{"id":"https://openalex.org/W2153719229","doi":"https://doi.org/10.3389/fncom.2010.00024","title":"Internal representation of task rules by recurrent dynamics: the importance of the diversity of neural responses","display_name":"Internal representation of task rules by recurrent dynamics: the importance of the diversity of neural responses","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2153719229","doi":"https://doi.org/10.3389/fncom.2010.00024","mag":"2153719229","pmid":"https://pubmed.ncbi.nlm.nih.gov/21048899","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/2967380"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3389/fncom.2010.00024","pdf_url":"https://www.frontiersin.org/articles/10.3389/fncom.2010.00024/pdf","source":{"id":"https://openalex.org/S19778766","display_name":"Frontiers in Computational Neuroscience","issn_l":"1662-5188","issn":["1662-5188"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/articles/10.3389/fncom.2010.00024/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081069627","display_name":"Mattia Rigotti","orcid":"https://orcid.org/0000-0001-6466-2810"},"institutions":[{"id":"https://openalex.org/I12708293","display_name":"SIB Swiss Institute of Bioinformatics","ror":"https://ror.org/002n09z45","country_code":"CH","type":"nonprofit","lineage":["https://openalex.org/I12708293"]},{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"funder","lineage":["https://openalex.org/I202697423"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"funder","lineage":["https://openalex.org/I78577930"]}],"countries":["CH","US"],"is_corresponding":true,"raw_author_name":"Mattia Rigotti","raw_affiliation_strings":["Center for Theoretical Neuroscience, College of Physicians and Surgeons, Columbia University, New York, NY, USA","Institute of Neuroinformatics, University of Zurich and Swiss Federal Institute of Technology Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Neuroinformatics, University of Zurich and Swiss Federal Institute of Technology Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I12708293","https://openalex.org/I202697423"]},{"raw_affiliation_string":"Center for Theoretical Neuroscience, College of Physicians and Surgeons, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081069627"],"corresponding_institution_ids":["https://openalex.org/I12708293","https://openalex.org/I202697423","https://openalex.org/I78577930"],"apc_list":{"value":2950,"currency":"USD","value_usd":2950},"apc_paid":{"value":2950,"currency":"USD","value_usd":2950},"fwci":6.894,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":188,"citation_normalized_percentile":{"value":0.999936,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9984,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9983,"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/neural-coding","display_name":"Neural coding","score":0.51326346},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network Dynamics","score":0.5109567},{"id":"https://openalex.org/keywords/representation","display_name":"Representation","score":0.4705128},{"id":"https://openalex.org/keywords/winner-take-all","display_name":"Winner-take-all","score":0.42668644},{"id":"https://openalex.org/keywords/computational-neuroscience","display_name":"Computational neuroscience","score":0.420479}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6594079},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.63381183},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6253858},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.54814327},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.53966963},{"id":"https://openalex.org/C94487597","wikidata":"https://www.wikidata.org/wiki/Q11101","display_name":"Sensory system","level":2,"score":0.52298856},{"id":"https://openalex.org/C77637269","wikidata":"https://www.wikidata.org/wiki/Q7002051","display_name":"Neural coding","level":2,"score":0.51326346},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.5109567},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.5032975},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.47174487},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4705128},{"id":"https://openalex.org/C168976158","wikidata":"https://www.wikidata.org/wiki/Q769931","display_name":"Winner-take-all","level":3,"score":0.42668644},{"id":"https://openalex.org/C15286952","wikidata":"https://www.wikidata.org/wiki/Q8037925","display_name":"Computational neuroscience","level":2,"score":0.420479},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3390087},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.27730057},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12274814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.083910346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.3389/fncom.2010.00024","pdf_url":"https://www.frontiersin.org/articles/10.3389/fncom.2010.00024/pdf","source":{"id":"https://openalex.org/S19778766","display_name":"Frontiers in Computational Neuroscience","issn_l":"1662-5188","issn":["1662-5188"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://europepmc.org/articles/pmc2967380","pdf_url":"https://europepmc.org/articles/pmc2967380?pdf=render","source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":["European Bioinformatics Institute"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2967380","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21048899","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3389/fncom.2010.00024","pdf_url":"https://www.frontiersin.org/articles/10.3389/fncom.2010.00024/pdf","source":{"id":"https://openalex.org/S19778766","display_name":"Frontiers in Computational Neuroscience","issn_l":"1662-5188","issn":["1662-5188"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":84,"referenced_works":["https://openalex.org/W1494478293","https://openalex.org/W1509703770","https://openalex.org/W1511039218","https://openalex.org/W1517585663","https://openalex.org/W1544200658","https://openalex.org/W1550112914","https://openalex.org/W1572401739","https://openalex.org/W1685150300","https://openalex.org/W1771766632","https://openalex.org/W1884390770","https://openalex.org/W1907121963","https://openalex.org/W1939596644","https://openalex.org/W1968491104","https://openalex.org/W1969161495","https://openalex.org/W1970968838","https://openalex.org/W1973613062","https://openalex.org/W1989874246","https://openalex.org/W1993129834","https://openalex.org/W1998687450","https://openalex.org/W2008356503","https://openalex.org/W2013122119","https://openalex.org/W2015619788","https://openalex.org/W2022881357","https://openalex.org/W2026921170","https://openalex.org/W2032434570","https://openalex.org/W2036838633","https://openalex.org/W2037392344","https://openalex.org/W2040302211","https://openalex.org/W2042492924","https://openalex.org/W2043161845","https://openalex.org/W2044840164","https://openalex.org/W2054882585","https://openalex.org/W2055373425","https://openalex.org/W2056003475","https://openalex.org/W2057034600","https://openalex.org/W2059668389","https://openalex.org/W2060618570","https://openalex.org/W2062127373","https://openalex.org/W2065990977","https://openalex.org/W2070900790","https://openalex.org/W2076711404","https://openalex.org/W2084897272","https://openalex.org/W2087629825","https://openalex.org/W2088744610","https://openalex.org/W2092632480","https://openalex.org/W2099231026","https://openalex.org/W2100495367","https://openalex.org/W2101620490","https://openalex.org/W2102068574","https://openalex.org/W2103019454","https://openalex.org/W2103179919","https://openalex.org/W2104681180","https://openalex.org/W2105398397","https://openalex.org/W2115010184","https://openalex.org/W2118706537","https://openalex.org/W2119821739","https://openalex.org/W2128084896","https://openalex.org/W2129386380","https://openalex.org/W2129638195","https://openalex.org/W2133671888","https://openalex.org/W2151137320","https://openalex.org/W2154562678","https://openalex.org/W2155051950","https://openalex.org/W2158424806","https://openalex.org/W2160545525","https://openalex.org/W2161983882","https://openalex.org/W2167809052","https://openalex.org/W2168462263","https://openalex.org/W2168815228","https://openalex.org/W2169519447","https://openalex.org/W2169585918","https://openalex.org/W2286812955","https://openalex.org/W2322002063","https://openalex.org/W2322190567","https://openalex.org/W2333678684","https://openalex.org/W2484008018","https://openalex.org/W2501101982","https://openalex.org/W3100753476","https://openalex.org/W3124563337","https://openalex.org/W4238306632","https://openalex.org/W4239510810","https://openalex.org/W4255229883","https://openalex.org/W4255825300","https://openalex.org/W4298069009"],"related_works":["https://openalex.org/W4205753683","https://openalex.org/W2966267229","https://openalex.org/W2956232772","https://openalex.org/W2272954244","https://openalex.org/W2183204832","https://openalex.org/W2107864377","https://openalex.org/W2015574391","https://openalex.org/W1986739317","https://openalex.org/W1976150695","https://openalex.org/W1654592387"],"abstract_inverted_index":{"Neural":[0],"activity":[1,76,195],"of":[2,19,28,43,74,78,89,123,143,155,164,179,187,193,207,210],"behaving":[3],"animals,":[4],"especially":[5],"in":[6,146],"the":[7,20,41,51,61,66,79,82,112,141,153,162,188,194,205,208],"prefrontal":[8],"cortex,":[9],"is":[10,99,132],"highly":[11],"heterogeneous,":[12],"with":[13,106,161,216],"selective":[14,86],"responses":[15,45,53,212],"to":[16,111,116,128,175],"diverse":[17],"aspects":[18,192],"executed":[21],"task.":[22],"We":[23],"propose":[24],"a":[25,47,130,147,176],"general":[26,219],"model":[27,189],"recurrent":[29,113],"neural":[30,75,80,211,224],"networks":[31,225],"that":[32,40,59,104,171,226],"perform":[33,227],"complex":[34,228],"rule-based":[35],"tasks,":[36],"and":[37,92,115,167,213,218],"we":[38,57],"show":[39],"diversity":[42,209],"neuronal":[44],"plays":[46],"fundamental":[48],"role":[49],"when":[50,60],"behavioral":[52],"are":[54,69],"context-dependent.":[55],"Specifically,":[56],"found":[58],"inner":[62,93],"mental":[63,94,168],"states":[64],"encoding":[65,118],"task":[67,131],"rules":[68],"represented":[70],"by":[71,102],"stable":[72],"patterns":[73],"(attractors":[77],"dynamics),":[81],"neurons":[83,103,117,126,144,157],"must":[84],"be":[85],"for":[87,221],"combinations":[88],"sensory":[90,119],"stimuli":[91],"states.":[95],"Such":[96],"mixed":[97],"selectivity":[98],"easily":[100],"obtained":[101],"connect":[105],"random":[107],"synaptic":[108],"strengths":[109],"both":[110],"network":[114,148],"inputs.":[120],"The":[121],"number":[122,142,154,163],"randomly":[124],"connected":[125],"needed":[127,145,156],"solve":[129],"on":[133],"average":[134],"only":[135,159],"three":[136],"times":[137],"as":[138,140],"large":[139,177],"designed":[149],"ad":[150],"hoc.":[151],"Moreover,":[152],"grows":[158],"linearly":[160],"task-relevant":[165],"events":[166,180],"states,":[169],"provided":[170],"each":[172],"neuron":[173],"responds":[174],"proportion":[178],"(dense/distributed":[181],"coding).":[182],"A":[183],"biologically":[184],"realistic":[185],"implementation":[186],"captures":[190],"several":[191],"recorded":[196],"from":[197],"monkeys":[198],"performing":[199],"context-dependent":[200],"tasks.":[201],"Our":[202],"findings":[203],"explain":[204],"importance":[206],"provide":[214],"us":[215],"simple":[217],"principles":[220],"designing":[222],"attractor":[223],"computation.":[229]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2153719229","counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":21},{"year":2012,"cited_by_count":8}],"updated_date":"2025-04-24T02:41:10.103532","created_date":"2016-06-24"}