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The chapters in this volume highlight the state-of-the-art of compressed sensing and are based on talks given at the third international MATHEON conference on the same topic, held from December 4-8, 2017 at the Technical University in Berlin. In addition to methods in compressed sensing, chapters provide insights into cutting edge applications of deep learning in data science, highlighting the overlapping ideas and methods that connect the fields of compressed sensing and deep learning. Specific topics covered include: Quantized compressed sensing Classification Machine learning Oracle inequalities Non-convex optimization Image reconstruction Statistical learning theory This volume will be a valuable resource for graduate students and researchers in the areas of mathematics, computer science, and engineering, as well as other applied scientists exploring potential applications of compressed sensing.

Signal processing --- Mathematics --- Mathematics. --- Fourier analysis. --- Machine learning. --- Information and Communication, Circuits. --- Fourier Analysis. --- Mathematical Applications in Computer Science. --- Machine Learning. --- Signal, Image and Speech Processing. --- Learning, Machine --- Artificial intelligence --- Machine theory --- Analysis, Fourier --- Mathematical analysis --- Math --- Science --- Information theory. --- Computer science—Mathematics. --- Computer mathematics. --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Information theory --- 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 --- Signal theory (Telecommunication) --- Computer mathematics --- Electronic data processing --- Communication theory --- Communication --- Cybernetics