Nielsen Progress in Information Geometry

Progress in Information Geometry

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Theory and Applications

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Beschreibung

This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. 

The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).



This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. 

The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).



Features new and fruitful interactions between several branches of science: information science, mathematics and physics Offers a substantial information source for industry and academia Collects the most important contributions to the conference GSI’2019 – Geometric Science of Information

Autor*in

Frank Nielsen

Themen in »Progress in Information Geometry«

Hessian Information Geometry Shape Space Monotone Embedding Stochastic Geometric Mechanics Riemannian Manifolds Geometric Deep Learning Lie Group Thermodynamics Probability Density Estimation Geometry of quantum states GSI’2019 data-driven science, modeling and theory building

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Details

ISBN: 9783030654580
Verlag: Springer International Publishing
Erscheinung: 15.03.2021

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