Matrix Information Geometry
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Beschreibung
This book is an outcome of the Indo-French Workshop on Matrix Information Geometries (MIG): Applications in Sensor and Cognitive Systems Engineering, which was held in Ecole Polytechnique and Thales Research and Technology Center, Palaiseau, France, in February 23-25, 2011. The workshop was generously funded by the Indo-French Centre for the Promotion of Advanced Research (IFCPAR). During the event, 22 renowned invited french or indian speakers gave lectures on their areas of expertise within the field of matrix analysis or processing. From these talks, a total of 17 original contribution or state-of-the-art chapters have been assembled in this volume. All articles were thoroughly peer-reviewed and improved, according to the suggestions of the international referees. The 17 contributions presented are organized in three parts: (1) State-of-the-art surveys & original matrix theory work, (2) Advanced matrix theory for radar processing, and (3) Matrix-based signal processing applications.
This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering.
The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance Matrix, Sensors (Electromagnetic Fields, Acoustic sensors) and Applications in Cognitive systems, in particular Data Mining.
Presents advances in matrix and tensor data processing in the domain of signal, image and information processing Written by experts in the areas of theoretical mathematics or engineering sciences Discusses potential applications in sensor and cognitive systems engineering Includes supplementary material: sn.pub/extras
Autor*in
Frank Nielsen
Themen in »Matrix Information Geometry«
Audio Signal Processing Covariance matrix Differential geometry of structured matrix Fixed-Point SVD Algorithm Information geometry Koszul-Vinberg cohomology Matrix Data Mining Positive definite matrix Radar Image Processing matrix theory remote sensing/photogrammetry