{"id":"https://openalex.org/W2089917240","doi":"https://doi.org/10.1142/s0129065702001072","title":"EFFECTS OF DILATION AND TRANSLATION ON A PERCEPTRON-TYPE LEARNING RULE FOR HIGHER ORDER HOPFIELD NEURAL NETWORKS","display_name":"EFFECTS OF DILATION AND TRANSLATION ON A PERCEPTRON-TYPE LEARNING RULE FOR HIGHER ORDER HOPFIELD NEURAL NETWORKS","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2089917240","doi":"https://doi.org/10.1142/s0129065702001072","mag":"2089917240","pmid":"https://pubmed.ncbi.nlm.nih.gov/12035123"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065702001072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065702001072","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"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 Neural Systems","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/A5009784218","display_name":"Burkhard Lenze","orcid":"https://orcid.org/0000-0002-8651-3653"},"institutions":[{"id":"https://openalex.org/I159743108","display_name":"Dortmund University of Applied Sciences and Arts","ror":"https://ror.org/03dv91853","country_code":"DE","type":"education","lineage":["https://openalex.org/I159743108"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"BURKHARD LENZE","raw_affiliation_strings":["Fachbereich Informatik, Fachhochschule  Dortmund, Postfach 105018, 44047 Dortmund, Germany","Fachbereich Informatik, Fachhochschule Dortmund, Postfach 105018, 44047 Dortmund, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Informatik, Fachhochschule  Dortmund, Postfach 105018, 44047 Dortmund, Germany","institution_ids":["https://openalex.org/I159743108"]},{"raw_affiliation_string":"Fachbereich Informatik, Fachhochschule Dortmund, Postfach 105018, 44047 Dortmund, Germany","institution_ids":["https://openalex.org/I159743108"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011652087","display_name":"J\u00d6RG RADDATZ","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00d6RG RADDATZ","raw_affiliation_strings":["Tr\u00e4nkerhofstr. 39,  53332 Bornheim, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u00e4nkerhofstr. 39,  53332 Bornheim, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13149724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"02","first_page":"83","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9805999994277954,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/computer-science","display_name":"Computer science","score":0.6750619411468506},{"id":"https://openalex.org/keywords/hebbian-theory","display_name":"Hebbian theory","score":0.6467040777206421},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.636538028717041},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6212853789329529},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.567520260810852},{"id":"https://openalex.org/keywords/leabra","display_name":"Leabra","score":0.5338500738143921},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.5313715934753418},{"id":"https://openalex.org/keywords/recall","display_name":"Recall","score":0.5266779661178589},{"id":"https://openalex.org/keywords/learning-rule","display_name":"Learning rule","score":0.5132972598075867},{"id":"https://openalex.org/keywords/multilayer-perceptron","display_name":"Multilayer perceptron","score":0.49479836225509644},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.45410072803497314},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4307669401168823},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3568466901779175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19871240854263306},{"id":"https://openalex.org/keywords/generalization-error","display_name":"Generalization error","score":0.17474737763404846},{"id":"https://openalex.org/keywords/wake-sleep-algorithm","display_name":"Wake-sleep algorithm","score":0.1587880253791809},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08074626326560974}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6750619411468506},{"id":"https://openalex.org/C111437709","wikidata":"https://www.wikidata.org/wiki/Q1277874","display_name":"Hebbian theory","level":3,"score":0.6467040777206421},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.636538028717041},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6212853789329529},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.567520260810852},{"id":"https://openalex.org/C97108695","wikidata":"https://www.wikidata.org/wiki/Q6508265","display_name":"Leabra","level":5,"score":0.5338500738143921},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.5313715934753418},{"id":"https://openalex.org/C100660578","wikidata":"https://www.wikidata.org/wiki/Q18733","display_name":"Recall","level":2,"score":0.5266779661178589},{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.5132972598075867},{"id":"https://openalex.org/C179717631","wikidata":"https://www.wikidata.org/wiki/Q2991667","display_name":"Multilayer perceptron","level":3,"score":0.49479836225509644},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.45410072803497314},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4307669401168823},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3568466901779175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19871240854263306},{"id":"https://openalex.org/C117765406","wikidata":"https://www.wikidata.org/wiki/Q5362437","display_name":"Generalization error","level":3,"score":0.17474737763404846},{"id":"https://openalex.org/C17061570","wikidata":"https://www.wikidata.org/wiki/Q7960888","display_name":"Wake-sleep algorithm","level":4,"score":0.1587880253791809},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08074626326560974},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","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}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","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":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","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":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011939","descriptor_name":"Mental Recall","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011939","descriptor_name":"Mental Recall","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011939","descriptor_name":"Mental Recall","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"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}],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065702001072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065702001072","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"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 Neural Systems","raw_type":"journal-article"},{"id":"pmid:12035123","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12035123","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":"International journal of neural systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1512092998","https://openalex.org/W1822088578","https://openalex.org/W1990710419","https://openalex.org/W1993217627","https://openalex.org/W2040870580","https://openalex.org/W2049175125","https://openalex.org/W2052582531","https://openalex.org/W2053535021","https://openalex.org/W2068777106","https://openalex.org/W2071104295","https://openalex.org/W2087636648","https://openalex.org/W2112246162","https://openalex.org/W2116248957","https://openalex.org/W2128084896"],"related_works":["https://openalex.org/W1978872345","https://openalex.org/W1525325138","https://openalex.org/W2943484315","https://openalex.org/W2143361130","https://openalex.org/W2078098917","https://openalex.org/W1993110512","https://openalex.org/W1530541224","https://openalex.org/W2582265187","https://openalex.org/W1520894008","https://openalex.org/W2899255433"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,108],"will":[4,40,68,80,109],"take":[5],"a":[6,10,56,72,86,123],"further":[7],"look":[8],"at":[9],"generalized":[11,57],"perceptron-like":[12],"learning":[13,51,62,100],"rule":[14,63],"which":[15],"uses":[16],"dilation":[17,113],"and":[18,52,101,114],"translation":[19,115],"parameters":[20,47,116],"in":[21,83],"order":[22,30],"to":[23,118],"enhance":[24],"the":[25,43,49,60,99,105,112],"recall":[26,53,102],"performance":[27],"of":[28,45,59,85,90],"higher":[29],"Hopfield":[31],"neural":[32],"networks":[33],"without":[34],"significantly":[35],"increasing":[36],"their":[37],"complexity.":[38],"We":[39,79],"practically":[41],"study":[42],"influence":[44],"these":[46],"on":[48,71],"perceptron":[50],"process,":[54],"using":[55],"version":[58],"Hebbian":[61],"for":[64,122],"initialization.":[65],"Our":[66],"analysis":[67],"be":[69,94,119],"based":[70],"pattern":[73],"recognition":[74],"problem":[75],"with":[76],"random":[77],"patterns.":[78],"see":[81],"that":[82,111],"case":[84],"highly":[87],"correlated":[88],"set":[89],"patterns,":[91],"there":[92],"can":[93],"gained":[95],"some":[96],"improvements":[97],"concerning":[98],"performance.":[103],"On":[104],"other":[106],"hand,":[107],"show":[110],"have":[117],"chosen":[120],"carefully":[121],"positive":[124],"result.":[125]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}