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_aQA671 _b.A446 2016 |
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_aAlgorithmic Advances in Riemannian Geometry and Applications : _bfor Machine Learning, Computer Vision, Statistics, and Optimization _cedited by Hà Quang Minh, Vittorio Murino |
| 260 |
_aCham _bSpringer International Publishing _c2016 |
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| 300 |
_a1 recurso en línea (XIV, 208 páginas) _b55 ilustraciones, 51 ilustraciones en color |
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_aTexto _btxt _2rdacontent |
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_aelectrónico _bc _2rdamedia |
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_arecurso electrónico _bcr _2rdacarrier |
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_aAdvances in Computer Vision and Pattern Recognition _x2191-6586 |
|
| 505 | 0 | _aIntroduction -- Bayesian Statistical Shape Analysis on the Manifold of Diffeomorphisms -- Sampling Constrained Probability Distributions using Spherical Augmentation -- Geometric Optimization in Machine Learning -- Positive Definite Matrices: Data Representation and Applications to Computer Vision -- From Covariance Matrices to Covariance Operators: Data Representation from Finite to Infinite-Dimensional Settings -- Dictionary Learning on Grassmann Manifolds -- Regression on Lie Groups and its Application to Affine Motion Tracking -- An Elastic Riemannian Framework for Shape Analysis of Curves and Tree-Like Structures. | |
| 520 | 3 | _aThis 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. | |
| 650 | 7 |
_aEstadística matemática _0comprobar BNE19900966258 _2embne _9138936 |
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| 650 | 7 |
_aInteligencia artificial _0comprobar BNE19900997218 _2embne _9413115 |
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| 700 |
_aMinh, Hà Quang _eeditor literario _0Local _9100006 |
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| 700 |
_aMurino, Vittorio _eeditor literario _0Local _9100007 |
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_aSpringerLink (Online service) _0Local _9106996 |
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_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-45026-1 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid) |
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