{"id":"https://openalex.org/W4402742350","doi":"https://doi.org/10.1109/ojcoms.2024.3466225","title":"Toward Explainable Reasoning in 6G: A Proof of Concept Study on Radio Resource Allocation","display_name":"Toward Explainable Reasoning in 6G: A Proof of Concept Study on Radio Resource Allocation","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402742350","doi":"https://doi.org/10.1109/ojcoms.2024.3466225"},"language":"en","primary_location":{"id":"doi:10.1109/ojcoms.2024.3466225","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ojcoms.2024.3466225","pdf_url":null,"source":{"id":"https://openalex.org/S4210202420","display_name":"IEEE Open Journal of the Communications Society","issn_l":"2644-125X","issn":["2644-125X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications 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 Open Journal of the Communications Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/ojcoms.2024.3466225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028255474","display_name":"Farhad Rezazadeh","orcid":"https://orcid.org/0000-0001-8992-8152"},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Farhad Rezazadeh","raw_affiliation_strings":["Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]},{"raw_affiliation_string":"Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113396510","display_name":"Sergio Barrachina-Mu noz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergio Barrachina-Mu\u00f1oz","raw_affiliation_strings":["Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]},{"raw_affiliation_string":"Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037864108","display_name":"Hatim Chergui","orcid":"https://orcid.org/0000-0003-1061-7349"},"institutions":[{"id":"https://openalex.org/I4210130845","display_name":"i2CAT","ror":"https://ror.org/02rkks755","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210130845","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Hatim Chergui","raw_affiliation_strings":["Department of Software Networks, i2CAT Foundation, Barcelona, Spain","i2CAT Foundation, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Software Networks, i2CAT Foundation, Barcelona, Spain","institution_ids":["https://openalex.org/I4210130845"]},{"raw_affiliation_string":"i2CAT Foundation, Barcelona, Spain","institution_ids":["https://openalex.org/I4210130845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113396511","display_name":"Josep Mangues","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Josep Mangues","raw_affiliation_strings":["Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Services as NetworkS, Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]},{"raw_affiliation_string":"Centre Tecnol&#x00F3;gic de Telecomunicacions de Catalunya (CTTC), Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061429095","display_name":"Mehdi Bennis","orcid":"https://orcid.org/0000-0003-0261-0171"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Mehdi Bennis","raw_affiliation_strings":["Centre for Wireless Communications, University of Oulu, Oulu, Finland","University of Oulu, Oulu, Finland"],"affiliations":[{"raw_affiliation_string":"Centre for Wireless Communications, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]},{"raw_affiliation_string":"University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091266202","display_name":"Dusit Niyato","orcid":"https://orcid.org/0000-0002-7442-7416"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Dusit Niyato","raw_affiliation_strings":["College of Computing and Data Science, Nanyang Technological University, Nanyang Avenue, Singapore"],"affiliations":[{"raw_affiliation_string":"College of Computing and Data Science, Nanyang Technological University, Nanyang Avenue, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079301418","display_name":"Houbing Song","orcid":"https://orcid.org/0000-0003-2631-9223"},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Houbing Song","raw_affiliation_strings":["Department of Information Systems, University of Maryland, Baltimore County, Baltimore, MD, USA","University of Maryland, Baltimore County (UMBC), Baltimore, USA"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems, University of Maryland, Baltimore County, Baltimore, MD, USA","institution_ids":["https://openalex.org/I79272384"]},{"raw_affiliation_string":"University of Maryland, Baltimore County (UMBC), Baltimore, USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027237940","display_name":"Lingjia Liu","orcid":"https://orcid.org/0000-0003-1915-1784"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lingjia Liu","raw_affiliation_strings":["Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA, USA","Virginia Tech, Blacksburg, USA"],"affiliations":[{"raw_affiliation_string":"Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Virginia Tech, Blacksburg, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5028255474"],"corresponding_institution_ids":["https://openalex.org/I4210087295"],"apc_list":{"value":1750,"currency":"USD","value_usd":1750},"apc_paid":{"value":1750,"currency":"USD","value_usd":1750},"fwci":12.9894,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.98681968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"5","issue":null,"first_page":"6239","last_page":"6260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14347","display_name":"Big Data and Digital Economy","score":0.7236999869346619,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T14347","display_name":"Big Data and Digital Economy","score":0.7236999869346619,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.6450999975204468,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/proof-of-concept","display_name":"Proof of concept","score":0.7226699590682983},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.5237308144569397},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5121777057647705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5109202265739441},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10122412443161011}],"concepts":[{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.7226699590682983},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.5237308144569397},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5121777057647705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5109202265739441},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10122412443161011},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ojcoms.2024.3466225","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ojcoms.2024.3466225","pdf_url":null,"source":{"id":"https://openalex.org/S4210202420","display_name":"IEEE Open Journal of the Communications Society","issn_l":"2644-125X","issn":["2644-125X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications 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 Open Journal of the Communications Society","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:81ed957af4ce4e7a82b159a7f98e45fb","is_oa":true,"landing_page_url":"https://doaj.org/article/81ed957af4ce4e7a82b159a7f98e45fb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Open Journal of the Communications Society, Vol 5, Pp 6239-6260 (2024)","raw_type":"article"},{"id":"pmh:oai:zenodo.org:17337822","is_oa":true,"landing_page_url":"https://doi.org/10.1109/OJCOMS.2024.3466225","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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 Open Journal Of The Communications Society, 5, 6239-6260, (2024-01-01)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/ojcoms.2024.3466225","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ojcoms.2024.3466225","pdf_url":null,"source":{"id":"https://openalex.org/S4210202420","display_name":"IEEE Open Journal of the Communications Society","issn_l":"2644-125X","issn":["2644-125X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications 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 Open Journal of the Communications Society","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":105,"referenced_works":["https://openalex.org/W1516111018","https://openalex.org/W2052245130","https://openalex.org/W2114323850","https://openalex.org/W2136634080","https://openalex.org/W2225156818","https://openalex.org/W2475005672","https://openalex.org/W2490662969","https://openalex.org/W2746553466","https://openalex.org/W2949029701","https://openalex.org/W2963224980","https://openalex.org/W2963426313","https://openalex.org/W2969519626","https://openalex.org/W3083898850","https://openalex.org/W3090694330","https://openalex.org/W3092210991","https://openalex.org/W3093528669","https://openalex.org/W3094019951","https://openalex.org/W3108202858","https://openalex.org/W3123603070","https://openalex.org/W3137639243","https://openalex.org/W3159907343","https://openalex.org/W3173386267","https://openalex.org/W3193630371","https://openalex.org/W3202807108","https://openalex.org/W3203241679","https://openalex.org/W3206568895","https://openalex.org/W3208432307","https://openalex.org/W3215160418","https://openalex.org/W4206028292","https://openalex.org/W4225983328","https://openalex.org/W4226128079","https://openalex.org/W4297999738","https://openalex.org/W4312712983","https://openalex.org/W4313068113","https://openalex.org/W4313476909","https://openalex.org/W4320029337","https://openalex.org/W4320029503","https://openalex.org/W4323521195","https://openalex.org/W4324116596","https://openalex.org/W4360897377","https://openalex.org/W4361029956","https://openalex.org/W4366262984","https://openalex.org/W4376480931","https://openalex.org/W4377710429","https://openalex.org/W4378805148","https://openalex.org/W4380451036","https://openalex.org/W4380534756","https://openalex.org/W4381327855","https://openalex.org/W4381735898","https://openalex.org/W4381745136","https://openalex.org/W4383371721","https://openalex.org/W4385695892","https://openalex.org/W4386248941","https://openalex.org/W4386254841","https://openalex.org/W4386275787","https://openalex.org/W4386432078","https://openalex.org/W4386766970","https://openalex.org/W4387614515","https://openalex.org/W4387870909","https://openalex.org/W4387871047","https://openalex.org/W4387872840","https://openalex.org/W4388089394","https://openalex.org/W4388631766","https://openalex.org/W4389262700","https://openalex.org/W4389312996","https://openalex.org/W4389983528","https://openalex.org/W4390494376","https://openalex.org/W4390660449","https://openalex.org/W4390729056","https://openalex.org/W4390738544","https://openalex.org/W4391097131","https://openalex.org/W4391128868","https://openalex.org/W4391407003","https://openalex.org/W4391468432","https://openalex.org/W4391696919","https://openalex.org/W4391753543","https://openalex.org/W4391791538","https://openalex.org/W4392082208","https://openalex.org/W4392399484","https://openalex.org/W4392939645","https://openalex.org/W4393180251","https://openalex.org/W4400646216","https://openalex.org/W4403052641","https://openalex.org/W6683204974","https://openalex.org/W6685444567","https://openalex.org/W6768441595","https://openalex.org/W6770904859","https://openalex.org/W6780462291","https://openalex.org/W6780559895","https://openalex.org/W6782909102","https://openalex.org/W6784653527","https://openalex.org/W6786048916","https://openalex.org/W6789451513","https://openalex.org/W6791719266","https://openalex.org/W6810111288","https://openalex.org/W6810790459","https://openalex.org/W6844618844","https://openalex.org/W6846310611","https://openalex.org/W6852479565","https://openalex.org/W6853808358","https://openalex.org/W6854377508","https://openalex.org/W6854474757","https://openalex.org/W6861525303","https://openalex.org/W6862383988","https://openalex.org/W6864493985"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382290278","https://openalex.org/W4395014643"],"abstract_inverted_index":{"The":[0,174],"move":[1],"toward":[2],"artificial":[3],"intelligence":[4],"(AI)-native":[5],"sixth-generation":[6],"(6G)":[7],"networks":[8],"has":[9],"put":[10],"more":[11],"emphasis":[12],"on":[13,65],"the":[14,44,140,151,168,190,211],"importance":[15,84],"of":[16,71,82,130,199,203],"explainability":[17,154,187],"and":[18,85,128,142,164,186],"trustworthiness":[19],"in":[20,47,80,167,178,201,207],"network":[21,75],"management":[22],"operations,":[23],"especially":[24],"for":[25,42],"mission-critical":[26],"use-cases.":[27],"Such":[28],"desired":[29],"trust":[30],"transcends":[31],"traditional":[32],"post-hoc":[33],"explainable":[34],"AI":[35],"(XAI)":[36],"methods":[37],"to":[38,90,125,160],"using":[39],"contextual":[40],"explanations":[41],"guiding":[43],"learning":[45,58,171],"process":[46],"an":[48],"in-hoc":[49,153],"way.":[50],"This":[51,96],"paper":[52],"proposes":[53],"a":[54,66,72,91,106,109,114,196],"novel":[55],"graph":[56],"reinforcement":[57,170],"(GRL)":[59],"framework":[60],"named":[61],"TANGO":[62,194],"which":[63,123],"relies":[64],"symbolic":[67,102],"subsystem.":[68],"It":[69],"consists":[70],"Bayesian-graph":[73],"neural":[74],"(GNN)":[76],"Explainer,":[77],"whose":[78],"outputs,":[79],"terms":[81,202],"edge/node":[83],"uncertainty,":[86],"are":[87],"periodically":[88],"translated":[89],"logical":[92],"GRL":[93,162],"reward":[94],"function.":[95],"adjustment":[97],"is":[98,121],"accomplished":[99],"through":[100],"defined":[101],"reasoning":[103],"rules":[104],"within":[105],"Reasoner.":[107],"Considering":[108],"real-world":[110],"testbed":[111],"proof-of-concept":[112],"(PoC),":[113],"gNodeB":[115],"(gNB)":[116],"radio":[117],"resource":[118,132],"allocation":[119,206],"problem":[120],"formulated,":[122],"aims":[124],"minimize":[126],"under-":[127],"over-provisioning":[129],"physical":[131],"blocks":[133],"(PRBs)":[134],"while":[135],"penalizing":[136],"decisions":[137],"emanating":[138],"from":[139],"uncertain":[141],"less":[143],"important":[144],"edge-nodes":[145],"relations.":[146],"Our":[147],"findings":[148],"reveal":[149],"that":[150,193],"proposed":[152],"solution":[155],"significantly":[156],"expedites":[157],"convergence":[158],"compared":[159],"standard":[161],"baseline":[163,212],"other":[165],"benchmarks":[166],"deep":[169],"(DRL)":[172],"domain.":[173],"experiment":[175],"evaluates":[176],"performance":[177],"AI,":[179],"complexity,":[180],"energy":[181],"consumption,":[182],"robustness,":[183],"network,":[184],"scalability,":[185],"metrics.":[188],"Specifically,":[189],"results":[191],"show":[192],"achieves":[195],"noteworthy":[197],"accuracy":[198],"96.39%":[200],"optimal":[204],"PRB":[205],"inference":[208],"phase,":[209],"outperforming":[210],"by":[213],"<inline-formula":[214],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[215],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[216],"<tex-math":[217],"notation=\"LaTeX\">$1.22\\times":[218],"$":[219],"</tex-math></inline-formula>.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2024-09-24T00:00:00"}
