{"id":"https://openalex.org/W4411551450","doi":"https://doi.org/10.1109/tit.2025.3582247","title":"Theoretical Guarantees for Sparse Principal Component Analysis Based on the Elastic Net","display_name":"Theoretical Guarantees for Sparse Principal Component Analysis Based on the Elastic Net","publication_year":2025,"publication_date":"2025-06-23","ids":{"openalex":"https://openalex.org/W4411551450","doi":"https://doi.org/10.1109/tit.2025.3582247","pmid":"https://pubmed.ncbi.nlm.nih.gov/41377846"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3582247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3582247","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12687910/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101707122","display_name":"Haoyi Yang","orcid":"https://orcid.org/0009-0002-7361-3425"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Haoyi Yang","raw_affiliation_strings":["Department of Statistics, The Pennsylvania State University, University Park, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100372488","display_name":"Teng Zhang","orcid":"https://orcid.org/0000-0001-6438-5091"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Teng Zhang","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089400160","display_name":"Lingzhou Xue","orcid":"https://orcid.org/0000-0002-8252-0637"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lingzhou Xue","raw_affiliation_strings":["Department of Statistics, The Pennsylvania State University, University Park, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101707122"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07808382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"9","first_page":"7149","last_page":"7175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.8478999733924866,"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":0.8478999733924866,"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/T10057","display_name":"Face and Expression Recognition","score":0.8026999831199646,"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"}},{"id":"https://openalex.org/T13832","display_name":"Advanced Decision-Making Techniques","score":0.7947999835014343,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.7905056476593018},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6027591824531555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5488765835762024},{"id":"https://openalex.org/keywords/elastic-net-regularization","display_name":"Elastic net regularization","score":0.5410377979278564},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.4575376510620117},{"id":"https://openalex.org/keywords/sparse-pca","display_name":"Sparse PCA","score":0.4517126679420471},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.43215397000312805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3742954134941101},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3658232092857361},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34322822093963623},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29619184136390686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09021088480949402}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.7905056476593018},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6027591824531555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5488765835762024},{"id":"https://openalex.org/C203868755","wikidata":"https://www.wikidata.org/wiki/Q5353562","display_name":"Elastic net regularization","level":3,"score":0.5410377979278564},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.4575376510620117},{"id":"https://openalex.org/C24252448","wikidata":"https://www.wikidata.org/wiki/Q7573786","display_name":"Sparse PCA","level":3,"score":0.4517126679420471},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.43215397000312805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3742954134941101},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3658232092857361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34322822093963623},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29619184136390686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09021088480949402},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2025.3582247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3582247","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmid:41377846","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41377846","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on information theory","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:12687910","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12687910/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Inf Theory","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:12687910","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12687910/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Inf Theory","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1667837656","display_name":null,"funder_award_id":"1953189, 2210775, 2318926","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8995271036","display_name":null,"funder_award_id":"2007823","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W602904462","https://openalex.org/W1520752838","https://openalex.org/W1560153690","https://openalex.org/W1574877207","https://openalex.org/W1733665134","https://openalex.org/W1975900269","https://openalex.org/W1978494516","https://openalex.org/W1994938797","https://openalex.org/W2005973981","https://openalex.org/W2035076036","https://openalex.org/W2046164006","https://openalex.org/W2057197276","https://openalex.org/W2057535756","https://openalex.org/W2059183447","https://openalex.org/W2066459155","https://openalex.org/W2070777494","https://openalex.org/W2078957532","https://openalex.org/W2094754409","https://openalex.org/W2097417531","https://openalex.org/W2097714737","https://openalex.org/W2098290597","https://openalex.org/W2106084579","https://openalex.org/W2113600901","https://openalex.org/W2122825543","https://openalex.org/W2125295547","https://openalex.org/W2129732816","https://openalex.org/W2615253071","https://openalex.org/W2795757876","https://openalex.org/W2883439616","https://openalex.org/W2964282092","https://openalex.org/W3044876939","https://openalex.org/W3131424090","https://openalex.org/W4211030719","https://openalex.org/W4312258136","https://openalex.org/W6603787252","https://openalex.org/W6675129800","https://openalex.org/W6675607486","https://openalex.org/W6676520490","https://openalex.org/W6680208527","https://openalex.org/W6680611266","https://openalex.org/W6683467194","https://openalex.org/W6777210966","https://openalex.org/W7075750350"],"related_works":["https://openalex.org/W301426590","https://openalex.org/W2913294167","https://openalex.org/W1975900269","https://openalex.org/W2128040385","https://openalex.org/W2735391372","https://openalex.org/W4283792950","https://openalex.org/W3124370832","https://openalex.org/W2124460284","https://openalex.org/W2976999964","https://openalex.org/W3003801099"],"abstract_inverted_index":{"Sparse":[0],"principal":[1,120],"component":[2],"analysis":[3],"(SPCA)":[4],"is":[5],"widely":[6],"used":[7],"for":[8,103],"dimensionality":[9],"reduction":[10],"and":[11,21,65,106],"feature":[12],"extraction":[13],"in":[14,24,81,161],"high-dimensional":[15],"data":[16],"analysis.":[17],"Despite":[18],"many":[19],"methodological":[20],"theoretical":[22,30,55],"developments":[23],"the":[25,29,33,42,60,78,88,95,119,135,143,154],"past":[26],"two":[27],"decades,":[28],"guarantees":[31,96],"of":[32,63,77,91,97,139,158],"popular":[34],"SPCA":[35,61,79],"algorithm":[36,62,80],"proposed":[37],"by":[38],"[1]":[39,64,82],"based":[40],"on":[41],"elastic":[43],"net":[44],"are":[45],"still":[46],"unknown.":[47],"This":[48],"paper":[49],"aims":[50],"to":[51,99,147],"address":[52],"this":[53],"critical":[54],"gap.":[56],"We":[57,69,93,127],"first":[58],"revisit":[59],"present":[66],"our":[67],"implementation.":[68],"also":[70],"study":[71],"a":[72,100,110],"computationally":[73],"more":[74],"efficient":[75],"variant":[76],"that":[83,129],"can":[84,117],"be":[85],"considered":[86],"as":[87],"limiting":[89],"case":[90],"SPCA.":[92],"provide":[94],"convergence":[98],"stationary":[101],"point":[102],"both":[104,115,159],"algorithms":[105,116,160],"prove":[107],"that,":[108],"under":[109,123],"sparse":[111],"spiked":[112],"covariance":[113],"model,":[114],"recover":[118],"subspace":[121],"consistently":[122],"mild":[124],"regularity":[125],"conditions.":[126],"show":[128],"their":[130],"estimation":[131],"error":[132],"bounds":[133,138],"match":[134],"best":[136],"available":[137],"existing":[140],"works":[141],"or":[142],"minimax":[144],"rates":[145],"up":[146],"some":[148],"logarithmic":[149],"factors.":[150],"Moreover,":[151],"we":[152],"demonstrate":[153],"competitive":[155],"numerical":[156,162],"performance":[157],"experiments.":[163]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
