{"id":"https://openalex.org/W2759838493","doi":"https://doi.org/10.1137/16m1094750","title":"Data-Driven Reduced Model Construction with Time-Domain Loewner Models","display_name":"Data-Driven Reduced Model Construction with Time-Domain Loewner Models","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2759838493","doi":"https://doi.org/10.1137/16m1094750","mag":"2759838493"},"language":"en","primary_location":{"id":"doi:10.1137/16m1094750","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1094750","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5027402421","display_name":"Benjamin Peherstorfer","orcid":"https://orcid.org/0000-0002-1558-6775"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Peherstorfer","raw_affiliation_strings":["Department of Aeronautics & Astronautics, MIT, Cambridge, MA 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aeronautics & Astronautics, MIT, Cambridge, MA 02139","institution_ids":["https://openalex.org/I46020346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028332862","display_name":"Serkan Gugercin","orcid":"https://orcid.org/0000-0003-4564-5999"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Serkan Gugercin","raw_affiliation_strings":["Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0123"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0123","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017431306","display_name":"Karen Willcox","orcid":"https://orcid.org/0000-0003-2156-9338"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karen Willcox","raw_affiliation_strings":["Department of Aeronautics & Astronautics, MIT, Cambridge, MA 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aeronautics & Astronautics, MIT, Cambridge, MA 02139","institution_ids":["https://openalex.org/I46020346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2989,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.92493006,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"39","issue":"5","first_page":"A2152","last_page":"A2178"},"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":0.9952999949455261,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.984000027179718,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.670364499092102},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6256319880485535},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.5567724108695984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.475763738155365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47439053654670715},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.46561384201049805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4625626802444458},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4443608522415161},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4392004609107971},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42140743136405945},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4178682565689087},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4100337624549866},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11903390288352966},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11595454812049866}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.670364499092102},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6256319880485535},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.5567724108695984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.475763738155365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47439053654670715},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.46561384201049805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4625626802444458},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4443608522415161},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4392004609107971},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42140743136405945},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4178682565689087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4100337624549866},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11903390288352966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11595454812049866},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1094750","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1094750","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2149260794","display_name":"Interpolatory Model Reduction for the Control of Fluids","funder_award_id":"1522616","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G635999693","display_name":"CDS&E: Collaborative Research: A Bayesian inference/prediction/control framework for optimal management of CO2 sequestration","funder_award_id":"1507488","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7885994501","display_name":null,"funder_award_id":"1507488","funder_id":"https://openalex.org/F4320337390","funder_display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems"},{"id":"https://openalex.org/G8780415384","display_name":null,"funder_award_id":"DMS-1522616","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320337390","display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems","ror":"https://ror.org/0471zv972"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1633869374","https://openalex.org/W1635210704","https://openalex.org/W1723433682","https://openalex.org/W1862501815","https://openalex.org/W1966104103","https://openalex.org/W1966992674","https://openalex.org/W1988249696","https://openalex.org/W2009805752","https://openalex.org/W2034840616","https://openalex.org/W2036272365","https://openalex.org/W2043307446","https://openalex.org/W2049381134","https://openalex.org/W2050409837","https://openalex.org/W2052501517","https://openalex.org/W2052690618","https://openalex.org/W2053095324","https://openalex.org/W2058084172","https://openalex.org/W2064733273","https://openalex.org/W2078898317","https://openalex.org/W2082521232","https://openalex.org/W2084698730","https://openalex.org/W2110418811","https://openalex.org/W2110917150","https://openalex.org/W2112823474","https://openalex.org/W2123879611","https://openalex.org/W2125201600","https://openalex.org/W2137874355","https://openalex.org/W2144144709","https://openalex.org/W2148087508","https://openalex.org/W2152856714","https://openalex.org/W2152896489","https://openalex.org/W2155154046","https://openalex.org/W2167933592","https://openalex.org/W2168970443","https://openalex.org/W2239232218","https://openalex.org/W2332297685","https://openalex.org/W2470931065","https://openalex.org/W2565430228","https://openalex.org/W3099803807"],"related_works":["https://openalex.org/W4385437088","https://openalex.org/W2782295999","https://openalex.org/W2162306796","https://openalex.org/W1970292246","https://openalex.org/W2016162169","https://openalex.org/W4247952185","https://openalex.org/W1895367623","https://openalex.org/W1642462315","https://openalex.org/W2015118744","https://openalex.org/W2005619368"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"a":[3,45,55,86,111,115,123,143,148,173],"data-driven":[4,106,129],"nonintrusive":[5,58,130],"model":[6,18,33,125,135,146,171],"reduction":[7,19,136],"approach":[8,59,152],"for":[9,160],"large-scale":[10],"time-dependent":[11],"systems":[12],"with":[13,126],"linear":[14],"state":[15],"dependence.":[16],"Traditionally,":[17],"is":[20,119],"performed":[21],"in":[22,38],"an":[23,39],"intrusive":[24],"projection-based":[25],"framework,":[26],"where":[27],"the":[28,31,49,52,67,72,77,89,105,127,154,169],"operators":[29,53],"of":[30,51,66,71,88,147],"full":[32,73,90,170],"are":[34,82],"required":[35,120],"either":[36],"explicitly":[37],"assembled":[40],"form":[41],"or":[42],"implicitly":[43],"through":[44],"routine":[46],"that":[47],"returns":[48],"action":[50],"on":[54,138],"vector.":[56],"Our":[57],"constructs":[60],"reduced":[61,112,124,157,165],"models":[62,158,166],"directly":[63],"from":[64,98],"trajectories":[65,81,102],"inputs":[68],"and":[69,103,142],"outputs":[70],"model,":[74],"without":[75],"requiring":[76],"full-model":[78],"operators.":[79],"These":[80],"generated":[83],"by":[84],"running":[85],"simulation":[87,118],"model;":[91],"our":[92,134,151],"method":[93,137],"then":[94],"infers":[95],"frequency-response":[96],"data":[97],"these":[99,161],"simulated":[100],"time-domain":[101,117],"uses":[104],"Loewner":[107,156],"framework":[108],"to":[109,121],"derive":[110,122],"model.":[113],"Only":[114],"single":[116],"new":[128],"approach.":[131],"We":[132],"demonstrate":[133],"several":[139],"benchmark":[140],"examples":[141],"finite":[144],"element":[145],"cantilever":[149],"beam;":[150],"recovers":[153],"classical":[155],"and,":[159],"problems,":[162],"yields":[163],"high-quality":[164],"despite":[167],"treating":[168],"as":[172],"black":[174],"box.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":3}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}