{"id":"https://openalex.org/W3127354727","doi":"https://doi.org/10.1109/access.2021.3055353","title":"Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning","display_name":"Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3127354727","doi":"https://doi.org/10.1109/access.2021.3055353","mag":"3127354727"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3055353","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3055353","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2021.3055353","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026546282","display_name":"Ward Quaghebeur","orcid":"https://orcid.org/0000-0002-6162-2124"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Ward Quaghebeur","raw_affiliation_strings":["BIOMATH, Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, Belgium","Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, KERMIT, Belgium"],"affiliations":[{"raw_affiliation_string":"BIOMATH, Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, KERMIT, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016991004","display_name":"Ingmar Nopens","orcid":"https://orcid.org/0000-0001-6670-3700"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ingmar Nopens","raw_affiliation_strings":["BIOMATH, Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"BIOMATH, Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012437460","display_name":"Bernard De Baets","orcid":"https://orcid.org/0000-0002-3876-620X"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bernard De Baets","raw_affiliation_strings":["Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, KERMIT, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Data Analysis and Mathematical Modeling, Ghent University, Gent, KERMIT, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026546282"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.6296,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.90366906,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":null,"first_page":"22014","last_page":"22022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9797000288963318,"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":0.9758999943733215,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7824328541755676},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5466738939285278},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.485128253698349},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4841978847980499},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4807955324649811},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4745139479637146},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.46282488107681274},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4583979547023773},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.35668671131134033},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10859176516532898}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7824328541755676},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5466738939285278},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.485128253698349},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4841978847980499},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4807955324649811},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4745139479637146},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.46282488107681274},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4583979547023773},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.35668671131134033},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10859176516532898},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2021.3055353","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3055353","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:8693007","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/8693007","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journalArticle"},{"id":"pmh:oai:archive.ugent.be:8692515","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/8692515","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2169-3536","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:461d97765e374e3b8b1fee163958f4a3","is_oa":true,"landing_page_url":"https://doaj.org/article/461d97765e374e3b8b1fee163958f4a3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 22014-22022 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3055353","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3055353","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.4000000059604645,"display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G1965941656","display_name":null,"funder_award_id":"3S79219","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W209243165","https://openalex.org/W570566252","https://openalex.org/W622999807","https://openalex.org/W651675007","https://openalex.org/W1576818901","https://openalex.org/W1587799944","https://openalex.org/W1968326286","https://openalex.org/W1972005403","https://openalex.org/W1978060721","https://openalex.org/W1979769287","https://openalex.org/W1987065153","https://openalex.org/W1992249670","https://openalex.org/W2004385216","https://openalex.org/W2004831977","https://openalex.org/W2011550024","https://openalex.org/W2033534238","https://openalex.org/W2036682095","https://openalex.org/W2048487013","https://openalex.org/W2055238536","https://openalex.org/W2058580716","https://openalex.org/W2093828424","https://openalex.org/W2101258119","https://openalex.org/W2103496339","https://openalex.org/W2103559027","https://openalex.org/W2116695072","https://openalex.org/W2126877537","https://openalex.org/W2129519649","https://openalex.org/W2131231339","https://openalex.org/W2139923370","https://openalex.org/W2146168695","https://openalex.org/W2146559931","https://openalex.org/W2149695944","https://openalex.org/W2166662865","https://openalex.org/W2166751342","https://openalex.org/W2239232218","https://openalex.org/W2284510407","https://openalex.org/W2334591577","https://openalex.org/W2573864470","https://openalex.org/W2621067911","https://openalex.org/W2765872171","https://openalex.org/W2770181657","https://openalex.org/W2782210340","https://openalex.org/W2899283552","https://openalex.org/W2902809050","https://openalex.org/W2962957385","https://openalex.org/W2963021886","https://openalex.org/W2963755523","https://openalex.org/W2970971581","https://openalex.org/W2991966309","https://openalex.org/W3021722416","https://openalex.org/W3022710800","https://openalex.org/W3032176077","https://openalex.org/W3206777520","https://openalex.org/W4254218124","https://openalex.org/W4289143709","https://openalex.org/W4293583890","https://openalex.org/W4295312788","https://openalex.org/W4296006010","https://openalex.org/W6635231448","https://openalex.org/W6738509504","https://openalex.org/W6746017139","https://openalex.org/W6747349453","https://openalex.org/W6752307458","https://openalex.org/W6766978945"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2080152487","https://openalex.org/W3083152911","https://openalex.org/W3022347918","https://openalex.org/W4200527723"],"abstract_inverted_index":{"First-principles":[0],"modeling":[1],"of":[2,8,19,43,62,82,106,114,139,152],"dynamical":[3],"systems":[4],"is":[5,68,79,87],"a":[6,41,80,120,178],"cornerstone":[7],"science":[9],"and":[10,12,17,28,49,58,86,147,168,170,195],"engineering":[11],"has":[13,196],"enabled":[14],"rapid":[15],"development":[16],"improvement":[18],"key":[20],"technologies":[21],"such":[22,115],"as":[23],"chemical":[24],"reactors,":[25],"electrical":[26],"circuits,":[27],"communication":[29],"networks.":[30],"In":[31],"various":[32],"disciplines,":[33],"scientists":[34],"structure":[35],"the":[36,60,63,83,90,95,99,111,136,140,144,150,153,162,172],"available":[37,194],"domain":[38],"knowledge":[39,67,77,137],"into":[40,126],"system":[42,85],"differential":[44],"equations.":[45],"When":[46],"designed,":[47],"calibrated,":[48],"validated":[50],"appropriately,":[51],"these":[52],"equations":[53],"are":[54],"used":[55],"to":[56,97,187],"analyze":[57],"predict":[59],"dynamics":[61,146],"system.":[64],"However,":[65],"perfect":[66],"usually":[69],"not":[70],"accessible":[71],"in":[72,135,166,175,199],"real-world":[73],"problems.":[74],"The":[75,103,130],"incorporated":[76],"thus":[78,148],"simplification":[81],"real":[84],"limited":[88],"by":[89],"underlying":[91],"assumptions.":[92],"This":[93,182],"limits":[94],"extent":[96],"which":[98],"model":[100,133,190],"reflects":[101],"reality.":[102],"resulting":[104],"lack":[105],"predictive":[107],"power":[108],"severely":[109],"hampers":[110],"application":[112],"potential":[113,198],"models.":[116],"Here":[117],"we":[118,156],"introduce":[119],"framework":[121],"that":[122,158],"incorporates":[123],"machine":[124,131],"learning":[125,132],"existing":[127],"first-principles":[128,141,189],"modeling.":[129],"fills":[134],"gaps":[138],"model,":[142],"capturing":[143],"unmodeled":[145],"improving":[149],"representativeness":[151],"model.":[154],"Moreover,":[155],"show":[157],"this":[159],"approach":[160,183],"lowers":[161],"data":[163,193],"requirements,":[164],"both":[165],"quantity":[167],"quality,":[169],"improves":[171],"generalization":[173],"ability":[174],"comparison":[176],"with":[177,191],"purely":[179],"data-driven":[180],"approach.":[181],"can":[184],"be":[185],"applied":[186],"any":[188],"sufficient":[192],"tremendous":[197],"many":[200],"fields.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}