{"id":"https://openalex.org/W3134935986","doi":"https://doi.org/10.1007/s10915-022-01771-5","title":"Data-Driven Modeling of Linear Dynamical Systems with Quadratic Output in the AAA Framework","display_name":"Data-Driven Modeling of Linear Dynamical Systems with Quadratic Output in the AAA Framework","publication_year":2022,"publication_date":"2022-02-28","ids":{"openalex":"https://openalex.org/W3134935986","doi":"https://doi.org/10.1007/s10915-022-01771-5","mag":"3134935986","pmid":"https://pubmed.ncbi.nlm.nih.gov/35400808"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01771-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01771-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-022-01771-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-022-01771-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004669880","display_name":"Ion Victor Gosea","orcid":"https://orcid.org/0000-0003-3580-4116"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ion Victor Gosea","raw_affiliation_strings":["Data-Driven System Reduction and Identification (DRI) Group, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany","Data-Driven System Reduction and Identification (DRI) Group, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106, Magdeburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3580-4116","affiliations":[{"raw_affiliation_string":"Data-Driven System Reduction and Identification (DRI) Group, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]},{"raw_affiliation_string":"Data-Driven System Reduction and Identification (DRI) Group, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"author_position":"last","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 and Computational Modeling and Data Analytics Division, Academy of Data Science, Virginia Tech, Blacksburg, VA 24061 USA","Department of Mathematics and Computational Modeling and Data Analytics Division, Academy of Data Science, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":"https://orcid.org/0000-0003-4564-5999","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computational Modeling and Data Analytics Division, Academy of Data Science, Virginia Tech, Blacksburg, VA 24061 USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Mathematics and Computational Modeling and Data Analytics Division, Academy of Data Science, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004669880"],"corresponding_institution_ids":["https://openalex.org/I4210127568"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.751,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84082474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"91","issue":"1","first_page":"16","last_page":"16"},"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":0.9969000220298767,"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/T11236","display_name":"Control Systems and Identification","score":0.9805999994277954,"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/mathematics","display_name":"Mathematics","score":0.7706606388092041},{"id":"https://openalex.org/keywords/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.750249981880188},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6454364061355591},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6183035969734192},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5894272327423096},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.576945424079895},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5124278664588928},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5098918676376343},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.501537561416626},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4583423137664795},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4421175420284271},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42023056745529175},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39934372901916504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39204609394073486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17560186982154846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13938814401626587},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.08570367097854614}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7706606388092041},{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.750249981880188},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6454364061355591},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6183035969734192},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5894272327423096},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.576945424079895},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5124278664588928},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5098918676376343},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.501537561416626},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4583423137664795},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4421175420284271},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42023056745529175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39934372901916504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39204609394073486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17560186982154846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13938814401626587},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.08570367097854614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-022-01771-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01771-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-022-01771-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmid:35400808","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35400808","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of scientific computing","raw_type":null},{"id":"pmh:oai:pure.mpg.de:item_3289554","is_oa":true,"landing_page_url":"https://hdl.handle.net/21.11116/0000-0008-1605-A","pdf_url":"http://hdl.handle.net/21.11116/0000-0008-1605-A","source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Journal of Scientific Computing","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8958927","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8958927","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"J Sci Comput","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s10915-022-01771-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01771-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-022-01771-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2095304781","display_name":null,"funder_award_id":"1819110","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3102655334","display_name":null,"funder_award_id":"507536","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4064674501","display_name":null,"funder_award_id":"1720257","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G4299339130","display_name":null,"funder_award_id":"1439786","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3134935986.pdf","grobid_xml":"https://content.openalex.org/works/W3134935986.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W151970475","https://openalex.org/W747309577","https://openalex.org/W1551480811","https://openalex.org/W1597839575","https://openalex.org/W1981115560","https://openalex.org/W2043307446","https://openalex.org/W2045266717","https://openalex.org/W2048155683","https://openalex.org/W2050409837","https://openalex.org/W2058522416","https://openalex.org/W2060219659","https://openalex.org/W2078491101","https://openalex.org/W2090292347","https://openalex.org/W2135187213","https://openalex.org/W2155154046","https://openalex.org/W2171353752","https://openalex.org/W2226462370","https://openalex.org/W2295099209","https://openalex.org/W2297389119","https://openalex.org/W2560261741","https://openalex.org/W2592428685","https://openalex.org/W2644635209","https://openalex.org/W2736250628","https://openalex.org/W2784944510","https://openalex.org/W2798909945","https://openalex.org/W2962706012","https://openalex.org/W3006275387","https://openalex.org/W3008005432","https://openalex.org/W3010890826","https://openalex.org/W3012170736","https://openalex.org/W3012484427","https://openalex.org/W3029645440","https://openalex.org/W3087980716","https://openalex.org/W3098594427","https://openalex.org/W3124293288","https://openalex.org/W3127631414","https://openalex.org/W3170162203","https://openalex.org/W3179955115","https://openalex.org/W3183456087","https://openalex.org/W3194724611","https://openalex.org/W4210968171","https://openalex.org/W4213230606","https://openalex.org/W4231466597","https://openalex.org/W4238160257","https://openalex.org/W4301014524","https://openalex.org/W4312258136","https://openalex.org/W6601103585","https://openalex.org/W6635898001"],"related_works":["https://openalex.org/W1991334951","https://openalex.org/W2064234232","https://openalex.org/W3166247578","https://openalex.org/W75826713","https://openalex.org/W2163636248","https://openalex.org/W1983170893","https://openalex.org/W2356238457","https://openalex.org/W3149799439","https://openalex.org/W3204985021","https://openalex.org/W2355408552"],"abstract_inverted_index":{"We":[0,44,71],"extend":[1],"the":[2,31,35,41,47,52,56,67,76,92,105,108],"Adaptive":[3],"Antoulas-Anderson":[4],"(AAA)":[5],"algorithm":[6],"to":[7,30,40,66],"develop":[8],"a":[9,81,88],"data-driven":[10,97],"modeling":[11],"framework":[12],"for":[13,55],"linear":[14,32],"systems":[15,21],"with":[16,86],"quadratic":[17,42],"output":[18,36],"(LQO).":[19],"Such":[20],"are":[22],"characterized":[23],"by":[24,74],"two":[25,57],"transfer":[26,58,77],"functions:":[27],"one":[28,39],"corresponding":[29],"part":[33],"of":[34,60,83,107],"and":[37,51],"another":[38],"part.":[43],"first":[45],"establish":[46],"joint":[48],"barycentric":[49],"representations":[50],"interpolation":[53],"theory":[54],"functions":[59],"LQO":[61,98],"systems.":[62],"This":[63],"analysis":[64],"leads":[65],"proposed":[68,109],"AAA-LQO":[69],"algorithm.":[70],"show":[72],"that":[73],"interpolating":[75],"function":[78],"values":[79],"on":[80,91],"subset":[82],"samples":[84],"together":[85],"imposing":[87],"least-squares":[89],"minimization":[90],"rest,":[93],"we":[94],"construct":[95],"reliable":[96],"models.":[99],"Two":[100],"numerical":[101],"test":[102],"cases":[103],"illustrate":[104],"efficiency":[106],"method.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}