{"id":"https://openalex.org/W3140247478","doi":"https://doi.org/10.1109/cdc45484.2021.9682841","title":"Parametric model reduction via rational interpolation along parameters","display_name":"Parametric model reduction via rational interpolation along parameters","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3140247478","doi":"https://doi.org/10.1109/cdc45484.2021.9682841","mag":"3140247478"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682841","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/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":false,"raw_author_name":"Ion Victor Gosea","raw_affiliation_strings":["Max Planck Institute, Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"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":["Virginia Tech, Blacksburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038272163","display_name":"Benjamin Unger","orcid":"https://orcid.org/0000-0003-4272-1079"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I31582689","display_name":"Stuttgart Technical University of Applied Sciences","ror":"https://ror.org/039gdg280","country_code":"DE","type":"education","lineage":["https://openalex.org/I31582689"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benjamin Unger","raw_affiliation_strings":["SC Simulation Technology, University of Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SC Simulation Technology, University of Stuttgart, Germany","institution_ids":["https://openalex.org/I31582689","https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6825,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60465116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6895","last_page":"6900"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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":0.9861999750137329,"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":0.9715999960899353,"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/parametric-statistics","display_name":"Parametric statistics","score":0.6907416582107544},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6784881949424744},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.6782297492027283},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6428138017654419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6296907663345337},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5977644920349121},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.4567055404186249},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45549166202545166},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45390310883522034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44017526507377625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36411532759666443},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32389533519744873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32098111510276794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24997466802597046},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1256086826324463},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07818412780761719}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6907416582107544},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6784881949424744},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.6782297492027283},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6428138017654419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6296907663345337},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5977644920349121},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.4567055404186249},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45549166202545166},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45390310883522034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44017526507377625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36411532759666443},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32389533519744873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32098111510276794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24997466802597046},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1256086826324463},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07818412780761719},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682841","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1551480811","https://openalex.org/W1965315468","https://openalex.org/W1966104103","https://openalex.org/W2007161305","https://openalex.org/W2017999133","https://openalex.org/W2045266717","https://openalex.org/W2059515224","https://openalex.org/W2133041109","https://openalex.org/W2152896489","https://openalex.org/W2158236744","https://openalex.org/W2226462370","https://openalex.org/W2295099209","https://openalex.org/W2343596867","https://openalex.org/W2514693065","https://openalex.org/W2573928816","https://openalex.org/W2582094096","https://openalex.org/W2810271278","https://openalex.org/W2908318844","https://openalex.org/W2998111093","https://openalex.org/W3006275387","https://openalex.org/W3010890826","https://openalex.org/W3038064391","https://openalex.org/W3080340462","https://openalex.org/W3101644089","https://openalex.org/W3124293288","https://openalex.org/W3144040292","https://openalex.org/W3150423751","https://openalex.org/W4285074575","https://openalex.org/W6757208354","https://openalex.org/W6772087323"],"related_works":["https://openalex.org/W2211201902","https://openalex.org/W3094515845","https://openalex.org/W2982338311","https://openalex.org/W1610978630","https://openalex.org/W4237698157","https://openalex.org/W2367964354","https://openalex.org/W106171023","https://openalex.org/W2379343790","https://openalex.org/W2022518223","https://openalex.org/W2381598593"],"abstract_inverted_index":{"We":[0,48,92],"present":[1],"a":[2,20,40],"novel":[3],"projection-based":[4],"model":[5],"reduction":[6],"framework":[7],"for":[8,39,62],"parametric":[9],"linear":[10],"time-invariant":[11],"systems":[12],"that":[13,61],"allows":[14],"interpolating":[15],"the":[16,30,66,77,82,94],"transfer":[17,34],"function":[18,35],"at":[19],"given":[21],"frequency":[22,46],"point":[23],"along":[24],"parameter-dependent":[25,54],"curves":[26],"as":[27],"opposed":[28],"to":[29],"standard":[31,90],"approach":[32],"where":[33],"interpolation":[36],"is":[37],"achieved":[38],"discrete":[41],"set":[42],"of":[43,76,81],"parameter":[44],"and":[45],"samples.":[47],"accomplish":[49],"this":[50],"goal":[51],"by":[52],"using":[53,89],"projection":[55,69,83],"spaces.":[56],"Our":[57],"main":[58],"result":[59],"shows":[60],"holomorphic":[63],"system":[64],"matrices,":[65],"corresponding":[67],"interpolatory":[68],"spaces":[70,84],"are":[71],"also":[72],"holomorphic.":[73],"The":[74],"coefficients":[75],"power":[78],"series":[79],"representation":[80],"can":[85],"be":[86],"computed":[87],"iteratively":[88],"methods.":[91],"illustrate":[93],"analysis":[95],"on":[96],"three":[97],"numerical":[98],"examples.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}