Download Algorithmic Advances in Riemannian Geometry and by Hà Quang Minh,Vittorio Murino PDF

By Hà Quang Minh,Vittorio Murino

This booklet offers a variety of the newest algorithmic advances in Riemannian geometry within the context of desktop studying, facts, optimization, computer vision, and similar fields. The unifying subject of different chapters within the book is the exploitation of the geometry of information utilizing the mathematical equipment of Riemannian geometry. As verified via all of the chapters within the publication, while the data is intrinsically non-Euclidean, the usage of this geometrical info can lead to greater algorithms which may seize extra properly the buildings inherent in the data, top 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 a number of very important examine instructions which are at present actively pursued by researchers within the box. those comprise 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 class, motion acceptance, and movement tracking.

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Read or Download Algorithmic Advances in Riemannian Geometry and Applications: For Machine Learning, Computer Vision, Statistics, and Optimization (Advances in Computer Vision and Pattern Recognition) PDF

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