{"id":"https://openalex.org/W3197686036","doi":"https://doi.org/10.1109/tcyb.2021.3106485","title":"Multiview PCA: A Methodology of Feature Extraction and Dimension Reduction for High-Order Data","display_name":"Multiview PCA: A Methodology of Feature Extraction and Dimension Reduction for High-Order Data","publication_year":2021,"publication_date":"2021-09-01","ids":{"openalex":"https://openalex.org/W3197686036","doi":"https://doi.org/10.1109/tcyb.2021.3106485","mag":"3197686036","pmid":"https://pubmed.ncbi.nlm.nih.gov/34469326"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3106485","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"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/A5103076401","display_name":"Zhiming Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiming Xia","raw_affiliation_strings":["Institute for Information and System Science, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Institute for Information and System Science, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100350398","display_name":"Yang Chen","orcid":"https://orcid.org/0000-0002-1089-0268"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Chen","raw_affiliation_strings":["Institute for Information and System Science, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Institute for Information and System Science, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100647357","display_name":"Chen Xu","orcid":"https://orcid.org/0000-0002-3113-4357"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chen Xu","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.563,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.671548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"52","issue":"10","first_page":"11068","last_page":"11080"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9956,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9917,"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/feature","display_name":"Feature (linguistics)","score":0.4192174}],"concepts":[{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.62123865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5735524},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.55678225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.54178673},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.524799},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.52043515},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.45974404},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4192174},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3573139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29973376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2878517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1849119},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":"","qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D025341","descriptor_name":"Principal Component Analysis","qualifier_ui":"","qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3106485","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34469326","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":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11690014"},{"funder":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada","award_id":"RGPIN-2016-05024"}],"datasets":[],"versions":[],"referenced_works_count":34,"referenced_works":["https://openalex.org/W1513013675","https://openalex.org/W1534408902","https://openalex.org/W1578121530","https://openalex.org/W1963826206","https://openalex.org/W1975900269","https://openalex.org/W1986326495","https://openalex.org/W1991042426","https://openalex.org/W2005070869","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2030270830","https://openalex.org/W2035399158","https://openalex.org/W2052570068","https://openalex.org/W2060300932","https://openalex.org/W2097308346","https://openalex.org/W2102544846","https://openalex.org/W2113055885","https://openalex.org/W2121647436","https://openalex.org/W2141200867","https://openalex.org/W2145962650","https://openalex.org/W2152758153","https://openalex.org/W2170946361","https://openalex.org/W2556973596","https://openalex.org/W2611015177","https://openalex.org/W2615253071","https://openalex.org/W2794268568","https://openalex.org/W2883289611","https://openalex.org/W2905279478","https://openalex.org/W2906292800","https://openalex.org/W3049487529","https://openalex.org/W4213251304","https://openalex.org/W4223648587","https://openalex.org/W4237723258","https://openalex.org/W47313091"],"related_works":["https://openalex.org/W4389669152","https://openalex.org/W4387893611","https://openalex.org/W4250857377","https://openalex.org/W2579148721","https://openalex.org/W2347335694","https://openalex.org/W2091056927","https://openalex.org/W2067407580","https://openalex.org/W2038514069","https://openalex.org/W2009181529","https://openalex.org/W1967233468"],"abstract_inverted_index":{"Facing":[0],"with":[1],"rapidly":[2],"increasing":[3],"demands":[4],"for":[5,16,229],"analyzing":[6],"high-order":[7],"data":[8,31,51],"or":[9,53],"multiway":[10],"data,":[11,39,258],"feature-extracting":[12,22],"methods":[13],"become":[14],"imperative":[15],"analysis":[17,87],"and":[18,32,43,66,78,104,125,156,168,187,197,199,201,214,225,247,261,272],"processing.":[19],"The":[20,234],"traditional":[21],"methods,":[23,45],"however,":[24],"either":[25],"need":[26],"to":[27,49,152,209,253],"overly":[28],"vectorize":[29],"the":[30,34,50,56,83,117,136,173,185,195,204,210,215,230,269],"smash":[33],"original":[35],"structure":[36],"hidden":[37],"in":[38,89,122,180,239],"such":[40,61],"as":[41,62,203],"PCA":[42,196],"PCA-like":[44],"which":[46,183,207],"is":[47,236],"unfavorable":[48],"recovery,":[52],"cannot":[54],"eliminate":[55],"redundant":[57],"information":[58],"very":[59],"well,":[60],"tucker":[63],"decomposition":[64],"(TD)":[65],"TD-like":[67,202],"methods.":[68],"To":[69],"overcome":[70],"these":[71,112],"limitations,":[72],"we":[73],"propose":[74,221],"a":[75,94,123,254],"more":[76,79],"flexible":[77,126],"powerful":[80],"tool,":[81],"called":[82,100],"multiview":[84],"principal":[85,120],"components":[86,121],"(Multiview-PCA)":[88],"this":[90],"article.":[91],"By":[92],"segmenting":[93],"random":[95],"tensor":[96,154],"into":[97],"equal-sized":[98],"subarrays":[99],"sections":[103,115],"maximizing":[105],"variations":[106],"caused":[107],"by":[108,163],"orthogonal":[109],"projections":[110],"of":[111,232,241,256,274],",":[116,149,172],"Multiview-PCA":[118,174,193,235],"finds":[119],"parsimonious":[124],"way.":[127],"In":[128],"so":[129],"doing,":[130],"two":[131],"new":[132],"operations":[133],"on":[134],"tensors,":[135],"":[139],"$S$":[141],"":[142],"-":[143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">direction":[146],"inner/outer":[147],"product":[148],"are":[150],"introduced":[151],"formulate":[153],"projection":[155],"recovery.":[157],"With":[158],"different":[159,181],"segmentation":[160],"ways":[161],"characterized":[162],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">section":[166],"depth":[167],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">direction":[171],"can":[175],"be":[176],"implemented":[177],"many":[178],"times":[179],"ways,":[182],"defines":[184],"sequential":[186],"global":[188],"Multiview-PCA,":[189],"respectively.":[190,219],"These":[191],"multiple":[192],"take":[194],"PCA-like,":[198],"TD":[200],"special":[205],"cases,":[206],"correspond":[208],"deepest":[211],"section":[212,217],"depth":[213,224],"shallowest":[216],"depth,":[218],"We":[220],"an":[222],"adaptive":[223],"direction":[226],"selection":[227],"algorithm":[228],"implementation":[231],"Multiview-PCA.":[233,275],"then":[237],"tested":[238],"terms":[240],"subspace":[242],"recovery":[243],"ability,":[244,246],"compression":[245],"feature":[248],"extraction":[249],"performance":[250],"when":[251],"applied":[252],"set":[255],"artificial":[257],"surveillance":[259],"videos,":[260],"hyperspectral":[262],"imaging":[263],"data.":[264],"All":[265],"numerical":[266],"results":[267],"support":[268],"flexibility,":[270],"effectiveness,":[271],"usefulness":[273]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3197686036","counts_by_year":[{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":8}],"updated_date":"2024-12-16T08:41:12.336448","created_date":"2021-09-13"}