Get Algorithmic Advances in Riemannian Geometry and PDF

By Hà Quang Minh,Vittorio Murino

This e-book provides a variety of the newest algorithmic advances in Riemannian geometry within the context of laptop studying, records, optimization, computer vision, and similar fields. The unifying topic of the various chapters within the book is the exploitation of the geometry of information utilizing the mathematical equipment of Riemannian geometry. As confirmed via all of the chapters within the ebook, while the data is intrinsically non-Euclidean, the usage of this geometrical details can lead to greater algorithms which can seize extra appropriately the constructions inherent in the data, prime finally to higher empirical functionality. This e-book isn't meant to be an encyclopedic compilation of the functions of Riemannian geometry. as a substitute, it focuses on a number of vital study instructions which are at the moment 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 functions contain novel algorithms for Monte Carlo sampling and Gaussian combination version becoming,  3D mind snapshot analysis,image type, motion reputation, and movement tracking.

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