{"id":"https://openalex.org/W1559492231","doi":"https://doi.org/10.1007/3-540-44868-3_45","title":"Spurious minima and basins of attraction in higher-order Hopfield networks","display_name":"Spurious minima and basins of attraction in higher-order Hopfield networks","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1559492231","doi":"https://doi.org/10.1007/3-540-44868-3_45","mag":"1559492231"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44868-3_45","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44868-3_45","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":"book-chapter","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/A5065204141","display_name":"Miguel Atencia","orcid":"https://orcid.org/0000-0002-5158-5905"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. Atencia","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, E.T.S.I.Inform\u00e1tica, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I.Inform\u00e1tica, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022583798","display_name":"Gonzalo Joya","orcid":"https://orcid.org/0000-0001-9256-0870"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Joya","raw_affiliation_strings":["Departamento de Tecnolog\u00eda Electr\u00f3nica. E.T.S.I.Telecomunicaci\u00f3n, Universidad de M\u00e1laga, Campus de Teatinos, 29071, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Tecnolog\u00eda Electr\u00f3nica. E.T.S.I.Telecomunicaci\u00f3n, Universidad de M\u00e1laga, Campus de Teatinos, 29071, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061295436","display_name":"F. Sandoval","orcid":"https://orcid.org/0000-0001-9235-7856"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Sandoval","raw_affiliation_strings":["Departamento de Tecnolog\u00eda Electr\u00f3nica. E.T.S.I.Telecomunicaci\u00f3n, Universidad de M\u00e1laga, Campus de Teatinos, 29071, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Tecnolog\u00eda Electr\u00f3nica. E.T.S.I.Telecomunicaci\u00f3n, Universidad de M\u00e1laga, Campus de Teatinos, 29071, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065204141"],"corresponding_institution_ids":["https://openalex.org/I82767444"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5524,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65393795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"350","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","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/T10320","display_name":"Neural Networks and Applications","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9979000091552734,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.8510557413101196},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.7431323528289795},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7395128011703491},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7303328514099121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6615371108055115},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.653821587562561},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6269232630729675},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.6037527322769165},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.532594621181488},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4394884407520294},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43718934059143066},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38809067010879517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33337920904159546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23326465487480164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16878092288970947},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14442837238311768},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1065409779548645}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.8510557413101196},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.7431323528289795},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7395128011703491},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7303328514099121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6615371108055115},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.653821587562561},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6269232630729675},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.6037527322769165},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.532594621181488},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4394884407520294},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43718934059143066},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38809067010879517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33337920904159546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23326465487480164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16878092288970947},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14442837238311768},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1065409779548645},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-44868-3_45","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44868-3_45","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.47999998927116394,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W2793079","https://openalex.org/W140737195","https://openalex.org/W144112274","https://openalex.org/W1522512418","https://openalex.org/W1597286183","https://openalex.org/W1868023271","https://openalex.org/W1966085046","https://openalex.org/W2038237190","https://openalex.org/W2073585721","https://openalex.org/W2079153660","https://openalex.org/W2085982859","https://openalex.org/W2089876099","https://openalex.org/W2110326711","https://openalex.org/W2112246162","https://openalex.org/W2117450642","https://openalex.org/W2128110222","https://openalex.org/W2133838859","https://openalex.org/W2144166812","https://openalex.org/W2153792349","https://openalex.org/W2156018913","https://openalex.org/W2157332065","https://openalex.org/W2162611718","https://openalex.org/W2169528473","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W1572705989","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2087062149"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
