{"id":"https://openalex.org/W4409201748","doi":"https://doi.org/10.1016/j.compchemeng.2025.109119","title":"Incorporating first-principles information into hybrid modeling structures: Comparing hybrid semi-parametric models with Physics-Informed Recurrent Neural Networks","display_name":"Incorporating first-principles information into hybrid modeling structures: Comparing hybrid semi-parametric models with Physics-Informed Recurrent Neural Networks","publication_year":2025,"publication_date":"2025-04-06","ids":{"openalex":"https://openalex.org/W4409201748","doi":"https://doi.org/10.1016/j.compchemeng.2025.109119"},"language":"en","primary_location":{"id":"doi:10.1016/j.compchemeng.2025.109119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.compchemeng.2025.109119","pdf_url":null,"source":{"id":"https://openalex.org/S150671403","display_name":"Computers & Chemical Engineering","issn_l":"0098-1354","issn":["0098-1354","1873-4375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Chemical Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.compchemeng.2025.109119","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092497967","display_name":"Peter Jul\u2010Rasmussen","orcid":"https://orcid.org/0000-0002-6999-8994"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Peter Jul-Rasmussen","raw_affiliation_strings":["Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK"],"raw_orcid":"https://orcid.org/0000-0002-6999-8994","affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002434276","display_name":"Monesh Kumar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Monesh Kumar","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0003-9982-2644","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101859062","display_name":"Jos\u00e9 M. Pinto","orcid":"https://orcid.org/0000-0002-2196-9756"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00f3se Pinto","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2196-9756","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034295628","display_name":"Rui Oliveira","orcid":"https://orcid.org/0000-0001-8077-4177"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Oliveira","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8077-4177","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063637646","display_name":"Xiaodong Liang","orcid":"https://orcid.org/0000-0002-2007-546X"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Xiaodong Liang","raw_affiliation_strings":["Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083214789","display_name":"Jakob Kj\u00f8bsted Huusom","orcid":"https://orcid.org/0000-0002-1367-7235"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Jakob Kj\u00f8bsted Huusom","raw_affiliation_strings":["Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK"],"raw_orcid":"https://orcid.org/0000-0002-1367-7235","affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Department of Chemical and Biochemical Engineering, DK","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5083214789"],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":{"value":4070,"currency":"USD","value_usd":4070},"apc_paid":{"value":4070,"currency":"USD","value_usd":4070},"fwci":6.4666,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.96488142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"199","issue":null,"first_page":"109119","last_page":"109119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.9434999823570251,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10320","display_name":"Neural Networks and Applications","score":0.9406999945640564,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7188820242881775},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6487549543380737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4538593888282776},{"id":"https://openalex.org/keywords/parametric-model","display_name":"Parametric model","score":0.45317915081977844},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4440300464630127},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3881749212741852},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3362904191017151},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3291851282119751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23897206783294678},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06663569808006287}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7188820242881775},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6487549543380737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4538593888282776},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.45317915081977844},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4440300464630127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3881749212741852},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3362904191017151},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3291851282119751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23897206783294678},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06663569808006287}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.compchemeng.2025.109119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.compchemeng.2025.109119","pdf_url":null,"source":{"id":"https://openalex.org/S150671403","display_name":"Computers & Chemical Engineering","issn_l":"0098-1354","issn":["0098-1354","1873-4375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Chemical Engineering","raw_type":"journal-article"},{"id":"pmh:oai:run.unl.pt:10362/183806","is_oa":true,"landing_page_url":"http://hdl.handle.net/10362/183806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400678","display_name":"Universidade Nova de Lisboa's Repository (Universidade Nova de Lisboa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83558840","host_organization_name":"Universidade Nova de Lisboa","host_organization_lineage":["https://openalex.org/I83558840"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.compchemeng.2025.109119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.compchemeng.2025.109119","pdf_url":null,"source":{"id":"https://openalex.org/S150671403","display_name":"Computers & Chemical Engineering","issn_l":"0098-1354","issn":["0098-1354","1873-4375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Chemical Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3268166681","display_name":null,"funder_award_id":"101099487\\u2014BioLaMer-HORIZON-EIC-2022-PATHFINDEROPEN-01","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G3722578613","display_name":"Applied Molecular Biosciences Unit","funder_award_id":"UIDB/04378/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G5149321547","display_name":null,"funder_award_id":"NNF19SA0035474","funder_id":"https://openalex.org/F4320325957","funder_display_name":"Novo Nordisk Fonden"}],"funders":[{"id":"https://openalex.org/F4320323153","display_name":"Danmarks Tekniske Universitet","ror":"https://ror.org/04qtj9h94"},{"id":"https://openalex.org/F4320325957","display_name":"Novo Nordisk Fonden","ror":"https://ror.org/04txyc737"},{"id":"https://openalex.org/F4320329036","display_name":"Applied Molecular Biosciences Unit","ror":null},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1964735120","https://openalex.org/W1968326286","https://openalex.org/W2013933946","https://openalex.org/W2110485445","https://openalex.org/W2162870748","https://openalex.org/W2568168970","https://openalex.org/W2899283552","https://openalex.org/W2903010511","https://openalex.org/W2998366519","https://openalex.org/W3027009624","https://openalex.org/W3029447859","https://openalex.org/W3047547149","https://openalex.org/W3162278734","https://openalex.org/W3169690751","https://openalex.org/W3201644990","https://openalex.org/W3208953217","https://openalex.org/W4288595302","https://openalex.org/W4288908653","https://openalex.org/W4289293306","https://openalex.org/W4296407095","https://openalex.org/W4298087658","https://openalex.org/W4300713618","https://openalex.org/W4318481641","https://openalex.org/W4321350776","https://openalex.org/W4361206208","https://openalex.org/W4380854437","https://openalex.org/W4384790048","https://openalex.org/W4387171501","https://openalex.org/W4387880420","https://openalex.org/W4389847609","https://openalex.org/W4392650285","https://openalex.org/W4404734156","https://openalex.org/W4404933051","https://openalex.org/W4405694944","https://openalex.org/W6778224881","https://openalex.org/W6839723430","https://openalex.org/W6854466104","https://openalex.org/W6858982527","https://openalex.org/W6873894047","https://openalex.org/W6874192882"],"related_works":["https://openalex.org/W2289718384","https://openalex.org/W1995675544","https://openalex.org/W2509524819","https://openalex.org/W2012121796","https://openalex.org/W2068427817","https://openalex.org/W2952090425","https://openalex.org/W2538333368","https://openalex.org/W3127866798","https://openalex.org/W4294845631","https://openalex.org/W1518153952"],"abstract_inverted_index":{"Funding":[0,110,177],"Information:":[1,111,178],"The":[2,112,229],"authors":[3,113],"of":[4,10,17,39,60,114,120,127,149,170],"this":[5,115],"work":[6,67,116,180],"acknowledge":[7,92,117,207],"the":[8,15,40,51,57,71,95,118,125,150,161,167,184,210],"efforts":[9,119],"students":[11,121],"and":[12,19,89,101,122,129,204,216],"staff":[13,123],"at":[14,124],"department":[16,126],"Chemical":[18,128],"Biochemical":[20,130],"Engineering,":[21,131],"DTU,":[22,132],"for":[23,37,55,133,147,165],"making":[24,134],"process":[25,135],"data":[26,136],"available":[27,137],"that":[28,138],"was":[29,68,139,181],"generated":[30,140],"during":[31,141],"courses":[32,142],"in":[33,143],"experimental":[34,144],"unit":[35,145],"operations":[36,146],"training":[38,148],"hybrid":[41,151],"models.":[42,152],"We":[43,153],"would":[44,154],"also":[45,155],"like":[46,156],"to":[47,50,157,160],"express":[48,158],"gratitude":[49,159],"Novo":[52,162],"Nordisk":[53,163],"Foundation":[54,164],"funding":[56,93,166,208],"digital":[58,168],"infrastructure":[59,169],"pilot":[61,171],"facilities":[62,172],"through":[63,173],"grant":[64,105,174,220],"NNF19SA0035474.":[65],"This":[66,179],"supported":[69,182],"by":[70,81,183,194],"Applied":[72,185],"Molecular":[73,186],"Biosciences":[74,187],"Unit":[75,188],"-":[76,189],"UCIBIO":[77,190],"which":[78,191],"is":[79,192],"financed":[80,193],"national":[82,195],"funds":[83,196],"from":[84,94,197,209],"FCT":[85,198],"(UIDB/04378/2020).":[86],"Rui":[87,202],"Oliveira":[88,203],"Monesh":[90,205],"Kumar":[91,206],"European":[96,211],"Union's":[97],"Horizon":[98,213],"2020":[99,214],"research":[100,215],"innovation":[102,217],"program":[103,218],"under":[104,219],"agreement":[106,221],"no.":[107,222],"101099487\\u2014BioLaMer-HORIZON-EIC-2022-PATHFINDEROPEN-01":[108,223],"(BioLaMer)":[109,224],"NNF19SA0035474":[175],".":[176],"(":[199],"UIDB/04378/2020":[200],").":[201],"Union\\u2019s":[212],"Publisher":[225],"Copyright:":[226],"\u00a9":[227],"2025":[228],"Authors":[230]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-04-06T00:00:00"}