Algorithmic advances in Riemannian geometry and applications. For machine learning, computer vision, statistics, and optimization. (English) Zbl 1357.53004
Advances in Computer Vision and Pattern Recognition. Cham: Springer (ISBN 978-3-319-45025-4/hbk; 978-3-319-45026-1/ebook). xiv, 208 p. (2016).
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The articles of this volume will be reviewed individually.Indexed articles:
Zhang, Miaomiao; Fletcher, P. Thomas, Bayesian statistical shape analysis on the manifold of diffeomorphisms, 1-23 [Zbl 1356.62083]
Lan, Shiwei; Shahbaba, Babak, Sampling constrained probability distributions using spherical augmentation, 25-71 [Zbl 1395.62054]
Sra, Suvrit; Hosseini, Reshad, Geometric optimization in machine learning, 73-91 [Zbl 1401.68269]
Cherian, Anoop; Sra, Suvrit, Positive definite matrices: data representation and applications to computer vision, 93-114 [Zbl 1355.65031]
Minh, Hà Quang; Murino, Vittorio, From covariance matrices to covariance operators: data representation from finite to infinite-dimensional settings, 115-143 [Zbl 1353.62077]
Harandi, Mehrtash; Hartley, Richard; Salzmann, Mathieu; Trumpf, Jochen, Dictionary learning on Grassmann manifolds, 145-172 [Zbl 1376.94004]
Porikli, Fatih, Regression on Lie groups and its application to affine motion tracking, 173-185 [Zbl 1376.94006]
Duncan, Adam; Zhang, Zhengwu; Srivastava, Anuj, An elastic Riemannian framework for shape analysis of curves and tree-like structures, 187-205 [Zbl 1353.57022]
MSC:
| 53-06 | Proceedings, conferences, collections, etc. pertaining to differential geometry |
| 53C21 | Methods of global Riemannian geometry, including PDE methods; curvature restrictions |
| 68U05 | Computer graphics; computational geometry (digital and algorithmic aspects) |
| 68T05 | Learning and adaptive systems in artificial intelligence |
| 00B15 | Collections of articles of miscellaneous specific interest |
