{"id":"https://openalex.org/W2272541835","doi":"https://doi.org/10.1137/140978430","title":"A DEIM Induced CUR Factorization","display_name":"A DEIM Induced CUR Factorization","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2272541835","doi":"https://doi.org/10.1137/140978430","mag":"2272541835"},"language":"en","primary_location":{"id":"doi:10.1137/140978430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140978430","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5109866106","display_name":"D. C. Sorensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. C. Sorensen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039472553","display_name":"Mark Embree","orcid":"https://orcid.org/0000-0001-6456-9317"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark Embree","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109866106"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.1857,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.9705425,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"38","issue":"3","first_page":"A1454","last_page":"A1482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/mathematics","display_name":"Mathematics","score":0.8698046207427979},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6454043388366699},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6181883811950684},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.504949152469635},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5026805400848389},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46003612875938416},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.4371325969696045},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4352792501449585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19437962770462036},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1700325310230255}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8698046207427979},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6454043388366699},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6181883811950684},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.504949152469635},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5026805400848389},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46003612875938416},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.4371325969696045},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4352792501449585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19437962770462036},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1700325310230255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/140978430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140978430","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.8971","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.8971","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/1407.5516.pdf","raw_type":"text"},{"id":"pmh:oai:scholarship.rice.edu:1911/102226","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/102226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400220","display_name":"Rice University's digital scholarship archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},{"id":"pmh:oai:scholarship.rice.edu:1911/94281","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/94281","pdf_url":null,"source":{"id":"https://openalex.org/S4306400220","display_name":"Rice University's digital scholarship archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1506690472","https://openalex.org/W1507911753","https://openalex.org/W1552224009","https://openalex.org/W1576347883","https://openalex.org/W1988776183","https://openalex.org/W1998269045","https://openalex.org/W2005498993","https://openalex.org/W2021710646","https://openalex.org/W2038922352","https://openalex.org/W2047591100","https://openalex.org/W2049753327","https://openalex.org/W2050559027","https://openalex.org/W2078465266","https://openalex.org/W2095222360","https://openalex.org/W2110649199","https://openalex.org/W2115780241","https://openalex.org/W2117756735","https://openalex.org/W2119233169","https://openalex.org/W2132582398","https://openalex.org/W2140839682","https://openalex.org/W2141696759","https://openalex.org/W2160941318","https://openalex.org/W2254437089","https://openalex.org/W2399212280","https://openalex.org/W2559450702","https://openalex.org/W3104037750","https://openalex.org/W4206351426"],"related_works":["https://openalex.org/W2002598339","https://openalex.org/W3046517157","https://openalex.org/W2009193081","https://openalex.org/W2114458102","https://openalex.org/W2035885121","https://openalex.org/W2150953077","https://openalex.org/W1993821330","https://openalex.org/W2059421710","https://openalex.org/W2103890637","https://openalex.org/W2064184637"],"abstract_inverted_index":{"We":[0],"derive":[1],"a":[2,16,22,25,70,74,119,136],"CUR":[3,123,189],"approximate":[4,27],"matrix":[5,18],"factorization":[6,23],"based":[7,191],"on":[8,140,192],"the":[9,30,50,88,99,128,131,141,180,184],"discrete":[10],"empirical":[11],"interpolation":[12],"method":[13,186],"(DEIM).":[14],"For":[15,151],"given":[17],"${\\bf":[19,32,42,45,55,58,79,92,95,104,108,111,146,149,155,158,175],"A}$,":[20,56],"such":[21],"provides":[24],"low-rank":[26,75],"decomposition":[28,78],"of":[29,49,54,103,122,143,145,183],"form":[31,107],"A}":[33,80],"\\approx":[34,81],"\\bf":[35,37,39,67,82,84,86],"C":[36],"U":[38,66],"R$,":[40],"where":[41],"C}$":[43,109],"and":[44,52,57,94,101,110,148,157],"R}$":[46],"are":[47],"subsets":[48],"columns":[51,100],"rows":[53,102],"U}$":[59],"is":[60],"constructed":[61],"to":[62,97,118,188],"make":[63],"$\\bf":[64],"C\\bf":[65],"R":[68],"$":[69],"good":[71],"approximation.":[72],"Given":[73],"singular":[76],"value":[77],"V":[83],"S":[85],"W^T$,":[87],"DEIM":[89],"procedure":[90],"uses":[91],"V}$":[93,147,156],"W}$":[96,159],"select":[98],"A}$":[105],"that":[106,127,138,169],"R}$.":[112],"Through":[113],"an":[114,165],"error":[115,134],"analysis":[116],"applicable":[117],"general":[120],"class":[121],"factorizations,":[124],"we":[125],"show":[126],"accuracy":[129],"tracks":[130],"optimal":[132],"approximation":[133],"within":[135],"factor":[137],"depends":[139],"conditioning":[142],"submatrices":[144],"W}$.":[150],"very":[152],"large":[153],"problems,":[154],"can":[160],"be":[161],"approximated":[162],"well":[163],"using":[164],"incremental":[166],"QR":[167],"algorithm":[168],"makes":[170],"only":[171],"one":[172],"pass":[173],"through":[174],"A}$.":[176],"Numerical":[177],"examples":[178],"illustrate":[179],"favorable":[181],"performance":[182],"DEIM-CUR":[185],"compared":[187],"approximations":[190],"leverage":[193],"scores.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
