{"id":"https://openalex.org/W2894313147","doi":"https://doi.org/10.1063/1.5031956","title":"One parameter is always enough","display_name":"One parameter is always enough","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2894313147","doi":"https://doi.org/10.1063/1.5031956","mag":"2894313147"},"language":"en","primary_location":{"id":"doi:10.1063/1.5031956","doi":"https://doi.org/10.1063/1.5031956","is_oa":true,"landing_page_url":"https://doi.org/10.1063/1.5031956","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1063/1.5031956","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087201837","display_name":"Steven T. Piantadosi","orcid":"https://orcid.org/0000-0001-5499-4168","observed_orcids":["https://orcid.org/0000-0001-5499-4168"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steven T. Piantadosi","raw_affiliation_strings":["Department of Psychology, University of California , Berkeley, California 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, University of California , Berkeley, California 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087201837"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":1350,"currency":"USD","value_usd":1350},"apc_paid":{"value":1350,"currency":"USD","value_usd":1350},"fwci":4.1684,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.95646416,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"9","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8978999853134155,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8978999853134155,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.01860000006854534,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.006899999920278788,"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/logistic-map","display_name":"logistic map","score":0.8610000014305115},{"id":"https://openalex.org/keywords/iterated-maps","display_name":"iterated maps","score":0.7279999852180481},{"id":"https://openalex.org/keywords/model-complexity","display_name":"model complexity","score":0.8230000138282776},{"id":"https://openalex.org/keywords/parameter-counting","display_name":"parameter counting","score":0.9599999785423279},{"id":"https://openalex.org/keywords/elementary-functions","display_name":"elementary functions","score":0.4259999990463257},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.6480000019073486}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8459697961807251},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6579010486602783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.648381769657135},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6344307661056519},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5466658473014832},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.46139976382255554},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45394355058670044},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3796791136264801},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3626442551612854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2675821781158447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15087881684303284},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1063/1.5031956","doi":"https://doi.org/10.1063/1.5031956","is_oa":true,"landing_page_url":"https://doi.org/10.1063/1.5031956","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fd3d9050754b449b83d7760fc77065ef","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/fd3d9050754b449b83d7760fc77065ef","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,"listed_in":[],"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":"AIP Advances, Vol 8, Iss 9, Pp 095118-095118-4 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1063/1.5031956","doi":"https://doi.org/10.1063/1.5031956","is_oa":true,"landing_page_url":"https://doi.org/10.1063/1.5031956","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W147499212","https://openalex.org/W1979769287","https://openalex.org/W1985261712","https://openalex.org/W2007314042","https://openalex.org/W2082457558","https://openalex.org/W2101460669","https://openalex.org/W2104100022","https://openalex.org/W2142635246","https://openalex.org/W2146855196","https://openalex.org/W2791177235","https://openalex.org/W4246962530","https://openalex.org/W6930696636"],"related_works":["https://openalex.org/W2940784590","https://openalex.org/W4388249981","https://openalex.org/W7113905416","https://openalex.org/W4400611224","https://openalex.org/W1990591466","https://openalex.org/W2330660101","https://openalex.org/W437922078","https://openalex.org/W53380601","https://openalex.org/W2972384949","https://openalex.org/W1969288009"],"abstract_inverted_index":{"We":[0],"construct":[1,44],"an":[2,89,104],"elementary":[3],"equation":[4,105],"f\u03b8(x)":[5],"with":[6,55,107],"a":[7,34,64,116],"single":[8],"real":[9],"valued":[10],"parameter":[11],"\u03b8":[12,18,65],"\u2208":[13,59,66],"[0,":[14,67],"1]":[15,68],"that,":[16],"as":[17,115],"varies,":[19],"is":[20,128],"capable":[21],"of":[22,30,51,103,118,124],"fitting":[23],"any":[24,28,49],"scatter":[25],"plot":[26],"on":[27],"number":[29],"points":[31],"to":[32],"within":[33],"fixed":[35],"precision.":[36],"Specifically,":[37],"given":[38],"\u03f5":[39,74],">":[40],"0,":[41],"we":[42,82],"may":[43],"f\u03b8":[45,106],"so":[46],"that":[47,96,111],"for":[48,75],"collection":[50],"ordered":[52],"pairs":[53],"{(xj,yj)}j=0n":[54],"n,xi\u2208N":[56],"and":[57],"yi":[58],"(0,":[60],"1),":[61],"there":[62],"exists":[63],"giving":[69],"|f\u03b8(xj)":[70],"\u2212":[71],"yj|":[72],"<":[73],"all":[76],"j":[77],"simultaneously.":[78],"To":[79],"achieve":[80],"this,":[81],"apply":[83],"results":[84],"about":[85],"the":[86,122],"logistic":[87],"map,":[88],"iterated":[90],"map":[91],"in":[92],"dynamical":[93],"systems":[94],"theory":[95],"can":[97],"be":[98],"solved":[99],"exactly.":[100],"The":[101],"existence":[102],"this":[108],"property":[109],"highlights":[110],"\u201cparameter":[112],"counting\u201d":[113],"fails":[114],"measure":[117],"model":[119],"complexity":[120],"when":[121],"class":[123],"models":[125],"under":[126],"consideration":[127],"only":[129],"slightly":[130],"broad.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2018-10-05T00:00:00"}