{"id":"https://openalex.org/W1993801010","doi":"https://doi.org/10.1109/tip.2013.2292303","title":"Multilinear Graph Embedding: Representation and Regularization for Images","display_name":"Multilinear Graph Embedding: Representation and Regularization for Images","publication_year":2014,"publication_date":"2014-01-06","ids":{"openalex":"https://openalex.org/W1993801010","doi":"https://doi.org/10.1109/tip.2013.2292303","mag":"1993801010","pmid":"https://pubmed.ncbi.nlm.nih.gov/26270915"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2013.2292303","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5070606235","display_name":"Yilei Chen","orcid":"https://orcid.org/0000-0002-8811-3549"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"funder","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yi-Lei Chen","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan#TAB#","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101668500","display_name":"Chiou-Ting Hsu","orcid":"https://orcid.org/0000-0001-8857-2481"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"funder","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chiou-Ting Hsu","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan#TAB#","institution_ids":["https://openalex.org/I25846049"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.178,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":17,"citation_normalized_percentile":{"value":0.749465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":90},"biblio":{"volume":"23","issue":"2","first_page":"741","last_page":"754"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12740","display_name":"Gait Recognition and Analysis","score":0.9969,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12740","display_name":"Gait Recognition and Analysis","score":0.9969,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9969,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.46363562},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.41779286},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization","score":0.41644618}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.91612136},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.68414223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.66134346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.52791595},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.46363562},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.41779286},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.41644618},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4162135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39910197},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2013.2292303","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26270915","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_indexed_in_scopus":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":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.77,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":34,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W2001141328","https://openalex.org/W2006793117","https://openalex.org/W2007848143","https://openalex.org/W2013912476","https://openalex.org/W2018282388","https://openalex.org/W2030928609","https://openalex.org/W2050098151","https://openalex.org/W2053186076","https://openalex.org/W2065978441","https://openalex.org/W2095643100","https://openalex.org/W2097366995","https://openalex.org/W2098693229","https://openalex.org/W2102544846","https://openalex.org/W2108995755","https://openalex.org/W2113055885","https://openalex.org/W2113385936","https://openalex.org/W2117553576","https://openalex.org/W2121647436","https://openalex.org/W2126680226","https://openalex.org/W2133665775","https://openalex.org/W2135346934","https://openalex.org/W2141143897","https://openalex.org/W2150412725","https://openalex.org/W2150796457","https://openalex.org/W2151357380","https://openalex.org/W2152993203","https://openalex.org/W2153353865","https://openalex.org/W2153763188","https://openalex.org/W2156718197","https://openalex.org/W2159826324","https://openalex.org/W2162637636","https://openalex.org/W2170858770","https://openalex.org/W3148981562"],"related_works":["https://openalex.org/W4388657356","https://openalex.org/W4318719034","https://openalex.org/W4296311369","https://openalex.org/W3151212431","https://openalex.org/W3035010459","https://openalex.org/W2396820687","https://openalex.org/W2094567862","https://openalex.org/W2048755684","https://openalex.org/W2011892585","https://openalex.org/W1999178348"],"abstract_inverted_index":{"Given":[0],"a":[1,6,13,67,122],"set":[2],"of":[3,26,164],"images,":[4,32],"finding":[5],"compact":[7],"and":[8,97,130,148],"discriminative":[9],"representation":[10],"is":[11,119],"still":[12],"big":[14],"challenge":[15],"especially":[16],"when":[17],"multiple":[18],"latent":[19],"factors":[20],"are":[21,36,45],"hidden":[22],"in":[23,156],"the":[24,41,83,94,105,133,153,162],"way":[25],"data":[27],"generation.":[28],"To":[29,62],"represent":[30],"multifactor":[31,141],"although":[33],"multilinear":[34,71,88,98],"models":[35],"widely":[37],"used":[38],"to":[39,81],"parameterize":[40],"data,":[42],"most":[43],"methods":[44],"based":[46],"on":[47,128],"high-order":[48,123],"singular":[49],"value":[50],"decomposition":[51],"(HOSVD),":[52],"which":[53],"preserves":[54],"global":[55],"statistics":[56],"but":[57],"interprets":[58],"local":[59],"variations":[60],"inadequately.":[61],"this":[63],"end,":[64],"we":[65],"propose":[66],"novel":[68],"method,":[69],"called":[70],"graph":[72],"embedding":[73],"(MGE),":[74],"as":[75,77,121],"well":[76],"its":[78,149],"kernelization":[79],"MKGE":[80],"leverage":[82],"manifold":[84],"learning":[85],"techniques":[86],"into":[87],"models.":[89],"Our":[90],"method":[91],"theoretically":[92],"links":[93],"linear,":[95],"nonlinear,":[96],"dimensionality":[99],"reduction.":[100],"We":[101],"also":[102],"show":[103],"that":[104,116,137],"supervised":[106],"MGE":[107,138,165],"encodes":[108],"informative":[109],"image":[110,113,118,157,167],"priors":[111],"for":[112,166],"regularization,":[114],"provided":[115],"an":[117],"represented":[120],"tensor.":[124],"From":[125],"our":[126],"experiments":[127],"face":[129],"gait":[131],"recognition,":[132],"superior":[134],"performance":[135],"demonstrates":[136],"better":[139],"represents":[140],"images":[142],"than":[143],"classic":[144],"methods,":[145],"including":[146],"HOSVD":[147],"variants.":[150],"In":[151],"addition,":[152],"significant":[154],"improvement":[155],"(or":[158],"tensor)":[159],"completion":[160],"validates":[161],"potential":[163],"regularization.":[168]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1993801010","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-04-24T11:11:50.538390","created_date":"2016-06-24"}