{"id":"https://openalex.org/W1972301372","doi":"https://doi.org/10.1145/1015330.1015362","title":"Probabilistic tangent subspace","display_name":"Probabilistic tangent subspace","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1972301372","doi":"https://doi.org/10.1145/1015330.1015362","mag":"1972301372"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1015330.1015362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5065226873","display_name":"Jianguo Lee","orcid":null},"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":"Jianguo Lee","raw_affiliation_strings":["TsingHua University, Beijing, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075880303","display_name":"Jingdong Wang","orcid":"https://orcid.org/0000-0002-4888-4445"},"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":"Jingdong Wang","raw_affiliation_strings":["TsingHua University, Beijing, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065063835","display_name":"Changshui Zhang","orcid":"https://orcid.org/0000-0002-8088-367X"},"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":"Changshui Zhang","raw_affiliation_strings":["TsingHua University, Beijing, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082785159","display_name":"Zhaoqi Bian","orcid":null},"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":"Zhaoqi Bian","raw_affiliation_strings":["TsingHua University, Beijing, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.461,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":11,"citation_normalized_percentile":{"value":0.612119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Network Fundamentals and Applications","score":0.9976,"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 Network Fundamentals and Applications","score":0.9976,"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/T10824","display_name":"Shape Matching and Object Recognition","score":0.9965,"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/T10057","display_name":"Face Recognition and Dimensionality Reduction Techniques","score":0.9961,"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/tangent-vector","display_name":"Tangent vector","score":0.77150494},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality Reduction","score":0.569655},{"id":"https://openalex.org/keywords/support-vector-machines","display_name":"Support Vector Machines","score":0.547321},{"id":"https://openalex.org/keywords/backpropagation-learning","display_name":"Backpropagation Learning","score":0.538303},{"id":"https://openalex.org/keywords/pattern-classification","display_name":"Pattern Classification","score":0.534836},{"id":"https://openalex.org/keywords/feature-descriptors","display_name":"Feature Descriptors","score":0.523049},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5007069}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.8930933},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.77150494},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6829096},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6793017},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.64479256},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.52034825},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.51892114},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5007069},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47199845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46899724},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4656836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42131907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36133924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1950176},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16093674},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1015330.1015362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5,"display_name":"Reduced inequalities"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":17,"referenced_works":["https://openalex.org/W1799175275","https://openalex.org/W2033419168","https://openalex.org/W2048116397","https://openalex.org/W2100439325","https://openalex.org/W2101563326","https://openalex.org/W2102909657","https://openalex.org/W2121122425","https://openalex.org/W2121649666","https://openalex.org/W2128716185","https://openalex.org/W2128804044","https://openalex.org/W2137291015","https://openalex.org/W2140095548","https://openalex.org/W2159737176","https://openalex.org/W2160059488","https://openalex.org/W2163647352","https://openalex.org/W2168353336","https://openalex.org/W3023786531"],"related_works":["https://openalex.org/W4249328994","https://openalex.org/W2577818139","https://openalex.org/W2391887161","https://openalex.org/W2390580168","https://openalex.org/W2381565014","https://openalex.org/W2361271799","https://openalex.org/W2358302317","https://openalex.org/W2353074735","https://openalex.org/W2098859420","https://openalex.org/W2096561270"],"abstract_inverted_index":{"Tangent":[0,80],"Distance":[1],"(TD)":[2],"is":[3,19,38],"one":[4],"classical":[5],"method":[6],"for":[7,22],"invariant":[8],"pattern":[9,32,48],"classification.":[10],"However,":[11],"conventional":[12],"TD":[13,28],"need":[14],"pre-obtain":[15],"tangent":[16,40],"vectors,":[17],"which":[18],"difficult":[20],"except":[21],"image":[23],"objects.":[24],"This":[25],"paper":[26],"extends":[27],"to":[29,56],"more":[30],"general":[31],"classification":[33,90],"tasks.":[34],"The":[35],"basic":[36],"assumption":[37],"that":[39,85],"vectors":[41],"can":[42,87],"be":[43],"approximately":[44],"represented":[45],"by":[46],"the":[47,58,60],"variations.":[49],"We":[50],"propose":[51],"three":[52,70],"probabilistic":[53],"subspace":[54,67],"models":[55,71],"encode":[57],"variations:":[59],"linear":[61],"subspace,":[62,64],"nonlinear":[63],"and":[65],"manifold":[66],"models.":[68],"These":[69],"are":[72],"addressed":[73],"in":[74,92],"a":[75],"unified":[76],"view,":[77],"namely":[78],"Probabilistic":[79],"Subspace":[81],"(PTS).":[82],"Experiments":[83],"show":[84],"PTS":[86],"achieve":[88],"promising":[89],"performance":[91],"non-image":[93],"data":[94],"sets.":[95]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1972301372","counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2024-11-18T00:21:07.075280","created_date":"2016-06-24"}