{"id":"https://openalex.org/W2081379625","doi":"https://doi.org/10.1142/s0218127400001031","title":"CELLULAR NEURAL NETWORKS: LOCAL PATTERNS FOR GENERAL TEMPLATES","display_name":"CELLULAR NEURAL NETWORKS: LOCAL PATTERNS FOR GENERAL TEMPLATES","publication_year":2000,"publication_date":"2000-07-01","ids":{"openalex":"https://openalex.org/W2081379625","doi":"https://doi.org/10.1142/s0218127400001031","mag":"2081379625"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127400001031","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400001031","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5102916977","display_name":"Cheng-Hsiung Hsu","orcid":"https://orcid.org/0000-0001-7565-6352"},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"CHENG-HSIUNG HSU","raw_affiliation_strings":["Department of Mathematics,  National Central University, Chung-Li 32054, Taiwan, R.O.C","Department of Mathematics, National Central University, Chung-Li 32054, Taiwan, R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  National Central University, Chung-Li 32054, Taiwan, R.O.C","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Department of Mathematics, National Central University, Chung-Li 32054, Taiwan, R.O.C","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041798346","display_name":"Jonq Juang","orcid":"https://orcid.org/0000-0001-9563-8143"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"JONQ JUANG","raw_affiliation_strings":["Department of Applied Mathematics,  National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","Department of Applied Mathematics, National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics,  National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108084595","display_name":"Song-Sun Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"SONG-SUN LIN","raw_affiliation_strings":["Department of Applied Mathematics,  National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","Department of Applied Mathematics, National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics,  National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao-Tung University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110004104","display_name":"Wen-Wei Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"WEN-WEI LIN","raw_affiliation_strings":["Department of Mathematics,  National Tsing-Hua University, Hsin-Chu 30050, Taiwan, R.O.C","Department of Mathematics, National Tsing-Hua University, Hsin-Chu 30050, Taiwan, R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  National Tsing-Hua University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Department of Mathematics, National Tsing-Hua University, Hsin-Chu 30050, Taiwan, R.O.C","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5569,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.90791653,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"07","first_page":"1645","last_page":"1659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/template","display_name":"Template","score":0.8866634368896484},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6912325620651245},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6130304336547852},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6015455722808838},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5807482004165649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5696536898612976},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.5137940049171448},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4256005883216858},{"id":"https://openalex.org/keywords/local-area-network","display_name":"Local area network","score":0.42552387714385986},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41115936636924744},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38298463821411133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3501969575881958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3460104465484619},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.306383341550827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.142566978931427},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08897727727890015}],"concepts":[{"id":"https://openalex.org/C82714645","wikidata":"https://www.wikidata.org/wiki/Q438331","display_name":"Template","level":2,"score":0.8866634368896484},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6912325620651245},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6130304336547852},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6015455722808838},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5807482004165649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5696536898612976},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.5137940049171448},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4256005883216858},{"id":"https://openalex.org/C137471899","wikidata":"https://www.wikidata.org/wiki/Q11381","display_name":"Local area network","level":2,"score":0.42552387714385986},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41115936636924744},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38298463821411133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3501969575881958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3460104465484619},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.306383341550827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.142566978931427},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08897727727890015},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127400001031","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400001031","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1502414959","https://openalex.org/W1509576544","https://openalex.org/W1588345844","https://openalex.org/W1967953792","https://openalex.org/W1970739133","https://openalex.org/W1981987846","https://openalex.org/W1982312043","https://openalex.org/W1993693726","https://openalex.org/W1993964461","https://openalex.org/W2032320503","https://openalex.org/W2034476467","https://openalex.org/W2050658773","https://openalex.org/W2056717940","https://openalex.org/W2062011896","https://openalex.org/W2068597145","https://openalex.org/W2084858355","https://openalex.org/W2101495277","https://openalex.org/W2103893462","https://openalex.org/W2109384700","https://openalex.org/W2151162785","https://openalex.org/W2160121923","https://openalex.org/W2171925415","https://openalex.org/W2266946488","https://openalex.org/W2322002063","https://openalex.org/W2560896015","https://openalex.org/W2565191055","https://openalex.org/W3140476490","https://openalex.org/W4234409395"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W4376167435","https://openalex.org/W1530050325","https://openalex.org/W206608699","https://openalex.org/W2024633643","https://openalex.org/W2489260869","https://openalex.org/W2000135173"],"abstract_inverted_index":{"This":[0,68],"work":[1],"investigates":[2],"the":[3,18,32,65,75,92],"mosaic":[4],"local":[5,36,54,83],"patterns":[6,37,55,84],"for":[7,73,78,90],"cellular":[8],"neural":[9],"networks":[10],"with":[11],"general":[12],"templates.":[13],"Our":[14],"results":[15,43],"demonstrate":[16,45],"that":[17,46],"set":[19],"of":[20,35,53,82],"templates":[21,48],"can":[22,38,49,57],"be":[23,39,58],"divided":[24],"into":[25],"many":[26],"finite":[27],"regions.":[28],"In":[29],"each":[30],"region,":[31],"same":[33],"family":[34,52,81],"generated.":[40],"Conversely,":[41],"our":[42],"further":[44],"some":[47],"realize":[50],"a":[51,62,79],"which":[56],"linearly":[59],"separated":[60],"by":[61],"hyperplane":[63],"in":[64],"configuration":[66],"space.":[67],"study":[69],"also":[70],"proposes":[71],"algorithms":[72],"verifying":[74],"linear":[76],"separability":[77],"given":[80],"and,":[85],"when":[86],"it":[87],"is":[88],"separable,":[89],"obtaining":[91],"associated":[93],"template.":[94]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
