LEADER 04722nam 22007695 450 001 9910349322703321 005 20200704164535.0 010 $a3-319-73074-6 024 7 $a10.1007/978-3-319-73074-5 035 $a(CKB)4100000008959030 035 $a(MiAaPQ)EBC5851293 035 $a(DE-He213)978-3-319-73074-5 035 $a(PPN)258059699 035 $a(EXLCZ)994100000008959030 100 $a20190813d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCompressed Sensing and Its Applications$b[electronic resource] $eThird International MATHEON Conference 2017 /$fedited by Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (305 pages) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 311 $a3-319-73073-8 320 $aIncludes bibliographical references. 327 $aAn 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. 330 $aThe chapters in this volume highlight the state-of-the-art of compressed sensing and are based on talks given at the third international MATHEON conference on the same topic, held from December 4-8, 2017 at the Technical University in Berlin. In addition to methods in compressed sensing, chapters provide insights into cutting edge applications of deep learning in data science, highlighting the overlapping ideas and methods that connect the fields of compressed sensing and deep learning. Specific topics covered include: Quantized compressed sensing Classification Machine learning Oracle inequalities Non-convex optimization Image reconstruction Statistical learning theory This volume will be a valuable resource for graduate students and researchers in the areas of mathematics, computer science, and engineering, as well as other applied scientists exploring potential applications of compressed sensing. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aInformation theory 606 $aFourier analysis 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aMachine learning 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 606 $aMachine Learning$3https://scigraph.springernature.com/ontologies/product-market-codes/I21010 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 615 0$aInformation theory. 615 0$aFourier analysis. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 0$aMachine learning. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 14$aInformation and Communication, Circuits. 615 24$aFourier Analysis. 615 24$aMathematical Applications in Computer Science. 615 24$aMachine Learning. 615 24$aSignal, Image and Speech Processing. 676 $a621.38220151 702 $aBoche$b Holger$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCaire$b Giuseppe$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCalderbank$b Robert$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKutyniok$b Gitta$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMathar$b Rudolf$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPetersen$b Philipp$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910349322703321 996 $aCompressed sensing and its applications$91522582 997 $aUNINA