{"id":"https://openalex.org/W2021330120","doi":"https://doi.org/10.1109/tip.2014.2312643","title":"A Regularized Approach for Geodesic-Based Semisupervised Multimanifold Learning","display_name":"A Regularized Approach for Geodesic-Based Semisupervised Multimanifold Learning","publication_year":2014,"publication_date":"2014-03-19","ids":{"openalex":"https://openalex.org/W2021330120","doi":"https://doi.org/10.1109/tip.2014.2312643","mag":"2021330120","pmid":"https://pubmed.ncbi.nlm.nih.gov/24723575"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2014.2312643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2312643","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_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 Image Processing","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/A5007888592","display_name":"Mingyu Fan","orcid":"https://orcid.org/0000-0002-0492-4708"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingyu Fan","raw_affiliation_strings":["Institute of Intelligent System and Decision, Wenzhou University, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Intelligent System and Decision, Wenzhou University, Zhejiang, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100699785","display_name":"Xiaoqin Zhang","orcid":"https://orcid.org/0000-0003-0958-7285"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqin Zhang","raw_affiliation_strings":["Institute of Intelligent System and Decision, Wenzhou University, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Intelligent System and Decision, Wenzhou University, Zhejiang, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016399094","display_name":"Zhouchen Lin","orcid":"https://orcid.org/0000-0003-1493-7569"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouchen Lin","raw_affiliation_strings":["Key Laboratory of Machine Perception, School of Electrical and Engineering Computer Sciences, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Machine Perception, School of Electrical and Engineering Computer Sciences, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036747535","display_name":"Zhongfei Zhang","orcid":"https://orcid.org/0000-0001-5098-2506"},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhongfei Zhang","raw_affiliation_strings":["State University of New York, Binghamton, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State University of New York, Binghamton, NY, USA","institution_ids":["https://openalex.org/I123946342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059021869","display_name":"Hujun Bao","orcid":"https://orcid.org/0000-0002-2662-0334"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hujun Bao","raw_affiliation_strings":["State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9408,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88760357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"5","first_page":"2133","last_page":"2147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9940999746322632,"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":0.9940999746322632,"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/T10812","display_name":"Human Pose and Action Recognition","score":0.9825000166893005,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9692999720573425,"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/geodesic","display_name":"Geodesic","score":0.8890359401702881},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6272000670433044},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6199567317962646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5649469494819641},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.5041376352310181},{"id":"https://openalex.org/keywords/mnist-database","display_name":"MNIST database","score":0.49278977513313293},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.48898398876190186},{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.45527949929237366},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4385388493537903},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.42614316940307617},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.420463889837265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3737836480140686},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.2238958477973938}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8890359401702881},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6272000670433044},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6199567317962646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5649469494819641},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.5041376352310181},{"id":"https://openalex.org/C190502265","wikidata":"https://www.wikidata.org/wiki/Q17069496","display_name":"MNIST database","level":3,"score":0.49278977513313293},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.48898398876190186},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.45527949929237366},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4385388493537903},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.42614316940307617},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.420463889837265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3737836480140686},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.2238958477973938},{"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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2014.2312643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2312643","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_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 Image Processing","raw_type":"journal-article"},{"id":"pmid:24723575","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24723575","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 image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.676.9475","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.676.9475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cis.pku.edu.cn/faculty/vision/zlin/Publications/2014-TIP-Multi-MDA.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W1576613474","https://openalex.org/W1578196132","https://openalex.org/W1982000202","https://openalex.org/W1993962865","https://openalex.org/W1997201895","https://openalex.org/W2001141328","https://openalex.org/W2009333972","https://openalex.org/W2015837697","https://openalex.org/W2017856856","https://openalex.org/W2034249868","https://openalex.org/W2042038728","https://openalex.org/W2053186076","https://openalex.org/W2072509929","https://openalex.org/W2077776048","https://openalex.org/W2080322700","https://openalex.org/W2089474073","https://openalex.org/W2090504921","https://openalex.org/W2093402979","https://openalex.org/W2097308346","https://openalex.org/W2098870882","https://openalex.org/W2100549954","https://openalex.org/W2100659887","https://openalex.org/W2102002080","https://openalex.org/W2104290444","https://openalex.org/W2105055468","https://openalex.org/W2111427896","https://openalex.org/W2112796928","https://openalex.org/W2113590298","https://openalex.org/W2117553576","https://openalex.org/W2118527389","https://openalex.org/W2120453412","https://openalex.org/W2121647436","https://openalex.org/W2123111020","https://openalex.org/W2123977795","https://openalex.org/W2124925761","https://openalex.org/W2129795301","https://openalex.org/W2131912994","https://openalex.org/W2146153407","https://openalex.org/W2151259142","https://openalex.org/W2156838815","https://openalex.org/W2163584563","https://openalex.org/W2164071167","https://openalex.org/W2167144347","https://openalex.org/W2169743536","https://openalex.org/W2169897982","https://openalex.org/W2170858770","https://openalex.org/W2911840696","https://openalex.org/W2951085447","https://openalex.org/W2997701990","https://openalex.org/W3099514962","https://openalex.org/W3148981562","https://openalex.org/W3151199439","https://openalex.org/W6634500723","https://openalex.org/W6672694526","https://openalex.org/W6675164516","https://openalex.org/W6675397997","https://openalex.org/W6675747103","https://openalex.org/W6678230916","https://openalex.org/W6678412491","https://openalex.org/W6685372642","https://openalex.org/W6758731821"],"related_works":["https://openalex.org/W2375574759","https://openalex.org/W2383239174","https://openalex.org/W3088634662","https://openalex.org/W117517268","https://openalex.org/W4313338966","https://openalex.org/W3137091086","https://openalex.org/W2539700568","https://openalex.org/W1489327846","https://openalex.org/W1996633793","https://openalex.org/W2931531042"],"abstract_inverted_index":{"Geodesic":[0],"distance,":[1],"as":[2,77],"an":[3,55,163],"essential":[4],"measurement":[5],"for":[6,60,143],"data":[7,42,84,125,153,160,166],"dissimilarity,":[8],"has":[9,50],"been":[10,51],"successfully":[11],"used":[12,35],"in":[13,36,66],"manifold":[14,20,100],"learning.":[15],"However,":[16],"most":[17],"geodesic":[18,39,68,75,105,134],"distance-based":[19],"learning":[21,101,107],"algorithms":[22],"have":[23],"two":[24],"limitations":[25],"when":[26],"applied":[27],"to":[28,53,89],"classification:":[29],"1)":[30],"class":[31],"information":[32,64],"is":[33,109],"rarely":[34],"computing":[37],"the":[38,62,67,148,169,172],"distances":[40],"between":[41],"points":[43,126],"on":[44,147],"manifolds":[45],"and":[46,136,162],"2)":[47],"little":[48],"attention":[49],"paid":[52],"building":[54],"explicit":[56],"dimension":[57,140],"reduction":[58,141],"mapping":[59],"extracting":[61],"discriminative":[63],"hidden":[65],"distances.":[69],"In":[70,94],"this":[71],"paper,":[72],"we":[73],"regard":[74],"distance":[76,92],"a":[78,97,117,137],"kind":[79],"of":[80,114,123,171],"kernel,":[81],"which":[82,130],"maps":[83],"from":[85],"linearly":[86],"inseparable":[87],"space":[88],"linear":[90],"separable":[91],"space.":[93],"doing":[95],"this,":[96],"new":[98,138],"semisupervised":[99,118,139],"algorithm,":[102,108],"namely":[103],"regularized":[104],"feature":[106,128,144],"proposed.":[110],"The":[111],"method":[112,142],"consists":[113],"three":[115],"techniques:":[116],"graph":[119],"construction":[120],"method,":[121],"replacement":[122],"original":[124],"with":[127],"vectors":[129],"are":[131],"built":[132],"by":[133],"distances,":[135],"vectors.":[145],"Experiments":[146],"MNIST,":[149],"USPS":[150],"handwritten":[151],"digit":[152],"sets,":[154],"MIT":[155],"CBCL":[156],"face":[157],"versus":[158],"nonface":[159],"set,":[161],"intelligent":[164],"traffic":[165],"set":[167],"show":[168],"effectiveness":[170],"proposed":[173],"algorithm.":[174]},"counts_by_year":[{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
