{"id":"https://openalex.org/W4389298155","doi":"https://doi.org/10.1038/s42256-023-00761-y","title":"Physics-enhanced deep surrogates for partial differential equations","display_name":"Physics-enhanced deep surrogates for partial differential equations","publication_year":2023,"publication_date":"2023-12-04","ids":{"openalex":"https://openalex.org/W4389298155","doi":"https://doi.org/10.1038/s42256-023-00761-y"},"language":"en","primary_location":{"id":"doi:10.1038/s42256-023-00761-y","is_oa":false,"landing_page_url":"https://doi.org/10.1038/s42256-023-00761-y","pdf_url":null,"source":{"id":"https://openalex.org/S2912241403","display_name":"Nature Machine Intelligence","issn_l":"2522-5839","issn":["2522-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Machine Intelligence","raw_type":"journal-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/A5041370077","display_name":"Rapha\u00ebl Pestourie","orcid":"https://orcid.org/0000-0001-6267-8771"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rapha\u00ebl Pestourie","raw_affiliation_strings":["School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6267-8771","affiliations":[{"raw_affiliation_string":"School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064636177","display_name":"Youssef Mroueh","orcid":"https://orcid.org/0000-0001-8798-1267"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Youssef Mroueh","raw_affiliation_strings":["IBM Research AI, IBM Thomas J Watson Research Center, Yorktown Heights, NY, USA","MIT-IBM Watson AI Laboratory, Cambridge, MA, USA"],"raw_orcid":"https://orcid.org/0000-0001-8798-1267","affiliations":[{"raw_affiliation_string":"IBM Research AI, IBM Thomas J Watson Research Center, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I4210114115"]},{"raw_affiliation_string":"MIT-IBM Watson AI Laboratory, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043195923","display_name":"Christopher Rackauckas","orcid":"https://orcid.org/0000-0001-5850-0663"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chris Rackauckas","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064335115","display_name":"Payel Das","orcid":"https://orcid.org/0000-0002-7288-0516"},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Payel Das","raw_affiliation_strings":["IBM Research AI, IBM Thomas J Watson Research Center, Yorktown Heights, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-7288-0516","affiliations":[{"raw_affiliation_string":"IBM Research AI, IBM Thomas J Watson Research Center, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087662980","display_name":"Steven G. Johnson","orcid":"https://orcid.org/0000-0001-7327-4967"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven G. Johnson","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5041370077"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":{"value":9750,"currency":"EUR","value_usd":11690},"apc_paid":null,"fwci":5.1181,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.9604608,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"5","issue":"12","first_page":"1458","last_page":"1465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9735000133514404,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6701581478118896},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6253020167350769},{"id":"https://openalex.org/keywords/surrogate-model","display_name":"Surrogate model","score":0.6167818903923035},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.5707322955131531},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5651323199272156},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4958218038082123},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.43382638692855835},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3568893373012543},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3332609534263611},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3289676308631897},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.32896023988723755},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1629733145236969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11514735221862793}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6701581478118896},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6253020167350769},{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.6167818903923035},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.5707322955131531},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5651323199272156},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4958218038082123},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.43382638692855835},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3568893373012543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3332609534263611},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3289676308631897},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.32896023988723755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1629733145236969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11514735221862793},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1038/s42256-023-00761-y","is_oa":false,"landing_page_url":"https://doi.org/10.1038/s42256-023-00761-y","pdf_url":null,"source":{"id":"https://openalex.org/S2912241403","display_name":"Nature Machine Intelligence","issn_l":"2522-5839","issn":["2522-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Machine Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.47999998927116394,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1847162973","https://openalex.org/W1976722991","https://openalex.org/W2005428860","https://openalex.org/W2051434435","https://openalex.org/W2078628709","https://openalex.org/W2115651029","https://openalex.org/W2137972692","https://openalex.org/W2141506705","https://openalex.org/W2152896489","https://openalex.org/W2153245297","https://openalex.org/W2586679507","https://openalex.org/W2784648660","https://openalex.org/W2801128564","https://openalex.org/W2808265198","https://openalex.org/W2915854813","https://openalex.org/W2949800318","https://openalex.org/W2952405152","https://openalex.org/W2964168610","https://openalex.org/W2979786244","https://openalex.org/W2999026783","https://openalex.org/W3012417314","https://openalex.org/W3033067316","https://openalex.org/W3036548566","https://openalex.org/W3081873517","https://openalex.org/W3092923133","https://openalex.org/W3093786597","https://openalex.org/W3097352266","https://openalex.org/W3098990051","https://openalex.org/W3105195789","https://openalex.org/W3112085823","https://openalex.org/W3128157635","https://openalex.org/W3152573847","https://openalex.org/W3159459475","https://openalex.org/W3161200675","https://openalex.org/W3163993681","https://openalex.org/W3182899221","https://openalex.org/W3185585276","https://openalex.org/W3202040969","https://openalex.org/W3202183072","https://openalex.org/W4221011222","https://openalex.org/W4224089288","https://openalex.org/W4229786028","https://openalex.org/W4234698323","https://openalex.org/W4249736682","https://openalex.org/W4250720254","https://openalex.org/W4281695078","https://openalex.org/W4289785220","https://openalex.org/W4394059642","https://openalex.org/W6688038182","https://openalex.org/W6931947548"],"related_works":["https://openalex.org/W4367145462","https://openalex.org/W3011358647","https://openalex.org/W4388965878","https://openalex.org/W2911578761","https://openalex.org/W3133763041","https://openalex.org/W2791576819","https://openalex.org/W1006933851","https://openalex.org/W4312678460","https://openalex.org/W3158153085","https://openalex.org/W4388873753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
