{"id":"https://openalex.org/W2041326400","doi":"https://doi.org/10.1016/s0925-2312(02)00596-9","title":"A learning method in Hopfield neural network for combinatorial optimization problem","display_name":"A learning method in Hopfield neural network for combinatorial optimization problem","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2041326400","doi":"https://doi.org/10.1016/s0925-2312(02)00596-9","mag":"2041326400"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-2312(02)00596-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-2312(02)00596-9","pdf_url":null,"source":{"id":"https://openalex.org/S45693802","display_name":"Neurocomputing","issn_l":"0925-2312","issn":["0925-2312","1872-8286"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neurocomputing","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/A5023801960","display_name":"Rong\u2010Long Wang","orcid":"https://orcid.org/0009-0004-6354-3632"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Rong Long Wang","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama-shi, 930-8555, Japan","Faculty of Engineering, Toyama University, Toyama-shi 930-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama-shi, 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama-shi 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704278","display_name":"Zheng Tang","orcid":"https://orcid.org/0000-0002-6543-7444"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Zheng Tang","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama-shi, 930-8555, Japan","Faculty of Engineering, Toyama University, Toyama-shi 930-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama-shi, 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama-shi 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082827135","display_name":"Qi Cao","orcid":"https://orcid.org/0000-0003-3454-4789"},"institutions":[{"id":"https://openalex.org/I2802083021","display_name":"Toyama College","ror":"https://ror.org/01w6k3w63","country_code":"JP","type":"education","lineage":["https://openalex.org/I2802083021"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Qi Ping Cao","raw_affiliation_strings":["Tateyama Systems Institute, Toyama-shi, 930-0001, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tateyama Systems Institute, Toyama-shi, 930-0001, Japan","institution_ids":["https://openalex.org/I2802083021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023801960"],"corresponding_institution_ids":["https://openalex.org/I42766147"],"apc_list":{"value":2470,"currency":"USD","value_usd":2470},"apc_paid":null,"fwci":1.6906,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.85848141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"1-4","first_page":"1021","last_page":"1024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"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":0.9990000128746033,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9925000071525574,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9728000164031982,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.7464883923530579},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.7279376983642578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7025334239006042},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6808879375457764},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6356050968170166},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6301149129867554},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.587364673614502},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5046559572219849},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.45843228697776794},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43787890672683716},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4309149980545044},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.420595645904541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2301103174686432},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2158432900905609}],"concepts":[{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.7464883923530579},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.7279376983642578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7025334239006042},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6808879375457764},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6356050968170166},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6301149129867554},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.587364673614502},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5046559572219849},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.45843228697776794},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43787890672683716},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4309149980545044},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.420595645904541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2301103174686432},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2158432900905609},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0925-2312(02)00596-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-2312(02)00596-9","pdf_url":null,"source":{"id":"https://openalex.org/S45693802","display_name":"Neurocomputing","issn_l":"0925-2312","issn":["0925-2312","1872-8286"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neurocomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1597286183","https://openalex.org/W2010863474","https://openalex.org/W2112246162","https://openalex.org/W2163428398","https://openalex.org/W3080781218"],"related_works":["https://openalex.org/W2377780853","https://openalex.org/W2067911692","https://openalex.org/W1583474796","https://openalex.org/W2393564127","https://openalex.org/W1585179047","https://openalex.org/W2372825963","https://openalex.org/W2133555285","https://openalex.org/W2386903608","https://openalex.org/W2149784868","https://openalex.org/W1680597863"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}