{"id":"https://openalex.org/W2003246010","doi":"https://doi.org/10.1155/2014/786156","title":"Link Prediction via Convex Nonnegative Matrix Factorization on Multiscale Blocks","display_name":"Link Prediction via Convex Nonnegative Matrix Factorization on Multiscale Blocks","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2003246010","doi":"https://doi.org/10.1155/2014/786156","mag":"2003246010"},"language":"en","primary_location":{"id":"doi:10.1155/2014/786156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/786156","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/786156.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/786156.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083542065","display_name":"Enming Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enming Dong","raw_affiliation_strings":["College of Science, National University of Defense Technology, Changsha 410073, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, National University of Defense Technology, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100692320","display_name":"Jianping Li","orcid":"https://orcid.org/0000-0003-2192-1450"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianping Li","raw_affiliation_strings":["College of Science, National University of Defense Technology, Changsha 410073, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, National University of Defense Technology, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047765511","display_name":"Zheng Xie","orcid":"https://orcid.org/0000-0003-0391-8725"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zheng Xie","raw_affiliation_strings":["College of Science, National University of Defense Technology, Changsha 410073, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, National University of Defense Technology, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047765511"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":1.2865,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79085319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9976999759674072,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.991100013256073,"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/block","display_name":"Block (permutation group theory)","score":0.6863716840744019},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5479053854942322},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.541821300983429},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5263342261314392},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5178968906402588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.502879798412323},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.501457691192627},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4903571605682373},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48308709263801575},{"id":"https://openalex.org/keywords/link","display_name":"Link (geometry)","score":0.4821609854698181},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4767802059650421},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.47422075271606445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.465329110622406},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.44125044345855713},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2605886459350586},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14449933171272278}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6863716840744019},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5479053854942322},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.541821300983429},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5263342261314392},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5178968906402588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.502879798412323},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.501457691192627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4903571605682373},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48308709263801575},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.4821609854698181},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4767802059650421},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.47422075271606445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.465329110622406},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.44125044345855713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2605886459350586},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14449933171272278},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/786156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/786156","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/786156.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305913","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305913","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:786156","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/786156.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:0f919f1a92994a5cb1d8a8e65fa8f72b","is_oa":true,"landing_page_url":"https://doaj.org/article/0f919f1a92994a5cb1d8a8e65fa8f72b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/786156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/786156","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/786156.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003246010.pdf","grobid_xml":"https://content.openalex.org/works/W2003246010.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W34646664","https://openalex.org/W155995321","https://openalex.org/W321429746","https://openalex.org/W1556758605","https://openalex.org/W1864134408","https://openalex.org/W1912982817","https://openalex.org/W1971421925","https://openalex.org/W1979104937","https://openalex.org/W1994321911","https://openalex.org/W2003707464","https://openalex.org/W2026417691","https://openalex.org/W2045099409","https://openalex.org/W2077640440","https://openalex.org/W2094234423","https://openalex.org/W2108614537","https://openalex.org/W2109726592","https://openalex.org/W2112090702","https://openalex.org/W2117234597","https://openalex.org/W2118440866","https://openalex.org/W2126185296","https://openalex.org/W2132957436","https://openalex.org/W2154454189","https://openalex.org/W2157082398","https://openalex.org/W2168103112","https://openalex.org/W2420733993","https://openalex.org/W3101413764","https://openalex.org/W3122868618"],"related_works":["https://openalex.org/W2127243424","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","https://openalex.org/W2146544734"],"abstract_inverted_index":{"Low":[0],"rank":[1,98],"matrices":[2,99,132],"approximations":[3,100],"have":[4,40,157],"been":[5],"used":[6],"in":[7,36,110],"link":[8,103],"prediction":[9,87,140],"for":[10,67,102,116],"networks,":[11],"which":[12,43],"are":[13,47],"usually":[14],"global":[15],"optimal":[16],"methods":[17,101],"and":[18,136],"lack":[19],"of":[20,33,107,161],"using":[21],"the":[22,37,95,105,113,128,155],"local":[23,31],"information.":[24],"The":[25,79,142],"block":[26,39,77,129],"structure":[27],"is":[28,109],"a":[29,62,138,158],"significant":[30],"feature":[32],"matrices:":[34],"entities":[35],"same":[38],"similar":[41],"values,":[42],"implies":[44],"that":[45,82,145],"links":[46,70],"more":[48],"likely":[49],"to":[50,60,122],"be":[51],"found":[52],"within":[53],"dense":[54],"blocks.":[55],"We":[56],"use":[57,127],"this":[58,83],"insight":[59],"give":[61,137],"probabilistic":[63],"latent":[64],"variable":[65],"model":[66],"finding":[68],"missing":[69,162],"by":[71],"convex":[72],"nonnegative":[73],"matrix":[74],"factorization":[75],"with":[76,112],"detection.":[78],"experiments":[80,143],"show":[81,144],"method":[84,91,153],"gives":[85,147],"better":[86,148],"accuracy":[88],"than":[89,150],"original":[90,96],"alone.":[92],"Different":[93],"from":[94],"low":[97],"prediction,":[104],"sparseness":[106],"solutions":[108],"accord":[111],"sparse":[114],"property":[115],"most":[117],"real":[118],"complex":[119],"networks.":[120],"Scaling":[121],"massive":[123],"size":[124],"network,":[125],"we":[126],"information":[130],"mapping":[131],"onto":[133],"distributed":[134],"architectures":[135],"divide-and-conquer":[139],"method.":[141],"it":[146],"results":[149],"common":[151],"neighbors":[152],"when":[154],"networks":[156],"large":[159],"number":[160],"links.":[163]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}