Geometric Theory of Information [electronic resource] /
edited by Frank Nielsen.
- XII, 392 p. 81 illus., 60 illus. in color. online resource.
- Signals and Communication Technology, 1860-4862 .
- Signals and Communication Technology, .
Preface -- Divergence Functions and Geometric Structures They Induce on a Manifold -- Geometry on Positive Definite Matrices Deformed by V-potentials and Its Submanifold Structure -- Hessian structures and divergence functions on deformed exponential families -- Harmonic maps relative to (Sa(B-connections -- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences -- Computational algebraic methods in efficient estimation.
This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, and natural language treatment which are also substantially relevant for the industry.
9783319053172
10.1007/978-3-319-05317-2 doi
Engineering.
Data mining.
Remote sensing.
Computer science--Mathematics.
Computer mathematics.
Differential geometry.
Engineering.
Signal, Image and Speech Processing.
Differential Geometry.
Data Mining and Knowledge Discovery.
Mathematical Applications in Computer Science.
Remote Sensing/Photogrammetry.
TK5102.9 TA1637-1638 TK7882.S65
621.382
Preface -- Divergence Functions and Geometric Structures They Induce on a Manifold -- Geometry on Positive Definite Matrices Deformed by V-potentials and Its Submanifold Structure -- Hessian structures and divergence functions on deformed exponential families -- Harmonic maps relative to (Sa(B-connections -- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences -- Computational algebraic methods in efficient estimation.
This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, and natural language treatment which are also substantially relevant for the industry.
9783319053172
10.1007/978-3-319-05317-2 doi
Engineering.
Data mining.
Remote sensing.
Computer science--Mathematics.
Computer mathematics.
Differential geometry.
Engineering.
Signal, Image and Speech Processing.
Differential Geometry.
Data Mining and Knowledge Discovery.
Mathematical Applications in Computer Science.
Remote Sensing/Photogrammetry.
TK5102.9 TA1637-1638 TK7882.S65
621.382