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Since publication of the initial papers in 2006, compressed sensing has captured the imagination of the international signal processing community, and the mathematical foundations are nowadays quite well understood. Parallel to the progress in mathematics, the potential applications of compressed sensing have been explored by many international groups of, in particular, engineers and applied mathematicians, achieving very promising advances in various areas such as communication theory, imaging sciences, optics, radar technology, sensor networks, or tomography. Since many applications have reached a mature state, the research center MATHEON in Berlin focusing on "Mathematics for Key Technologies", invited leading researchers on applications of compressed sensing from mathematics, computer science, and engineering to the "MATHEON Workshop 2013: Compressed Sensing and its Applications” in December 2013. It was the first workshop specifically focusing on the applications of compressed sensing. This book features contributions by the plenary and invited speakers of this workshop. To make this book accessible for those unfamiliar with compressed sensing, the book will not only contain chapters on various applications of compressed sensing written by plenary and invited speakers, but will also provide a general introduction into compressed sensing. The book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering as well as other applied scientists interested in the potential and applications of the novel methodology of compressed sensing.  For those readers who are not already familiar with compressed sensing, an introduction to the basics of this theory will be included.

Mathematics. --- Information and Communication, Circuits. --- Signal, Image and Speech Processing. --- Coding and Information Theory. --- Numerical Analysis. --- Linear and Multilinear Algebras, Matrix Theory. --- Computational Science and Engineering. --- Coding theory. --- Matrix theory. --- Computer science. --- Numerical analysis. --- Mathématiques --- Codage --- Informatique --- Analyse numérique --- Signal processing -- Mathematics -- Congresses. --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer Science --- Mathematical Theory --- Signal processing --- Algebra. --- Information theory. --- Computer mathematics. --- Informatics --- Science --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Mathematical analysis --- Math --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Computer mathematics --- Electronic data processing --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Communication theory --- Communication --- Cybernetics

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This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery.  This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it. .

Compressed sensing (Telecommunication) --- Signal processing --- Mathematics. --- Coding theory. --- Matrix theory. --- Algebra. --- Information theory. --- Computer mathematics. --- Numerical analysis. --- Information and Communication, Circuits. --- Numerical Analysis. --- Signal, Image and Speech Processing. --- Coding and Information Theory. --- Linear and Multilinear Algebras, Matrix Theory. --- Computational Science and Engineering. --- Compressive sensing (Telecommunication) --- Sensing, Compressed (Telecommunication) --- Sparse sampling (Telecommunication) --- Computer science. --- Informatics --- Science --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Mathematical analysis --- Math --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Communication theory --- Communication --- Cybernetics --- Computer mathematics --- Electronic data processing --- Mathematics

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'Information and Inference' aims to publish high quality mathematically-oriented articles, furthering the understanding of the theory, methods of analysis, and algorithms for information and data.

Mathematical statistics --- Information theory --- Information theory. --- Mathematical statistics. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Communication theory --- Communication --- Cybernetics --- Statistical methods --- Popular Science and Nature.

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This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery.  This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it. .

Algebra --- Ergodic theory. Information theory --- Numerical analysis --- Mathematics --- Computer science --- Information systems --- Computer. Automation --- beeldverwerking --- algebra --- ICT (informatie- en communicatietechnieken) --- coderen --- matrices --- spraaktechnologie --- computers --- informatica --- informatiesystemen --- wiskunde --- informaticaonderzoek --- computerkunde --- numerieke analyse --- informatietheorie --- signaalverwerking