{"id":"https://openalex.org/W2116574679","doi":"https://doi.org/10.1109/cvpr.2003.1211459","title":"Constrained subspace modeling","display_name":"Constrained subspace modeling","publication_year":2003,"publication_date":"2003-12-22","ids":{"openalex":"https://openalex.org/W2116574679","doi":"https://doi.org/10.1109/cvpr.2003.1211459","mag":"2116574679"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2003.1211459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","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/A5111544700","display_name":"J. Vermaak","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Vermaak","raw_affiliation_strings":["Engineering Department, University of Cambridge, Cambridge, UK","Engineering Department, Cambridge University UK"],"affiliations":[{"raw_affiliation_string":"Engineering Department, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Engineering Department, Cambridge University UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076170578","display_name":"Patrick P\u00e9rez","orcid":"https://orcid.org/0000-0002-8124-1206"},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]},{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"P. Perez","raw_affiliation_strings":["Microsoft Research Limited, Cambridge, UK","Microsoft research#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Limited, Cambridge, UK","institution_ids":["https://openalex.org/I4210164937"]},{"raw_affiliation_string":"Microsoft research#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111544700"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.4569,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74702399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"II","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","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/T10876","display_name":"Fault Detection and Control Systems","score":0.960099995136261,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.954800009727478,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6165485382080078},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5583227276802063},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3186114430427551}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6165485382080078},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5583227276802063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3186114430427551}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cvpr.2003.1211459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W113430924","https://openalex.org/W1568391929","https://openalex.org/W1966264494","https://openalex.org/W2038952578","https://openalex.org/W2049633694","https://openalex.org/W2067807322","https://openalex.org/W2113459360","https://openalex.org/W2125027820","https://openalex.org/W2140151376","https://openalex.org/W2146610201","https://openalex.org/W2163576103","https://openalex.org/W2237250383","https://openalex.org/W2294460823","https://openalex.org/W4239123348","https://openalex.org/W4285719527","https://openalex.org/W6604673855","https://openalex.org/W6696835939"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1980381208","https://openalex.org/W2364594919","https://openalex.org/W2167092671","https://openalex.org/W1861706286","https://openalex.org/W2390279801","https://openalex.org/W2219338811","https://openalex.org/W2149583853","https://openalex.org/W2358668433","https://openalex.org/W2143002539"],"abstract_inverted_index":{"When":[0],"performing":[1],"subspace":[2,118],"modeling":[3,129],"of":[4,26,50,71,76,83],"data":[5,37,73,84],"using":[6,123],"principal":[7,45,100],"component":[8,101],"analysis":[9,102],"(PCA)":[10],"it":[11],"may":[12,59],"be":[13,20,60],"desirable":[14],"to":[15,19,35,62,112],"constrain":[16],"certain":[17],"directions":[18,51],"more":[21],"meaningful":[22],"in":[23,66],"the":[24,27,36,43,48,69,72,77,81,95,114,124],"context":[25],"problem":[28],"being":[29,39],"investigated.":[30],"This":[31,87],"need":[32],"arises":[33],"due":[34],"often":[38],"approximately":[40],"isotropic":[41],"along":[42],"lesser":[44],"components,":[46],"making":[47],"choice":[49],"for":[52],"these":[53],"components":[54],"more-or-less":[55],"arbitrary.":[56],"Furthermore,":[57],"constraining":[58,115],"imperative":[61],"ensure":[63],"viable":[64],"solutions":[65],"problems":[67],"where":[68],"dimensionality":[70],"space":[74],"is":[75,131],"same":[78],"order":[79],"as":[80],"number":[82],"points":[85],"available.":[86],"paper":[88],"adopts":[89],"a":[90,109],"Bayesian":[91],"approach":[92,130],"and":[93,105,141],"augments":[94],"likelihood":[96],"implied":[97],"by":[98],"probabilistic":[99],"(PPCA)":[103],"(Tipping":[104],"Bishop,":[106],"1999)":[107],"with":[108],"prior":[110],"designed":[111],"achieve":[113],"effect.":[116],"The":[117,127],"parameters":[119],"are":[120],"computed":[121],"efficiently":[122],"EM":[125],"algorithm.":[126],"constrained":[128],"illustrated":[132],"on":[133],"two":[134],"pertinent":[135],"problems,":[136],"one":[137,142],"from":[138,143],"speech":[139],"analysis,":[140],"computer":[144],"vision.":[145]},"counts_by_year":[{"year":2023,"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"}
