{"id":"https://openalex.org/W2949326633","doi":"https://doi.org/10.1109/access.2019.2922222","title":"Transmission Policy of Two-Way Relay Networks With Multiple Stochastic Energy Harvesting Nodes","display_name":"Transmission Policy of Two-Way Relay Networks With Multiple Stochastic Energy Harvesting Nodes","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2949326633","doi":"https://doi.org/10.1109/access.2019.2922222","mag":"2949326633"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2922222","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922222","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735707.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":null,"license_id":null,"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/ielx7/6287639/8600701/08735707.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100317973","display_name":"Wei Li","orcid":"https://orcid.org/0000-0001-5928-1220"},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Li","raw_affiliation_strings":["School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","School of Information Engineering, Chang'an University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-5928-1220","affiliations":[{"raw_affiliation_string":"School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]},{"raw_affiliation_string":"School of Information Engineering, Chang'an University, Xi'an, China","institution_ids":["https://openalex.org/I25355098"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112600582","display_name":"Meng Lin Ku","orcid":null},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Meng-Lin Ku","raw_affiliation_strings":["Department of Communication Engineering, National Central University, Jung-li, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communication Engineering, National Central University, Jung-li, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100378075","display_name":"Yan Chen","orcid":"https://orcid.org/0000-0002-3227-4562"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Chen","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100373201","display_name":"Yichen Wang","orcid":"https://orcid.org/0000-0003-4593-2605"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yichen Wang","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011376755","display_name":"Zhonghua Liang","orcid":"https://orcid.org/0000-0002-7200-6685"},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhonghua Liang","raw_affiliation_strings":["School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","School of Information Engineering, Chang'an University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]},{"raw_affiliation_string":"School of Information Engineering, Chang'an University, Xi'an, China","institution_ids":["https://openalex.org/I25355098"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2335,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52867862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"7","issue":null,"first_page":"76967","last_page":"76984"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.7908204197883606},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.7241734266281128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6774094104766846},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6476258635520935},{"id":"https://openalex.org/keywords/energy-harvesting","display_name":"Energy harvesting","score":0.6135656237602234},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.6036534905433655},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5443564653396606},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4873405396938324},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4847104549407959},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4449279308319092},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.4340210556983948},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42212843894958496},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.40238386392593384},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3834916055202484},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.34554556012153625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33814308047294617},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2115095555782318},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.17481160163879395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1601899266242981},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13069716095924377},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07796156406402588}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7908204197883606},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7241734266281128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6774094104766846},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6476258635520935},{"id":"https://openalex.org/C101518730","wikidata":"https://www.wikidata.org/wiki/Q930236","display_name":"Energy harvesting","level":3,"score":0.6135656237602234},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.6036534905433655},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5443564653396606},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4873405396938324},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4847104549407959},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4449279308319092},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.4340210556983948},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42212843894958496},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.40238386392593384},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3834916055202484},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.34554556012153625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33814308047294617},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2115095555782318},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.17481160163879395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1601899266242981},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13069716095924377},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07796156406402588},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2922222","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922222","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735707.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cf13099a1f784877b699966bfd9073a7","is_oa":true,"landing_page_url":"https://doaj.org/article/cf13099a1f784877b699966bfd9073a7","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 7, Pp 76967-76984 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2922222","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922222","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735707.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9100000262260437,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2676843424","display_name":"\u57fa\u4e8e\u7edf\u8ba1\u961f\u5217\u5206\u6790\u7684\u591a\u7528\u6237\u8ba4\u77e5\u7f51\u7edc\u4f20\u8f93\u6280\u672f\u7814\u7a76","funder_award_id":"61871314","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3032747123","display_name":null,"funder_award_id":"2019ZDLGY07-04","funder_id":"https://openalex.org/F4320336350","funder_display_name":"Key Research and Development Projects of Shaanxi Province"},{"id":"https://openalex.org/G3475779016","display_name":null,"funder_award_id":"300102249303","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7167287515","display_name":"\u57fa\u4e8e\u77ed\u65f6\u79fb\u53ca\u7801\u590d\u7528\u7684\u975e\u76f8\u5e72\u8d85\u5bbd\u5e26\u901a\u4fe1\u6280\u672f\u7814\u7a76","funder_award_id":"61271262","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336350","display_name":"Key Research and Development Projects of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949326633.pdf","grobid_xml":"https://content.openalex.org/works/W2949326633.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1980637875","https://openalex.org/W1999958469","https://openalex.org/W2043313048","https://openalex.org/W2046672513","https://openalex.org/W2058159521","https://openalex.org/W2065705494","https://openalex.org/W2067883920","https://openalex.org/W2104250954","https://openalex.org/W2129665386","https://openalex.org/W2143005940","https://openalex.org/W2161850939","https://openalex.org/W2164599584","https://openalex.org/W2165064084","https://openalex.org/W2316601642","https://openalex.org/W2316809434","https://openalex.org/W2322476824","https://openalex.org/W2327190532","https://openalex.org/W2334782222","https://openalex.org/W2342830374","https://openalex.org/W2346847115","https://openalex.org/W2511127296","https://openalex.org/W2602241875","https://openalex.org/W2625914022","https://openalex.org/W2735671121","https://openalex.org/W2757449319","https://openalex.org/W2758111728","https://openalex.org/W2762575110","https://openalex.org/W2766826897","https://openalex.org/W2789372517","https://openalex.org/W2793584711","https://openalex.org/W2802481863","https://openalex.org/W2891216649","https://openalex.org/W2963499473","https://openalex.org/W2963943702"],"related_works":["https://openalex.org/W2608897767","https://openalex.org/W2153829573","https://openalex.org/W2099376255","https://openalex.org/W2963768675","https://openalex.org/W2004047158","https://openalex.org/W2119153672","https://openalex.org/W2993015344","https://openalex.org/W1559320887","https://openalex.org/W2374704553","https://openalex.org/W2082611414"],"abstract_inverted_index":{"The":[0,70],"online":[1],"optimal":[2,144,169,260],"transmission":[3,83,145,198],"policy":[4,146,170,261],"and":[5,38,99,117,147,173,180,227,262,285],"outage":[6,72,130,149,208,264,286],"performance":[7,209,265],"are":[8,32,51,154,270,292],"investigated":[9],"for":[10,53],"energy":[11,48,101],"harvesting":[12],"(EH)":[13],"two-way":[14],"relay":[15,45,55,159,249,279],"(TWR)":[16],"networks":[17],"by":[18,80,220],"exploiting":[19],"a":[20,44,67,112,161,251],"real-data-driven":[21],"stochastic":[22],"EH":[23,64,87,93,190,203,234,248,278],"model.":[24],"In":[25,156],"this":[26],"network,":[27],"two":[28,189,202,238],"solar-powered":[29,61],"source":[30,191,204,239],"nodes":[31,88,240],"both":[33],"equipped":[34],"with":[35,40,66],"finite-sized":[36,68],"batteries,":[37,226],"communicate":[39],"each":[41],"other":[42],"via":[43],"node.":[46],"Two":[47],"supply":[49],"modes":[50],"studied":[52],"the":[54,75,82,90,95,100,107,118,124,127,140,143,152,157,168,176,184,188,197,201,207,212,221,230,233,237,242,247,259,263,268,274,277,281,296],"node:":[56],"fixed":[57],"power":[58,84,185,283],"(FP)":[59],"or":[60],"as":[62,111,123],"an":[63],"node":[65],"battery.":[69],"long-term":[71],"probability":[73,150,223],"of":[74,85,103,126,151,167,183,187,211,224,232,236,258,267,276],"TWR":[76],"network":[77,153,213,225,243,269],"is":[78,109,121,135,171,214],"optimized":[79],"adapting":[81],"all":[86],"to":[89,217,294],"causal":[91],"solar":[92],"condition,":[94],"fading":[96],"channel":[97],"states":[98],"storage":[102],"their":[104],"batteries.":[105],"Thus,":[106],"framework":[108],"formulated":[110],"Markov":[113],"decision":[114],"process":[115],"(MDP),":[116],"reward":[119],"function":[120],"defined":[122],"complement":[125],"network's":[128,282],"conditional":[129],"probability,":[131],"whose":[132],"exact":[133],"closed-form":[134],"derived":[136],"theoretically.":[137],"Based":[138],"on":[139,241,280],"MDP":[141],"model,":[142],"expected":[148],"computed.":[155],"FP":[158],"mode,":[160,250],"two-dimensional":[162],"(2D)":[163],"on-off":[164,255],"threshold":[165,256],"structure":[166,257],"revealed,":[172],"it":[174,228],"shows":[175],"2-D":[177],"zero-action,":[178],"non-conservative":[179],"power-converged":[181],"properties":[182],"actions":[186],"nodes.":[192,205],"This":[193],"special":[194],"property":[195],"indicates":[196],"interaction":[199],"between":[200],"Further,":[206],"limit":[210,266],"found":[215],"out":[216],"be":[218],"determined":[219],"deficiency":[222],"reflects":[229],"impact":[231,275],"capabilities":[235],"performance.":[244],"Moreover,":[245],"in":[246],"more":[252],"complicated":[253],"three-dimensional":[254],"also":[271],"derived,":[272],"reflecting":[273],"allocation":[284],"performance,":[287],"respectively.":[288],"Finally,":[289],"computer":[290],"simulations":[291],"demonstrated":[293],"verify":[295],"theoretical":[297],"analysis.":[298]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}