{"id":"https://openalex.org/W3107846856","doi":"https://doi.org/10.1007/s10444-020-09825-8","title":"Sampling-free model reduction of systems with low-rank parameterization","display_name":"Sampling-free model reduction of systems with low-rank parameterization","publication_year":2020,"publication_date":"2020-11-19","ids":{"openalex":"https://openalex.org/W3107846856","doi":"https://doi.org/10.1007/s10444-020-09825-8","mag":"3107846856"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09825-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09825-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5084513956","display_name":"Christopher Beattie","orcid":"https://orcid.org/0000-0003-3302-4845"},"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":"Christopher Beattie","raw_affiliation_strings":["Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"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, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058439950","display_name":"Zoran Tomljanovi\u0107","orcid":"https://orcid.org/0000-0002-3239-760X"},"institutions":[{"id":"https://openalex.org/I51314090","display_name":"University of Osijek","ror":"https://ror.org/05sw4wc49","country_code":"HR","type":"education","lineage":["https://openalex.org/I51314090"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Zoran Tomljanovi\u0107","raw_affiliation_strings":["Department of Mathematics, J.J. Strossmayer University of Osijek, Osijek, Croatia"],"raw_orcid":"https://orcid.org/0000-0002-3239-760X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, J.J. Strossmayer University of Osijek, Osijek, Croatia","institution_ids":["https://openalex.org/I51314090"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058439950"],"corresponding_institution_ids":["https://openalex.org/I51314090"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5342,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65105629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"6","first_page":null,"last_page":null},"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":0.9983000159263611,"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":0.9919000267982483,"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/parametric-statistics","display_name":"Parametric statistics","score":0.6989920139312744},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6638407111167908},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6425257921218872},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.6004958748817444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5636205077171326},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5494142174720764},{"id":"https://openalex.org/keywords/parametric-model","display_name":"Parametric model","score":0.532644510269165},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5133113265037537},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4507756233215332},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.44936999678611755},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4349100887775421},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4309142827987671},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4284265339374542},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4205940365791321},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.41099151968955994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37959060072898865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3779430687427521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34857630729675293},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21810385584831238}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6989920139312744},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6638407111167908},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6425257921218872},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6004958748817444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5636205077171326},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5494142174720764},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.532644510269165},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5133113265037537},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4507756233215332},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.44936999678611755},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4349100887775421},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4309142827987671},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4284265339374542},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4205940365791321},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.41099151968955994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37959060072898865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3779430687427521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34857630729675293},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21810385584831238},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-020-09825-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09825-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5391329560","display_name":"Control of Dynamical Systems","funder_award_id":"IP-2016-06-2468","funder_id":"https://openalex.org/F4320322674","funder_display_name":"Hrvatska Zaklada za Znanost"},{"id":"https://openalex.org/G6127792685","display_name":null,"funder_award_id":"DMS-1720257","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7996343851","display_name":null,"funder_award_id":"DMS-1923221","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8573327702","display_name":"Vibration Reduction in Mechanical Systems","funder_award_id":"IP-2019-04-6774","funder_id":"https://openalex.org/F4320322674","funder_display_name":"Hrvatska Zaklada za Znanost"},{"id":"https://openalex.org/G8835161204","display_name":null,"funder_award_id":"DMS-1819110","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320322674","display_name":"Hrvatska Zaklada za Znanost","ror":"https://ror.org/03n51vw80"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W84119631","https://openalex.org/W297328598","https://openalex.org/W1503787277","https://openalex.org/W1506498822","https://openalex.org/W1536279518","https://openalex.org/W1551480811","https://openalex.org/W1564394409","https://openalex.org/W1587462544","https://openalex.org/W1590943005","https://openalex.org/W1631445900","https://openalex.org/W1966450732","https://openalex.org/W1966992674","https://openalex.org/W1967829110","https://openalex.org/W1979265210","https://openalex.org/W1982886044","https://openalex.org/W1984714339","https://openalex.org/W1995204734","https://openalex.org/W2007161305","https://openalex.org/W2010160985","https://openalex.org/W2017999133","https://openalex.org/W2021073573","https://openalex.org/W2034380464","https://openalex.org/W2037620744","https://openalex.org/W2043307446","https://openalex.org/W2050409837","https://openalex.org/W2054836895","https://openalex.org/W2064733273","https://openalex.org/W2069297398","https://openalex.org/W2076834085","https://openalex.org/W2088809856","https://openalex.org/W2088925018","https://openalex.org/W2099995889","https://openalex.org/W2120676102","https://openalex.org/W2121565841","https://openalex.org/W2125201600","https://openalex.org/W2140820418","https://openalex.org/W2141770513","https://openalex.org/W2142621163","https://openalex.org/W2146355424","https://openalex.org/W2152609732","https://openalex.org/W2152896489","https://openalex.org/W2160864681","https://openalex.org/W2161972857","https://openalex.org/W2171353752","https://openalex.org/W2226462370","https://openalex.org/W2295099209","https://openalex.org/W2297389119","https://openalex.org/W2408880442","https://openalex.org/W2560261741","https://openalex.org/W2592766892","https://openalex.org/W2607898534","https://openalex.org/W2626218069","https://openalex.org/W2782175744","https://openalex.org/W2798909945","https://openalex.org/W2883257980","https://openalex.org/W2895173314","https://openalex.org/W2908318844","https://openalex.org/W2909844392","https://openalex.org/W2945983375","https://openalex.org/W2952315785","https://openalex.org/W2964210189","https://openalex.org/W3006275387","https://openalex.org/W3013964558","https://openalex.org/W3098594427","https://openalex.org/W3104857419","https://openalex.org/W3106354228","https://openalex.org/W3125489289","https://openalex.org/W3195133498","https://openalex.org/W4231989721","https://openalex.org/W4244554442","https://openalex.org/W4253447838","https://openalex.org/W4285719527","https://openalex.org/W6714454088"],"related_works":["https://openalex.org/W1485223389","https://openalex.org/W2040597492","https://openalex.org/W2013882407","https://openalex.org/W2901843708","https://openalex.org/W1981436518","https://openalex.org/W2057690389","https://openalex.org/W2161099019","https://openalex.org/W4237606985","https://openalex.org/W4287756579","https://openalex.org/W3036905134"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
