{"id":"https://openalex.org/W4304117832","doi":"https://doi.org/10.1371/journal.pcbi.1010547","title":"Multiple bumps can enhance robustness to noise in continuous attractor networks","display_name":"Multiple bumps can enhance robustness to noise in continuous attractor networks","publication_year":2022,"publication_date":"2022-10-10","ids":{"openalex":"https://openalex.org/W4304117832","doi":"https://doi.org/10.1371/journal.pcbi.1010547","pmid":"https://pubmed.ncbi.nlm.nih.gov/36215305"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1010547","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010547","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1371/journal.pcbi.1010547","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028989065","display_name":"Raymond Wang","orcid":"https://orcid.org/0000-0001-6494-7613"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]},{"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":["JP","US"],"is_corresponding":false,"raw_author_name":"Raymond Wang","raw_affiliation_strings":["Neural Circuits and Computations Unit, RIKEN Center for Brain Science, Wako, Saitama, Japan","Redwood Center for Theoretical Neuroscience, University of California, Berkeley, Berkeley, California, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Neural Circuits and Computations Unit, RIKEN Center for Brain Science, Wako, Saitama, Japan","institution_ids":["https://openalex.org/I2800939219"]},{"raw_affiliation_string":"Redwood Center for Theoretical Neuroscience, University of California, Berkeley, Berkeley, California, United States of America","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047564557","display_name":"Louis Kang","orcid":"https://orcid.org/0000-0002-5702-2740"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Louis Kang","raw_affiliation_strings":["Neural Circuits and Computations Unit, RIKEN Center for Brain Science, Wako, Saitama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-5702-2740","affiliations":[{"raw_affiliation_string":"Neural Circuits and Computations Unit, RIKEN Center for Brain Science, Wako, Saitama, Japan","institution_ids":["https://openalex.org/I2800939219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047564557"],"corresponding_institution_ids":["https://openalex.org/I2800939219"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":1.0596,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7483532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":"10","first_page":"e1010547","last_page":"e1010547"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"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":0.9998999834060669,"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/T10077","display_name":"Neuroscience and Neuropharmacology Research","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular 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/T10448","display_name":"Memory and Neural Mechanisms","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8562502264976501},{"id":"https://openalex.org/keywords/path-integration","display_name":"Path integration","score":0.6617200970649719},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6471875905990601},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5557947754859924},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5450104475021362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4740987718105316},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4677588641643524},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.44956207275390625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38676097989082336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3344351053237915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26898735761642456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2183845341205597},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17513248324394226},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14126786589622498}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8562502264976501},{"id":"https://openalex.org/C96522737","wikidata":"https://www.wikidata.org/wiki/Q17148345","display_name":"Path integration","level":2,"score":0.6617200970649719},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6471875905990601},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5557947754859924},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5450104475021362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4740987718105316},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4677588641643524},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.44956207275390625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38676097989082336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3344351053237915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26898735761642456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2183845341205597},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17513248324394226},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14126786589622498},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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":[{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008322","descriptor_name":"Mammals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008322","descriptor_name":"Mammals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008322","descriptor_name":"Mammals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true}],"locations_count":5,"locations":[{"id":"doi:10.1371/journal.pcbi.1010547","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010547","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:36215305","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36215305","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_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":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:RePEc:plo:pcbi00:1010547","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1010547","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:b193bb51d70a44749470844923cc7739","is_oa":true,"landing_page_url":"https://doaj.org/article/b193bb51d70a44749470844923cc7739","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 18, Iss 10, p e1010547 (2022)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9584540","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9584540","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_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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1010547","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010547","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335125","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":83,"referenced_works":["https://openalex.org/W30129623","https://openalex.org/W1503270516","https://openalex.org/W1867287134","https://openalex.org/W1965850850","https://openalex.org/W1966841546","https://openalex.org/W1967262895","https://openalex.org/W1970792572","https://openalex.org/W1974408180","https://openalex.org/W1980372308","https://openalex.org/W1983918081","https://openalex.org/W1986677428","https://openalex.org/W1989351464","https://openalex.org/W1989512479","https://openalex.org/W1997692559","https://openalex.org/W2004013876","https://openalex.org/W2005935750","https://openalex.org/W2006890787","https://openalex.org/W2008240154","https://openalex.org/W2008579006","https://openalex.org/W2008936540","https://openalex.org/W2014542273","https://openalex.org/W2014966184","https://openalex.org/W2022401803","https://openalex.org/W2025891204","https://openalex.org/W2029374903","https://openalex.org/W2030221612","https://openalex.org/W2030805642","https://openalex.org/W2041245499","https://openalex.org/W2057972462","https://openalex.org/W2074540734","https://openalex.org/W2075376711","https://openalex.org/W2077554996","https://openalex.org/W2092348893","https://openalex.org/W2094930158","https://openalex.org/W2094954027","https://openalex.org/W2096247801","https://openalex.org/W2103236816","https://openalex.org/W2104602632","https://openalex.org/W2107852368","https://openalex.org/W2108550895","https://openalex.org/W2112246162","https://openalex.org/W2115168690","https://openalex.org/W2119727340","https://openalex.org/W2121881115","https://openalex.org/W2127313932","https://openalex.org/W2132238259","https://openalex.org/W2132574297","https://openalex.org/W2144309171","https://openalex.org/W2147634215","https://openalex.org/W2149422514","https://openalex.org/W2152390217","https://openalex.org/W2152829138","https://openalex.org/W2157518752","https://openalex.org/W2165443127","https://openalex.org/W2167403166","https://openalex.org/W2178512648","https://openalex.org/W2203957096","https://openalex.org/W2253328753","https://openalex.org/W2284461153","https://openalex.org/W2610861664","https://openalex.org/W2614915054","https://openalex.org/W2618420889","https://openalex.org/W2793368692","https://openalex.org/W2870230154","https://openalex.org/W2893279778","https://openalex.org/W2950043157","https://openalex.org/W2950376067","https://openalex.org/W2951255200","https://openalex.org/W2962910210","https://openalex.org/W2966418419","https://openalex.org/W2970198847","https://openalex.org/W2971328793","https://openalex.org/W2987011738","https://openalex.org/W2988051529","https://openalex.org/W3103846090","https://openalex.org/W3124629440","https://openalex.org/W3196449271","https://openalex.org/W4205399426","https://openalex.org/W4234152045","https://openalex.org/W4242782161","https://openalex.org/W6677494227","https://openalex.org/W6717862651","https://openalex.org/W6800142634"],"related_works":["https://openalex.org/W2066657385","https://openalex.org/W350721355","https://openalex.org/W2799504568","https://openalex.org/W2045314468","https://openalex.org/W3198794212","https://openalex.org/W3049714198","https://openalex.org/W2960434112","https://openalex.org/W4224222157","https://openalex.org/W1967781719","https://openalex.org/W2160559855"],"abstract_inverted_index":{"A":[0],"central":[1],"function":[2],"of":[3,26,55,68,74,104,140,191,223],"continuous":[4,39,227],"attractor":[5,91,117,228],"networks":[6,22,92,123,229],"is":[7],"encoding":[8,161,235,242],"coordinates":[9],"and":[10,47,57,71,97,110,203,213],"accurately":[11],"updating":[12],"their":[13,99],"values":[14],"through":[15],"path":[16,211],"integration.":[17],"To":[18],"do":[19],"so,":[20],"these":[21],"produce":[23],"localized":[24],"bumps":[25,79,126,174,233,251],"activity":[27,69],"that":[28,146,168],"move":[29],"coherently":[30],"in":[31,112,131,193,215,252],"response":[32],"to":[33,43,101,136,219],"velocity":[34],"inputs.":[35],"In":[36],"the":[37,72,155,169,189,194,221,253],"brain,":[38],"attractors":[40],"are":[41,80,200],"believed":[42],"underlie":[44],"grid":[45,255],"cells":[46],"head":[48],"direction":[49],"cells,":[50],"which":[51],"maintain":[52],"periodic":[53],"representations":[54,61],"position":[56],"orientation,":[58,166],"respectively.":[59],"These":[60],"can":[62,230],"be":[63],"achieved":[64],"with":[65,93,124],"any":[66],"number":[67,184],"bumps,":[70],"consequences":[73],"having":[75],"more":[76,125,137,232],"or":[77],"fewer":[78],"unclear.":[81],"We":[82],"address":[83],"this":[84,181,238],"knowledge":[85],"gap":[86],"by":[87,206],"constructing":[88],"1D":[89],"ring":[90],"different":[94],"bump":[95,132,156,183],"numbers":[96],"characterizing":[98],"responses":[100],"three":[102,121],"types":[103],"noise:":[105],"fluctuating":[106],"inputs,":[107],"spiking":[108],"noise,":[109,226],"deviations":[111,130],"connectivity":[113],"away":[114],"from":[115],"ideal":[116],"configurations.":[118],"Across":[119],"all":[120],"types,":[122],"experience":[127],"less":[128],"noise-driven":[129],"motion.":[133],"This":[134],"translates":[135],"robust":[138],"encodings":[139],"linear":[141,236],"coordinates,":[142],"like":[143,165],"position,":[144],"assuming":[145],"each":[147],"neuron":[148],"represents":[149],"a":[150,162,207],"fixed":[151],"length":[152],"no":[153],"matter":[154],"number.":[157],"Alternatively,":[158],"we":[159],"consider":[160],"circular":[163,243],"coordinate,":[164],"such":[167],"network":[170],"distance":[171],"between":[172],"adjacent":[173],"always":[175],"maps":[176],"onto":[177],"360":[178],"degrees.":[179],"Under":[180],"mapping,":[182],"does":[185],"not":[186],"significantly":[187],"affect":[188],"amount":[190],"error":[192],"coordinate":[195],"readout.":[196],"Our":[197,245],"simulation":[198],"results":[199],"intuitively":[201],"explained":[202],"quantitatively":[204],"matched":[205],"unified":[208],"theory":[209],"for":[210,249],"integration":[212],"noise":[214],"multi-bump":[216],"networks.":[217],"Thus,":[218],"suppress":[220],"effects":[222],"biologically":[224],"relevant":[225],"employ":[231],"when":[234,241],"coordinates;":[237],"advantage":[239],"disappears":[240],"coordinates.":[244],"findings":[246],"provide":[247],"motivation":[248],"multiple":[250],"mammalian":[254],"network.":[256]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
