{"id":"https://openalex.org/W2070276483","doi":"https://doi.org/10.1016/s0031-3203(97)00024-1","title":"Relaxation labeling using augmented lagrange-hopfield method","display_name":"Relaxation labeling using augmented lagrange-hopfield method","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2070276483","doi":"https://doi.org/10.1016/s0031-3203(97)00024-1","mag":"2070276483"},"language":"en","primary_location":{"id":"doi:10.1016/s0031-3203(97)00024-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(97)00024-1","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"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":"Pattern Recognition","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/A5082786719","display_name":"Stan Z. Li","orcid":"https://orcid.org/0000-0002-2961-8096"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Stan Z. Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004699410","display_name":"William Y. C. Soh","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"William Y.C. Soh","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111838060","display_name":"Eam Khwang Teoh","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Eam Khwang Teoh","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering Nanyang Technological University, Singapore 639798 Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082786719"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":2710,"currency":"USD","value_usd":2710},"apc_paid":null,"fwci":1.6478,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86868933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"1","first_page":"73","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9624000191688538,"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":0.9495999813079834,"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/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.9464637041091919},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8848696947097778},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7974266409873962},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.7647152543067932},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6949291825294495},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6398940682411194},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6090213060379028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5845282673835754},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5473567843437195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38220471143722534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34908491373062134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29545462131500244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2880253195762634}],"concepts":[{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.9464637041091919},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8848696947097778},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7974266409873962},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.7647152543067932},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6949291825294495},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6398940682411194},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6090213060379028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5845282673835754},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473567843437195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38220471143722534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34908491373062134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29545462131500244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2880253195762634},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0031-3203(97)00024-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(97)00024-1","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"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":"Pattern Recognition","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.9952","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.9952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/~szli/papers/ALH-RL.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1554544485","https://openalex.org/W1557036499","https://openalex.org/W1597286183","https://openalex.org/W1669104078","https://openalex.org/W1674625176","https://openalex.org/W1965044325","https://openalex.org/W1979622972","https://openalex.org/W1979765608","https://openalex.org/W1982647060","https://openalex.org/W1990852520","https://openalex.org/W2020999234","https://openalex.org/W2024060531","https://openalex.org/W2041985031","https://openalex.org/W2043889640","https://openalex.org/W2051719061","https://openalex.org/W2057624533","https://openalex.org/W2066780173","https://openalex.org/W2079393766","https://openalex.org/W2107792892","https://openalex.org/W2109444197","https://openalex.org/W2112246162","https://openalex.org/W2128566668","https://openalex.org/W2135889985","https://openalex.org/W2136087206","https://openalex.org/W2151061498","https://openalex.org/W2170120409","https://openalex.org/W2386509573","https://openalex.org/W3012317737","https://openalex.org/W3016074254","https://openalex.org/W4212997115","https://openalex.org/W6637397671","https://openalex.org/W6676459577","https://openalex.org/W6680172340","https://openalex.org/W6775638715"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2002102264","https://openalex.org/W4237964977","https://openalex.org/W3105202832","https://openalex.org/W2058578573","https://openalex.org/W2360271985","https://openalex.org/W1996993548","https://openalex.org/W3207854495","https://openalex.org/W2070276483","https://openalex.org/W1510357621"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}