{"id":"https://openalex.org/W2020315425","doi":"https://doi.org/10.1109/cvpr.2011.5995541","title":"Modeling the joint density of two images under a variety of transformations","display_name":"Modeling the joint density of two images under a variety of transformations","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2020315425","doi":"https://doi.org/10.1109/cvpr.2011.5995541","mag":"2020315425"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2011.5995541","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","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/A5033404184","display_name":"Joshua M. Susskind","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joshua Susskind","raw_affiliation_strings":["Institute for Neural Computation, University of California, San Diego, USA","Institute for Neural Computation, University of California, San Diego, United States"],"affiliations":[{"raw_affiliation_string":"Institute for Neural Computation, University of California, San Diego, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Institute for Neural Computation, University of California, San Diego, United States","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108093963","display_name":"Geoffrey E. Hinton","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["CA","DE"],"is_corresponding":false,"raw_author_name":"Geoffrey Hinton","raw_affiliation_strings":["Department of Computer Science, University of Frankfurt am Main, Germany","Department of Computer Science University of Toronto, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"Department of Computer Science University of Toronto, Canada#TAB#","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030440955","display_name":"Roland Memisevic","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roland Memisevic","raw_affiliation_strings":["Department of Computer Science, University of Frankfurt am Main, Germany","Department of Computer Science, University of Frankfurt, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"Department of Computer Science, University of Frankfurt, Germany#TAB#","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021908609","display_name":"Marc Pollefeys","orcid":"https://orcid.org/0000-0003-2448-2318"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marc Pollefeys","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Switzerland","Department of Computer Science ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Computer Science ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033404184"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":4.9702,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.9607645,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"401","issue":null,"first_page":"2793","last_page":"2800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11448","display_name":"Face recognition and analysis","score":0.9997000098228455,"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/T11448","display_name":"Face recognition and analysis","score":0.9997000098228455,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9994999766349792,"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 and Expression Recognition","score":0.9847999811172485,"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/computer-science","display_name":"Computer science","score":0.6805977821350098},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6661655902862549},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6460459232330322},{"id":"https://openalex.org/keywords/generative-model","display_name":"Generative model","score":0.6326800584793091},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5717815160751343},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5546061396598816},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4769933819770813},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.453016072511673},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4513395130634308},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.45115718245506287},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.44471997022628784},{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.37924277782440186},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3395317792892456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2948377728462219},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.22837692499160767},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07257598638534546}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6805977821350098},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6661655902862549},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6460459232330322},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.6326800584793091},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5717815160751343},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5546061396598816},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4769933819770813},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.453016072511673},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4513395130634308},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.45115718245506287},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.44471997022628784},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.37924277782440186},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3395317792892456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2948377728462219},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.22837692499160767},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07257598638534546},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cvpr.2011.5995541","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.220.3835","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.3835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.toronto.edu/%7Ehinton/absps/morphBM.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.232.3971","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.3971","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utoronto.ca/%7Erfm/pubs/morphBM.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309949","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1586730761","https://openalex.org/W1902027874","https://openalex.org/W1966797434","https://openalex.org/W1983334819","https://openalex.org/W1989940876","https://openalex.org/W1994197834","https://openalex.org/W2025301573","https://openalex.org/W2091662199","https://openalex.org/W2098207052","https://openalex.org/W2099987538","https://openalex.org/W2114153178","https://openalex.org/W2114831727","https://openalex.org/W2116064496","https://openalex.org/W2117154949","https://openalex.org/W2120190345","https://openalex.org/W2133257461","https://openalex.org/W2135217348","https://openalex.org/W2136163184","https://openalex.org/W2136922672","https://openalex.org/W2152406481","https://openalex.org/W2157364932","https://openalex.org/W2170653751","https://openalex.org/W2536626143","https://openalex.org/W2610857016","https://openalex.org/W2963214665","https://openalex.org/W3118608800","https://openalex.org/W6635099914","https://openalex.org/W6637028002","https://openalex.org/W6677238981","https://openalex.org/W6679718588","https://openalex.org/W6679935232","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W4365211920","https://openalex.org/W3014948380","https://openalex.org/W4380551139","https://openalex.org/W4317695495","https://openalex.org/W4287117424","https://openalex.org/W4387506531","https://openalex.org/W2087346071","https://openalex.org/W4238433571","https://openalex.org/W2967848559","https://openalex.org/W4299831724"],"abstract_inverted_index":{"We":[0,59,97],"describe":[1],"a":[2,16,54,107],"generative":[3,89],"model":[4,12,62,102],"of":[5,57,95],"the":[6,28,36,50,61,75,101],"relationship":[7],"between":[8],"two":[9],"images.":[10],"The":[11],"is":[13,84],"defined":[14],"as":[15,106],"factored":[17],"three-way":[18],"Boltzmann":[19],"machine,":[20],"in":[21],"which":[22],"hidden":[23],"variables":[24],"collaborate":[25],"to":[26,44,53,63,73,86,111],"define":[27],"joint":[29,37],"correlation":[30],"matrix":[31],"for":[32],"image":[33],"pairs.":[34],"Modeling":[35],"distribution":[38],"over":[39],"pairs":[40],"makes":[41],"it":[42,71],"possible":[43],"efficiently":[45],"match":[46],"images":[47,77],"that":[48,70,100],"are":[49],"same":[51],"according":[52],"learned":[55],"measure":[56],"similarity.":[58],"apply":[60],"several":[64],"face":[65],"matching":[66,109],"tasks,":[67],"and":[68],"show":[69,99],"learns":[72],"represent":[74],"input":[76],"using":[78],"task-specific":[79],"basis":[80],"functions.":[81],"Matching":[82],"performance":[83],"superior":[85],"previous":[87],"similar":[88],"models,":[90],"including":[91],"recent":[92],"conditional":[93],"models":[94],"transformations.":[96],"also":[98],"can":[103],"be":[104],"used":[105],"plug-in":[108],"score":[110],"perform":[112],"invariant":[113],"classification.":[114]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
