{"id":"https://openalex.org/W1975437897","doi":"https://doi.org/10.1142/s021800141451001x","title":"A GENERAL FRAMEWORK FOR MANIFOLD RECONSTRUCTION FROM DIMENSIONALITY REDUCTION","display_name":"A GENERAL FRAMEWORK FOR MANIFOLD RECONSTRUCTION FROM DIMENSIONALITY REDUCTION","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W1975437897","doi":"https://doi.org/10.1142/s021800141451001x","mag":"1975437897"},"language":"en","primary_location":{"id":"doi:10.1142/s021800141451001x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021800141451001x","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","raw_type":"journal-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/A5042456842","display_name":"XIAN'EN QIU","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4210098034","display_name":"Key Laboratory of Guangdong Province","ror":"https://ror.org/00swtqp09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIAN'EN QIU","raw_affiliation_strings":["Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101808271","display_name":"Zhong Zhao","orcid":"https://orcid.org/0009-0007-9570-1043"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4210098034","display_name":"Key Laboratory of Guangdong Province","ror":"https://ror.org/00swtqp09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHONG ZHAO","raw_affiliation_strings":["Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090531329","display_name":"Guocan Feng","orcid":"https://orcid.org/0000-0002-0097-5591"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4210098034","display_name":"Key Laboratory of Guangdong Province","ror":"https://ror.org/00swtqp09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"GUOCAN FENG","raw_affiliation_strings":["Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077075722","display_name":"Patrick S. P. Wang","orcid":"https://orcid.org/0000-0002-9336-3155"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"PATRICK S. P. WANG","raw_affiliation_strings":["CCIS, Northeastern University, Boston, USA","ECNU, Shanghai, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CCIS, Northeastern University, Boston, USA","institution_ids":["https://openalex.org/I12912129","https://openalex.org/I111088046"]},{"raw_affiliation_string":"ECNU, Shanghai, P. R. China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10416317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"02","first_page":"1451001","last_page":"1451001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9958000183105469,"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/T10320","display_name":"Neural Networks and Applications","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.8320578932762146},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.6986234784126282},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6830661296844482},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6463677883148193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6281991004943848},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6076565384864807},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.48390015959739685},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4747079908847809},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4503055810928345},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4360947608947754},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3716033101081848},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.356385201215744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2501150667667389}],"concepts":[{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.8320578932762146},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.6986234784126282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6830661296844482},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6463677883148193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6281991004943848},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6076565384864807},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48390015959739685},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4747079908847809},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4503055810928345},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4360947608947754},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3716033101081848},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.356385201215744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2501150667667389},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021800141451001x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021800141451001x","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.550000011920929,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320466","display_name":"Gallipoli Medical Research Foundation","ror":"https://ror.org/02p32hv70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W198244778","https://openalex.org/W1993436046","https://openalex.org/W2001141328","https://openalex.org/W2053186076","https://openalex.org/W2062558125","https://openalex.org/W2077776048","https://openalex.org/W2097308346","https://openalex.org/W2100495367","https://openalex.org/W2121122425","https://openalex.org/W2133893370","https://openalex.org/W2140833774","https://openalex.org/W2147274519","https://openalex.org/W2149544245","https://openalex.org/W2156718197","https://openalex.org/W2156838815","https://openalex.org/W2479500547","https://openalex.org/W3099514962"],"related_works":["https://openalex.org/W2375574759","https://openalex.org/W3088634662","https://openalex.org/W3162910294","https://openalex.org/W1995622179","https://openalex.org/W2539700568","https://openalex.org/W1996633793","https://openalex.org/W2383239174","https://openalex.org/W117517268","https://openalex.org/W2166963679","https://openalex.org/W2573981081"],"abstract_inverted_index":{"Recently,":[0],"many":[1,22],"dimensionality":[2],"reduction":[3],"(DR)":[4],"algorithms":[5,36],"have":[6],"been":[7],"developed,":[8],"which":[9,120],"are":[10],"successfully":[11],"applied":[12],"to":[13,25,29,54,91,126],"feature":[14],"extraction":[15],"and":[16],"representation":[17],"in":[18,159],"pattern":[19],"classification.":[20],"However,":[21],"applications":[23],"need":[24,125],"re-project":[26],"the":[27,30,42,56,59,63,70,74,81,100,104,107,111,115,146,155,160],"features":[28],"original":[31,60,108],"space.":[32],"Unfortunately,":[33],"most":[34],"DR":[35,66,87,96,112],"cannot":[37],"perform":[38,55],"reconstruction.":[39,161],"Based":[40],"on":[41,150],"manifold":[43],"assumption,":[44],"this":[45],"paper":[46],"proposes":[47],"a":[48],"General":[49],"Manifold":[50],"Reconstruction":[51],"Framework":[52],"(GMRF)":[53],"reconstruction":[57,72,139],"of":[58,86,106,145],"data":[61,109],"from":[62,110],"low":[64],"dimensional":[65],"results.":[67,113],"Comparing":[68],"with":[69],"existing":[71],"algorithms,":[73],"framework":[75,83,101,116,156],"has":[76],"two":[77],"significant":[78],"advantages.":[79],"First,":[80],"proposed":[82],"is":[84,90,98,117,140],"independent":[85],"algorithm.":[88],"That":[89],"say,":[92],"no":[93],"matter":[94],"what":[95],"algorithm":[97],"used,":[99],"can":[102],"recover":[103],"structure":[105],"Second,":[114],"space":[118,135],"saving,":[119],"means":[121],"it":[122],"does":[123],"not":[124],"store":[127],"any":[128],"training":[129,147],"sample":[130],"after":[131],"training.":[132],"The":[133],"storage":[134],"GMRF":[136],"needed":[137],"for":[138],"far":[141],"less":[142],"than":[143],"that":[144,154],"samples.":[148],"Experiments":[149],"different":[151],"dataset":[152],"demonstrate":[153],"performs":[157],"well":[158]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}