{"id":"https://openalex.org/W3217261460","doi":"https://doi.org/10.1007/s10915-022-01798-8","title":"Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference","display_name":"Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference","publication_year":2022,"publication_date":"2022-03-11","ids":{"openalex":"https://openalex.org/W3217261460","doi":"https://doi.org/10.1007/s10915-022-01798-8","mag":"3217261460"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01798-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01798-8","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5059159562","display_name":"Elizabeth Qian","orcid":"https://orcid.org/0000-0001-6713-3746"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elizabeth Qian","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6713-3746","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020668495","display_name":"Jemima M. Tabeart","orcid":"https://orcid.org/0000-0001-6806-8608"},"institutions":[{"id":"https://openalex.org/I4210117017","display_name":"Maxwell Institute for Mathematical Sciences","ror":"https://ror.org/02tsqtg57","country_code":"GB","type":"facility","lineage":["https://openalex.org/I32062511","https://openalex.org/I4210117017","https://openalex.org/I98677209"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jemima M. Tabeart","raw_affiliation_strings":["School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, UK"],"raw_orcid":"https://orcid.org/0000-0001-6806-8608","affiliations":[{"raw_affiliation_string":"School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I4210117017","https://openalex.org/I98677209"]}]},{"author_position":"middle","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":["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":"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":"middle","author":{"id":"https://openalex.org/A5043522608","display_name":"Jiahua Jiang","orcid":"https://orcid.org/0000-0002-4000-8846"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jiahua Jiang","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Birmingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009642764","display_name":"Peter R. Kramer","orcid":"https://orcid.org/0000-0003-4867-5835"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter R. Kramer","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY, USA"],"raw_orcid":"https://orcid.org/0000-0003-4867-5835","affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053971798","display_name":"Akil Narayan","orcid":"https://orcid.org/0000-0002-5914-4207"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Akil Narayan","raw_affiliation_strings":["University of Utah, Salt Lake City, UT, USA"],"raw_orcid":"https://orcid.org/0000-0002-5914-4207","affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5053971798"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8755,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71082474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"91","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9965000152587891,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/observability","display_name":"Observability","score":0.701740026473999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6756224632263184},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.6053762435913086},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5736494660377502},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5675495266914368},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5461848378181458},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4959131181240082},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48569902777671814},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4757801592350006},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.370570570230484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3430882692337036},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15458199381828308},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07737040519714355}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.701740026473999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6756224632263184},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.6053762435913086},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5736494660377502},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5675495266914368},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5461848378181458},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4959131181240082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48569902777671814},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4757801592350006},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.370570570230484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3430882692337036},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15458199381828308},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07737040519714355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-022-01798-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01798-8","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:114466","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20220426-43806400","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/cd4132ef-6cc3-4cdc-882b-c3ef1cd3dffb","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/cd4132ef-6cc3-4cdc-882b-c3ef1cd3dffb","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Qian, E, Tabeart, J M, Beattie, C, Gugercin, S, Jiang, J, Kramer, P R & Narayan, A 2022, 'Model reduction of linear dynamical systems via balancing for Bayesian inference', Journal of Scientific Computing, vol. 91, no. 1, 29 . https://doi.org/10.1007/s10915-022-01798-8","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/cd4132ef-6cc3-4cdc-882b-c3ef1cd3dffb","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85126254282&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Qian , E , Tabeart , J M , Beattie , C , Gugercin , S , Jiang , J , Kramer , P R & Narayan , A 2022 , ' Model reduction of linear dynamical systems via balancing for Bayesian inference ' , Journal of Scientific Computing , vol. 91 , no. 1 , 29 . https://doi.org/10.1007/s10915-022-01798-8","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1786514303","display_name":null,"funder_award_id":"DMS-1439786","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4199864501","display_name":null,"funder_award_id":"DMS-1848508","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6182847705","display_name":null,"funder_award_id":"50736","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G7043342943","display_name":"Modern Linear Algebra for PDE-Constrained Optimisation Models for Huge-Scale Data Analysis","funder_award_id":"EP/S027785/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7226089978","display_name":null,"funder_award_id":"EP/S027785/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"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/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308782","display_name":"Hertz Foundation","ror":"https://ror.org/01ycgxf29"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"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":68,"referenced_works":["https://openalex.org/W230980609","https://openalex.org/W319968770","https://openalex.org/W572586305","https://openalex.org/W585133165","https://openalex.org/W1512208174","https://openalex.org/W1521088512","https://openalex.org/W1522319528","https://openalex.org/W1528685560","https://openalex.org/W1551480811","https://openalex.org/W1564223560","https://openalex.org/W1573860137","https://openalex.org/W1592510033","https://openalex.org/W1596195796","https://openalex.org/W1969626918","https://openalex.org/W1974321474","https://openalex.org/W1999748421","https://openalex.org/W2002544983","https://openalex.org/W2005577322","https://openalex.org/W2023356830","https://openalex.org/W2049715281","https://openalex.org/W2059316647","https://openalex.org/W2062017072","https://openalex.org/W2064733273","https://openalex.org/W2075917055","https://openalex.org/W2088872157","https://openalex.org/W2090292347","https://openalex.org/W2098077093","https://openalex.org/W2114123964","https://openalex.org/W2125201600","https://openalex.org/W2129728672","https://openalex.org/W2132873049","https://openalex.org/W2133027741","https://openalex.org/W2139791975","https://openalex.org/W2149498546","https://openalex.org/W2152896489","https://openalex.org/W2153490485","https://openalex.org/W2161442523","https://openalex.org/W2169328438","https://openalex.org/W2169410692","https://openalex.org/W2290721388","https://openalex.org/W2341063432","https://openalex.org/W2410411432","https://openalex.org/W2462634212","https://openalex.org/W2480611454","https://openalex.org/W2555226553","https://openalex.org/W2610527164","https://openalex.org/W2809843622","https://openalex.org/W2895559316","https://openalex.org/W2913391603","https://openalex.org/W2922417639","https://openalex.org/W2963964397","https://openalex.org/W3001336047","https://openalex.org/W3003508954","https://openalex.org/W3006275387","https://openalex.org/W3033803740","https://openalex.org/W3034257834","https://openalex.org/W3105590461","https://openalex.org/W3105604858","https://openalex.org/W3124270792","https://openalex.org/W3138810067","https://openalex.org/W4206263661","https://openalex.org/W4231204432","https://openalex.org/W4238862172","https://openalex.org/W4242259929","https://openalex.org/W4247915326","https://openalex.org/W4255383054","https://openalex.org/W6629346464","https://openalex.org/W6632878122"],"related_works":["https://openalex.org/W176642733","https://openalex.org/W2735450251","https://openalex.org/W2577309101","https://openalex.org/W2128617825","https://openalex.org/W1988913627","https://openalex.org/W2133763599","https://openalex.org/W2205194505","https://openalex.org/W1541871911","https://openalex.org/W2050811761","https://openalex.org/W2119813522"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}