{"id":"https://openalex.org/W4224273041","doi":"https://doi.org/10.1109/tai.2022.3179681","title":"Thermodynamics-Informed Graph Neural Networks","display_name":"Thermodynamics-Informed Graph Neural Networks","publication_year":2022,"publication_date":"2022-06-02","ids":{"openalex":"https://openalex.org/W4224273041","doi":"https://doi.org/10.1109/tai.2022.3179681"},"language":"en","primary_location":{"id":"doi:10.1109/tai.2022.3179681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tai.2022.3179681","pdf_url":null,"source":{"id":"https://openalex.org/S4210169448","display_name":"IEEE Transactions on Artificial Intelligence","issn_l":"2691-4581","issn":["2691-4581"],"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 Artificial Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2203.01874","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024406335","display_name":"Quercus Hern\u00e1ndez","orcid":"https://orcid.org/0000-0003-2571-4889"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Quercus Hern\u00e1ndez","raw_affiliation_strings":["Aragon Institute of Engineering Research (I3A), Universidad de Zaragoza, Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Aragon Institute of Engineering Research (I3A), Universidad de Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062200261","display_name":"Alberto Bad\u00edas","orcid":"https://orcid.org/0000-0001-7639-6767"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alberto Bad\u00edas","raw_affiliation_strings":["Higher Technical School of Industrial Engineering, Polytechnic University of Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Higher Technical School of Industrial Engineering, Polytechnic University of Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083504898","display_name":"Francisco Chinesta","orcid":null},"institutions":[{"id":"https://openalex.org/I103562704","display_name":"ESI Group (France)","ror":"https://ror.org/05ww4z228","country_code":"FR","type":"company","lineage":["https://openalex.org/I103562704"]},{"id":"https://openalex.org/I190861549","display_name":"Arts et M\u00e9tiers","ror":"https://ror.org/018pp1107","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francisco Chinesta","raw_affiliation_strings":["ESI Group, PIMM Laboratory, ENSAM Institute of Technology, Paris, France","CNRS@CREATE LTD, Singapore"],"affiliations":[{"raw_affiliation_string":"ESI Group, PIMM Laboratory, ENSAM Institute of Technology, Paris, France","institution_ids":["https://openalex.org/I103562704","https://openalex.org/I190861549"]},{"raw_affiliation_string":"CNRS@CREATE LTD, Singapore","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076212934","display_name":"El\u00edas Cueto","orcid":"https://orcid.org/0000-0003-1017-4381"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"El\u00edas Cueto","raw_affiliation_strings":["Aragon Institute of Engineering Research (I3A), Universidad de Zaragoza, Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Aragon Institute of Engineering Research (I3A), Universidad de Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024406335"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":5.1316,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.96303362,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"5","issue":"3","first_page":"967","last_page":"976"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9948999881744385,"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":0.9948999881744385,"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/T10320","display_name":"Neural Networks and Applications","score":0.9934999942779541,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials 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":0.47928518056869507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42256537079811096},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4158988893032074},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.32177233695983887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2919055223464966},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.24223747849464417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15314096212387085}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.47928518056869507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42256537079811096},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4158988893032074},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.32177233695983887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2919055223464966},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.24223747849464417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15314096212387085}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tai.2022.3179681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tai.2022.3179681","pdf_url":null,"source":{"id":"https://openalex.org/S4210169448","display_name":"IEEE Transactions on Artificial Intelligence","issn_l":"2691-4581","issn":["2691-4581"],"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 Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2203.01874","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.01874","pdf_url":"https://arxiv.org/pdf/2203.01874","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-05587350v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05587350","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Artificial Intelligence, 2024, 5 (3), pp.967-976. &#x27E8;10.1109/TAI.2022.3179681&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2203.01874","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.01874","pdf_url":"https://arxiv.org/pdf/2203.01874","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2197088931","display_name":null,"funder_award_id":"AEI /10.13039/501100011033, PID2020-113463RB-C31","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G315865964","display_name":null,"funder_award_id":"T24-20R","funder_id":"https://openalex.org/F4320326208","funder_display_name":"Gobierno de Arag\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326208","display_name":"Gobierno de Arag\u00f3n","ror":"https://ror.org/0425pg203"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1550162964","https://openalex.org/W1928278792","https://openalex.org/W1983639022","https://openalex.org/W1988115241","https://openalex.org/W1999110794","https://openalex.org/W2035511716","https://openalex.org/W2044492748","https://openalex.org/W2194775991","https://openalex.org/W2558748708","https://openalex.org/W2600297185","https://openalex.org/W2606780347","https://openalex.org/W2745110207","https://openalex.org/W2766736793","https://openalex.org/W2787337315","https://openalex.org/W2798405286","https://openalex.org/W2805516822","https://openalex.org/W2899283552","https://openalex.org/W2899771611","https://openalex.org/W2907101105","https://openalex.org/W2907233076","https://openalex.org/W2922228302","https://openalex.org/W2943931381","https://openalex.org/W2948680363","https://openalex.org/W2963241951","https://openalex.org/W2969937244","https://openalex.org/W2976793329","https://openalex.org/W2979750740","https://openalex.org/W3003391692","https://openalex.org/W3007913393","https://openalex.org/W3013398575","https://openalex.org/W3015451250","https://openalex.org/W3021128674","https://openalex.org/W3034681945","https://openalex.org/W3036548566","https://openalex.org/W3040708241","https://openalex.org/W3045164669","https://openalex.org/W3101073376","https://openalex.org/W3135025573","https://openalex.org/W3173957430","https://openalex.org/W3178713097","https://openalex.org/W3183256646","https://openalex.org/W3198730848","https://openalex.org/W4287114622","https://openalex.org/W4287287912","https://openalex.org/W4287319676","https://openalex.org/W4287325738","https://openalex.org/W4287645102","https://openalex.org/W4288102126","https://openalex.org/W4293363567","https://openalex.org/W4293875305","https://openalex.org/W4297733535","https://openalex.org/W4301932427","https://openalex.org/W4320930577","https://openalex.org/W6736685754","https://openalex.org/W6746023985","https://openalex.org/W6748320467","https://openalex.org/W6749077313","https://openalex.org/W6751638560","https://openalex.org/W6751796012","https://openalex.org/W6760210069","https://openalex.org/W6762078418","https://openalex.org/W6763340073","https://openalex.org/W6766837696","https://openalex.org/W6768147225","https://openalex.org/W6768331551","https://openalex.org/W6773573785","https://openalex.org/W6774033856","https://openalex.org/W6775324215","https://openalex.org/W6780561946","https://openalex.org/W6783741718","https://openalex.org/W6790561777","https://openalex.org/W6791828720","https://openalex.org/W6797456729"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"present":[4],"a":[5,47],"deep":[6,129],"learning":[7,64],"method":[8],"to":[9,27,77],"predict":[10],"the":[11,33,65,69,74,94,112],"temporal":[12],"evolution":[13],"of":[14,32,68,73,96,106],"dissipative":[15],"dynamic":[16],"systems.":[17],"We":[18],"propose":[19],"using":[20],"both":[21,88,125],"geometric":[22,128],"and":[23,30,54,90,98,127],"thermodynamic":[24],"inductive":[25],"biases":[26],"improve":[28],"accuracy":[29],"generalization":[31],"resulting":[34],"integration":[35],"scheme.":[36],"The":[37,58],"first":[38],"is":[39,61],"achieved":[40],"with":[41,51],"graph":[42],"neural":[43],"networks,":[44],"which":[45],"induces":[46],"non-Euclidean":[48],"geometrical":[49],"prior":[50],"permutation-invariant":[52],"node":[53],"edge":[55],"update":[56],"functions.":[57],"second":[59],"bias":[60],"forced":[62],"by":[63],"GENERIC":[66],"structure":[67],"problem,":[70],"an":[71],"extension":[72],"Hamiltonian":[75],"formalism,":[76],"model":[78],"more":[79],"general":[80],"nonconservative":[81],"dynamics.":[82],"Several":[83],"examples":[84],"are":[85,118],"provided":[86,119],"in":[87,93,110,124],"Eulerian":[89],"Lagrangian":[91],"description":[92],"context":[95],"fluid":[97],"solid":[99],"mechanics,":[100],"respectively,":[101],"achieving":[102],"relative":[103],"mean":[104],"errors":[105],"less":[107],"than":[108],"3%":[109],"all":[111],"tested":[113],"examples.":[114],"Two":[115],"ablation":[116],"studies":[117],"based":[120],"on":[121],"recent":[122],"works":[123],"Physics-informed":[126],"learning.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":3}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
