{"id":"https://openalex.org/W2110307520","doi":"https://doi.org/10.1109/cec.2011.5949741","title":"Fitness functions for searching the Mandelbrot set","display_name":"Fitness functions for searching the Mandelbrot set","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2110307520","doi":"https://doi.org/10.1109/cec.2011.5949741","mag":"2110307520"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2011.5949741","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2011.5949741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Congress of Evolutionary Computation (CEC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080870632","display_name":"Daniel Ashlock","orcid":"https://orcid.org/0000-0003-2209-7504"},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Daniel Ashlock","raw_affiliation_strings":["Department of Math and Stat, University of Guelph, Guelph, ONT, Canada","Department of Math and Stat, University of Guelph, Guelph, Ontario Canada N1G 2W1"],"affiliations":[{"raw_affiliation_string":"Department of Math and Stat, University of Guelph, Guelph, ONT, Canada","institution_ids":["https://openalex.org/I79817857"]},{"raw_affiliation_string":"Department of Math and Stat, University of Guelph, Guelph, Ontario Canada N1G 2W1","institution_ids":["https://openalex.org/I79817857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020474806","display_name":"Joseph Alexander Brown","orcid":"https://orcid.org/0000-0002-6513-4929"},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Joseph Alexander Brown","raw_affiliation_strings":["School of Computer Science, University of Guelph, Guelph, ONT, Canada","School of Computer Science, University of Guelph, Guelph, Ontario Canada N1G 2W1"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Guelph, Guelph, ONT, Canada","institution_ids":["https://openalex.org/I79817857"]},{"raw_affiliation_string":"School of Computer Science, University of Guelph, Guelph, Ontario Canada N1G 2W1","institution_ids":["https://openalex.org/I79817857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080870632"],"corresponding_institution_ids":["https://openalex.org/I79817857"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.12101115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"106","issue":null,"first_page":"1108","last_page":"1115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9797000288963318,"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/T10320","display_name":"Neural Networks and Applications","score":0.9797000288963318,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9718000292778015,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.965399980545044,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mandelbrot-set","display_name":"Mandelbrot set","score":0.9936456680297852},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6425718069076538},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6109678745269775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5579092502593994},{"id":"https://openalex.org/keywords/complex-quadratic-polynomial","display_name":"Complex quadratic polynomial","score":0.539191484451294},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45536723732948303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3913425803184509},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08312028646469116}],"concepts":[{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.9936456680297852},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6425718069076538},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6109678745269775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5579092502593994},{"id":"https://openalex.org/C6077466","wikidata":"https://www.wikidata.org/wiki/Q5156597","display_name":"Complex quadratic polynomial","level":3,"score":0.539191484451294},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45536723732948303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3913425803184509},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08312028646469116},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2011.5949741","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2011.5949741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Congress of Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W71408460","https://openalex.org/W117779751","https://openalex.org/W129989980","https://openalex.org/W320585331","https://openalex.org/W597710695","https://openalex.org/W631911903","https://openalex.org/W895109681","https://openalex.org/W1186278165","https://openalex.org/W1486199311","https://openalex.org/W1570026995","https://openalex.org/W1911341635","https://openalex.org/W1943945515","https://openalex.org/W1986326237","https://openalex.org/W2038248653","https://openalex.org/W2039274564","https://openalex.org/W2062124427","https://openalex.org/W2078206416","https://openalex.org/W2082276189","https://openalex.org/W2109945488","https://openalex.org/W2127785681","https://openalex.org/W2131435051","https://openalex.org/W2320104866","https://openalex.org/W2321539715","https://openalex.org/W2339378878","https://openalex.org/W2487004439","https://openalex.org/W4240573450","https://openalex.org/W4285719527","https://openalex.org/W6618033617","https://openalex.org/W6620320734","https://openalex.org/W6624133333","https://openalex.org/W6627892412","https://openalex.org/W6634208812","https://openalex.org/W6646727378","https://openalex.org/W6722660181","https://openalex.org/W7037709901"],"related_works":["https://openalex.org/W2385956173","https://openalex.org/W2050314694","https://openalex.org/W4210422901","https://openalex.org/W2496708715","https://openalex.org/W2386981684","https://openalex.org/W2088551211","https://openalex.org/W2166597943","https://openalex.org/W2380658313","https://openalex.org/W103809864","https://openalex.org/W4308870400"],"abstract_inverted_index":{"The":[0],"Mandelbrot":[1,28,69,96,136],"set":[2,29,70,102],"is":[3,117],"a":[4,13,101,107],"famous":[5],"fractal.":[6],"It":[7,116],"serves":[8],"as":[9],"the":[10,27,36,49,56,59,68,79,89,94,111,114,135],"source":[11],"of":[12,16,38,48,58,67,78,91,93,103,113,132],"large":[14],"number":[15,90],"complex":[17],"mathematical":[18],"images.":[19],"Evolutionary":[20],"computation":[21],"can":[22],"be":[23],"used":[24],"to":[25,98,128],"search":[26],"for":[30,44],"interesting":[31],"views.":[32],"This":[33],"study":[34],"compares":[35],"results":[37],"using":[39,120],"several":[40],"different":[41,121],"fitness":[42,50,80,122],"functions":[43,51,81,123],"this":[45],"search.":[46],"Some":[47],"give":[52],"substantial":[53],"control":[54],"over":[55],"appearance":[57],"resulting":[60],"views":[61,133],"while":[62],"others":[63],"simply":[64],"locate":[65,129],"parts":[66],"in":[71,88,106],"which":[72],"there":[73],"are":[74,82],"complicated":[75],"structures.":[76],"All":[77],"based":[83],"on":[84,100],"finding":[85],"desirable":[86],"patterns":[87],"iterations":[92],"basic":[95],"formula":[97],"diverge":[99],"points":[104],"arranged":[105],"regular":[108],"grid":[109],"near":[110],"boundary":[112],"set.":[115,137],"shown":[118],"that":[119],"causes":[124],"an":[125],"evolutionary":[126],"algorithm":[127],"difference":[130],"types":[131],"into":[134]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
