{"id":"https://openalex.org/W4327662601","doi":"https://doi.org/10.1109/tase.2023.3240335","title":"Symmetry and Graph Bi-Regularized Non-Negative Matrix Factorization for Precise Community Detection","display_name":"Symmetry and Graph Bi-Regularized Non-Negative Matrix Factorization for Precise Community Detection","publication_year":2023,"publication_date":"2023-03-16","ids":{"openalex":"https://openalex.org/W4327662601","doi":"https://doi.org/10.1109/tase.2023.3240335"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3240335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3240335","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5010873564","display_name":"Zhigang Liu","orcid":"https://orcid.org/0000-0002-3669-3764"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhigang Liu","raw_affiliation_strings":["College of Computer and Information Science, Southwest University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Computer and Information Science, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088955392","display_name":"Xin Luo","orcid":"https://orcid.org/0000-0002-1348-5305"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Luo","raw_affiliation_strings":["College of Computer and Information Science, Southwest University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Computer and Information Science, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081318069","display_name":"MengChu Zhou","orcid":"https://orcid.org/0000-0002-5408-8752"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mengchu Zhou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ, USA","institution_ids":["https://openalex.org/I118118575"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010873564"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":7.6894,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.98119583,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"21","issue":"2","first_page":"1406","last_page":"1420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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":0.993399977684021,"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/T11550","display_name":"Text and Document Classification Technologies","score":0.9894000291824341,"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/matrix-decomposition","display_name":"Matrix decomposition","score":0.6325967311859131},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.544579803943634},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5365830063819885},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.461361825466156},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4547123908996582},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4483828544616699},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4397468864917755},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.41453471779823303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3840775489807129},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36389124393463135},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3535997271537781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3402177691459656},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32248327136039734},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2768558859825134},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.21915581822395325},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12532630562782288}],"concepts":[{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6325967311859131},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.544579803943634},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5365830063819885},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.461361825466156},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4547123908996582},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4483828544616699},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4397468864917755},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.41453471779823303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3840775489807129},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36389124393463135},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3535997271537781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3402177691459656},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32248327136039734},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2768558859825134},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.21915581822395325},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12532630562782288},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2023.3240335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3240335","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G8515641209","display_name":null,"funder_award_id":"62272078","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W1817993605","https://openalex.org/W1888005072","https://openalex.org/W1966286510","https://openalex.org/W1971421925","https://openalex.org/W1987515125","https://openalex.org/W1995996823","https://openalex.org/W2042831537","https://openalex.org/W2047427859","https://openalex.org/W2050601254","https://openalex.org/W2063929853","https://openalex.org/W2067931421","https://openalex.org/W2089391273","https://openalex.org/W2108119513","https://openalex.org/W2119571791","https://openalex.org/W2127048411","https://openalex.org/W2132202037","https://openalex.org/W2132538571","https://openalex.org/W2151936673","https://openalex.org/W2154851992","https://openalex.org/W2158842967","https://openalex.org/W2187089797","https://openalex.org/W2288457463","https://openalex.org/W2386531825","https://openalex.org/W2469279958","https://openalex.org/W2476291847","https://openalex.org/W2571268788","https://openalex.org/W2580917121","https://openalex.org/W2604942799","https://openalex.org/W2605489464","https://openalex.org/W2767834929","https://openalex.org/W2782630728","https://openalex.org/W2793868694","https://openalex.org/W2794141977","https://openalex.org/W2794871256","https://openalex.org/W2802815569","https://openalex.org/W2803978698","https://openalex.org/W2806781084","https://openalex.org/W2829536470","https://openalex.org/W2897979119","https://openalex.org/W2914506472","https://openalex.org/W2917532348","https://openalex.org/W2921756693","https://openalex.org/W2951271819","https://openalex.org/W2963013895","https://openalex.org/W2963415778","https://openalex.org/W2964437776","https://openalex.org/W2966515423","https://openalex.org/W2971287768","https://openalex.org/W2973087688","https://openalex.org/W2975802621","https://openalex.org/W2985207252","https://openalex.org/W2997546679","https://openalex.org/W3019396605","https://openalex.org/W3024536663","https://openalex.org/W3044289804","https://openalex.org/W3047753861","https://openalex.org/W3086220804","https://openalex.org/W3094071795","https://openalex.org/W3102641634","https://openalex.org/W3104097132","https://openalex.org/W3109825681","https://openalex.org/W3110116780","https://openalex.org/W3118283916","https://openalex.org/W3118327669","https://openalex.org/W3123160711","https://openalex.org/W3126033509","https://openalex.org/W3153539640","https://openalex.org/W3189345586","https://openalex.org/W3199160981","https://openalex.org/W3203878108","https://openalex.org/W4206408640","https://openalex.org/W4226138216","https://openalex.org/W4283716336","https://openalex.org/W4289654393","https://openalex.org/W6680012447"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2069570686"],"abstract_inverted_index":{"Community":[0,14],"is":[1,16,24,40,148,254,345],"a":[2,9,17,33,49,64,75,85,112,213,231,241,250,280,297],"fundamental":[3],"and":[4,31,35,87,131,194,274,355],"highly":[5,349],"desired":[6],"pattern":[7],"in":[8,169,197,209,218],"Large-scale":[10],"Undirected":[11],"Network":[12],"(LUN).":[13],"detection":[15,201,267,354],"vital":[18,221],"issue":[19],"when":[20,101],"LUN":[21,316],"representation":[22,71,107,237,259,294],"learning":[23,72,108,138,238,260],"performed.":[25],"Owing":[26],"to":[27,43,63,74,150,204,240,256,261,296,347],"its":[28,70,122,137,235,285,292,318],"good":[29],"scalability":[30],"interpretability,":[32],"Symmetric":[34,273],"Non-negative":[36,90,275],"Matrix":[37,91,276],"Factorization":[38,92],"model":[39,163,252,344],"frequently":[41],"utilized":[42],"tackle":[44],"this":[45,80,82,247],"issue.":[46],"It":[47,300],"adopts":[48],"unique":[50],"Latent":[51],"Factor":[52],"(LF)":[53],"matrix":[54],"for":[55,222,351],"precisely":[56],"representing":[57,102],"LUN\u2019s":[58,128,142],"symmetry,":[59],"which,":[60],"unfortunately,":[61],"leads":[62],"reduced":[65],"LF":[66,99,124],"space":[67],"that":[68,116,184,253],"decreases":[69],"ability":[73,239,295],"target":[76,242,298,315],"LUN.":[77,243,299],"Motivated":[78],"by":[79,161,310],"discovery,":[81],"study":[83],"proposes":[84],"Symmetry":[86],"Graph":[88],"Bi-regularized":[89],"(B-NMF)":[93],"method":[94],"that:":[95],"a)":[96],"leverages":[97],"multiple":[98,123],"matrices":[100],"LUN,":[103],"thereby":[104,126,140,165,263],"boosting":[105],"the":[106,118,185,314,324,333,337],"ability;":[109],"b)":[110],"constructs":[111],"symmetry":[113],"regularization":[114,135,157,304,329],"term":[115],"implies":[117],"equality":[119],"constraint":[120],"among":[121],"matrices,":[125],"illustrating":[127,141],"intrinsic":[129],"symmetry;":[130],"c)":[132],"incorporates":[133],"graph":[134],"into":[136],"objective,":[139],"local":[143],"geometry.":[144],"A":[145],"theoretical":[146],"proof":[147],"given":[149],"theoretically":[151],"validate":[152],"B-NMF\u2019s":[153,167,328],"convergence":[154],"ability.":[155],"The":[156,341],"hyperparameters":[158,330],"are":[159,206,220],"selected":[160,309],"validating":[162],"modularity,":[164],"guaranteeing":[166],"practicability":[168],"addressing":[170,352],"real":[171,181,210,361],"application":[172],"issues.":[173],"Extensive":[174],"experimental":[175,339],"results":[176],"on":[177,302,313,332,336,358],"ten":[178],"LUNs":[179,219,359],"from":[180,360],"applications":[182,211],"demonstrate":[183],"proposed":[186,342],"B-NMF-based":[187,281],"community":[188,200,266,278,282,353],"detector":[189,232,283],"significantly":[190],"outperforms":[191],"several":[192],"baseline":[193],"state-of-the-art":[195],"models":[196],"achieving":[198,264],"highly-accurate":[199],"results.":[202,268],"Note":[203],"Practitioners\u2014LUNs":[205],"very-commonly":[207],"seen":[208],"like":[212],"social":[214],"network":[215],"system.":[216],"Communities":[217],"various":[223],"knowledge":[224],"discovery-related":[225],"applications.":[226,362],"For":[227],"accurately":[228],"detecting":[229],"them,":[230],"should":[233],"guarantee":[234],"high":[236],"To":[244],"do":[245],"so,":[246],"paper":[248,322],"presents":[249],"B-NMF":[251,343],"able":[255],"perform":[257],"precise":[258],"LUNs,":[262],"accurate":[265],"In":[269],"comparison":[270],"with":[271],"conventional":[272],"Factorization-based":[277],"detectors,":[279],"enjoys":[284],"enlarged":[286],"latent":[287],"feature":[288],"space,":[289],"which":[290,306],"ensures":[291],"higher":[293],"depends":[301],"two":[303],"hyperparameters,":[305],"can":[307],"be":[308,348],"performing":[311],"grid-search":[312],"via":[317],"modularity":[319],"evaluation.":[320],"This":[321],"gives":[323],"empirical":[325],"values":[326],"of":[327],"based":[331],"parametersensitivity":[334],"tests":[335],"involved":[338],"datasets.":[340],"shown":[346],"suitable":[350],"clustering":[356],"tasks":[357]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
