{"id":"https://openalex.org/W4309167169","doi":"https://doi.org/10.1109/tpami.2022.3222569","title":"Differentiable Hierarchical Optimal Transport for Robust Multi-View Learning","display_name":"Differentiable Hierarchical Optimal Transport for Robust Multi-View Learning","publication_year":2022,"publication_date":"2022-11-16","ids":{"openalex":"https://openalex.org/W4309167169","doi":"https://doi.org/10.1109/tpami.2022.3222569","pmid":"https://pubmed.ncbi.nlm.nih.gov/36383576"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2022.3222569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2022.3222569","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"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/A5101426324","display_name":"Dixin Luo","orcid":"https://orcid.org/0000-0003-1136-8903"},"institutions":[{"id":"https://openalex.org/I118692353","display_name":"University of Science and Technology","ror":"https://ror.org/05bj7sh33","country_code":"YE","type":"education","lineage":["https://openalex.org/I118692353"]},{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I4210105935","display_name":"Institute of Genetics and Hospital for Genetic Diseases","ror":"https://ror.org/01bqrhe48","country_code":"IN","type":"healthcare","lineage":["https://openalex.org/I4210105935","https://openalex.org/I8975392"]}],"countries":["CN","IN","YE"],"is_corresponding":true,"raw_author_name":"Dixin Luo","raw_affiliation_strings":["School of Computer Science and Technology, Beijing Institute of Technology, Beijing, Shi, China","University of Science & Technology","Hospital","Genetic Test Hospital"],"raw_orcid":"https://orcid.org/0000-0003-1136-8903","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Beijing Institute of Technology, Beijing, Shi, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"University of Science & Technology","institution_ids":["https://openalex.org/I118692353"]},{"raw_affiliation_string":"Hospital","institution_ids":[]},{"raw_affiliation_string":"Genetic Test Hospital","institution_ids":["https://openalex.org/I4210105935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035141289","display_name":"Hongteng Xu","orcid":"https://orcid.org/0000-0003-4192-5360"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I4210105935","display_name":"Institute of Genetics and Hospital for Genetic Diseases","ror":"https://ror.org/01bqrhe48","country_code":"IN","type":"healthcare","lineage":["https://openalex.org/I4210105935","https://openalex.org/I8975392"]},{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN","IN"],"is_corresponding":false,"raw_author_name":"Hongteng Xu","raw_affiliation_strings":["Beijing Key Laboratory of Big Data Management and Analysis Methods, Renmin University of China, Beijing, China","Hospital","School of Computer Science and Technology, Beijing Institute of Technology","Genetic Test Hospital"],"raw_orcid":"https://orcid.org/0000-0003-4192-5360","affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Big Data Management and Analysis Methods, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Hospital","institution_ids":[]},{"raw_affiliation_string":"School of Computer Science and Technology, Beijing Institute of Technology","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Genetic Test Hospital","institution_ids":["https://openalex.org/I4210105935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016448581","display_name":"Lawrence Carin","orcid":"https://orcid.org/0000-0001-6277-7948"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I4210105935","display_name":"Institute of Genetics and Hospital for Genetic Diseases","ror":"https://ror.org/01bqrhe48","country_code":"IN","type":"healthcare","lineage":["https://openalex.org/I4210105935","https://openalex.org/I8975392"]},{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["CN","IN","SA"],"is_corresponding":false,"raw_author_name":"Lawrence Carin","raw_affiliation_strings":["Electrical Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","School of Computer Science and Technology, Beijing Institute of Technology","Genetic Test Hospital","Hospital"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"School of Computer Science and Technology, Beijing Institute of Technology","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Genetic Test Hospital","institution_ids":["https://openalex.org/I4210105935"]},{"raw_affiliation_string":"Hospital","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101426324"],"corresponding_institution_ids":["https://openalex.org/I118692353","https://openalex.org/I125839683","https://openalex.org/I4210105935"],"apc_list":null,"apc_paid":null,"fwci":1.2486,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83295927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"45","issue":"6","first_page":"7293","last_page":"7307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9965000152587891,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9965000152587891,"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/T10812","display_name":"Human Pose and Action Recognition","score":0.9915000200271606,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9912999868392944,"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/differentiable-function","display_name":"Differentiable function","score":0.6317598223686218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5751979351043701},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5079413056373596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5038287043571472},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4918351173400879},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.460929811000824},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4186486601829529},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.36423259973526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3467899262905121}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6317598223686218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5751979351043701},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5079413056373596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5038287043571472},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4918351173400879},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.460929811000824},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4186486601829529},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.36423259973526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3467899262905121},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2022.3222569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2022.3222569","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:36383576","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36383576","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":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:repository.kaust.edu.sa:10754/685827","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/685827","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2448615063","display_name":null,"funder_award_id":"2020YFF0305200","funder_id":"https://openalex.org/F4320322108","funder_display_name":"Ministry of Science and Technology"},{"id":"https://openalex.org/G3634295602","display_name":null,"funder_award_id":"61832017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6043252873","display_name":null,"funder_award_id":"62106271","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6983870997","display_name":null,"funder_award_id":"62102031","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/F4320322108","display_name":"Ministry of Science and Technology","ror":"https://ror.org/032e49973"},{"id":"https://openalex.org/F4320322499","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92"},{"id":"https://openalex.org/F4320323110","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":109,"referenced_works":["https://openalex.org/W55464428","https://openalex.org/W167030064","https://openalex.org/W297461772","https://openalex.org/W385466589","https://openalex.org/W658020064","https://openalex.org/W1522301498","https://openalex.org/W1523385540","https://openalex.org/W1644641054","https://openalex.org/W1670608554","https://openalex.org/W1883346539","https://openalex.org/W1889038981","https://openalex.org/W1937059634","https://openalex.org/W1968333723","https://openalex.org/W1989529706","https://openalex.org/W2001600470","https://openalex.org/W2003447360","https://openalex.org/W2019106840","https://openalex.org/W2027842533","https://openalex.org/W2036996178","https://openalex.org/W2054659037","https://openalex.org/W2085789144","https://openalex.org/W2090101874","https://openalex.org/W2101324110","https://openalex.org/W2103024562","https://openalex.org/W2131225894","https://openalex.org/W2134236847","https://openalex.org/W2142674578","https://openalex.org/W2154057601","https://openalex.org/W2158131535","https://openalex.org/W2158703881","https://openalex.org/W2181159407","https://openalex.org/W2187089797","https://openalex.org/W2285541823","https://openalex.org/W2590019597","https://openalex.org/W2610882944","https://openalex.org/W2736800318","https://openalex.org/W2739748921","https://openalex.org/W2752879928","https://openalex.org/W2788043421","https://openalex.org/W2807714591","https://openalex.org/W2892816441","https://openalex.org/W2894170005","https://openalex.org/W2906529026","https://openalex.org/W2909805545","https://openalex.org/W2914383137","https://openalex.org/W2914574289","https://openalex.org/W2945634346","https://openalex.org/W2947503373","https://openalex.org/W2949679478","https://openalex.org/W2950099875","https://openalex.org/W2953014951","https://openalex.org/W2953057288","https://openalex.org/W2954605059","https://openalex.org/W2955166395","https://openalex.org/W2955598033","https://openalex.org/W2962793481","https://openalex.org/W2963006832","https://openalex.org/W2963181447","https://openalex.org/W2963746531","https://openalex.org/W2966645965","https://openalex.org/W2970948008","https://openalex.org/W2996858319","https://openalex.org/W3004767381","https://openalex.org/W3034275286","https://openalex.org/W3103180971","https://openalex.org/W3110556690","https://openalex.org/W3122451732","https://openalex.org/W3129576130","https://openalex.org/W3129625272","https://openalex.org/W3166396011","https://openalex.org/W3167015775","https://openalex.org/W3176728172","https://openalex.org/W3201879291","https://openalex.org/W3204782953","https://openalex.org/W3205673486","https://openalex.org/W4232474512","https://openalex.org/W4281643269","https://openalex.org/W4288350653","https://openalex.org/W4306317292","https://openalex.org/W6606785185","https://openalex.org/W6621906925","https://openalex.org/W6631190155","https://openalex.org/W6631216910","https://openalex.org/W6637189863","https://openalex.org/W6639103823","https://openalex.org/W6639358663","https://openalex.org/W6675134712","https://openalex.org/W6682270173","https://openalex.org/W6682962330","https://openalex.org/W6683255826","https://openalex.org/W6736735008","https://openalex.org/W6741832134","https://openalex.org/W6742630102","https://openalex.org/W6745535286","https://openalex.org/W6752398176","https://openalex.org/W6752474537","https://openalex.org/W6754567369","https://openalex.org/W6757500957","https://openalex.org/W6762483757","https://openalex.org/W6762510086","https://openalex.org/W6762833281","https://openalex.org/W6765036836","https://openalex.org/W6765237802","https://openalex.org/W6765451481","https://openalex.org/W6773491187","https://openalex.org/W6785760900","https://openalex.org/W6786114458","https://openalex.org/W6790978476","https://openalex.org/W6791353385"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W2300851791","https://openalex.org/W1998698147"],"abstract_inverted_index":{"Traditional":[0],"multi-view":[1,45,64,76,139,148,242,257],"learning":[2,65,149,243],"methods":[3,244],"often":[4],"rely":[5],"on":[6,66,91,245],"two":[7,33,68,72],"assumptions:":[8],"(":[9,19],"i)":[10],"the":[11,24,42,61,78,82,96,101,111,115,118,124,144,162,175,178,183,190,194,197,202,213],"samples":[12],"in":[13,27,38,182,196],"different":[14,106],"views":[15,73,107],"are":[16],"well-aligned,":[17],"and":[18,108,150,186,226,248],"ii)":[20],"their":[21,87],"representations":[22],"obey":[23],"same":[25],"distribution":[26],"a":[28,52,131,153,167],"latent":[29,88],"space.":[30],"Unfortunately,":[31],"these":[32,67,92],"assumptions":[34],"may":[35],"be":[36],"questionable":[37],"practice,":[39],"which":[40,141],"limits":[41],"application":[43],"of":[44,63,74,114,147,170,177,204],"learning.":[46,228],"In":[47],"this":[48],"work,":[49],"we":[50],"propose":[51],"differentiable":[53,168],"hierarchical":[54,132],"optimal":[55,103,120,133,164,180],"transport":[56,104,134,165,181],"(DHOT)":[57],"method":[58,80,98,160,220,235],"to":[59,130,152,212,240],"mitigate":[60],"dependency":[62],"assumptions.":[69],"Given":[70],"arbitrary":[71],"unaligned":[75,138,256],"data,":[77,140],"DHOT":[79,97,159,219,234],"calculates":[81,100],"sliced":[83,93,126],"Wasserstein":[84,94,127],"distance":[85,135],"between":[86],"distributions.":[89],"Based":[90],"distances,":[95,128],"further":[99],"entropic":[102,119,163,179],"across":[105],"explicitly":[109],"indicates":[110],"clustering":[112],"structure":[113],"views.":[116],"Accordingly,":[117],"transport,":[121],"together":[122],"with":[123,255],"underlying":[125],"leads":[129,151],"defined":[136],"for":[137,193,223,252],"works":[142],"as":[143,166],"objective":[145],"function":[146],"bi-level":[154,206],"optimization":[155,207,216],"task.":[156],"Moreover,":[157],"our":[158,205,233],"treats":[161],"operator":[169],"model":[171,195],"parameters.":[172],"It":[173],"considers":[174],"gradient":[176],"backpropagation":[184],"step":[185],"thus":[187],"helps":[188],"improve":[189],"descent":[191],"direction":[192],"training":[198],"phase.":[199],"We":[200],"demonstrate":[201],"superiority":[203],"strategy":[208],"by":[209],"comparing":[210],"it":[211],"traditional":[214],"alternating":[215],"strategy.":[217],"The":[218],"is":[221,236],"applicable":[222],"both":[224,246],"unsupervised":[225],"semi-supervised":[227],"Experimental":[229],"results":[230],"show":[231],"that":[232],"at":[237],"least":[238],"comparable":[239],"state-of-the-art":[241],"synthetic":[247],"real-world":[249],"tasks,":[250],"especially":[251],"challenging":[253],"scenarios":[254],"data.":[258]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}