{"id":"https://openalex.org/W2295448223","doi":"https://doi.org/10.1109/tcsvt.2014.2329375","title":"Submanifold Decomposition","display_name":"Submanifold Decomposition","publication_year":2014,"publication_date":"2014-06-05","ids":{"openalex":"https://openalex.org/W2295448223","doi":"https://doi.org/10.1109/tcsvt.2014.2329375","mag":"2295448223"},"language":"en","primary_location":{"id":"doi:10.1109/tcsvt.2014.2329375","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2014.2329375","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-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/A5102884708","display_name":"Ya Su","orcid":"https://orcid.org/0000-0001-9136-6726"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ya Su","raw_affiliation_strings":["School of Computer and Communication Engineering, University of Science and Technology Beijing, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, University of Science and Technology Beijing, Beijing, China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100359839","display_name":"Sheng Li","orcid":"https://orcid.org/0000-0003-1205-8632"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sheng Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030965866","display_name":"Shengjin Wang","orcid":"https://orcid.org/0000-0001-7809-1932"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengjin Wang","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005379781","display_name":"Yun Fu","orcid":"https://orcid.org/0009-0004-4403-1949"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yun Fu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102884708"],"corresponding_institution_ids":["https://openalex.org/I92403157"],"apc_list":null,"apc_paid":null,"fwci":1.951,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89626324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"11","first_page":"1885","last_page":"1897"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9817000031471252,"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":0.9817000031471252,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9800000190734863,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.977400004863739,"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/submanifold","display_name":"Submanifold","score":0.924213171005249},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.7176274061203003},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.6084097623825073},{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.5807498693466187},{"id":"https://openalex.org/keywords/manifold-alignment","display_name":"Manifold alignment","score":0.5270070433616638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5160109996795654},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4703783094882965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4610987901687622},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.44989484548568726},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.419286847114563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3261098265647888},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.2251301407814026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.140701025724411}],"concepts":[{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.924213171005249},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.7176274061203003},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.6084097623825073},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.5807498693466187},{"id":"https://openalex.org/C153120616","wikidata":"https://www.wikidata.org/wiki/Q17068315","display_name":"Manifold alignment","level":4,"score":0.5270070433616638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5160109996795654},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4703783094882965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4610987901687622},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.44989484548568726},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.419286847114563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3261098265647888},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.2251301407814026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.140701025724411},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsvt.2014.2329375","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2014.2329375","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1356488496","display_name":null,"funder_award_id":"N00014-12-1-1028","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3664517593","display_name":null,"funder_award_id":"W911NF-13-1-0160","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7145671668","display_name":null,"funder_award_id":"61305009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W339322939","https://openalex.org/W1506622324","https://openalex.org/W1562553690","https://openalex.org/W1628172068","https://openalex.org/W1821148229","https://openalex.org/W1974167603","https://openalex.org/W1982000202","https://openalex.org/W1984316102","https://openalex.org/W2001141328","https://openalex.org/W2001619934","https://openalex.org/W2006793117","https://openalex.org/W2016787531","https://openalex.org/W2041785029","https://openalex.org/W2050098151","https://openalex.org/W2053186076","https://openalex.org/W2057832152","https://openalex.org/W2065819987","https://openalex.org/W2074507026","https://openalex.org/W2077776048","https://openalex.org/W2090929963","https://openalex.org/W2097308346","https://openalex.org/W2097341236","https://openalex.org/W2103250033","https://openalex.org/W2107550644","https://openalex.org/W2109910686","https://openalex.org/W2111427896","https://openalex.org/W2118527389","https://openalex.org/W2121647436","https://openalex.org/W2123111020","https://openalex.org/W2127409454","https://openalex.org/W2131335073","https://openalex.org/W2131691213","https://openalex.org/W2134213389","https://openalex.org/W2138451337","https://openalex.org/W2145808141","https://openalex.org/W2148043509","https://openalex.org/W2153293376","https://openalex.org/W2153934661","https://openalex.org/W2154872931","https://openalex.org/W2156718197","https://openalex.org/W2160054422","https://openalex.org/W2164040150","https://openalex.org/W2170653751","https://openalex.org/W2295448223","https://openalex.org/W3148981562","https://openalex.org/W4256035763","https://openalex.org/W4292023222","https://openalex.org/W6611574793","https://openalex.org/W6630218264","https://openalex.org/W6636858592","https://openalex.org/W6675955514","https://openalex.org/W6679591791","https://openalex.org/W6682644385","https://openalex.org/W6682691380","https://openalex.org/W6682755970","https://openalex.org/W6683047094","https://openalex.org/W6696978490","https://openalex.org/W7034449035"],"related_works":["https://openalex.org/W2267056829","https://openalex.org/W2120453412","https://openalex.org/W3043659658","https://openalex.org/W1805964776","https://openalex.org/W2804842029","https://openalex.org/W2585034891","https://openalex.org/W2149766789","https://openalex.org/W2384281277","https://openalex.org/W1538857411","https://openalex.org/W155079911"],"abstract_inverted_index":{"Low-dimensional":[0],"structures":[1],"embedded":[2],"in":[3,54,119,125,218],"high-dimensional":[4,57,92],"data":[5,203,206],"space":[6],"can":[7,60,189],"be":[8,61],"extracted":[9,187],"by":[10,97],"spectral":[11],"analysis":[12],"and":[13,123,169,182,204],"manifold":[14,19,105,157,215],"learning.":[15],"Standard":[16],"approaches":[17],"to":[18,89,111,127,145,193],"learning":[20,158,216],"are":[21,37,173],"usually":[22],"based":[23],"on":[24,200],"the":[25,45,55,91,129,155,166,185,195,209,213],"assumption":[26],"that":[27,47,152,160,208],"there":[28],"is":[29,71,87,95,109,140,143],"a":[30,48,72,84,103,117,120,135,177],"dominant":[31,164],"low-dimensional":[32],"manifold,":[33,165],"while":[34],"other":[35,192],"variations":[36],"considered":[38],"with":[39,154],"minor":[40],"priority.":[41],"We":[42,150],"instead":[43],"consider":[44],"scenario":[46],"pair":[49,178],"of":[50,67,132,138,175,179],"distinct":[51],"manifolds":[52,115,188],"intertwined":[53,114],"same":[56],"space,":[58],"which":[59,94,142],"decomposed":[62],"for":[63],"analysis.":[64],"The":[65],"core":[66],"this":[68],"new":[69],"method":[70,211],"novel":[73],"submanifold":[74,85],"decomposition":[75,106],"(SMD)":[76],"algorithm.":[77],"This":[78],"paper":[79],"has":[80],"three":[81],"contributions:":[82],"1)":[83],"framework":[86],"proposed":[88,167,210],"model":[90],"dataset,":[93],"dominated":[96],"more":[98],"than":[99],"one":[100,163],"factor;":[101],"2)":[102],"nonlinear":[104,133],"method,":[107],"SMD,":[108,134],"presented":[110],"extract":[112,146,162],"two":[113,147,186],"from":[116],"dataset":[118],"discriminative":[121],"manner;":[122],"3)":[124],"order":[126],"solve":[128],"out-of-sample":[130],"problem":[131],"linear":[136,148,171],"extension":[137,172],"SMD":[139,168],"developed,":[141],"effective":[144],"submanifolds.":[149],"demonstrate":[151,207],"comparing":[153],"existing":[156],"methods":[159],"only":[161],"its":[170],"capable":[174],"extracting":[176],"submanifolds":[180],"discriminatively":[181],"effectively.":[183],"Moreover,":[184],"complement":[190],"each":[191],"enhance":[194],"representation":[196],"performance.":[197],"Extensive":[198],"experiments":[199],"both":[201],"artificial":[202],"real":[205],"outperforms":[212],"state-of-the-art":[214],"algorithms":[217],"visual":[219],"recognition":[220],"tasks.":[221]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
