{"id":"https://openalex.org/W2143001921","doi":"https://doi.org/10.1109/tcsi.2005.846662","title":"Stable computational dynamics for a class of circuits with O(N) interconnections capable of KWTA and rank extractions","display_name":"Stable computational dynamics for a class of circuits with O(N) interconnections capable of KWTA and rank extractions","publication_year":2005,"publication_date":"2005-05-01","ids":{"openalex":"https://openalex.org/W2143001921","doi":"https://doi.org/10.1109/tcsi.2005.846662","mag":"2143001921"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2005.846662","pdf_url":null,"source":{"id":"https://openalex.org/S4210171352","display_name":"IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications","issn_l":"1057-7122","issn":["1057-7122","1558-1268"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5054792311","display_name":"Corneliu A. Marinov","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]},{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"C.A. Marinov","raw_affiliation_strings":["Department of Electrical Engineering, Polytechnic University of Bucharest, Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Polytechnic University of Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I141595442","https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001584643","display_name":"J. J. Hopfield","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.J. Hopfield","raw_affiliation_strings":["Department of Molecular Biology, Princeton University, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Molecular Biology, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.984,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":50,"citation_normalized_percentile":{"value":0.92321,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"52","issue":"5","first_page":"949","last_page":"959"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998,"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":0.9998,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9962,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.638993},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6295244},{"id":"https://openalex.org/keywords/electrical-element","display_name":"Electrical element","score":0.48491865}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.638993},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6295244},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.60100234},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5664371},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5561903},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.53235155},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.4915131},{"id":"https://openalex.org/C113089479","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Electrical element","level":2,"score":0.48491865},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4812893},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43936348},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43806788},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4325549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41978014},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12965941},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11593291},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10989115},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.085143805},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07859561},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2005.846662","pdf_url":null,"source":{"id":"https://openalex.org/S4210171352","display_name":"IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications","issn_l":"1057-7122","issn":["1057-7122","1558-1268"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":31,"referenced_works":["https://openalex.org/W1597286183","https://openalex.org/W1977390500","https://openalex.org/W1988968070","https://openalex.org/W1990566849","https://openalex.org/W1996912133","https://openalex.org/W2019333729","https://openalex.org/W2023285936","https://openalex.org/W2075138713","https://openalex.org/W2090963365","https://openalex.org/W2099896495","https://openalex.org/W2100885571","https://openalex.org/W2101927907","https://openalex.org/W2102227134","https://openalex.org/W2112246162","https://openalex.org/W2112906478","https://openalex.org/W2114539768","https://openalex.org/W2123668517","https://openalex.org/W2133431320","https://openalex.org/W2133838859","https://openalex.org/W2139016795","https://openalex.org/W2144984933","https://openalex.org/W2147560873","https://openalex.org/W2150835122","https://openalex.org/W2154565014","https://openalex.org/W2155420281","https://openalex.org/W2155698183","https://openalex.org/W2155816520","https://openalex.org/W2161560697","https://openalex.org/W2167854081","https://openalex.org/W4299512035","https://openalex.org/W94566284"],"related_works":["https://openalex.org/W4312353617","https://openalex.org/W4235249401","https://openalex.org/W2950042906","https://openalex.org/W2394097730","https://openalex.org/W2331305369","https://openalex.org/W2260963831","https://openalex.org/W2113405914","https://openalex.org/W2043523297","https://openalex.org/W2022544890","https://openalex.org/W2015200445"],"abstract_inverted_index":{"A":[0,60],"new":[1],"dynamical":[2],"system":[3],"and":[4,9,48,89,119],"computational":[5],"circuit":[6,31,113],"is":[7,33,55,87],"described":[8],"analyzed.":[10],"The":[11,29,112],"dynamics":[12],"permits":[13],"the":[14,35,56,68,71,81,84,97,123],"construction":[15],"of":[16,34,58,70,75,83,96,105,122],"a":[17,25,93],"Lyapunov":[18],"function":[19],"that":[20],"ensures":[21],"global":[22,46],"convergence":[23],"to":[24],"unique":[26],"stable":[27],"equilibrium.":[28],"analog":[30],"realization":[32],"neural":[36],"network":[37],"type,":[38],"with":[39],"N":[40,54],"cells":[41],"represented":[42],"by":[43],"high-gain":[44],"amplifiers,":[45],"feedback,":[47],"at":[49],"most":[50],"2N":[51],"interconnections,":[52],"where":[53],"number":[57],"inputs.":[59],"specific":[61],"application":[62],"(called":[63],"\"the":[64],"K-selector\")":[65],"which":[66],"signals":[67],"ranks":[69],"K":[72],"largest":[73],"elements":[74],"input":[76,98,124],"list":[77],"and,":[78],"in":[79],"parallel":[80],"rank":[82],"(K+1)th":[85],"element,":[86],"designed":[88],"numerically":[90],"tested.":[91],"For":[92],"given":[94],"density":[95],"elements,":[99],"one":[100],"obtains":[101],"feasible":[102],"separation":[103],"intervals":[104],"output":[106],"signals,":[107],"i.e.,":[108],"good":[109],"processing":[110],"performances.":[111],"requires":[114],"an":[115],"appropriate":[116],"control":[117],"source":[118],"suitable":[120],"scaling":[121],"data.":[125]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2143001921","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2024-12-12T15:40:47.177913","created_date":"2016-06-24"}