Hà Quang Minh,Vittorio Murino's Algorithmic Advances in Riemannian Geometry and PDF

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By Hà Quang Minh,Vittorio Murino

This ebook offers a range of the newest algorithmic advances in Riemannian geometry within the context of desktop studying, records, optimization, computer vision, and similar fields. The unifying subject matter of the various chapters within the book is the exploitation of the geometry of knowledge utilizing the mathematical equipment of Riemannian geometry. As proven by way of all of the chapters within the ebook, while the data is intrinsically non-Euclidean, the usage of this geometrical info can lead to greater algorithms that may trap extra competently the buildings inherent in the data, best finally to higher empirical functionality. This publication isn't really meant to be an encyclopedic compilation of the purposes of Riemannian geometry. as a substitute, it focuses on a number of very important learn instructions which are presently actively pursued by researchers within the box. those comprise statistical modeling and research on manifolds,optimization on manifolds, Riemannian manifolds and kernel equipment, and dictionary learning and sparse coding on manifolds. Examples of purposes comprise novel algorithms for Monte Carlo sampling and Gaussian combination version becoming,  3D mind picture analysis,image category, motion attractiveness, 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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