{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T19:23:11Z","timestamp":1740165791090,"version":"3.37.3"},"reference-count":62,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"Toyota Motor Engineering and Manufacturing North America, Inc."}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Neural Netw. Learning Syst."],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1109\/tnnls.2015.2513902","type":"journal-article","created":{"date-parts":[[2016,2,3]],"date-time":"2016-02-03T19:10:00Z","timestamp":1454526600000},"page":"231-243","source":"Crossref","is-referenced-by-count":6,"title":["Multiscale Support Vector Learning With Projection Operator Wavelet Kernel for Nonlinear Dynamical System Identification"],"prefix":"10.1109","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1298-8936","authenticated-orcid":false,"given":"Zhao","family":"Lu","sequence":"first","affiliation":[]},{"given":"Jing","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Kenneth","family":"Butts","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/BF02921322"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/MLSP.2010.5588766"},{"journal-title":"Finite-Dimensional Linear Analysis A Systematic Presentation in Problem Form","year":"2006","author":"glazman","key":"ref33"},{"journal-title":"Applied Algebra and Functional Analysis","year":"1993","author":"michel","key":"ref32"},{"journal-title":"Wavelets Calderón–Zygmund and Multilinear Operators","year":"1997","author":"meyer","key":"ref31"},{"journal-title":"Wavelets and Other Orthogonal Systems","year":"2000","author":"walter","key":"ref30"},{"key":"ref37","first-page":"1","article-title":"Wavelet kernel principal component analysis in noisy multi-scale data classification","volume":"2012","author":"xie","year":"2012","journal-title":"ISRN Comput Math"},{"journal-title":"Multi-Resolution Methods for Modeling and Control of Dynamical Systems","year":"2009","author":"singla","key":"ref36"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2009.2034993"},{"journal-title":"Theory of Linear Operators in Hilbert Space","year":"1993","author":"akhiezer","key":"ref34"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-8840-7"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1216\/jiea\/1181074218"},{"key":"ref61","first-page":"147","article-title":"A general sampling theorem associated with differential operators","volume":"1","author":"garc\u00eda","year":"1999","journal-title":"J Comput Anal Appl"},{"key":"ref28","first-page":"255","article-title":"On the identification with neural networks as series-parallel and parallel models","author":"nelles","year":"1995","journal-title":"Proc Int Conf Artif Neural Netw"},{"journal-title":"Nonlinear System Identification From Classical Approaches to Neural Networks and Fuzzy Models","year":"2001","author":"nelles","key":"ref27"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0709-2"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1990.141.55"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/050"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2008.09.048"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/78.705452"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.imavis.2006.07.009"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1109\/TCYB.2013.2279834","article-title":"Multiscale asymmetric orthogonal wavelet kernel for linear programming support vector learning and nonlinear dynamic systems identification","volume":"44","author":"lu","year":"2014","journal-title":"IEEE Trans Cybern"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0137-3_5"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00119-1"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-004-7622-3"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/S0952-1976(00)00069-5"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/72.548162"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2011.28"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2007.05.006"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2003.811119"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00120-8"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijforecast.2010.09.004"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(99)00152-9"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1080\/00207170600621447"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/3477.558801"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/27\/6\/065007"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/IROS.2006.282140"},{"key":"ref40","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-8307-8","author":"hogan","year":"2012","journal-title":"Duration and Bandwidth Limiting Prolate Functions Sampling and Applications"},{"key":"ref12","first-page":"16","article-title":"Nonstandard kernels and their applications","volume":"2","author":"de marchi","year":"2009","journal-title":"Dolomites Research Notes on Approximation"},{"key":"ref13","first-page":"21","article-title":"Positive definite kernels: Past, present and future","volume":"4","author":"fasshauer","year":"2011","journal-title":"Dolomites Research Notes on Approximation"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492906270016"},{"key":"ref15","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/7496.003.0016","article-title":"Scaling learning algorithms towards AI","author":"bengio","year":"2007","journal-title":"Large-Scale Kernel Machines"},{"journal-title":"A Wavelet Tour of Signal Processing The Sparse Way","year":"2009","author":"mallat","key":"ref16"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2008.10.011"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2003.811113"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2007.06.018"},{"journal-title":"Learning With Kernels Support Vector Machines Regularization Optimization and Beyond","year":"2002","author":"sch\u00f6lkopf","key":"ref4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511614583"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511801389"},{"journal-title":"Learning and Soft Computing Support Vector Machines Neural Networks and Fuzzy Logic Models","year":"2001","author":"kecman","key":"ref5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1023\/B:STCO.0000035301.49549.88"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/72.914517"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/SSP.2001.955292"},{"key":"ref9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-031-01692-9","author":"mart\u00ednez-ram\u00f3n","year":"2006","journal-title":"Support Vector Machines for Antenna Array Processing and Electromagnetics"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.4286571"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2008.03.007"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1049\/ip-smt:20050004"},{"journal-title":"Wavelet Methods for Elliptic Partial Differential Equations","year":"2009","author":"urban","key":"ref42"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3264-1"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2011.2140105"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.879767"}],"container-title":["IEEE Transactions on Neural Networks and Learning Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/5962385\/7797565\/07398084.pdf?arnumber=7398084","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T04:28:37Z","timestamp":1718339317000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7398084\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":62,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tnnls.2015.2513902","relation":{},"ISSN":["2162-237X","2162-2388"],"issn-type":[{"type":"print","value":"2162-237X"},{"type":"electronic","value":"2162-2388"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}