{"id":"https://openalex.org/W2124868328","doi":"https://doi.org/10.1109/tnn.2008.2000393","title":"A New Approach to Knowledge-Based Design of Recurrent Neural Networks","display_name":"A New Approach to Knowledge-Based Design of Recurrent Neural Networks","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2124868328","doi":"https://doi.org/10.1109/tnn.2008.2000393","mag":"2124868328","pmid":"https://pubmed.ncbi.nlm.nih.gov/18701369"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2008.2000393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2000393","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5009399334","display_name":"Eyal Kolman","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"E. Kolman","raw_affiliation_strings":["School of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 69978, Israel. eyal.kolman@nice.com","School of Electrical Engineering-Systems, Tel-Aviv University, Tel-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 69978, Israel. eyal.kolman@nice.com","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Electrical Engineering-Systems, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074869481","display_name":"Michael Margaliot","orcid":"https://orcid.org/0000-0001-8319-8996"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"M. Margaliot","raw_affiliation_strings":["School of Electrical Engineering Systems, Tel-Aviv University, Tel-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering Systems, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":2.9187,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91685583,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"8","first_page":"1389","last_page":"1401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9995999932289124,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9958999752998352,"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/T12254","display_name":"Machine Learning in Bioinformatics","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.8746079802513123},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.758597731590271},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6168321371078491},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4680556654930115},{"id":"https://openalex.org/keywords/subnetwork","display_name":"Subnetwork","score":0.45289790630340576},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44097185134887695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42747700214385986},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36324071884155273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3222203850746155},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13077419996261597}],"concepts":[{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.8746079802513123},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.758597731590271},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6168321371078491},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4680556654930115},{"id":"https://openalex.org/C2780186347","wikidata":"https://www.wikidata.org/wiki/Q11414","display_name":"Subnetwork","level":2,"score":0.45289790630340576},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44097185134887695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42747700214385986},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36324071884155273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3222203850746155},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13077419996261597},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","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":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tnn.2008.2000393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2000393","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks","raw_type":"journal-article"},{"id":"pmid:18701369","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18701369","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":"IEEE transactions on neural networks","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.6027","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.6027","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eng.tau.ac.il/~michaelm/ieee2.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"},{"id":"https://openalex.org/F4320323721","display_name":"Technion-Israel Institute of Technology","ror":"https://ror.org/03qryx823"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W129223803","https://openalex.org/W223746243","https://openalex.org/W364579291","https://openalex.org/W572859077","https://openalex.org/W1507691781","https://openalex.org/W1517386993","https://openalex.org/W1518834418","https://openalex.org/W1524864392","https://openalex.org/W1570445666","https://openalex.org/W1581339770","https://openalex.org/W1594946127","https://openalex.org/W1890888469","https://openalex.org/W1966106237","https://openalex.org/W1971209221","https://openalex.org/W1972085588","https://openalex.org/W1976453110","https://openalex.org/W1982370770","https://openalex.org/W1984666354","https://openalex.org/W1998937898","https://openalex.org/W2009876485","https://openalex.org/W2015844562","https://openalex.org/W2031469331","https://openalex.org/W2034922207","https://openalex.org/W2045441527","https://openalex.org/W2063046703","https://openalex.org/W2066815061","https://openalex.org/W2071906671","https://openalex.org/W2083677758","https://openalex.org/W2088121421","https://openalex.org/W2095727900","https://openalex.org/W2103414828","https://openalex.org/W2106504576","https://openalex.org/W2107466240","https://openalex.org/W2111376097","https://openalex.org/W2112036221","https://openalex.org/W2116723809","https://openalex.org/W2122997647","https://openalex.org/W2124479173","https://openalex.org/W2124652207","https://openalex.org/W2125408827","https://openalex.org/W2131772950","https://openalex.org/W2133671351","https://openalex.org/W2134795071","https://openalex.org/W2138784882","https://openalex.org/W2141703670","https://openalex.org/W2142148616","https://openalex.org/W2143096623","https://openalex.org/W2143545157","https://openalex.org/W2144212877","https://openalex.org/W2144819253","https://openalex.org/W2149359396","https://openalex.org/W2150395249","https://openalex.org/W2152220366","https://openalex.org/W2155092378","https://openalex.org/W2155187269","https://openalex.org/W2157041604","https://openalex.org/W2159111290","https://openalex.org/W2161425694","https://openalex.org/W2165094119","https://openalex.org/W2165538520","https://openalex.org/W2167378781","https://openalex.org/W2189004000","https://openalex.org/W2284837655","https://openalex.org/W2346626577","https://openalex.org/W2481916066","https://openalex.org/W2598771954","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W4247844322","https://openalex.org/W7001503682"],"related_works":["https://openalex.org/W2060724872","https://openalex.org/W2082094785","https://openalex.org/W2202198356","https://openalex.org/W3087203342","https://openalex.org/W2377184161","https://openalex.org/W228984114","https://openalex.org/W4226360758","https://openalex.org/W2151093953","https://openalex.org/W2090026684","https://openalex.org/W1604988569"],"abstract_inverted_index":{"A":[0],"major":[1],"drawback":[2],"of":[3,22,93,125,130,133,166,183,214,220],"artificial":[4],"neural":[5,18],"networks":[6,19],"(ANNs)":[7],"is":[8,13,40,51,88,118,144,154,194],"their":[9,23],"black-box":[10],"character.":[11],"This":[12,204],"especially":[14],"true":[15],"for":[16,53,107,211],"recurrent":[17],"(RNNs)":[20],"because":[21],"intricate":[24],"feedback":[25],"connections.":[26],"In":[27,57],"particular,":[28],"given":[29],"a":[30,62,67,140,148,164,206],"problem":[31,193],"and":[32,174,208,230],"some":[33],"initial":[34,191],"information":[35],"concerning":[36],"its":[37],"solution,":[38],"it":[39],"not":[41],"at":[42],"all":[43],"obvious":[44],"how":[45],"to":[46,71,91,100,113,139,162],"design":[47,105,163,192,213],"an":[48,83,94],"RNN":[49,127,185],"that":[50,87,92,226],"suitable":[52,149],"solving":[54],"this":[55,58,98],"problem.":[56],"paper,":[59],"we":[60],"consider":[61],"fuzzy":[63,74],"rule":[64,76],"base":[65,77],"with":[66],"special":[68],"structure,":[69],"referred":[70,112],"as":[72,114,170,201],"the":[73,80,115,122,126,159,181,190,218],"all-permutations":[75],"(FARB).":[78],"Inferring":[79],"FARB":[81],"yields":[82,205],"input-output":[84],"(IO)":[85],"mapping":[86],"mathematically":[89],"equivalent":[90],"RNN.":[95],"We":[96,216],"use":[97],"equivalence":[99],"develop":[101],"two":[102],"new":[103],"knowledge-based":[104,212],"methods":[106],"RNNs.":[108,178,215],"The":[109,151],"first":[110,157],"method,":[111],"direct":[116,160],"approach,":[117],"based":[119,155],"on":[120,156],"stating":[121],"desired":[123],"functioning":[124],"in":[128],"terms":[129],"several":[131],"sets":[132],"symbolic":[134],"rules,":[135],"each":[136,184],"one":[137],"corresponding":[138],"subnetwork.":[141],"Each":[142],"set":[143],"then":[145],"transformed":[146],"into":[147],"FARB.":[150],"second":[152],"method":[153],"using":[158,177,197],"approach":[161,210],"library":[165],"simple":[167],"modules,":[168],"such":[169],"counters":[171],"or":[172],"comparators,":[173],"realize":[175],"them":[176],"Once":[179],"designed,":[180],"correctness":[182],"can":[186],"be":[187],"verified.":[188],"Then,":[189],"solved":[195],"by":[196,223],"these":[198,221],"basic":[199],"modules":[200],"building":[202],"blocks.":[203],"modular":[207],"systematic":[209],"demonstrate":[217],"efficiency":[219],"approaches":[222],"designing":[224],"RNNs":[225],"recognize":[227],"both":[228],"regular":[229],"nonregular":[231],"formal":[232],"languages.":[233]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}