{"id":"https://openalex.org/W1580793253","doi":"https://doi.org/10.1109/i2mtc.2015.7151269","title":"Nonparametric volterra kernel estimation using regularization","display_name":"Nonparametric volterra kernel estimation using regularization","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1580793253","doi":"https://doi.org/10.1109/i2mtc.2015.7151269","mag":"1580793253"},"language":"en","primary_location":{"id":"doi:10.1109/i2mtc.2015.7151269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/i2mtc.2015.7151269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5024951226","display_name":"Georgios Birpoutsoukis","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Georgios Birpoutsoukis","raw_affiliation_strings":["Department of ELEC, Vrije Universiteit Brussel, Brussel","Department of ELEC, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of ELEC, Vrije Universiteit Brussel, Brussel","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Department of ELEC, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076996530","display_name":"J. Schoukens","orcid":"https://orcid.org/0000-0003-0492-6137"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Johan Schoukens","raw_affiliation_strings":["Department of ELEC, Vrije Universiteit Brussel, Brussel","Department of ELEC, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of ELEC, Vrije Universiteit Brussel, Brussel","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Department of ELEC, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024951226"],"corresponding_institution_ids":["https://openalex.org/I13469542"],"apc_list":null,"apc_paid":null,"fwci":1.683,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85199988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":null,"first_page":"222","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/volterra-series","display_name":"Volterra series","score":0.7762352228164673},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.6575502157211304},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6525022387504578},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6259297132492065},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5797492265701294},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5762988924980164},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5756434202194214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5564320683479309},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.5358489751815796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4998199939727783},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46817702054977417},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.4625372886657715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4617929458618164},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.4373672306537628},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4115198254585266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3710923492908478},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22192010283470154},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.19533565640449524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10800981521606445},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1073814332485199}],"concepts":[{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.7762352228164673},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.6575502157211304},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6525022387504578},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6259297132492065},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5797492265701294},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5762988924980164},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5756434202194214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5564320683479309},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5358489751815796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4998199939727783},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46817702054977417},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.4625372886657715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4617929458618164},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.4373672306537628},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4115198254585266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3710923492908478},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22192010283470154},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.19533565640449524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10800981521606445},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1073814332485199},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/i2mtc.2015.7151269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/i2mtc.2015.7151269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:195985","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/195985","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:139351","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/regularized-nonparametric-volterra-kernel-estimation(14139846-a2c2-4f9c-bdf1-202c8b141493).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1746819321","https://openalex.org/W1991777572","https://openalex.org/W2021065610","https://openalex.org/W2027079911","https://openalex.org/W2037479549","https://openalex.org/W2092766760","https://openalex.org/W2161083632","https://openalex.org/W4211049957","https://openalex.org/W6648297088"],"related_works":["https://openalex.org/W2886861112","https://openalex.org/W2313433547","https://openalex.org/W2168591081","https://openalex.org/W2166090108","https://openalex.org/W3141402476","https://openalex.org/W2045951990","https://openalex.org/W2102590709","https://openalex.org/W1643498452","https://openalex.org/W2778932900","https://openalex.org/W1580793253"],"abstract_inverted_index":{"Modeling":[0],"of":[1,7,15,26,32,40,50,60,66,89,163],"nonlinear":[2,24,91],"dynamic":[3],"systems":[4],"constitutes":[5],"one":[6],"the":[8,13,23,33,45,48,58,64,67,75,90,98,133,138,148,154,161,168],"most":[9],"challenging":[10],"topics":[11],"in":[12,44,141],"field":[14],"system":[16],"identifi-":[17],"cation.":[18],"One":[19],"way":[20,143],"to":[21,52,84,105,121,167],"describe":[22],"behavior":[25],"a":[27,79,85,111,119,142,173],"process":[28],"is":[29,73,129,151,170],"by":[30,131],"use":[31],"nonparametric":[34],"Volterra":[35,125,164],"Series":[36],"representation.":[37],"The":[38,71,127,157],"drawback":[39],"this":[41,94],"method":[42,120],"lies":[43],"fact":[46],"that":[47,74,101,144],"number":[49,59],"parameters":[51,77,135],"be":[53],"estimated":[54,76,134],"increases":[55],"fast":[56],"with":[57,172],"lags":[61],"considered":[62],"for":[63,110,160],"description":[65,88],"several":[68],"impulse":[69,108],"responses.":[70],"result":[72],"admit":[78],"very":[80,86],"large":[81],"variance":[82],"leading":[83],"uncertain":[87],"system.":[92],"In":[93],"paper,":[95],"inspired":[96],"from":[97],"regularization":[99,169],"techniques":[100],"have":[102],"been":[103],"applied":[104],"one-dimensional":[106],"(1-D)":[107],"responses":[109],"linear":[112],"time":[113],"invariant":[114],"(LTI)":[115],"system,":[116],"we":[117],"present":[118],"estimate":[122],"efficiently":[123],"finite":[124],"kernels.":[126],"latter":[128],"achieved":[130],"constraining":[132],"appropriately":[136],"during":[137],"identification":[139,162],"step":[140],"prior":[145],"knowledge":[146],"about":[147],"to-be-estimated":[149],"kernels":[150,165],"reflected":[152],"on":[153],"resulting":[155],"model.":[156],"enormous":[158],"benefit":[159],"due":[166],"illustrated":[171],"numerical":[174],"example.":[175]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
