Algorithmic Advances in Riemannian Geometry and Applications - For Machine Learning, Computer Vision, Statistics, and Optimization (Hardcover, 1st ed. 2016)

This book presents a selection of the most recent algorithmic advances in Riemannian geometry in the context of machine learning, statistics, optimization, computer vision, and related fields. The unifying theme of the different chapters in the book is the exploitation of the geometry of data using the mathematical machinery of Riemannian geometry. As demonstrated by all the chapters in the book, when the data is intrinsically non-Euclidean, the utilization of this geometrical information can lead to better algorithms that can capture more accurately the structures inherent in the data, leading ultimately to better empirical performance. This book is not intended to be an encyclopedic compilation of the applications of Riemannian geometry. Instead, it focuses on several important research directions that are currently actively pursued by researchers in the field. These include statistical modeling and analysis on manifolds,optimization on manifolds, Riemannian manifolds and kernel methods, and dictionary learning and sparse coding on manifolds. Examples of applications include novel algorithms for Monte Carlo sampling and Gaussian Mixture Model fitting, 3D brain image analysis,image classification, action recognition, and motion tracking.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Advances in Computer Vision and Pattern Recognition
Release date:	October 2016
First published:	2016
Editors:	Ha Quang Minh • Vittorio Murino
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	208
Edition:	1st ed. 2016
ISBN-13:	978-3-319-45025-4
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software Books > Computing & IT > Applications of computing > Artificial intelligence > General
LSN:	3-319-45025-5
Barcode:	9783319450254

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