions978-3-031-61714-0978-3-031-61712-6
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Textbook 2024 manifolds are considered with? derived and specific formulations. The same philosophy is used in all chapters and all novelties are illustrated with intuitive examples. Additionally, each chapter includes simulations and experiments? on real-world problems for understanding and potential extensions
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發(fā)表于 2025-3-22 16:46:12 | 只看該作者
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發(fā)表于 2025-3-22 20:33:14 | 只看該作者
Ines Adouani,Chafik Samireergebnisse zur Fl?chenneuinanspruchnahme von Siedlungs- und Verkehrsfl?chen (SuV-Fl?chen), differenziert nach Bundesl?ndern und bestimmten Nutzungsarten, für die Bezugsjahre 2010 und 2015 vorgestellt. In einem Fazit wird auf die Voraussetzungen für eine geobasisdatenbasierte Erhebung der Fl?chenneu
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發(fā)表于 2025-3-23 00:48:31 | 只看該作者
Introduction,ng data on a general Euclidean space. A significant emphasis will be placed on a specific aspect involving Bézier curves and the de Casteljau algorithm. Our particular attention is on Bézier spline interpolations due to their simplicity, flexibility, and theoretical guarantees. Subsequently, the exp
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發(fā)表于 2025-3-23 09:35:19 | 只看該作者
,Spline Interpolation on?the?Sphere ,, and motion planning utilizing quaternions?[.,.,.,.]. One noteworthy example occurs in vector cardiograms, where the electrical activity of the heart during a heartbeat is represented as a nearly planar orbit in ..In this context, spherical splines offer an effective approach for modeling and analy
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