{"id":"https://openalex.org/W4226076227","doi":"https://doi.org/10.1145/3514221.3526144","title":"Givens QR Decomposition over Relational Databases","display_name":"Givens QR Decomposition over Relational Databases","publication_year":2022,"publication_date":"2022-06-10","ids":{"openalex":"https://openalex.org/W4226076227","doi":"https://doi.org/10.1145/3514221.3526144"},"language":"en","primary_location":{"id":"doi:10.1145/3514221.3526144","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3514221.3526144","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3514221.3526144","source":{"id":"https://openalex.org/S4363608845","display_name":"Proceedings of the 2022 International Conference on Management of Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Conference on Management of Data","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3514221.3526144","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035180920","display_name":"Dan Olteanu","orcid":"https://orcid.org/0000-0002-4682-7068"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Dan Olteanu","raw_affiliation_strings":["University of Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084799539","display_name":"Nils Vortmeier","orcid":null},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Nils Vortmeier","raw_affiliation_strings":["University of Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071625273","display_name":"\u0110or\u0111e \u017divanovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"\u0110or\u0111e Zivanovi\u0107","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035180920"],"corresponding_institution_ids":["https://openalex.org/I202697423"],"apc_list":null,"apc_paid":null,"fwci":0.3131,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.48558559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1948","last_page":"1961"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9926000237464905,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9926000237464905,"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"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9815999865531921,"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"}},{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/qr-decomposition","display_name":"QR decomposition","score":0.7808277010917664},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.7746223211288452},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.5599114894866943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5425522923469543},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.5353164672851562},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.526461660861969},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4920801520347595},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4914597272872925},{"id":"https://openalex.org/keywords/schur-decomposition","display_name":"Schur decomposition","score":0.46306127309799194},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.4526779353618622},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.431057870388031},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4289436340332031},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41432249546051025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36221054196357727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35815703868865967},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3263248801231384},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.2712820768356323},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13985061645507812},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.10524874925613403},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.08028468489646912}],"concepts":[{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.7808277010917664},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.7746223211288452},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.5599114894866943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5425522923469543},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.5353164672851562},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.526461660861969},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4920801520347595},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4914597272872925},{"id":"https://openalex.org/C99383703","wikidata":"https://www.wikidata.org/wiki/Q1064218","display_name":"Schur decomposition","level":4,"score":0.46306127309799194},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.4526779353618622},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.431057870388031},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4289436340332031},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41432249546051025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36221054196357727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35815703868865967},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3263248801231384},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.2712820768356323},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13985061645507812},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.10524874925613403},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.08028468489646912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3514221.3526144","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3514221.3526144","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3514221.3526144","source":{"id":"https://openalex.org/S4363608845","display_name":"Proceedings of the 2022 International Conference on Management of Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Conference on Management of Data","raw_type":"proceedings-article"},{"id":"pmh:doi:10.5167/uzh-255539","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"}],"best_oa_location":{"id":"doi:10.1145/3514221.3526144","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3514221.3526144","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3514221.3526144","source":{"id":"https://openalex.org/S4363608845","display_name":"Proceedings of the 2022 International Conference on Management of Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Conference on Management of Data","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2217633705","display_name":null,"funder_award_id":"682588","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5036817778","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innov","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5399556803","display_name":null,"funder_award_id":"This project has received funding from the Europea","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8633428685","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innovat","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8695168199","display_name":null,"funder_award_id":"682588","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4226076227.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W89381752","https://openalex.org/W1971662204","https://openalex.org/W1995746640","https://openalex.org/W1995854415","https://openalex.org/W2024860760","https://openalex.org/W2036050714","https://openalex.org/W2042696716","https://openalex.org/W2061771449","https://openalex.org/W2069232849","https://openalex.org/W2092590148","https://openalex.org/W2114830626","https://openalex.org/W2120575449","https://openalex.org/W2216541755","https://openalex.org/W2284514301","https://openalex.org/W2323980249","https://openalex.org/W2395323716","https://openalex.org/W2502658919","https://openalex.org/W2536131596","https://openalex.org/W2563724055","https://openalex.org/W2604255113","https://openalex.org/W2941733496","https://openalex.org/W2963560792","https://openalex.org/W3022909171","https://openalex.org/W3038576231","https://openalex.org/W3044177535","https://openalex.org/W3084542178","https://openalex.org/W3165312848","https://openalex.org/W3173326111"],"related_works":["https://openalex.org/W2078349096","https://openalex.org/W1538524278","https://openalex.org/W2002598339","https://openalex.org/W2497509609","https://openalex.org/W2079130430","https://openalex.org/W1599936522","https://openalex.org/W3009839343","https://openalex.org/W2129037711","https://openalex.org/W2006707200","https://openalex.org/W2150953077"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"Figaro,":[3],"an":[4],"algorithm":[5],"for":[6],"computing":[7],"the":[8,12,16,20,32,45,48,51,58],"upper-triangular":[9],"matrix":[10,17,46],"in":[11],"QR":[13,28],"decomposition":[14,29],"of":[15,34],"defined":[18],"by":[19],"natural":[21],"join":[22],"over":[23],"a":[24],"relational":[25],"database.":[26],"The":[27],"lies":[30],"at":[31],"core":[33],"many":[35],"linear":[36],"algebra":[37],"techniques":[38],"and":[39,57],"their":[40],"machine":[41],"learning":[42],"applications,":[43],"including:":[44],"inverse;":[47],"least":[49],"squares;":[50],"singular":[52],"value":[53],"decomposition;":[54],"eigenvalue":[55],"problems;":[56],"principal":[59],"component":[60],"analysis.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}