{"id":"https://openalex.org/W1899156254","doi":"https://doi.org/10.1007/978-3-642-15825-4_5","title":"Local Minima of a Quadratic Binary Functional with a Quasi-Hebbian Connection Matrix","display_name":"Local Minima of a Quadratic Binary Functional with a Quasi-Hebbian Connection Matrix","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1899156254","doi":"https://doi.org/10.1007/978-3-642-15825-4_5","mag":"1899156254"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-15825-4_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15825-4_5","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1005.4285","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021408908","display_name":"Iakov Karandashev","orcid":"https://orcid.org/0000-0001-8483-072X"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Yakov Karandashev","raw_affiliation_strings":["CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia"],"affiliations":[{"raw_affiliation_string":"CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063428503","display_name":"Boris Kryzhanovsky","orcid":"https://orcid.org/0000-0002-0901-6370"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Boris Kryzhanovsky","raw_affiliation_strings":["CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia"],"affiliations":[{"raw_affiliation_string":"CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051105003","display_name":"Leonid Litinskii","orcid":"https://orcid.org/0000-0003-3560-160X"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Leonid Litinskii","raw_affiliation_strings":["CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia"],"affiliations":[{"raw_affiliation_string":"CONT SRISA RAS, Moscow, Vavilova St., 44/2, 119333, Russia","institution_ids":["https://openalex.org/I4210115688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021408908"],"corresponding_institution_ids":["https://openalex.org/I4210115688"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.9405,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.95861148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9837999939918518,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.9284294843673706},{"id":"https://openalex.org/keywords/hebbian-theory","display_name":"Hebbian theory","score":0.7982705235481262},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7740836143493652},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6195423007011414},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5965937972068787},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5771856307983398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5459567308425903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4559611976146698},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.44564875960350037},{"id":"https://openalex.org/keywords/binary-quadratic-form","display_name":"Binary quadratic form","score":0.44230031967163086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3683893084526062},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.34996217489242554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24501410126686096},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21546244621276855},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.18621742725372314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14147841930389404},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13548433780670166},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0865449607372284}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.9284294843673706},{"id":"https://openalex.org/C111437709","wikidata":"https://www.wikidata.org/wiki/Q1277874","display_name":"Hebbian theory","level":3,"score":0.7982705235481262},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7740836143493652},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6195423007011414},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5965937972068787},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5771856307983398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5459567308425903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4559611976146698},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44564875960350037},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.44230031967163086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3683893084526062},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.34996217489242554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24501410126686096},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21546244621276855},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.18621742725372314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14147841930389404},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13548433780670166},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0865449607372284},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-642-15825-4_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15825-4_5","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:arXiv.org:1005.4285","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.4285","pdf_url":"https://arxiv.org/pdf/1005.4285","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:arXiv.org:1012.4981","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1012.4981","pdf_url":"https://arxiv.org/pdf/1012.4981","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1899156254","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1005.4285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1005.4285","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1005.4285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.48550/arxiv.1012.4981","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1012.4981","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1005.4285","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.4285","pdf_url":"https://arxiv.org/pdf/1005.4285","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1530042113","https://openalex.org/W2000029333","https://openalex.org/W2043014754","https://openalex.org/W2123996034","https://openalex.org/W2133671888"],"related_works":["https://openalex.org/W3200673791","https://openalex.org/W1590367576","https://openalex.org/W2161369941","https://openalex.org/W2990869866","https://openalex.org/W2932952004","https://openalex.org/W3089667960","https://openalex.org/W3095634332","https://openalex.org/W1975077586","https://openalex.org/W3103180242","https://openalex.org/W2614972784","https://openalex.org/W3060669478","https://openalex.org/W3098725392","https://openalex.org/W2950814273","https://openalex.org/W325400573","https://openalex.org/W3105254325","https://openalex.org/W3027766825","https://openalex.org/W3208474488","https://openalex.org/W2098412674","https://openalex.org/W3126611989","https://openalex.org/W2957844678"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2016-06-24T00:00:00"}