{"id":"https://openalex.org/W2128910368","doi":"https://doi.org/10.1109/tcyb.2013.2279834","title":"Multiscale Asymmetric Orthogonal Wavelet Kernel for Linear Programming Support Vector Learning and Nonlinear Dynamic Systems Identification","display_name":"Multiscale Asymmetric Orthogonal Wavelet Kernel for Linear Programming Support Vector Learning and Nonlinear Dynamic Systems Identification","publication_year":2013,"publication_date":"2013-09-18","ids":{"openalex":"https://openalex.org/W2128910368","doi":"https://doi.org/10.1109/tcyb.2013.2279834","mag":"2128910368","pmid":"https://pubmed.ncbi.nlm.nih.gov/24058047"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2013.2279834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2279834","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050762543","display_name":"Zhao Lu","orcid":"https://orcid.org/0000-0003-1298-8936"},"institutions":[{"id":"https://openalex.org/I6026837","display_name":"Tuskegee University","ror":"https://ror.org/0137n4m74","country_code":"US","type":"education","lineage":["https://openalex.org/I6026837"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhao Lu","raw_affiliation_strings":["Department of Electrical Engineering, Tuskegee University, Tuskegee, AL, USA","Dept. of Electr. Eng., Tuskegee Univ., Tuskegee, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tuskegee University, Tuskegee, AL, USA","institution_ids":["https://openalex.org/I6026837"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tuskegee Univ., Tuskegee, AL, USA","institution_ids":["https://openalex.org/I6026837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009899010","display_name":"Jing Sun","orcid":"https://orcid.org/0000-0002-1223-8986"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jing Sun","raw_affiliation_strings":["Department of Naval Architecture and Marine Engineering and the Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","Dept. of Naval Archit. & Marine Eng., Univ. of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Naval Architecture and Marine Engineering and the Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Naval Archit. & Marine Eng., Univ. of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108904667","display_name":"Kenneth Butts","orcid":null},"institutions":[{"id":"https://openalex.org/I1293612202","display_name":"Toyota Motor Corporation (Switzerland)","ror":"https://ror.org/05p0pbv75","country_code":"CH","type":"company","lineage":["https://openalex.org/I1293612202","https://openalex.org/I4210125472","https://openalex.org/I4210137853"]},{"id":"https://openalex.org/I4210093665","display_name":"Toyota Motor North America (United States)","ror":"https://ror.org/0076knn86","country_code":"US","type":"company","lineage":["https://openalex.org/I4210093665","https://openalex.org/I4210125472","https://openalex.org/I4210137853"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Kenneth Butts","raw_affiliation_strings":["Toyota Motor Engineering and Manufacturing North America, Ann Arbor, MI, USA","Toyota Motor Eng. & Manuf. North America, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toyota Motor Engineering and Manufacturing North America, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I4210093665"]},{"raw_affiliation_string":"Toyota Motor Eng. & Manuf. North America, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I1293612202"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.4958,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9308229,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"5","first_page":"712","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6968600153923035},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6481188535690308},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.644646167755127},{"id":"https://openalex.org/keywords/polynomial-kernel","display_name":"Polynomial kernel","score":0.6227734684944153},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.6204428672790527},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.607237696647644},{"id":"https://openalex.org/keywords/orthogonal-wavelet","display_name":"Orthogonal wavelet","score":0.5702294111251831},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.562651515007019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5222823619842529},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48833486437797546},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4821590781211853},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4574027359485626},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.4438033401966095},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.3719679117202759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3639528155326843},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.35534682869911194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3521713614463806},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.2281682789325714}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6968600153923035},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6481188535690308},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.644646167755127},{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.6227734684944153},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.6204428672790527},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.607237696647644},{"id":"https://openalex.org/C2777451244","wikidata":"https://www.wikidata.org/wiki/Q3352512","display_name":"Orthogonal wavelet","level":5,"score":0.5702294111251831},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.562651515007019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5222823619842529},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48833486437797546},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4821590781211853},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4574027359485626},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.4438033401966095},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3719679117202759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3639528155326843},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.35534682869911194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3521713614463806},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.2281682789325714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcyb.2013.2279834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2279834","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:24058047","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24058047","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.714.4621","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.714.4621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.umich.edu/%7Eracelab/static/Webpublication/2014-IEEETCyb-CharlesL.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W101663867","https://openalex.org/W176593872","https://openalex.org/W228380312","https://openalex.org/W591821914","https://openalex.org/W1490488263","https://openalex.org/W1500174157","https://openalex.org/W1521447113","https://openalex.org/W1563088657","https://openalex.org/W1630894147","https://openalex.org/W1662457187","https://openalex.org/W1964357740","https://openalex.org/W1983954029","https://openalex.org/W1986033385","https://openalex.org/W1999988847","https://openalex.org/W2009348994","https://openalex.org/W2009984955","https://openalex.org/W2014405949","https://openalex.org/W2032209258","https://openalex.org/W2040135606","https://openalex.org/W2042031583","https://openalex.org/W2050834445","https://openalex.org/W2053159614","https://openalex.org/W2055357575","https://openalex.org/W2058398751","https://openalex.org/W2062336288","https://openalex.org/W2063894334","https://openalex.org/W2070155243","https://openalex.org/W2071527283","https://openalex.org/W2074588395","https://openalex.org/W2084512065","https://openalex.org/W2088032561","https://openalex.org/W2092124575","https://openalex.org/W2095992772","https://openalex.org/W2096876657","https://openalex.org/W2103452139","https://openalex.org/W2108369677","https://openalex.org/W2108995755","https://openalex.org/W2120879667","https://openalex.org/W2122528444","https://openalex.org/W2123027140","https://openalex.org/W2139793825","https://openalex.org/W2148603752","https://openalex.org/W2151876303","https://openalex.org/W2159129750","https://openalex.org/W2160955620","https://openalex.org/W2168029744","https://openalex.org/W2168765007","https://openalex.org/W2169509438","https://openalex.org/W2171800554","https://openalex.org/W2184765890","https://openalex.org/W2275150912","https://openalex.org/W2296616510","https://openalex.org/W2466547420","https://openalex.org/W2503902107","https://openalex.org/W3101749733","https://openalex.org/W3144619878","https://openalex.org/W4230674625","https://openalex.org/W4233665588","https://openalex.org/W4233726701","https://openalex.org/W4250955649","https://openalex.org/W4285719527","https://openalex.org/W4301501800","https://openalex.org/W6607228476","https://openalex.org/W6630106447","https://openalex.org/W6676250971","https://openalex.org/W7070821404"],"related_works":["https://openalex.org/W2393746448","https://openalex.org/W127070535","https://openalex.org/W3013206934","https://openalex.org/W3123056048","https://openalex.org/W2005311689","https://openalex.org/W4311138679","https://openalex.org/W1984421104","https://openalex.org/W2353199197","https://openalex.org/W2958374823","https://openalex.org/W2382704364"],"abstract_inverted_index":{"Support":[0],"vector":[1,19,39,50,68,102],"regression":[2],"for":[3,22,37,98],"approximating":[4],"nonlinear":[5,129,145],"dynamic":[6,146],"systems":[7,23],"is":[8,88,173,189],"more":[9,174],"delicate":[10],"than":[11,178],"the":[12,42,57,63,75,84,134,137,169,179,194,197],"approximation":[13],"of":[14,27,44,59,65,136,164,181,196],"indicator":[15],"functions":[16,45],"in":[17,30,142],"support":[18,38,49,67,101],"classification,":[20],"particularly":[21],"that":[24,153,167],"involve":[25],"multitudes":[26],"time":[28],"scales":[29],"their":[31],"sampled":[32],"data.":[33],"The":[34,104,162],"kernel":[35,60,82,109,117,141,200],"used":[36],"learning":[40,118],"determines":[41],"class":[43],"from":[46],"which":[47],"a":[48,66,111],"machine":[51],"can":[52],"draw":[53],"its":[54],"solution,":[55],"and":[56,81,122,176],"choice":[58],"significantly":[61],"influences":[62],"performance":[64],"machine.":[69],"In":[70],"this":[71],"paper,":[72],"to":[73,90,114,126],"bridge":[74],"gap":[76],"between":[77],"wavelet":[78,87,96,108,140],"multiresolution":[79],"analysis":[80],"learning,":[83],"closed-form":[85,105],"orthogonal":[86,95,107],"exploited":[89],"construct":[91],"new":[92],"multiscale":[93,106,116,139,199],"asymmetric":[94],"kernels":[97],"linear":[99],"programming":[100],"learning.":[103,201],"provides":[110],"systematic":[112],"framework":[113],"implement":[115],"via":[119],"dyadic":[120],"dilations":[121],"also":[123],"enables":[124],"us":[125],"represent":[127],"complex":[128,144],"dynamics":[130],"effectively.":[131],"To":[132],"demonstrate":[133],"superiority":[135],"proposed":[138,198],"identifying":[143],"systems,":[147],"two":[148],"case":[149],"studies":[150],"are":[151],"presented":[152],"aim":[154],"at":[155],"building":[156],"parallel":[157,165],"models":[158,166,183],"on":[159],"benchmark":[160],"datasets.":[161],"development":[163],"address":[168],"long-term/mid-term":[170],"prediction":[171,188],"issue":[172],"intricate":[175],"challenging":[177],"identification":[180],"series-parallel":[182],"where":[184],"only":[185],"one-step":[186],"ahead":[187],"required.":[190],"Simulation":[191],"results":[192],"illustrate":[193],"effectiveness":[195]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}