{"id":"https://openalex.org/W2039097540","doi":"https://doi.org/10.1162/neco.2008.05-07-527","title":"Adaptive Classification of Temporal Signals in Fixed-Weight Recurrent Neural Networks: An Existence Proof","display_name":"Adaptive Classification of Temporal Signals in Fixed-Weight Recurrent Neural Networks: An Existence Proof","publication_year":2008,"publication_date":"2008-04-03","ids":{"openalex":"https://openalex.org/W2039097540","doi":"https://doi.org/10.1162/neco.2008.05-07-527","mag":"2039097540"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2008.05-07-527","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2008.05-07-527","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-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/A5052143104","display_name":"Ivan Tyukin","orcid":"https://orcid.org/0000-0002-7359-7966"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivan Y. Tyukin","raw_affiliation_strings":["Department of Mathematics, School of Mathematics and Computer Science, University of Leicester, Leicester, LE1 7RH, U.K., and Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Mathematics and Computer Science, University of Leicester, Leicester, LE1 7RH, U.K., and Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061971606","display_name":"Danil Prokhorov","orcid":"https://orcid.org/0000-0002-6208-4233"},"institutions":[{"id":"https://openalex.org/I1293612202","display_name":"Toyota Motor Corporation (Switzerland)","ror":"https://ror.org/05p0pbv75","country_code":"CH","type":"company","lineage":["https://openalex.org/I1293612202","https://openalex.org/I4210125472","https://openalex.org/I4210137853"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Danil Prokhorov","raw_affiliation_strings":["Toyota Technical Center, Ann Arbor, MI 48105, U.S.A","Toyota Technical Center, Ann Arbor, MI 48105, U.S.A. dvprokhorov@gmail.com#TAB#"],"affiliations":[{"raw_affiliation_string":"Toyota Technical Center, Ann Arbor, MI 48105, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Toyota Technical Center, Ann Arbor, MI 48105, U.S.A. dvprokhorov@gmail.com#TAB#","institution_ids":["https://openalex.org/I1293612202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017565153","display_name":"Cees van Leeuwen","orcid":"https://orcid.org/0000-0002-4441-2440"},"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":false,"raw_author_name":"Cees van Leeuwen","raw_affiliation_strings":["Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan","Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan. ceesvl@brain.riken.jp#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan","institution_ids":[]},{"raw_affiliation_string":"Laboratory for Perceptual Dynamics, Brain Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan. ceesvl@brain.riken.jp#TAB#","institution_ids":["https://openalex.org/I2800939219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052143104"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5428,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92662571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"10","first_page":"2564","last_page":"2596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6395087242126465},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6193186044692993},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6014289855957031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5827897191047668},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.561926007270813},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.46442854404449463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36931687593460083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3525608777999878},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2951858639717102},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20554590225219727},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09645232558250427},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09424591064453125}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6395087242126465},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6193186044692993},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6014289855957031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5827897191047668},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.561926007270813},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.46442854404449463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36931687593460083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3525608777999878},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2951858639717102},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20554590225219727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09645232558250427},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09424591064453125},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1162/neco.2008.05-07-527","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2008.05-07-527","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmh:oai:lra.le.ac.uk:2381/26765","is_oa":false,"landing_page_url":"http://hdl.handle.net/2381/26765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402365","display_name":"Leicester Research Archive (University of Leicester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153648349","host_organization_name":"University of Leicester","host_organization_lineage":["https://openalex.org/I153648349"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W89297398","https://openalex.org/W1481764136","https://openalex.org/W1489723066","https://openalex.org/W1543420164","https://openalex.org/W1983918081","https://openalex.org/W1998024692","https://openalex.org/W2029136760","https://openalex.org/W2032744756","https://openalex.org/W2036270456","https://openalex.org/W2036636016","https://openalex.org/W2062210787","https://openalex.org/W2072454019","https://openalex.org/W2089876099","https://openalex.org/W2103496339","https://openalex.org/W2104302541","https://openalex.org/W2108440202","https://openalex.org/W2111053603","https://openalex.org/W2116109611","https://openalex.org/W2120999070","https://openalex.org/W2126681784","https://openalex.org/W2127321374","https://openalex.org/W2128084896","https://openalex.org/W2128666650","https://openalex.org/W2133965177","https://openalex.org/W2139923370","https://openalex.org/W2144684177","https://openalex.org/W2145415070","https://openalex.org/W2147499478","https://openalex.org/W2148654448","https://openalex.org/W2155660320","https://openalex.org/W2167854081","https://openalex.org/W2169213281","https://openalex.org/W4237718205","https://openalex.org/W4252715536"],"related_works":["https://openalex.org/W2004357175","https://openalex.org/W2064502186","https://openalex.org/W1990192565","https://openalex.org/W2011422850","https://openalex.org/W2618134602","https://openalex.org/W2084267543","https://openalex.org/W3174521120","https://openalex.org/W2168410743","https://openalex.org/W2080868394","https://openalex.org/W2115950857"],"abstract_inverted_index":{"Recurrent":[0],"neural":[1,93],"networks":[2,49,94],"with":[3],"fixed":[4],"weights":[5],"have":[6,50],"been":[7],"shown":[8],"in":[9,23],"practice":[10],"to":[11,69,115],"successfully":[12],"classify":[13,98],"adaptively":[14,101],"signals":[15,59,68,100],"that":[16,47,63,73,81,90],"vary":[17],"as":[18],"a":[19,44],"function":[20],"of":[21,26,78,108,111],"time":[22],"the":[24,34,58,67,91,106,112],"presence":[25],"additive":[27],"noise":[28,82],"and":[29,80],"parametric":[30,55],"perturbations.":[31],"We":[32,42],"address":[33],"question:":[35],"Can":[36],"this":[37,51],"ability":[38,52],"be":[39,70],"explained":[40],"theoretically?":[41],"provide":[43],"mathematical":[45],"proof":[46],"these":[48],"even":[53],"when":[54],"perturbations":[56],"enter":[57],"nonlinearly.":[60],"The":[61],"restrictions":[62],"we":[64,88],"impose":[65],"on":[66],"classified":[71],"are":[72],"they":[74],"satisfy":[75],"an":[76],"assumption":[77],"nondegeneracy":[79],"amplitude":[83],"is":[84],"sufficiently":[85],"small.":[86],"Further,":[87],"demonstrate":[89],"recurrent":[92],"may":[95],"not":[96],"only":[97],"uncertain":[99,109],"but":[102],"also":[103],"can":[104],"recover":[105],"values":[107],"parameters":[110],"signals,":[113],"up":[114],"their":[116],"equivalence":[117],"classes.":[118]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}