{"id":"https://openalex.org/W2114709012","doi":"https://doi.org/10.1109/ijcnn.2010.5596786","title":"Incomplete Cholesky decomposition based kernel principal component analysis for large-scale data set","display_name":"Incomplete Cholesky decomposition based kernel principal component analysis for large-scale data set","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2114709012","doi":"https://doi.org/10.1109/ijcnn.2010.5596786","mag":"2114709012"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2010.5596786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","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/A5101620934","display_name":"Weiya Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weiya Shi","raw_affiliation_strings":["The Department Of Computer Science And Engineering, Fudan University, Shanghai, China","School of Information Science and Engineering, HeNan University of Technology, ZhengZhou, China"],"affiliations":[{"raw_affiliation_string":"The Department Of Computer Science And Engineering, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Information Science and Engineering, HeNan University of Technology, ZhengZhou, China","institution_ids":["https://openalex.org/I36152291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363325","display_name":"Youguang Guo","orcid":"https://orcid.org/0000-0001-6182-0684"},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue-Fei Guo","raw_affiliation_strings":["School of Information and Engineering, Henan University of Technology, Zhengzhou, China","[Dept. of Comput. Sci. & Eng., Fudan Univ., Shanghai, China]"],"affiliations":[{"raw_affiliation_string":"School of Information and Engineering, Henan University of Technology, Zhengzhou, China","institution_ids":["https://openalex.org/I36152291"]},{"raw_affiliation_string":"[Dept. of Comput. Sci. & Eng., Fudan Univ., Shanghai, China]","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101620934"],"corresponding_institution_ids":["https://openalex.org/I24943067","https://openalex.org/I36152291"],"apc_list":null,"apc_paid":null,"fwci":0.3187,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62217171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9948999881744385,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9948999881744385,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9249406456947327},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.8826560378074646},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.6379460692405701},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6344336271286011},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.5937537550926208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5682429075241089},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4602483808994293},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.42170441150665283},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.41929659247398376},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4165361225605011},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4154619872570038},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.353967547416687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32407116889953613},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.28685665130615234},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2338196039199829},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.1800352931022644},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.06069454550743103}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9249406456947327},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.8826560378074646},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.6379460692405701},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6344336271286011},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.5937537550926208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5682429075241089},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4602483808994293},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.42170441150665283},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.41929659247398376},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4165361225605011},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4154619872570038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.353967547416687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32407116889953613},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.28685665130615234},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2338196039199829},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.1800352931022644},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.06069454550743103},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2010.5596786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-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/W1510073064","https://openalex.org/W1560724230","https://openalex.org/W1986982173","https://openalex.org/W2099695316","https://openalex.org/W2104287253","https://openalex.org/W2105732805","https://openalex.org/W2112545207","https://openalex.org/W2131329059","https://openalex.org/W2135346934","https://openalex.org/W2140095548","https://openalex.org/W2141681031","https://openalex.org/W2144414190","https://openalex.org/W2154904842","https://openalex.org/W2162457093","https://openalex.org/W2164869055","https://openalex.org/W2169945149","https://openalex.org/W2320663051","https://openalex.org/W2798909945","https://openalex.org/W3144619878","https://openalex.org/W3195149063","https://openalex.org/W4285719527","https://openalex.org/W6676014314","https://openalex.org/W6679986405","https://openalex.org/W6681291431","https://openalex.org/W6683603464","https://openalex.org/W6750968397","https://openalex.org/W7058071925"],"related_works":["https://openalex.org/W2902935039","https://openalex.org/W2039814159","https://openalex.org/W3210095423","https://openalex.org/W2138563672","https://openalex.org/W2403987929","https://openalex.org/W2966537581","https://openalex.org/W2374847384","https://openalex.org/W2784059180","https://openalex.org/W2739538516","https://openalex.org/W2127054029"],"abstract_inverted_index":{"Kernel":[0],"principal":[1,20,49,88],"component":[2],"analysis":[3],"(KPCA)":[4],"is":[5,25,51,57,75,143],"a":[6],"popular":[7],"nonlinear":[8],"feature":[9],"extraction":[10],"method.":[11],"It":[12],"generally":[13],"uses":[14,100],"eigen-decomposition":[15,125],"technique":[16,126],"to":[17],"extract":[18],"the":[19,23,33,54,60,72,78,82,86,95,112,133],"components.":[21],"But":[22],"method":[24,45,99,142],"infeasible":[26],"for":[27,81],"large-scale":[28,135],"data":[29,136],"set":[30],"because":[31],"of":[32,46,71,104,140],"storage":[34,106],"and":[35,108],"computational":[36],"problem.":[37],"To":[38],"overcome":[39],"these":[40],"disadvantages,":[41],"an":[42],"efficient":[43],"iterative":[44],"computing":[47],"kernel":[48,87],"components":[50,89],"proposed.":[52],"First,":[53],"Gram":[55],"matrix":[56,74],"transformed":[58],"into":[59],"two":[61],"triangular":[62,73],"matrices":[63],"using":[64],"incomplete":[65],"Cholesky":[66],"decomposition.":[67],"Then":[68],"each":[69],"column":[70],"treated":[76],"as":[77],"input":[79],"sample":[80],"covariance-free":[83],"algorithm.":[84],"Thus,":[85],"can":[90,119],"be":[91,120,128],"iteratively":[92],"computed":[93],"without":[94],"eigen-decomposition.":[96],"The":[97,138],"proposed":[98,141],"less":[101],"than":[102],"half":[103],"original":[105],"capacity":[107],"also":[109],"greatly":[110],"reduces":[111],"time":[113],"complexity.":[114],"More":[115],"important,":[116],"it":[117],"still":[118],"used":[121],"even":[122],"if":[123],"traditional":[124],"cannot":[127],"applied":[129],"when":[130],"faced":[131],"with":[132],"extremely":[134],"set.":[137],"effectiveness":[139],"validated":[144],"from":[145],"experimental":[146],"results.":[147]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}