Progress in Information Geometry Theory and Applications
Título:
Progress in Information Geometry Theory and Applications
ISBN:
9783030654597
Edição:
1st ed. 2021.
PRODUCTION_INFO:
Cham : Springer International Publishing : Imprint: Springer, 2021.
Descrição Física:
XII, 274 p. 105 illus., 35 illus. in color. online resource.
Série:
Signals and Communication Technology,
Conteúdo:
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.
Resumo:
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).
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Full Text Available From Springer Nature Physics and Astronomy 2021 Packages
LANGUAGE:
Inglês