{"id":"https://openalex.org/W2292466097","doi":"https://doi.org/10.1109/cdc.2015.7402626","title":"Perspectives of orthonormal basis functions based kernels in Bayesian system identification","display_name":"Perspectives of orthonormal basis functions based kernels in Bayesian system identification","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2292466097","doi":"https://doi.org/10.1109/cdc.2015.7402626","mag":"2292466097"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101675469","display_name":"Mohamed Darwish","orcid":"https://orcid.org/0000-0003-1028-509X"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Mohamed Darwish","raw_affiliation_strings":["Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103084695","display_name":"Gianluigi Pillonetto","orcid":"https://orcid.org/0000-0002-1072-3144"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluigi Pillonetto","raw_affiliation_strings":["Information Engineering Department, University of Padova, 35131, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering Department, University of Padova, 35131, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088619613","display_name":"Roland T\u00f3th","orcid":"https://orcid.org/0000-0001-7570-6129"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Roland T\u00f3th","raw_affiliation_strings":["Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2713","last_page":"2718"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.7643420100212097},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.6852007508277893},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.6184834241867065},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5926617383956909},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.540679931640625},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.5267595648765564},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5150268077850342},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5014381408691406},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.49407699704170227},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48401138186454773},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4799530804157257},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4103849530220032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3985637128353119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37382179498672485},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25365370512008667},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.20159423351287842},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.15426471829414368}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.7643420100212097},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.6852007508277893},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.6184834241867065},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5926617383956909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.540679931640625},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.5267595648765564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5150268077850342},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5014381408691406},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.49407699704170227},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48401138186454773},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4799530804157257},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4103849530220032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3985637128353119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37382179498672485},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25365370512008667},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.20159423351287842},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.15426471829414368},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2015.7402626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:publications/3576b929-f76d-4362-a4a8-1484d7843ff5","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/3576b929-f76d-4362-a4a8-1484d7843ff5","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Darwish, M A H, Pillonetto, G & Toth, R 2015, Perspectives of orthonormal basis functions based kernels in Bayesian system identification. in 54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan. Institute of Electrical and Electronics Engineers, Piscataway, pp. 2713-2718, 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402626","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:www.research.unipd.it:11577/3188600","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3188600","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:tue:oai:pure.tue.nl:publications/3576b929-f76d-4362-a4a8-1484d7843ff5","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/3576b929-f76d-4362-a4a8-1484d7843ff5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan, 2713 - 2718","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W565862821","https://openalex.org/W1494853941","https://openalex.org/W1514443597","https://openalex.org/W1746819321","https://openalex.org/W1862263964","https://openalex.org/W1965324089","https://openalex.org/W1986280275","https://openalex.org/W2003410526","https://openalex.org/W2014158063","https://openalex.org/W2021065610","https://openalex.org/W2037479549","https://openalex.org/W2070057735","https://openalex.org/W2080997900","https://openalex.org/W2092766760","https://openalex.org/W2140834769","https://openalex.org/W2142635246","https://openalex.org/W2146766088","https://openalex.org/W2159425692","https://openalex.org/W2161083632","https://openalex.org/W2161398593","https://openalex.org/W2163204284","https://openalex.org/W2165867509","https://openalex.org/W2797545377","https://openalex.org/W2911546748","https://openalex.org/W2963251850"],"related_works":["https://openalex.org/W2162397575","https://openalex.org/W2050355391","https://openalex.org/W2073635269","https://openalex.org/W2084907904","https://openalex.org/W1989693575","https://openalex.org/W1982489997","https://openalex.org/W2001654823","https://openalex.org/W2122371930","https://openalex.org/W2093444196","https://openalex.org/W1544903188"],"abstract_inverted_index":{"Kernel-based":[0],"regularization":[1],"approaches":[2],"for":[3,53,77,152],"linear":[4],"time-invariant":[5],"system":[6,106],"identification":[7,55],"have":[8],"been":[9],"introduced":[10],"recently.":[11],"This":[12],"class":[13],"of":[14,68,90,111,124,166],"methods":[15],"corresponds":[16],"to":[17,39,49,59,62,103,159,169],"a":[18,26,75,78,98],"particular":[19],"regularized":[20],"least-squares":[21],"methodology":[22,79],"that":[23,80,138],"may":[24],"achieve":[25],"favorable":[27],"bias/variance":[28],"trade-off":[29],"compared":[30,146],"with":[31,141,147,155],"classical":[32],"Prediction":[33],"Error":[34],"Minimization":[35],"(PEM)":[36],"methods.":[37],"However,":[38],"fully":[40],"exploit":[41],"this":[42,83,94],"property,":[43],"the":[44,54,69,88,109,125,160,164],"kernel":[45,100,133],"function":[46],"itself":[47],"needs":[48],"be":[50,60],"appropriately":[51],"designed":[52],"problem":[56],"at":[57],"hand":[58],"able":[61],"successfully":[63],"capture":[64,104],"all":[65],"relevant":[66],"aspects":[67],"data-generating":[70],"system.":[71],"Hence,":[72],"there":[73],"is":[74,173],"need":[76],"can":[81],"accomplish":[82],"design":[84],"step":[85],"without":[86],"affecting":[87],"simplicity":[89],"these":[91],"approaches.":[92],"In":[93],"paper,":[95],"we":[96],"propose":[97],"systematic":[99],"construction":[101,126],"mechanism":[102],"dynamic":[105],"behavior":[107],"via":[108],"use":[110],"orthonormal":[112],"basis":[113,143,168],"functions":[114],"(OBFs).":[115],"Two":[116],"special":[117],"cases":[118],"are":[119],"investigated":[120],"as":[121],"an":[122],"illustration":[123],"mechanism,":[127],"namely":[128],"Laguerre":[129,142],"and":[130],"Kautz":[131,167],"based":[132],"structures.":[134],"Monte-Carlo":[135],"simulations":[136],"show":[137],"OBFs-based":[139],"kernels":[140],"perform":[144],"well":[145],"stable":[148],"spline/TC":[149],"kernels,":[150],"especially":[151],"slow":[153],"systems":[154,172],"dominant":[156],"poles":[157],"close":[158],"unit":[161],"circle.":[162],"Moreover,":[163],"capability":[165],"model":[170],"resonant":[171],"also":[174],"shown.":[175]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}