{"id":"https://openalex.org/W2113274475","doi":"https://doi.org/10.1007/10719871_20","title":"High Order Eigentensors as Symbolic Rules in Competitive Learning","display_name":"High Order Eigentensors as Symbolic Rules in Competitive Learning","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2113274475","doi":"https://doi.org/10.1007/10719871_20","mag":"2113274475"},"language":"en","primary_location":{"id":"doi:10.1007/10719871_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10719871_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5025894735","display_name":"Hod Lipson","orcid":"https://orcid.org/0000-0003-0769-4618"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Hod Lipson","raw_affiliation_strings":["Mechanical Engineering Department, Israel Institute of Technology, Haifa, Israel","Israel Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038789440","display_name":"Hava T. Siegelmann","orcid":"https://orcid.org/0000-0003-4938-8723"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Hava T. Siegelmann","raw_affiliation_strings":["Industrial Engineering and Management Department, Technion, Israel Institute of Technology, Haifa, Israel","Israel Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Management Department, Technion, Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4917,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90863787,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"286","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14394","display_name":"Cognitive Science and Education Research","score":0.8248999714851379,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14394","display_name":"Cognitive Science and Education Research","score":0.8248999714851379,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hebbian-theory","display_name":"Hebbian theory","score":0.8131784200668335},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5942882299423218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4905092120170593},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45977744460105896},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4508483409881592},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44578611850738525},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4382338523864746},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41087931394577026},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3698139190673828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3675726354122162},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11308860778808594},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10875371098518372},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10242220759391785}],"concepts":[{"id":"https://openalex.org/C111437709","wikidata":"https://www.wikidata.org/wiki/Q1277874","display_name":"Hebbian theory","level":3,"score":0.8131784200668335},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5942882299423218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4905092120170593},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45977744460105896},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4508483409881592},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44578611850738525},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4382338523864746},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41087931394577026},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3698139190673828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3675726354122162},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11308860778808594},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10875371098518372},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10242220759391785},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/10719871_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10719871_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.648.7033","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.648.7033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://creativemachines.cornell.edu/sites/default/files/2000_Lipson_HybNeurSys.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1530239534","https://openalex.org/W1554663460","https://openalex.org/W1587467920","https://openalex.org/W1679913846","https://openalex.org/W1982441092","https://openalex.org/W1987801991","https://openalex.org/W1989069564","https://openalex.org/W2026112650","https://openalex.org/W2038128936","https://openalex.org/W2043154233","https://openalex.org/W2054804336","https://openalex.org/W2073568237","https://openalex.org/W2117839624","https://openalex.org/W2117853077","https://openalex.org/W2124776405","https://openalex.org/W2125334673","https://openalex.org/W2141075788","https://openalex.org/W2152637810","https://openalex.org/W2153649609","https://openalex.org/W2157709461","https://openalex.org/W2316478175","https://openalex.org/W2803993057","https://openalex.org/W2949146770","https://openalex.org/W3017143921","https://openalex.org/W4232023503","https://openalex.org/W4237222446","https://openalex.org/W4289259403"],"related_works":["https://openalex.org/W1887191277","https://openalex.org/W2334954212","https://openalex.org/W2776018879","https://openalex.org/W4235288607","https://openalex.org/W4248389398","https://openalex.org/W2329865134","https://openalex.org/W2964285269","https://openalex.org/W2046577163","https://openalex.org/W2018619927","https://openalex.org/W1965976175"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}