{"id":"https://openalex.org/W4416512492","doi":"https://doi.org/10.1007/s40314-026-03790-6","title":"Data-driven implementations of various generalizations of balanced truncation","display_name":"Data-driven implementations of various generalizations of balanced truncation","publication_year":2026,"publication_date":"2026-05-11","ids":{"openalex":"https://openalex.org/W4416512492","doi":"https://doi.org/10.1007/s40314-026-03790-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03790-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03790-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2506.23204","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053244772","display_name":"Umair Zulfiqar","orcid":"https://orcid.org/0000-0003-3933-8837"},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Umair Zulfiqar","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, 434023, Hubei, China","School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, 434023, Hubei, China","institution_ids":["https://openalex.org/I177739611"]},{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, China","institution_ids":["https://openalex.org/I177739611"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Qiu-Yan Song","orcid":"https://orcid.org/0009-0006-4147-5514"},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiu-Yan Song","raw_affiliation_strings":["Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, Hubei, China","Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi, China"],"raw_orcid":"https://orcid.org/0009-0006-4147-5514","affiliations":[{"raw_affiliation_string":"Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, Hubei, China","institution_ids":["https://openalex.org/I4210165606"]},{"raw_affiliation_string":"Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhi-Hua Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi-Hua Xiao","raw_affiliation_strings":["School of Mathematics and Systems Science, Wuhan University of Science and Technology, Wuhan, 430065, Hubei, China","School of Mathematics and Systems Science, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Systems Science, Wuhan University of Science and Technology, Wuhan, 430065, Hubei, China","institution_ids":["https://openalex.org/I43922553"]},{"raw_affiliation_string":"School of Mathematics and Systems Science, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"last","author":{"id":null,"display_name":"Victor Sreeram","orcid":null},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Victor Sreeram","raw_affiliation_strings":["Department of Electrical, Electronic, and Computer Engineering, The University of Western Australia, Perth, Australia","Department of Electrical, Electronic, and Computer Engineering, The University of Western Australia, Perth, Western Australia, 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic, and Computer Engineering, The University of Western Australia, Perth, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"Department of Electrical, Electronic, and Computer Engineering, The University of Western Australia, Perth, Western Australia, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053244772"],"corresponding_institution_ids":["https://openalex.org/I177739611","https://openalex.org/I177877127","https://openalex.org/I4210165606","https://openalex.org/I43922553"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02617801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"9","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":0.8605999946594238,"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":0.8605999946594238,"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/T11236","display_name":"Control Systems and Identification","score":0.01769999973475933,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.008299999870359898,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6942999958992004},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6216999888420105},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5504999756813049},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.42899999022483826},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4194999933242798},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.40619999170303345},{"id":"https://openalex.org/keywords/transfer","display_name":"Transfer (computing)","score":0.40230000019073486}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6942999958992004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6624000072479248},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6216999888420105},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5504999756813049},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5163000226020813},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.39500001072883606},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36340001225471497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3474000096321106},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.3098999857902527},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2953000068664551}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s40314-026-03790-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03790-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2506.23204","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.23204","pdf_url":"https://arxiv.org/pdf/2506.23204","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2506.23204","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2506.23204","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2506.23204","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.23204","pdf_url":"https://arxiv.org/pdf/2506.23204","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1626575137","display_name":null,"funder_award_id":"62273059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G74295514","display_name":null,"funder_award_id":"62350410484","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325298","display_name":"Universit\u00e4t Leipzig","ror":"https://ror.org/03s7gtk40"},{"id":"https://openalex.org/F4320335828","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg","ror":"https://ror.org/030h7k016"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416512492.pdf","grobid_xml":"https://content.openalex.org/works/W4416512492.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}