{"id":"https://openalex.org/W4293239237","doi":"https://doi.org/10.1007/s00453-022-00952-w","title":"Lower Bounds from Fitness Levels Made Easy","display_name":"Lower Bounds from Fitness Levels Made Easy","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W4293239237","doi":"https://doi.org/10.1007/s00453-022-00952-w"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-022-00952-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00952-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00952-w.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00952-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102961331","display_name":"Benjamin Doerr","orcid":"https://orcid.org/0000-0002-9786-220X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["Laboratoire d\u2019Informatique (LIX), CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique (LIX), CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004366897","display_name":"Timo K\u00f6tzing","orcid":"https://orcid.org/0000-0002-1028-5228"},"institutions":[{"id":"https://openalex.org/I143288331","display_name":"Hasso Plattner Institute","ror":"https://ror.org/058rn5r42","country_code":"DE","type":"facility","lineage":["https://openalex.org/I143288331","https://openalex.org/I176453806"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timo K\u00f6tzing","raw_affiliation_strings":["Hasso Plattner Institute, Potsdam, Germany","Hasso Plattner Institute [Potsdam, Germany] (Prof.-Dr.-Helmert-Stra\u00dfe 2-3\r\n14482 Potsdam, Germany  - Germany)"],"affiliations":[{"raw_affiliation_string":"Hasso Plattner Institute, Potsdam, Germany","institution_ids":["https://openalex.org/I143288331"]},{"raw_affiliation_string":"Hasso Plattner Institute [Potsdam, Germany] (Prof.-Dr.-Helmert-Stra\u00dfe 2-3\r\n14482 Potsdam, Germany  - Germany)","institution_ids":["https://openalex.org/I143288331"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102961331"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.8335,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77744064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"86","issue":"2","first_page":"367","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9997000098228455,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9997000098228455,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9990000128746033,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/algorithm","display_name":"Algorithm","score":0.6488139033317566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48421192169189453},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42518752813339233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.325519323348999},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08386600017547607}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6488139033317566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48421192169189453},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42518752813339233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.325519323348999},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08386600017547607}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00453-022-00952-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00952-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00952-w.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04679535v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04679535","pdf_url":"https://hal.science/hal-04679535/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0178-4617","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:kobv.de-opus4-uni-potsdam:61838","is_oa":true,"landing_page_url":"https://publishup.uni-potsdam.de/frontdoor/index/index/docId/61838","pdf_url":null,"source":{"id":"https://openalex.org/S4306400594","display_name":"publish.UP (University of Potsdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I176453806","host_organization_name":"University of Potsdam","host_organization_lineage":["https://openalex.org/I176453806"],"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":null,"raw_type":"doc-type:article"}],"best_oa_location":{"id":"doi:10.1007/s00453-022-00952-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00952-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00952-w.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2249808486","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2406829085","display_name":null,"funder_award_id":"FR 2988/17-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3807293409","display_name":null,"funder_award_id":"ANR-11-LABX-00","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4110391279","display_name":null,"funder_award_id":"project,","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4895254678","display_name":null,"funder_award_id":"ANR-11-LABX-0056","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5755857060","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH, LabEx LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6024419964","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6395863086","display_name":null,"funder_award_id":"11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6528048277","display_name":null,"funder_award_id":"FR 2988","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6851345361","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G718779670","display_name":null,"funder_award_id":"LabEx LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8330397625","display_name":null,"funder_award_id":"Funding","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8928656450","display_name":null,"funder_award_id":"Projekt DEAL","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293239237.pdf","grobid_xml":"https://content.openalex.org/works/W4293239237.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W139482607","https://openalex.org/W372717656","https://openalex.org/W1170402926","https://openalex.org/W1522597852","https://openalex.org/W1593495653","https://openalex.org/W1606774760","https://openalex.org/W1652824837","https://openalex.org/W1793635223","https://openalex.org/W1963976267","https://openalex.org/W1970025632","https://openalex.org/W1980841486","https://openalex.org/W1984555915","https://openalex.org/W1985115934","https://openalex.org/W1997367770","https://openalex.org/W2045438907","https://openalex.org/W2053222431","https://openalex.org/W2061092014","https://openalex.org/W2061751517","https://openalex.org/W2083026540","https://openalex.org/W2084149434","https://openalex.org/W2096795740","https://openalex.org/W2102044362","https://openalex.org/W2111575001","https://openalex.org/W2121654446","https://openalex.org/W2121811374","https://openalex.org/W2130501349","https://openalex.org/W2165220807","https://openalex.org/W2197473496","https://openalex.org/W2287495828","https://openalex.org/W2487146608","https://openalex.org/W2520275545","https://openalex.org/W2604934189","https://openalex.org/W2725382342","https://openalex.org/W2733925684","https://openalex.org/W2745272116","https://openalex.org/W2745977891","https://openalex.org/W2783263582","https://openalex.org/W2784961280","https://openalex.org/W2806883562","https://openalex.org/W2808435117","https://openalex.org/W2888445197","https://openalex.org/W2904037980","https://openalex.org/W2936991357","https://openalex.org/W2955805227","https://openalex.org/W2964312612","https://openalex.org/W2967587352","https://openalex.org/W2969868371","https://openalex.org/W2999855815","https://openalex.org/W3014633408","https://openalex.org/W3016125163","https://openalex.org/W3017649593","https://openalex.org/W3101206656","https://openalex.org/W3103536198","https://openalex.org/W3103794138","https://openalex.org/W3110996796","https://openalex.org/W3121354401","https://openalex.org/W3122779104","https://openalex.org/W3142744626","https://openalex.org/W3150027431","https://openalex.org/W3162852665","https://openalex.org/W3174975001","https://openalex.org/W3176103617","https://openalex.org/W3176592844","https://openalex.org/W4301441647","https://openalex.org/W4302617909"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Abstract":[0],"One":[1],"of":[2,22,31,38,71,109,155,216,231,255,289,300,332],"the":[3,19,32,44,60,69,72,76,110,156,167,175,201,217,228,232,252,256,267,276,286,290,301,323,330],"first":[4],"and":[5,161,195,208],"easy":[6,207],"to":[7,74,199,271,327],"use":[8],"techniques":[9],"for":[10,15,59,81,88,159,163,227,251,285],"proving":[11,89],"run":[12,61,214,229,253,287],"time":[13,62,215,230,254,288],"bounds":[14,80,91],"evolutionary":[16],"algorithms":[17],"is":[18],"so-called":[20],"method":[21,87,198],"fitness":[23],"levels":[24,39,77,178],"by":[25,43,67,102,296],"Wegener.":[26],"It":[27],"uses":[28],"a":[29,36,84,106,272,281],"partition":[30],"search":[33],"space":[34],"into":[35],"sequence":[37],"which":[40],"are":[41,179],"traversed":[42],"algorithm":[45,324],"in":[46,205,275],"increasing":[47],"order,":[48],"possibly":[49],"skipping":[50],"levels.":[51],"An":[52],"easy,":[53],"but":[54],"often":[55],"strong":[56],"upper":[57,79,160],"bound":[58,226,250,284],"can":[63,187,325],"then":[64],"be":[65,188],"derived":[66],"adding":[68],"reciprocals":[70],"probabilities":[73,176],"leave":[75],"(or":[78],"these).":[82],"Unfortunately,":[83],"similarly":[85],"effective":[86],"lower":[90,164,225,249,283],"has":[92],"not":[93],"yet":[94],"been":[95],"established.":[96],"The":[97,212],"strongest":[98],"such":[99],"method,":[100,157],"proposed":[101],"Sudholt":[103],"(2013),":[104],"requires":[105],"careful":[107],"choice":[108],"viscosity":[111],"parameters":[112],"$$\\gamma":[113],"_{i,j}$$":[114],"<mml:math":[115,134,308],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[116,135,309],"<mml:msub>":[117],"<mml:mi>\u03b3</mml:mi>":[118],"<mml:mrow>":[119,136,310,315],"<mml:mi>i</mml:mi>":[120,139],"<mml:mo>,</mml:mo>":[121],"<mml:mi>j</mml:mi>":[122,141],"</mml:mrow>":[123,144,318,321],"</mml:msub>":[124],"</mml:math>":[125,145,322],",":[126,237],"$$0":[127],"\\le":[128,132],"i":[129],"&lt;":[130],"j":[131],"n$$":[133],"<mml:mn>0</mml:mn>":[137],"<mml:mo>\u2264</mml:mo>":[138,142],"<mml:mo>&lt;</mml:mo>":[140],"<mml:mi>n</mml:mi>":[143,317],".":[146,222],"In":[147],"this":[148],"paper":[149],"we":[150],"present":[151],"two":[152],"new":[153],"variants":[154],"one":[158,162],"bounds.":[165],"Besides":[166],"level":[168],"leaving":[169],"probabilities,":[170],"they":[171],"only":[172,304],"rely":[173],"on":[174,220,235,259,293],"that":[177,185],"visited":[180],"at":[181],"all.":[182],"We":[183,278],"show":[184],"these":[186],"computed":[189],"or":[190],"estimated":[191],"without":[192],"greater":[193],"difficulties":[194],"apply":[196],"our":[197],"reprove":[200],"following":[202],"known":[203],"results":[204],"an":[206,241],"natural":[209],"way.":[210],"(i)":[211],"precise":[213],"(1+1)":[218,233,257,291],"EA":[219,234,258,292],"LeadingOnes":[221],"(ii)":[223],"A":[224,248],"OneMax":[236],"tight":[238],"apart":[239],"from":[240,266],"O":[242],"(":[243],"n":[244],")":[245],"term.":[246],"(iii)":[247],"long":[260],"k":[261],"-paths":[262],"(which":[263],"differs":[264],"slightly":[265],"previous":[268],"result":[269],"due":[270],"small":[273],"error":[274],"latter).":[277],"also":[279],"prove":[280],"tighter":[282],"jump":[294,302,328],"functions":[295],"showing":[297],"that,":[298],"regardless":[299],"size,":[303],"with":[305],"probability":[306],"$$O(2^{-n})$$":[307],"<mml:mi>O</mml:mi>":[311],"<mml:mo>(</mml:mo>":[312],"<mml:msup>":[313],"<mml:mn>2</mml:mn>":[314],"<mml:mo>-</mml:mo>":[316],"</mml:msup>":[319],"<mml:mo>)</mml:mo>":[320],"avoid":[326],"over":[329],"valley":[331],"low":[333],"fitness.":[334]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}
