{"id":"https://openalex.org/W1530505885","doi":"https://doi.org/10.1109/acc.2015.7170886","title":"A randomized proper orthogonal decomposition technique","display_name":"A randomized proper orthogonal decomposition technique","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1530505885","doi":"https://doi.org/10.1109/acc.2015.7170886","mag":"1530505885"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5101834989","display_name":"Dan Yu","orcid":"https://orcid.org/0000-0002-2656-4731"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan Yu","raw_affiliation_strings":["Texas A&M University, College Station, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M University, College Station, United States","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061286389","display_name":"Suman Chakravorty","orcid":"https://orcid.org/0000-0003-3074-3406"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suman Chakravorty","raw_affiliation_strings":["Texas A&M University, College Station, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M University, College Station, United States","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101834989"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":1.1911,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.7786663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1137","last_page":"1142"},"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":0.9993000030517578,"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":0.9909999966621399,"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/hankel-matrix","display_name":"Hankel matrix","score":0.741083025932312},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6121407747268677},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5320239067077637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5130311250686646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096850395202637},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.49724462628364563},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.49003732204437256},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48645779490470886},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48148787021636963},{"id":"https://openalex.org/keywords/orthogonal-matrix","display_name":"Orthogonal matrix","score":0.46700844168663025},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4512448012828827},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4507260322570801},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.4342733919620514},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.43208587169647217},{"id":"https://openalex.org/keywords/proper-orthogonal-decomposition","display_name":"Proper orthogonal decomposition","score":0.41087794303894043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4099138379096985},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4016685485839844},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.22463399171829224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1697346270084381},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.13553985953330994},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11972999572753906},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0807129442691803},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07988449931144714},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07688987255096436}],"concepts":[{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.741083025932312},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6121407747268677},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5320239067077637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5130311250686646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096850395202637},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.49724462628364563},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.49003732204437256},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48645779490470886},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48148787021636963},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.46700844168663025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4512448012828827},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4507260322570801},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.4342733919620514},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.43208587169647217},{"id":"https://openalex.org/C2984998066","wikidata":"https://www.wikidata.org/wiki/Q105037988","display_name":"Proper orthogonal decomposition","level":3,"score":0.41087794303894043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4099138379096985},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4016685485839844},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.22463399171829224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1697346270084381},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.13553985953330994},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11972999572753906},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0807129442691803},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07988449931144714},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07688987255096436},{"id":"https://openalex.org/C137776501","wikidata":"https://www.wikidata.org/wiki/Q7208270","display_name":"Point of delivery","level":2,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2015.7170886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.6308","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.6308","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1312.3976.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W121875236","https://openalex.org/W135863185","https://openalex.org/W1575147392","https://openalex.org/W1970576574","https://openalex.org/W1987656566","https://openalex.org/W1999352252","https://openalex.org/W2014356541","https://openalex.org/W2059316647","https://openalex.org/W2064733273","https://openalex.org/W2069037813","https://openalex.org/W2098077093","https://openalex.org/W2104371886","https://openalex.org/W2112823474","https://openalex.org/W2117756735","https://openalex.org/W2151549067","https://openalex.org/W2167412190","https://openalex.org/W2170110056","https://openalex.org/W2180359187","https://openalex.org/W2225589830","https://openalex.org/W3099874806"],"related_works":["https://openalex.org/W4390355884","https://openalex.org/W4302344890","https://openalex.org/W3102707439","https://openalex.org/W2791556766","https://openalex.org/W3094319713","https://openalex.org/W1481491353","https://openalex.org/W1989747561","https://openalex.org/W4210797834","https://openalex.org/W2139376449","https://openalex.org/W2946429524"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,19,34,44,47,58,66,81,92,98,103],"problem":[6],"of":[7,10,21,43,46,72,97,102],"model":[8],"reduction":[9],"large":[11],"scale":[12],"systems,":[13],"such":[14,79],"as":[15,80],"those":[16],"obtained":[17],"through":[18],"discretization":[20],"PDEs.":[22],"We":[23],"propose":[24],"a":[25,41,51,111],"randomized":[26],"proper":[27,86],"orthogonal":[28,87],"decomposition":[29,88],"(RPOD)":[30],"technique":[31,68],"to":[32,49,77],"obtain":[33],"reduced":[35],"order":[36],"models":[37],"by":[38],"randomly":[39],"choosing":[40],"subset":[42],"inputs/outputs":[45],"system":[48],"construct":[50],"suitable":[52],"small":[53],"sized":[54],"Hankel":[55,60],"matrix":[56],"from":[57],"full":[59],"matrix.":[61],"It":[62],"is":[63,69,108],"shown":[64],"that":[65],"RPOD":[67],"computationally":[70],"orders":[71],"magnitude":[73],"cheaper":[74],"when":[75],"compared":[76],"techniques":[78],"Eigensystem":[82],"Realization":[83],"Algorithm":[84],"(ERA)/Balanced":[85],"(BPOD)":[89],"while":[90],"obtaining":[91],"same":[93],"information":[94],"in":[95],"terms":[96],"number":[99],"and":[100],"accuracy":[101],"dominant":[104],"modes.":[105],"The":[106],"method":[107],"tested":[109],"on":[110],"linearized":[112],"channel":[113],"flow":[114],"problem.":[115]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}