001441550 000__ 03858cam\a2200601Ic\4500 001441550 001__ 1441550 001441550 003__ OCoLC 001441550 005__ 20230309004745.0 001441550 006__ m\\\\\o\\d\\\\\\\\ 001441550 007__ cr\un\nnnunnun 001441550 008__ 220105s2021\\\\sz\a\\\\ob\\\\001\0\eng\d 001441550 019__ $$a1290814767$$a1290839347$$a1294359764 001441550 020__ $$a9783030821715$$q(electronic bk.) 001441550 020__ $$a3030821714$$q(electronic bk.) 001441550 020__ $$z9783030821708$$q(print) 001441550 020__ $$z3030821706 001441550 0247_ $$a10.1007/978-3-030-82171-5$$2doi 001441550 035__ $$aSP(OCoLC)1290893472 001441550 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dOCLCO$$dDCT$$dOCLCF$$dOCLCO$$dN$T$$dUKAHL$$dOCLCQ 001441550 049__ $$aISEA 001441550 050_4 $$aQA278.2 001441550 08204 $$a519.5/36$$223 001441550 1001_ $$aOwhadi, Houman.$$eauthor.$$1https://orcid.org/0000-0002-5677-1600 001441550 24510 $$aKernel mode decomposition and the programming of kernels /$$cHouman Owhadi, Clint Scovel, Gene Ryan Yoo. 001441550 264_1 $$aCham, Switzerland :$$bSpringer,$$c2021. 001441550 300__ $$a1 online resource (x, 118 pages) :$$billustrations (some color). 001441550 336__ $$atext$$btxt$$2rdacontent 001441550 337__ $$acomputer$$bc$$2rdamedia 001441550 338__ $$aonline resource$$bcr$$2rdacarrier 001441550 347__ $$atext file$$bPDF$$2rda 001441550 4901_ $$aSurveys and tutorials in the applied mathematical sciences,$$x2199-4773 ;$$vvolume 8 001441550 504__ $$aIncludes bibliographical references and index. 001441550 5050_ $$aIntroduction -- Review -- The mode decomposition problem -- Kernel mode decomposition networks (KMDNets) -- Additional programming modules and squeezing -- Non-trigonometric waveform and iterated KMD -- Unknown base waveforms -- Crossing frequencies, vanishing modes, and noise -- Appendix. 001441550 506__ $$aAccess limited to authorized users. 001441550 520__ $$aThis monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems. 001441550 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 5, 2022). 001441550 650_0 $$aRegression analysis. 001441550 650_0 $$aKernel functions. 001441550 650_0 $$aDecomposition (Mathematics) 001441550 650_6 $$aAnalyse de régression. 001441550 650_6 $$aNoyaux (Mathématiques) 001441550 650_6 $$aDécomposition (Mathématiques) 001441550 655_0 $$aElectronic books. 001441550 7001_ $$aScovel, Clint,$$d1955-$$eauthor. 001441550 7001_ $$aYoo, Gene Ryan,$$eauthor.$$0(orcid)0000-0002-5319-5599$$1https://orcid.org/0000-0002-5319-5599 001441550 77608 $$iPrint version:$$z3030821706$$z9783030821708$$w(OCoLC)1257890477 001441550 830_0 $$aSurveys and tutorials in the applied mathematical sciences ;$$v8.$$x2199-4773 001441550 852__ $$bebk 001441550 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-82171-5$$zOnline Access$$91397441.1 001441550 909CO $$ooai:library.usi.edu:1441550$$pGLOBAL_SET 001441550 980__ $$aBIB 001441550 980__ $$aEBOOK 001441550 982__ $$aEbook 001441550 983__ $$aOnline 001441550 994__ $$a92$$bISE