{"id":"https://openalex.org/W1984794624","doi":"https://doi.org/10.1002/scj.4690271404","title":"Combinatorial optimization neural network having maximum functions in the energy function","display_name":"Combinatorial optimization neural network having maximum functions in the energy function","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1984794624","doi":"https://doi.org/10.1002/scj.4690271404","mag":"1984794624"},"language":"en","primary_location":{"id":"doi:10.1002/scj.4690271404","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690271404","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","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/A5012948876","display_name":"Yoshiaki Watanabe","orcid":"https://orcid.org/0000-0002-1302-0882"},"institutions":[{"id":"https://openalex.org/I177136067","display_name":"Saga University","ror":"https://ror.org/04f4wg107","country_code":"JP","type":"education","lineage":["https://openalex.org/I177136067"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yoshiaki Watanabe","raw_affiliation_strings":["Faculty of Science and Engineering, Saga University, Saga, Japan 840","Yoshiaki Watanabe:  received his B.E., M.E., and Dr. of Eng. degrees from Kyushu University, Fukuoka, Japan, in 1972,1974, and 1978, respectively. He is currently a Professor on the Faculty of Science and Engineering at Saga University, Saga, Japan. His present research interests are in neural networks and optimization"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Saga University, Saga, Japan 840","institution_ids":["https://openalex.org/I177136067"]},{"raw_affiliation_string":"Yoshiaki Watanabe:  received his B.E., M.E., and Dr. of Eng. degrees from Kyushu University, Fukuoka, Japan, in 1972,1974, and 1978, respectively. He is currently a Professor on the Faculty of Science and Engineering at Saga University, Saga, Japan. His present research interests are in neural networks and optimization","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110177237","display_name":"Keiichi Yoshino","orcid":null},"institutions":[{"id":"https://openalex.org/I4210103072","display_name":"Kitakyushu National College of Technology","ror":"https://ror.org/01ezqah87","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210103072"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keiichi Yoshino","raw_affiliation_strings":["Department of Electronics and Control Engineering, Kitakyushu College of Technology, Kitakyushu, Japan 803","Keiichi Yoshino:  received his B.E. and Ph.D. degrees from Saga University, Saga, Japan, in 1980 and 1995, respectively. He is currently a Lecturer in the Department of Electronics and Control Engineering, Kitakyushu College of Technology, Kitakyushu, Japan. His research interest is in neural networks"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Control Engineering, Kitakyushu College of Technology, Kitakyushu, Japan 803","institution_ids":["https://openalex.org/I4210103072"]},{"raw_affiliation_string":"Keiichi Yoshino:  received his B.E. and Ph.D. degrees from Saga University, Saga, Japan, in 1980 and 1995, respectively. He is currently a Lecturer in the Department of Electronics and Control Engineering, Kitakyushu College of Technology, Kitakyushu, Japan. His research interest is in neural networks","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012948876"],"corresponding_institution_ids":["https://openalex.org/I177136067"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10093748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"14","first_page":"29","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9894999861717224,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9588000178337097,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7289737462997437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5914433002471924},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.54967200756073},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5230425596237183},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.501837968826294},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.49695494771003723},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4744095504283905},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4654119312763214},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.45738309621810913},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.4354356527328491},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4268534779548645},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.4126836359500885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38438013195991516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3109816312789917},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.28719329833984375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20444893836975098}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7289737462997437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5914433002471924},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.54967200756073},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5230425596237183},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.501837968826294},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.49695494771003723},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4744095504283905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4654119312763214},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.45738309621810913},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.4354356527328491},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4268534779548645},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.4126836359500885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38438013195991516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3109816312789917},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.28719329833984375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20444893836975098},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/scj.4690271404","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690271404","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1554451661","https://openalex.org/W1597286183","https://openalex.org/W2039541777","https://openalex.org/W2102227134","https://openalex.org/W2158009048","https://openalex.org/W2513354404","https://openalex.org/W2569102372"],"related_works":["https://openalex.org/W2113105772","https://openalex.org/W3092016156","https://openalex.org/W2063554202","https://openalex.org/W1521456446","https://openalex.org/W2560310602","https://openalex.org/W2110203874","https://openalex.org/W1991653136","https://openalex.org/W2551875526","https://openalex.org/W2141236531","https://openalex.org/W1562129571"],"abstract_inverted_index":{"Abstract":[0],"Combinatorial":[1],"optimization":[2,34,69],"problems":[3],"are":[4,83],"solved":[5],"here":[6,74,129],"by":[7],"using":[8],"a":[9,113],"neural":[10,30,58,100,123],"network":[11,59,101,124],"that":[12,45],"includes":[13],"maximum":[14,50,77],"functions":[15,51],"in":[16,26,39,55,93],"the":[17,21,27,32,57,62,76,81,98,103],"energy":[18,22,47,63],"functions.":[19],"Because":[20],"function":[23,48,64,115],"is":[24,43,65,95,105],"bilinear":[25,40],"original":[28],"Hopfield":[29],"network,":[31],"objective":[33],"problem":[35,79],"must":[36],"be":[37,53],"formulated":[38],"form.":[41],"It":[42],"shown":[44],"an":[46],"having":[49,116],"can":[52,109],"formulated;":[54],"addition,":[56],"corresponding":[60],"to":[61,67,97],"able":[66],"solve":[68],"problems.":[70],"The":[71,122],"example":[72],"used":[73],"solves":[75],"satisfiability":[78],"and":[80,102,119],"results":[82],"compared":[84],"with":[85,125],"two":[86],"simple":[87],"algorithms.":[88],"An":[89],"oscillatory":[90,126],"unit":[91],"already":[92],"use":[94],"applied":[96],"proposed":[99],"effect":[104],"examined.":[106],"Neural":[107],"networks":[108],"handle":[110],"solutions":[111],"for":[112],"logical":[114],"5\u201420":[117],"literals":[118],"100\u2014100,000":[120],"nodes.":[121],"units":[127],"presented":[128],"puts":[130],"out":[131],"better":[132],"solutions.":[133]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
