04695nam 22007695 450 991034932270332120200704164535.03-319-73074-610.1007/978-3-319-73074-5(CKB)4100000008959030(MiAaPQ)EBC5851293(DE-He213)978-3-319-73074-5(PPN)258059699(EXLCZ)99410000000895903020190813d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCompressed Sensing and Its Applications Third International MATHEON Conference 2017 /edited by Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen1st ed. 2019.Cham :Springer International Publishing :Imprint: Birkhäuser,2019.1 online resource (305 pages)Applied and Numerical Harmonic Analysis,2296-50093-319-73073-8 Includes bibliographical references.An Introduction to Compressed Sensing -- Quantized Compressed Sensing: a Survey -- On reconstructing functions from binary measurements -- Classification scheme for binary data with extensions -- Generalization Error in Deep Learning -- Deep learning for trivial inverse problems -- Oracle inequalities for local and global empirical risk minimizers -- Median-Truncated Gradient Descent: A Robust and Scalable Nonconvex Approach for Signal Estimation -- Reconstruction Methods in THz Single-pixel Imaging.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.Applied and Numerical Harmonic Analysis,2296-5009Information theoryFourier analysisComputer science—MathematicsComputer mathematicsMachine learningSignal processingImage processingSpeech processing systemsInformation and Communication, Circuitshttps://scigraph.springernature.com/ontologies/product-market-codes/M13038Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Mathematical Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M13110Machine Learninghttps://scigraph.springernature.com/ontologies/product-market-codes/I21010Signal, Image and Speech Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/T24051Information theory.Fourier analysis.Computer science—Mathematics.Computer mathematics.Machine learning.Signal processing.Image processing.Speech processing systems.Information and Communication, Circuits.Fourier Analysis.Mathematical Applications in Computer Science.Machine Learning.Signal, Image and Speech Processing.621.38220151Boche Holgeredthttp://id.loc.gov/vocabulary/relators/edtCaire Giuseppeedthttp://id.loc.gov/vocabulary/relators/edtCalderbank Robertedthttp://id.loc.gov/vocabulary/relators/edtKutyniok Gittaedthttp://id.loc.gov/vocabulary/relators/edtMathar Rudolfedthttp://id.loc.gov/vocabulary/relators/edtPetersen Philippedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910349322703321Compressed sensing and its applications1522582UNINA