Algorithmic Advances in Riemannian Geometry and - download pdf or read online

By Hà Quang Minh,Vittorio Murino

ISBN-10: 3319450255

ISBN-13: 9783319450254

This booklet offers a variety of the newest algorithmic advances in Riemannian geometry within the context of computer studying, statistics, optimization, computer vision, and comparable fields. The unifying topic of the several chapters within the book is the exploitation of the geometry of information utilizing the mathematical equipment of Riemannian geometry. As confirmed via the entire chapters within the e-book, while the data is intrinsically non-Euclidean, the usage of this geometrical info can lead to higher algorithms which may catch extra effectively the buildings inherent in the data, best eventually to raised empirical functionality. This ebook isn't really meant to be an encyclopedic compilation of the purposes of Riemannian geometry. in its place, it focuses on numerous vital examine instructions which are presently actively pursued by researchers within the box. those contain statistical modeling and research on manifolds,optimization on manifolds, Riemannian manifolds and kernel tools, and dictionary learning and sparse coding on manifolds. Examples of functions contain novel algorithms for Monte Carlo sampling and Gaussian mix version becoming,  3D mind photograph analysis,image category, motion popularity, and movement tracking.

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Algorithmic Advances in Riemannian Geometry and Applications: For Machine Learning, Computer Vision, Statistics, and Optimization (Advances in Computer Vision and Pattern Recognition) by Hà Quang Minh,Vittorio Murino


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