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Titlebook: Geometric Science of Information; 5th International Co Frank Nielsen,Frédéric Barbaresco Conference proceedings 2021 Springer Nature Switze

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发表于 2025-3-21 19:38:50 | 显示全部楼层 |阅读模式
书目名称Geometric Science of Information
副标题5th International Co
编辑Frank Nielsen,Frédéric Barbaresco
视频videohttp://file.papertrans.cn/384/383604/383604.mp4
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Geometric Science of Information; 5th International Co Frank Nielsen,Frédéric Barbaresco Conference proceedings 2021 Springer Nature Switze
描述This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021..The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations; information geometry in physics; Lie group machine learning; geometric and symplectic methods for hydrodynamical models; harmonic analysis on Lie groups; statistical manifold and Hessian information geometry; geometric mechanics; deformed entropy, cross-entropy, and relative entropy; transformation information geometry; statistics, information and topology; geometric deep learning; topological and geometrical structures in neurosciences; computational information geometry; manifold and optimiza
出版日期Conference proceedings 2021
关键词artificial intelligence; computer vision; correlation analysis; image coding; image processing; image rec
版次1
doihttps://doi.org/10.1007/978-3-030-80209-7
isbn_softcover978-3-030-80208-0
isbn_ebook978-3-030-80209-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer Nature Switzerland AG 2021
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发表于 2025-3-21 21:38:26 | 显示全部楼层
Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion in extending the model to a higher dimensional group, which can code also curvatures, is the lack of a good definition of codimension 2 minimal surface. We present here this notion, and describe an application to image completion.
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Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matricess the quotient of the affine-invariant metric on SPD matrices by the action of diagonal matrices. In this work, we provide most of the fundamental Riemannian operations of the quotient-affine metric: the expression of the metric itself, the geodesics with initial tangent vector, the Levi-Civita connection and the curvature.
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The Scientific Papers on Ceres,epresentation of the degraded sound to the Heisenberg group, where it is reconstructed via a Wilson-Cowan integro-differential equation. Numerical experiments on a library of speech recordings are provided, showing the good reconstruction properties of the algorithm.
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,Frontier wars and civil wars, 350–395,s the quotient of the affine-invariant metric on SPD matrices by the action of diagonal matrices. In this work, we provide most of the fundamental Riemannian operations of the quotient-affine metric: the expression of the metric itself, the geodesics with initial tangent vector, the Levi-Civita connection and the curvature.
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