{"id":"https://openalex.org/W3017915781","doi":"https://doi.org/10.1109/tkde.2020.2989301","title":"VERTICOX: Vertically Distributed Cox Proportional Hazards Model Using the Alternating Direction Method of Multipliers","display_name":"VERTICOX: Vertically Distributed Cox Proportional Hazards Model Using the Alternating Direction Method of Multipliers","publication_year":2020,"publication_date":"2020-04-22","ids":{"openalex":"https://openalex.org/W3017915781","doi":"https://doi.org/10.1109/tkde.2020.2989301","mag":"3017915781","pmid":"https://pubmed.ncbi.nlm.nih.gov/36158636"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2020.2989301","doi":"https://doi.org/10.1109/tkde.2020.2989301","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2020.2989301","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","fnege-3","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9491599","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045342512","display_name":"Wenrui Dai","orcid":"https://orcid.org/0000-0003-2522-5778","observed_orcids":["https://orcid.org/0000-0003-2522-5778"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenrui Dai","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2522-5778","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055458864","display_name":"Xiaoqian Jiang","orcid":"https://orcid.org/0000-0001-9933-2205","observed_orcids":["https://orcid.org/0000-0001-9933-2205","https://orcid.org/0009-0000-0712-2164","https://orcid.org/0009-0008-7614-6117"]},"institutions":[{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoqian Jiang","raw_affiliation_strings":["School of Biomedical Informatics, University of Texas Health Science Center at Houston (UTHealth), Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Biomedical Informatics, University of Texas Health Science Center at Houston (UTHealth), Houston, TX, USA","institution_ids":["https://openalex.org/I919571938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037726682","display_name":"Luca Bonomi","orcid":"https://orcid.org/0000-0002-5751-1341","observed_orcids":["https://orcid.org/0000-0002-5751-1341"]},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luca Bonomi","raw_affiliation_strings":["UCSD Health Department of Biomedical Informatics, University of California San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-5751-1341","affiliations":[{"raw_affiliation_string":"UCSD Health Department of Biomedical Informatics, University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063326455","display_name":"Yong Li","orcid":"https://orcid.org/0000-0001-7551-1137","observed_orcids":["https://orcid.org/0000-0001-7551-1137"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Li","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-7551-1137","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002494284","display_name":"Hongkai Xiong","orcid":"https://orcid.org/0000-0003-4552-0029","observed_orcids":["https://orcid.org/0000-0003-4552-0029"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongkai Xiong","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-4552-0029","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084415954","display_name":"Lucila Ohno\u2010Machado","orcid":"https://orcid.org/0000-0002-8005-7327","observed_orcids":["https://orcid.org/0000-0002-8005-7327"]},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lucila Ohno-Machado","raw_affiliation_strings":["UCSD Health Department of Biomedical Informatics, University of California San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCSD Health Department of Biomedical Informatics, University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":1.6106,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.86268371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"34","issue":"2","first_page":"996","last_page":"1010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9926999807357788,"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"}},"topics":[{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9926999807357788,"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/T10136","display_name":"Statistical Methods and Inference","score":0.00570000009611249,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.00019999999494757503,"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/cox-proportional-hazards-model","display_name":"Cox proportional hazards model","score":0.9829999804496765},{"id":"https://openalex.org/keywords/federated-learning","display_name":"federated learning","score":0.9399999976158142},{"id":"https://openalex.org/keywords/vertical-partitioning","display_name":"vertical partitioning","score":0.8159999847412109},{"id":"https://openalex.org/keywords/alternating-direction-method-of-multipliers","display_name":"alternating direction method of multipliers","score":0.8379999995231628},{"id":"https://openalex.org/keywords/distributed-parameter-estimation","display_name":"distributed parameter estimation","score":0.75},{"id":"https://openalex.org/keywords/survival-analysis","display_name":"survival analysis","score":0.9200000166893005},{"id":"https://openalex.org/keywords/privacy-preserving-data-sharing","display_name":"privacy-preserving data sharing","score":0.7689999938011169},{"id":"https://openalex.org/keywords/communication-efficiency","display_name":"communication efficiency","score":0.6179999709129333}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7622473239898682},{"id":"https://openalex.org/C50382708","wikidata":"https://www.wikidata.org/wiki/Q223218","display_name":"Proportional hazards model","level":2,"score":0.6082816123962402},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5282933712005615},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5090708136558533},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.451347291469574},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.4156852960586548},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.4134572744369507},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3889597952365875},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22286397218704224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15830999612808228},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tkde.2020.2989301","doi":"https://doi.org/10.1109/tkde.2020.2989301","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2020.2989301","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","fnege-3","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"},{"id":"pmid:36158636","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36158636","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on knowledge and data engineering","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9491599","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9491599","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Knowl Data Eng","raw_type":"Text"},{"id":"pmh:oai:digitalcommons.library.tmc.edu:uthshis_docs-1476","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.library.tmc.edu/uthshis_docs/485","pdf_url":null,"source":{"id":"https://openalex.org/S4377196655","display_name":"Digital Commons-TMC (Texas Medical Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1337852284","host_organization_name":"Texas Medical Center","host_organization_lineage":["https://openalex.org/I1337852284"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty, Staff and Student Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:9491599","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9491599","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Knowl Data Eng","raw_type":"Text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1358730947","display_name":"Privacy-preserving methods and tools for handling missing data in distributed health data networks","funder_award_id":"R01GM124111","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G1650495540","display_name":null,"funder_award_id":"R01GM012862","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3438946646","display_name":null,"funder_award_id":"61932022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3628871441","display_name":null,"funder_award_id":"61720106001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4073300813","display_name":null,"funder_award_id":"R01GM118609","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G5326461368","display_name":null,"funder_award_id":"61971285","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5648466737","display_name":null,"funder_award_id":"K99HG010493","funder_id":"https://openalex.org/F4320337348","funder_display_name":"National Human Genome Research Institute"},{"id":"https://openalex.org/G9000105665","display_name":null,"funder_award_id":"R01GM118609","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G9000251183","display_name":null,"funder_award_id":"K99HG010493","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320313675","display_name":"University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337348","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W6162803","https://openalex.org/W157583320","https://openalex.org/W199752024","https://openalex.org/W1484769234","https://openalex.org/W1553365534","https://openalex.org/W1786407144","https://openalex.org/W1923365686","https://openalex.org/W1946622722","https://openalex.org/W1966992934","https://openalex.org/W1979816698","https://openalex.org/W1981029888","https://openalex.org/W1986187671","https://openalex.org/W1992190287","https://openalex.org/W1992926795","https://openalex.org/W2005060666","https://openalex.org/W2010546090","https://openalex.org/W2011603313","https://openalex.org/W2022057104","https://openalex.org/W2053801139","https://openalex.org/W2066370537","https://openalex.org/W2111178784","https://openalex.org/W2112340198","https://openalex.org/W2123705108","https://openalex.org/W2124478641","https://openalex.org/W2132291180","https://openalex.org/W2151565294","https://openalex.org/W2157440718","https://openalex.org/W2163867637","https://openalex.org/W2165960214","https://openalex.org/W2231156824","https://openalex.org/W2249520589","https://openalex.org/W2324805613","https://openalex.org/W2473418344","https://openalex.org/W2783522756","https://openalex.org/W2787894218","https://openalex.org/W2797851444","https://openalex.org/W2911978475","https://openalex.org/W2963999993","https://openalex.org/W2992688572","https://openalex.org/W3147894994","https://openalex.org/W4292363360","https://openalex.org/W6606354837","https://openalex.org/W6629002347","https://openalex.org/W6675846804","https://openalex.org/W6676639149","https://openalex.org/W6676661094","https://openalex.org/W6679384156"],"related_works":["https://openalex.org/W2289718384","https://openalex.org/W1995675544","https://openalex.org/W2509524819","https://openalex.org/W3127866798","https://openalex.org/W2068427817","https://openalex.org/W4294845631","https://openalex.org/W2952090425","https://openalex.org/W2012121796","https://openalex.org/W2538333368","https://openalex.org/W2043546065"],"abstract_inverted_index":{"The":[0,71,112,169],"Cox":[1,25],"proportional":[2,26],"hazards":[3,27],"model":[4,9,28,55,73,84,102,146],"is":[5,174],"a":[6,20,46,58],"popular":[7],"semi-parametric":[8],"for":[10,23,98,172],"survival":[11,152],"analysis.":[12],"In":[13],"this":[14],"paper,":[15],"we":[16],"aim":[17],"at":[18,41],"developing":[19],"federated":[21,151],"algorithm":[22,94,114],"the":[24,36,53,63,82,99,118,133],"over":[29,154],"vertically":[30,155],"partitioned":[31],"data":[32,34,157],"(i.e.,":[33],"from":[35],"same":[37],"patient":[38],"are":[39,127],"stored":[40],"different":[42],"institutions).":[43],"We":[44,90],"propose":[45],"novel":[47],"algorithm,":[48],"namely":[49],"VERTICOX,":[50],"to":[51,80,106,149],"obtain":[52],"global":[54,83],"parameters":[56,103],"in":[57],"distributed":[59,156],"fashion":[60],"based":[61],"on":[62],"Alternating":[64],"Direction":[65],"Method":[66],"of":[67,101,108,135,164],"Multipliers":[68],"(ADMM)":[69],"framework.":[70,120],"proposed":[72,113],"computes":[74],"intermediary":[75],"statistics":[76,105],"and":[77,104,124,129,161],"exchanges":[78],"them":[79],"calculate":[81],"without":[85],"collecting":[86],"individual":[87,167],"patient-level":[88],"data.":[89],"demonstrate":[91],"that":[92,107,141],"our":[93],"achieves":[95],"equivalent":[96],"accuracy":[97],"estimation":[100,148],"its":[109],"centralized":[110],"realization.":[111],"converges":[115],"linearly":[116,130],"under":[117],"ADMM":[119],"Its":[121],"computational":[122],"complexity":[123],"communication":[125],"costs":[126],"polynomially":[128],"associated":[131],"with":[132],"number":[134],"subjects,":[136],"respectively.":[137],"Experimental":[138],"results":[139],"show":[140],"VERTICOX":[142,173],"can":[143],"achieve":[144],"accurate":[145],"parameter":[147],"support":[150],"analysis":[153],"by":[158],"saving":[159],"bandwidth":[160],"avoiding":[162],"exchange":[163],"information":[165],"about":[166],"patients.":[168],"source":[170],"code":[171],"available":[175],"at:":[176],"https://github.com/daiwenrui/VERTICOX.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":3}],"updated_date":"2026-10-15T10:00:46.086208","created_date":"2025-10-10T00:00:00"}
