{"id":"https://openalex.org/W2907253246","doi":"https://doi.org/10.1007/s12532-018-0153-6","title":"Certifiably optimal sparse principal component analysis","display_name":"Certifiably optimal sparse principal component analysis","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2907253246","doi":"https://doi.org/10.1007/s12532-018-0153-6","mag":"2907253246"},"language":"en","primary_location":{"id":"doi:10.1007/s12532-018-0153-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0153-6","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/1721.1/131566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018384662","display_name":"Lauren Berk","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lauren Berk","raw_affiliation_strings":["Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA"],"affiliations":[{"raw_affiliation_string":"Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025940525","display_name":"Dimitris Bertsimas","orcid":"https://orcid.org/0000-0002-1985-1003"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitris Bertsimas","raw_affiliation_strings":["Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA"],"affiliations":[{"raw_affiliation_string":"Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018384662"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":2390,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":2.5217,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.88805896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"11","issue":"3","first_page":"381","last_page":"420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/principal-component-analysis","display_name":"Principal component analysis","score":0.761188268661499},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.656512439250946},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.546176552772522},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5440465807914734},{"id":"https://openalex.org/keywords/sparse-pca","display_name":"Sparse PCA","score":0.5384533405303955},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5212767124176025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5146149396896362},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4726628065109253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4574117362499237},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.45036858320236206},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.43482595682144165},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.4335263669490814},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.35979747772216797},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15202325582504272},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14131265878677368},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1146252453327179}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.761188268661499},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.656512439250946},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.546176552772522},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5440465807914734},{"id":"https://openalex.org/C24252448","wikidata":"https://www.wikidata.org/wiki/Q7573786","display_name":"Sparse PCA","level":3,"score":0.5384533405303955},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5212767124176025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5146149396896362},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4726628065109253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4574117362499237},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.45036858320236206},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.43482595682144165},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.4335263669490814},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.35979747772216797},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15202325582504272},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14131265878677368},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1146252453327179},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s12532-018-0153-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0153-6","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","raw_type":"journal-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/131566","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/131566","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Springer Berlin Heidelberg","raw_type":"http://purl.org/eprint/type/JournalArticle"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/131566","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/131566","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Springer Berlin Heidelberg","raw_type":"http://purl.org/eprint/type/JournalArticle"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W123428152","https://openalex.org/W184430818","https://openalex.org/W341626899","https://openalex.org/W1512098439","https://openalex.org/W1523985187","https://openalex.org/W1569098853","https://openalex.org/W1918816242","https://openalex.org/W1961876782","https://openalex.org/W1975900269","https://openalex.org/W1978494516","https://openalex.org/W1982052391","https://openalex.org/W1988845780","https://openalex.org/W1993391362","https://openalex.org/W1997320786","https://openalex.org/W1998409929","https://openalex.org/W2008505918","https://openalex.org/W2008929650","https://openalex.org/W2012769612","https://openalex.org/W2013737143","https://openalex.org/W2019176983","https://openalex.org/W2021808337","https://openalex.org/W2025341678","https://openalex.org/W2037651963","https://openalex.org/W2077278144","https://openalex.org/W2091364465","https://openalex.org/W2097417531","https://openalex.org/W2098290597","https://openalex.org/W2099242680","https://openalex.org/W2103632971","https://openalex.org/W2109675189","https://openalex.org/W2113600901","https://openalex.org/W2123131881","https://openalex.org/W2127553405","https://openalex.org/W2131241448","https://openalex.org/W2135046866","https://openalex.org/W2137404238","https://openalex.org/W2143524933","https://openalex.org/W2144629557","https://openalex.org/W2145962650","https://openalex.org/W2151802193","https://openalex.org/W2157752701","https://openalex.org/W2158548804","https://openalex.org/W2159857890","https://openalex.org/W2162328283","https://openalex.org/W2164092299","https://openalex.org/W2164933608","https://openalex.org/W2170905826","https://openalex.org/W2174029734","https://openalex.org/W2199135087","https://openalex.org/W2311812978","https://openalex.org/W2337119602","https://openalex.org/W2588845097","https://openalex.org/W2604736517","https://openalex.org/W2614891641","https://openalex.org/W2615253071","https://openalex.org/W2897637577","https://openalex.org/W2951088422","https://openalex.org/W2962763638","https://openalex.org/W2963258773","https://openalex.org/W2963301123","https://openalex.org/W2963351303","https://openalex.org/W2963627201","https://openalex.org/W2963772730","https://openalex.org/W3022136271","https://openalex.org/W3099514962","https://openalex.org/W3105558219","https://openalex.org/W3105790468","https://openalex.org/W3120740533","https://openalex.org/W3123062862","https://openalex.org/W3123841035","https://openalex.org/W4230653117","https://openalex.org/W4237723258","https://openalex.org/W4240374930","https://openalex.org/W4292023222","https://openalex.org/W6601558329","https://openalex.org/W6606666643"],"related_works":["https://openalex.org/W2788769272","https://openalex.org/W4298392988","https://openalex.org/W2232685869","https://openalex.org/W2949527996","https://openalex.org/W2891166804","https://openalex.org/W2134327945","https://openalex.org/W2088841826","https://openalex.org/W3212016004","https://openalex.org/W2385707990","https://openalex.org/W2005724922"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}