{"id":"https://openalex.org/W4410428476","doi":"https://doi.org/10.1109/tnse.2025.3571165","title":"Information Equilibrium Maximization Problem in Social Networks Based on Entropy","display_name":"Information Equilibrium Maximization Problem in Social Networks Based on Entropy","publication_year":2025,"publication_date":"2025-05-16","ids":{"openalex":"https://openalex.org/W4410428476","doi":"https://doi.org/10.1109/tnse.2025.3571165"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2025.3571165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2025.3571165","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network 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/A5101605770","display_name":"Runzhi Li","orcid":"https://orcid.org/0000-0001-7259-9321"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Runzhi Li","raw_affiliation_strings":["School of Emergency Management Science and Engineering, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Emergency Management Science and Engineering, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043679164","display_name":"Jianming Zhu","orcid":"https://orcid.org/0000-0001-6987-3967"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianming Zhu","raw_affiliation_strings":["School of Emergency Management Science and Engineering, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Emergency Management Science and Engineering, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100739559","display_name":"Guoqing Wang","orcid":"https://orcid.org/0000-0002-5584-6164"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqing Wang","raw_affiliation_strings":["School of Engineering Science, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Engineering Science, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101605770"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09923806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"5","first_page":"4287","last_page":"4298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9930999875068665,"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":0.9930999875068665,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy-maximization","display_name":"Entropy maximization","score":0.7684624791145325},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6002110242843628},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5822980403900146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5426296591758728},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42026451230049133},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.413467675447464},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3801969885826111},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.34826236963272095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3052837550640106},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19240787625312805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18701741099357605},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11932039260864258}],"concepts":[{"id":"https://openalex.org/C127233936","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Entropy maximization","level":3,"score":0.7684624791145325},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6002110242843628},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5822980403900146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5426296591758728},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42026451230049133},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.413467675447464},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3801969885826111},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.34826236963272095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3052837550640106},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19240787625312805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18701741099357605},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11932039260864258}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2025.3571165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2025.3571165","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5199999809265137,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1495750374","https://openalex.org/W1680189815","https://openalex.org/W1857492477","https://openalex.org/W1966334500","https://openalex.org/W1971937094","https://openalex.org/W1973315504","https://openalex.org/W1995875735","https://openalex.org/W2003827431","https://openalex.org/W2026417691","https://openalex.org/W2035165116","https://openalex.org/W2041157860","https://openalex.org/W2042123098","https://openalex.org/W2056944867","https://openalex.org/W2061820396","https://openalex.org/W2107260313","https://openalex.org/W2114345339","https://openalex.org/W2115826669","https://openalex.org/W2132801025","https://openalex.org/W2141403143","https://openalex.org/W2153877089","https://openalex.org/W2160411082","https://openalex.org/W2169444125","https://openalex.org/W2187996512","https://openalex.org/W2232384272","https://openalex.org/W2294347342","https://openalex.org/W2396832258","https://openalex.org/W2406470551","https://openalex.org/W2569283211","https://openalex.org/W2627064876","https://openalex.org/W2926760107","https://openalex.org/W2963059222","https://openalex.org/W2970690932","https://openalex.org/W2976859544","https://openalex.org/W3010794055","https://openalex.org/W3047443681","https://openalex.org/W3084073868","https://openalex.org/W3101413764","https://openalex.org/W3158448155","https://openalex.org/W3158871177","https://openalex.org/W3172446959","https://openalex.org/W4200470723","https://openalex.org/W4251402169","https://openalex.org/W4253543067","https://openalex.org/W4253746549","https://openalex.org/W4282914797","https://openalex.org/W4282919217","https://openalex.org/W4286254609","https://openalex.org/W4310344321","https://openalex.org/W4324332956","https://openalex.org/W4381888609","https://openalex.org/W4388089359","https://openalex.org/W4390951782","https://openalex.org/W4394862821","https://openalex.org/W4400315678","https://openalex.org/W4402468767","https://openalex.org/W4405755429","https://openalex.org/W4407969525","https://openalex.org/W4409356566"],"related_works":["https://openalex.org/W3102188974","https://openalex.org/W3004810941","https://openalex.org/W4287870705","https://openalex.org/W3199097846","https://openalex.org/W624081655","https://openalex.org/W2951493954","https://openalex.org/W2576492542","https://openalex.org/W1952656308","https://openalex.org/W2073182819","https://openalex.org/W2267645079"],"abstract_inverted_index":{"Personal":[0],"cognition,":[1],"product":[2],"advertising":[3],"and":[4,45,110,123,168,171],"social":[5,93],"recommendations":[6],"are":[7,174],"important":[8],"factors":[9],"to":[10,27,47,80],"develop":[11],"brand":[12,22,41,51],"preferences,":[13],"which":[14],"directly":[15],"influence":[16,186],"consumer":[17],"purchasing":[18],"behaviors.":[19],"A":[20],"diversified":[21],"preference":[23],"landscape":[24],"is":[25,115,121,127,140,165],"conductive":[26],"preventing":[28],"market":[29,34,43,67],"monopolization,":[30],"thus":[31],"promoting":[32],"healthier":[33],"competition.":[35],"The":[36,53],"entry":[37],"of":[38,49,63,97,148,163,181,190],"a":[39,92,98],"new":[40,54,99],"enhances":[42],"diversity":[44],"contributes":[46],"equilibrium":[48,106,135],"consumers'":[50],"preferences.":[52],"entrant":[55],"stimulates":[56],"competitive":[57,82],"responses":[58],"from":[59],"incumbent":[60],"brands":[61,73],"because":[62],"catfish":[64],"effect.":[65],"Then":[66,132],"shares":[68],"undergo":[69],"redistribution":[70],"as":[71,95],"all":[72],"increase":[74],"their":[75],"operational":[76],"vitality":[77],"in":[78,91],"response":[79],"the":[81,104,113,118,124,133,161,179,188],"pressure.":[83],"To":[84],"select":[85],"<inline-formula":[86],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[88],"notation=\"LaTeX\">$k$</tex-math></inline-formula>":[89],"users":[90],"network":[94],"advertisers":[96],"brand,":[100],"this":[101],"paper":[102],"proposes":[103],"information":[105],"maximization":[107,137],"(IEM)":[108],"problem,":[109],"proves":[111],"that":[112],"IEM":[114],"NP-hard,":[116],"computing":[117],"objective":[119,125],"function":[120,126],"#P-hard,":[122],"neither":[128],"modular":[129],"nor":[130],"monotonic.":[131],"entropy-based":[134],"degree":[136],"(EEDM)":[138],"algorithm":[139],"proposed.":[141],"In":[142],"experiments,":[143],"based":[144],"on":[145,187],"three":[146],"methods":[147],"selecting":[149],"seed":[150],"nodes,":[151],"E_qedm":[152],"shows":[153],"its":[154],"superiority.":[155],"It":[156],"has":[157,184],"strong":[158],"robustness":[159],"when":[160],"size":[162],"seedsets":[164],"large":[166],"enough,":[167],"activation":[169],"probability":[170,173],"update":[172],"more":[175],"than":[176],"0.5.":[177],"Besides,":[178],"number":[180],"initial":[182],"preferences":[183],"little":[185],"performance":[189],"E_qedm.":[191]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
