{"id":"https://openalex.org/W2911895827","doi":"https://doi.org/10.1109/bibm.2018.8621454","title":"Hypergraph regularized NMF by L&lt;inf&gt;2,1&lt;/inf&gt;-norm for Clustering and Com-abnormal Expression Genes Selection","display_name":"Hypergraph regularized NMF by L&lt;inf&gt;2,1&lt;/inf&gt;-norm for Clustering and Com-abnormal Expression Genes Selection","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2911895827","doi":"https://doi.org/10.1109/bibm.2018.8621454","mag":"2911895827"},"language":"en","primary_location":{"id":"doi:10.1109/bibm.2018.8621454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2018.8621454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","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/A5006824735","display_name":"Na Yu","orcid":"https://orcid.org/0000-0002-1154-3348"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Na Yu","raw_affiliation_strings":["School of Information Science and Engineering, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026569643","display_name":"Ying-Lian Gao","orcid":"https://orcid.org/0000-0003-0483-5622"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying-Lian Gao","raw_affiliation_strings":["Library of Qufu Normal University, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"Library of Qufu Normal University, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073144090","display_name":"Jin\u2010Xing Liu","orcid":"https://orcid.org/0000-0001-6104-2149"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin-Xing Liu","raw_affiliation_strings":["School of Information Science and Engineering, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100347490","display_name":"Juan Wang","orcid":"https://orcid.org/0000-0003-3934-0435"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Wang","raw_affiliation_strings":["School of Information Science and Engineering, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007539735","display_name":"Junliang Shang","orcid":"https://orcid.org/0000-0002-8488-2228"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junliang Shang","raw_affiliation_strings":["School of Information Science and Engineering, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5006824735"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":null,"apc_paid":null,"fwci":0.3677,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61197514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"578","last_page":"582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10062","display_name":"MicroRNA in disease regulation","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1306","display_name":"Cancer Research"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9589999914169312,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.8147545456886292},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6807538270950317},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5934337377548218},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5382987856864929},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5275689363479614},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5186847448348999},{"id":"https://openalex.org/keywords/feature-selection","display_name":"Feature selection","score":0.49967360496520996},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4846680462360382},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.47700977325439453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4745826721191406},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4241047501564026},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.42069071531295776},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.41331204771995544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39391952753067017},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.21315568685531616},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13029760122299194},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11758151650428772},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.09974586963653564},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08139026165008545}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.8147545456886292},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6807538270950317},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5934337377548218},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5382987856864929},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5275689363479614},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5186847448348999},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.49967360496520996},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4846680462360382},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47700977325439453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4745826721191406},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4241047501564026},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.42069071531295776},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.41331204771995544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39391952753067017},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.21315568685531616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13029760122299194},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11758151650428772},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.09974586963653564},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08139026165008545},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibm.2018.8621454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2018.8621454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1500496335","https://openalex.org/W1968188583","https://openalex.org/W1974451338","https://openalex.org/W2002469984","https://openalex.org/W2088441717","https://openalex.org/W2108119513","https://openalex.org/W2113359929","https://openalex.org/W2135029798","https://openalex.org/W2149031002","https://openalex.org/W2158210378","https://openalex.org/W2159514083","https://openalex.org/W2165685007","https://openalex.org/W2168103112","https://openalex.org/W2168784386","https://openalex.org/W2344784208","https://openalex.org/W2567080747","https://openalex.org/W6680012447"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2539013788","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2075222291"],"abstract_inverted_index":{"Non-negative":[0,53],"matrix":[1],"decomposition":[2],"(NMF)":[3],"has":[4,148],"been":[5],"widely":[6],"used":[7],"for":[8],"sample":[9],"clustering":[10,114],"and":[11,37,101,115,133],"feature":[12],"selection":[13,123],"in":[14,39,91],"the":[15,20,30,61,65,73,78,83,92,99,106,109,131,136],"field":[16],"of":[17,32,77,98,108,135],"bioinformatics.":[18],"However,":[19],"existing":[21],"methods":[22],"based":[23],"on":[24,124],"NMF":[25],"cannot":[26],"effectively":[27],"deal":[28],"with":[29],"problem":[31],"intrinsic":[33,74],"geometrical":[34,75],"structure,":[35],"noise,":[36],"outliers":[38],"gene":[40,126],"expression":[41,118,121,127],"data.":[42,81],"In":[43],"this":[44],"paper,":[45],"a":[46],"novel":[47],"method":[48,147],"called":[49],"Robust":[50],"Hypergraph":[51],"regularized":[52],"Matrix":[54],"Factorization":[55],"(RHNMF)":[56],"is":[57,69,89],"proposed":[58,145],"to":[59,71,95,129],"solve":[60],"above":[62],"problem.":[63],"Firstly,":[64],"hypergraph":[66],"Laplacian":[67],"regularization":[68],"introduced":[70],"consider":[72],"structure":[76],"high":[79],"dimension":[80],"Secondly,":[82],"L":[84],"<sub":[85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2,1</sub>":[87],"-norm":[88],"applied":[90],"error":[93],"function":[94],"reduce":[96],"effects":[97],"noise":[100],"outliers,":[102],"which":[103],"may":[104],"improve":[105],"robustness":[107],"algorithm.":[110],"Finally,":[111],"we":[112],"perform":[113],"common":[116],"abnormal":[117],"genes":[119],"(com-abnormal":[120],"genes)":[122],"multi-view":[125],"data":[128],"verify":[130],"rationality":[132],"validity":[134],"RHNMF":[137,146],"method.":[138],"Extensive":[139],"experimental":[140],"results":[141],"demonstrate":[142],"that":[143],"our":[144],"better":[149],"performance":[150],"than":[151],"other":[152],"state-of-the-art":[153],"methods.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}