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Geometric Science of Information [electronic resource] :First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings / edited by Frank Nielsen, Frédéric Barbaresco.

by Nielsen, Frank [editor.]; Barbaresco, Frédéric [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computer Science: 8085Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.Description: XX, 879 p. 157 illus. online resource.ISBN: 9783642400209.Subject(s): Computer science | Computer software | Computational complexity | Artificial intelligence | Computer graphics | Computer vision | Optical pattern recognition | Computer Science | Image Processing and Computer Vision | Artificial Intelligence (incl. Robotics) | Computer Graphics | Pattern Recognition | Discrete Mathematics in Computer Science | Algorithm Analysis and Problem ComplexityDDC classification: 006.6 | 006.37 Online resources: Click here to access online
Contents:
Geometric statistics on manifolds and Lie groups -- Deformations in shape spaces -- Differential Geometry in Signal Processing -- Relational Metric -- Discrete Metric Spaces -- Computational Information Geometry -- Computational Aspects of Information Geometry in Statistics -- Optimization on Matrix Manifolds -- Optimal Transport Theory -- Probability on Manifolds -- Divergence Geometry and Ancillarity -- Entropic Geometry -- Tensor-Valued Mathematical Morphology -- Machine/Manifold/Topology Learning -- Hessian Information Geometry -- Geometry of Audio Processing -- Geometry of Inverse Problems -- Algebraic/Infinite dimensional/Banach Information Manifolds -- Information Geometry Manifolds -- Algorithms on Manifolds.
In: Springer eBooksSummary: This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensionnal/Banach Information Manifolds, Information Geometry Manifolds,and Algorithms on Manifolds.
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Geometric statistics on manifolds and Lie groups -- Deformations in shape spaces -- Differential Geometry in Signal Processing -- Relational Metric -- Discrete Metric Spaces -- Computational Information Geometry -- Computational Aspects of Information Geometry in Statistics -- Optimization on Matrix Manifolds -- Optimal Transport Theory -- Probability on Manifolds -- Divergence Geometry and Ancillarity -- Entropic Geometry -- Tensor-Valued Mathematical Morphology -- Machine/Manifold/Topology Learning -- Hessian Information Geometry -- Geometry of Audio Processing -- Geometry of Inverse Problems -- Algebraic/Infinite dimensional/Banach Information Manifolds -- Information Geometry Manifolds -- Algorithms on Manifolds.

This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensionnal/Banach Information Manifolds, Information Geometry Manifolds,and Algorithms on Manifolds.

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