{"id":"https://openalex.org/W4312893128","doi":"https://doi.org/10.1109/access.2022.3218631","title":"Searching for Heavy-Tailed Probability Distributions for Modeling Real-World Complex Networks","display_name":"Searching for Heavy-Tailed Probability Distributions for Modeling Real-World Complex Networks","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312893128","doi":"https://doi.org/10.1109/access.2022.3218631"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3218631","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218631","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09933754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09933754.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012926469","display_name":"Tanujit Chakraborty","orcid":"https://orcid.org/0000-0002-3479-2187"},"institutions":[{"id":"https://openalex.org/I181514455","display_name":"International Institute of Information Technology Bangalore","ror":"https://ror.org/05h9eqy10","country_code":"IN","type":"education","lineage":["https://openalex.org/I181514455"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210141120","display_name":"Sorbonne University Abu Dhabi","ror":"https://ror.org/03e1ymy32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210141120"]}],"countries":["AE","FR","IN"],"is_corresponding":true,"raw_author_name":"Tanujit Chakraborty","raw_affiliation_strings":["Department of Science and Engineering, Sorbonne University Abu Dhabi, Abu Dhabi, United Arab Emirates","Spatial Computing Laboratory, Center for Data Sciences, International Institute of Information Technology Bangalore, India"],"raw_orcid":"https://orcid.org/0000-0002-3479-2187","affiliations":[{"raw_affiliation_string":"Department of Science and Engineering, Sorbonne University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I4210141120","https://openalex.org/I39804081"]},{"raw_affiliation_string":"Spatial Computing Laboratory, Center for Data Sciences, International Institute of Information Technology Bangalore, India","institution_ids":["https://openalex.org/I181514455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101546872","display_name":"Swarup Chattopadhyay","orcid":"https://orcid.org/0000-0003-3226-0416"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Swarup Chattopadhyay","raw_affiliation_strings":["Machine Intelligence Unit, Indian Statistical Institute, Kolkata, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Machine Intelligence Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035108817","display_name":"Suchismita Das","orcid":"https://orcid.org/0000-0002-9380-6235"},"institutions":[{"id":"https://openalex.org/I106826634","display_name":"Jain University","ror":"https://ror.org/01cnqpt53","country_code":"IN","type":"education","lineage":["https://openalex.org/I106826634"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Suchismita Das","raw_affiliation_strings":["Department of Data Science, S P Jain School of Global Management, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0002-9380-6235","affiliations":[{"raw_affiliation_string":"Department of Data Science, S P Jain School of Global Management, Mumbai, India","institution_ids":["https://openalex.org/I106826634"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033589278","display_name":"Uttam Kumar","orcid":"https://orcid.org/0000-0002-0822-7993"},"institutions":[{"id":"https://openalex.org/I181514455","display_name":"International Institute of Information Technology Bangalore","ror":"https://ror.org/05h9eqy10","country_code":"IN","type":"education","lineage":["https://openalex.org/I181514455"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Uttam Kumar","raw_affiliation_strings":["Spatial Computing Laboratory, Center for Data Sciences, International Institute of Information Technology Bangalore, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Spatial Computing Laboratory, Center for Data Sciences, International Institute of Information Technology Bangalore, Bengaluru, India","institution_ids":["https://openalex.org/I181514455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083824197","display_name":"J. Senthilnath","orcid":"https://orcid.org/0000-0002-1737-7985"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"J. Senthilnath","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research, Fusionopolis, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-1737-7985","affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research, Fusionopolis, Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5012926469"],"corresponding_institution_ids":["https://openalex.org/I181514455","https://openalex.org/I39804081","https://openalex.org/I4210141120"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0011,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75989895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":null,"first_page":"115092","last_page":"115107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9842000007629395,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9782999753952026,"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/degree-distribution","display_name":"Degree distribution","score":0.6283871531486511},{"id":"https://openalex.org/keywords/heavy-tailed-distribution","display_name":"Heavy-tailed distribution","score":0.5884901285171509},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.5722641348838806},{"id":"https://openalex.org/keywords/extreme-value-theory","display_name":"Extreme value theory","score":0.5121109485626221},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4765539765357971},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4601403474807739},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4252273440361023},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.42259377241134644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41262978315353394},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.387687623500824},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.348449170589447},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3133198618888855},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11460164189338684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08735761046409607}],"concepts":[{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.6283871531486511},{"id":"https://openalex.org/C1602530","wikidata":"https://www.wikidata.org/wiki/Q1472677","display_name":"Heavy-tailed distribution","level":3,"score":0.5884901285171509},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.5722641348838806},{"id":"https://openalex.org/C147581598","wikidata":"https://www.wikidata.org/wiki/Q729429","display_name":"Extreme value theory","level":2,"score":0.5121109485626221},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4765539765357971},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4601403474807739},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4252273440361023},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.42259377241134644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41262978315353394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.387687623500824},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.348449170589447},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3133198618888855},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11460164189338684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08735761046409607},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2022.3218631","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218631","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09933754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03955342v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-03955342","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, 2022, 10, pp.115092-115107. &#x27E8;10.1109/ACCESS.2022.3218631&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:d351fb9077e44321a6c0742dd4f2c7ab","is_oa":true,"landing_page_url":"https://doaj.org/article/d351fb9077e44321a6c0742dd4f2c7ab","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":"IEEE Access, Vol 10, Pp 115092-115107 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3218631","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218631","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09933754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312893128.pdf","grobid_xml":"https://content.openalex.org/works/W4312893128.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W317374133","https://openalex.org/W638149299","https://openalex.org/W1972309850","https://openalex.org/W1982442837","https://openalex.org/W1994687138","https://openalex.org/W1996068192","https://openalex.org/W2000042664","https://openalex.org/W2008620264","https://openalex.org/W2019199024","https://openalex.org/W2021721740","https://openalex.org/W2038941270","https://openalex.org/W2048596679","https://openalex.org/W2065769502","https://openalex.org/W2073544710","https://openalex.org/W2091656757","https://openalex.org/W2104085672","https://openalex.org/W2117688908","https://openalex.org/W2120062331","https://openalex.org/W2123736933","https://openalex.org/W2124637492","https://openalex.org/W2125315567","https://openalex.org/W2129934604","https://openalex.org/W2133131640","https://openalex.org/W2148606196","https://openalex.org/W2150208547","https://openalex.org/W2151187166","https://openalex.org/W2154923088","https://openalex.org/W2160176524","https://openalex.org/W2170531028","https://openalex.org/W2186296053","https://openalex.org/W2586543748","https://openalex.org/W2766498431","https://openalex.org/W2784007581","https://openalex.org/W2890368848","https://openalex.org/W2897382017","https://openalex.org/W2899923712","https://openalex.org/W2919497868","https://openalex.org/W2950627632","https://openalex.org/W2964246775","https://openalex.org/W2995407544","https://openalex.org/W3034343267","https://openalex.org/W3040137689","https://openalex.org/W3085766793","https://openalex.org/W3093054546","https://openalex.org/W3103967557","https://openalex.org/W3104584911","https://openalex.org/W3106229140","https://openalex.org/W3113882675","https://openalex.org/W3117650934","https://openalex.org/W3135506006","https://openalex.org/W3139031956","https://openalex.org/W3147138239","https://openalex.org/W3152683632","https://openalex.org/W3159133710","https://openalex.org/W3165034185","https://openalex.org/W3204040631","https://openalex.org/W4220959954","https://openalex.org/W4281695532","https://openalex.org/W4281751407","https://openalex.org/W4283019518","https://openalex.org/W4295289024","https://openalex.org/W4298127394","https://openalex.org/W6686806386","https://openalex.org/W6733152169"],"related_works":["https://openalex.org/W2944759572","https://openalex.org/W2082867051","https://openalex.org/W2015363435","https://openalex.org/W1545569367","https://openalex.org/W2340973114","https://openalex.org/W2088554646","https://openalex.org/W2024447004","https://openalex.org/W2058532765","https://openalex.org/W2069442775","https://openalex.org/W2555808311"],"abstract_inverted_index":{"Perhaps":[0],"the":[1,36,64,67,77,91,99,106,139,158,176,188,205,210,226,230,237,267],"most":[2],"recent":[3],"controversial":[4],"topic":[5],"in":[6,89,110,246],"network":[7],"science":[8],"research":[9],"is":[10,95],"to":[11,98,124,156,175,209,262,272],"determine":[12],"whether":[13],"real-world":[14,40,71,239,244],"complex":[15,50,78,116,144,182,240],"networks":[16,41,73,241,269],"are":[17,42,60,199,258],"scale-free":[18,68],"or":[19],"not.":[20],"Recently,":[21],"Broido":[22],"and":[23,57,172,195],"Clauset":[24],"[A.D.":[25],"Broido,":[26],"A.":[27],"Clauset,":[28],"Nature":[29],"Communication,":[30],"10,":[31],"1017":[32],"(2019)]":[33],"asserted":[34],"that":[35,255],"degree":[37,92,108,141,179],"distributions":[38,136,142,168,234,257],"of":[39,70,85,101,114,133,143,151,160,181,187,212,214,229,233,266],"rarely":[43],"power":[44,86],"law":[45,87],"under":[46],"statistical":[47,185,197],"tests.":[48],"Such":[49],"networks,":[51,59],"including":[52],"social,":[53],"biological,":[54],"information,":[55],"temporal,":[56],"brain":[58],"often":[61],"heavy-tailed":[62,72,117,134,162,218,238],"where":[63],"assumption":[65],"on":[66],"nature":[69],"become":[74],"insignificant":[75],"as":[76,192],"system":[79],"evolves":[80],"over":[81,242],"time.":[82],"The":[83],"failure":[84],"distribution":[88,93,109,180],"fitting":[90,171,236],"data":[94],"mainly":[96],"due":[97],"presence":[100],"an":[102],"identifiable":[103],"non-linearity":[104,159],"within":[105],"entire":[107,140,177],"a":[111,115,130,148,217],"log-log":[112],"scale":[113],"network.":[118],"In":[119],"this":[120,126,202],"study,":[121],"we":[122],"attempt":[123],"address":[125],"issue":[127],"by":[128],"proposing":[129],"new":[131,149],"class":[132],"probability":[135,250,274],"for":[137],"modeling":[138],"networks.":[145,163,183],"We":[146],"introduce":[147],"family":[150,207,232],"generalized":[152],"Lomax":[153],"models":[154],"(GLM)":[155],"capture":[157],"these":[161],"These":[164],"newly":[165],"introduced":[166],"GLM-type":[167,256],"provide":[169],"better":[170],"greater":[173],"flexibility":[174],"node":[178],"Several":[184],"properties":[186],"proposed":[189,231],"model,":[190],"such":[191],"extreme":[193,219],"value":[194,220],"inferential":[196],"properties,":[198],"derived":[200],"into":[201],"context.":[203],"Interestingly,":[204],"GLM":[206],"belongs":[208],"basin":[211],"attraction":[213],"Frechet":[215],"distribution,":[216],"distribution.":[221],"Rigorous":[222],"experimental":[223],"analysis":[224],"showcases":[225],"excellent":[227],"performance":[228],"while":[235],"fifty":[243],"datasets":[245],"comparison":[247],"with":[248],"benchmark":[249,273],"models.":[251,275],"Our":[252],"results":[253],"show":[254],"not":[259],"rare,":[260],"able":[261],"model":[263],"almost":[264],"90%":[265],"tested":[268],"accurately":[270],"compared":[271]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
