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Progress in Information Geometry = Theory and Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Progress in Information Geometry/ edited by Frank Nielsen.
其他題名:	Theory and Applications /
其他作者:	Nielsen, Frank.
面頁冊數:	XII, 274 p. 105 illus., 35 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Coding and Information Theory. -
電子資源:	https://doi.org/10.1007/978-3-030-65459-7
ISBN:	9783030654597

Progress in Information Geometry = Theory and Applications /
Progress in Information GeometryTheory and Applications /[electronic resource] :edited by Frank Nielsen. - 1st ed. 2021. - XII, 274 p. 105 illus., 35 illus. in color.online resource. - Signals and Communication Technology,1860-4870. - Signals and Communication Technology,.

Information Geometry of smooth densities on the Gaussian space: Poincare inequalities -- On Normalization Functions and ϕ-families of Probability Distributions -- Affine Connections with Torsion in (para-)complexified Structures -- Contact Hamiltonian systems for probability distribution functions and expectation variables: A study based on a class of master equations -- Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures -- Gauge freedom of entropies on q-Gaussian measures -- On geodesic triangles with right angles in a dually flat space -- Chain Rule Optimal Transport -- Towards the “Shape” of Cosmological Observables and the String Theory Landscape with Topological Data Analysis -- A review of two decades of correlations, hierarchies, networks and clustering in financial markets.

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).

ISBN: 9783030654597

Standard No.: 10.1007/978-3-030-65459-7doiSubjects--Topical Terms:

669784
Coding and Information Theory.

LC Class. No.: QC1-999

Dewey Class. No.: 621

Progress in Information Geometry = Theory and Applications /
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