{"id":"https://openalex.org/W1526196680","doi":"https://doi.org/10.1023/a:1020334127827","title":"Visualization and Genetic Algorithms in Minimax Theory for Nonlinear Functionals","display_name":"Visualization and Genetic Algorithms in Minimax Theory for Nonlinear Functionals","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W1526196680","doi":"https://doi.org/10.1023/a:1020334127827","mag":"1526196680"},"language":"en","primary_location":{"id":"doi:10.1023/a:1020334127827","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020334127827","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5040643591","display_name":"Xiyu Liu","orcid":"https://orcid.org/0000-0003-4976-9227"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]},{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Xiyu Liu","raw_affiliation_strings":["The Design Technology Research Center, School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. School of Information and Management, Shandong Normal University, Jinan, Shandong, 250014, People's Republic of China","The Design Technology Research Center, School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. School of Information and Management, Shandong Normal University, Jinan, Sha "],"affiliations":[{"raw_affiliation_string":"The Design Technology Research Center, School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. School of Information and Management, Shandong Normal University, Jinan, Shandong, 250014, People's Republic of China","institution_ids":["https://openalex.org/I28006308","https://openalex.org/I14243506"]},{"raw_affiliation_string":"The Design Technology Research Center, School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. School of Information and Management, Shandong Normal University, Jinan, Sha ","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"John Frazer","orcid":null},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"John Frazer","raw_affiliation_strings":["School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR","School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. sdfrazer@polyu.edu.hk#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. sdfrazer@polyu.edu.hk#TAB#","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076879802","display_name":"Ming Xi Tang","orcid":"https://orcid.org/0000-0003-1179-2624"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ming Xi Tang","raw_affiliation_strings":["School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR","School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. sdtang@polyu.edu.hk#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"School of Design, The Hong Kong Polytechnic University, Kowloon, Hong Kong, SAR. sdtang@polyu.edu.hk#TAB#","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040643591"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I28006308"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14203726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"1","first_page":"49","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13695","display_name":"Aging, Elder Care, and Social Issues","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13099","display_name":"Health, Medicine and Society","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6961373090744019},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6781991720199585},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.628841757774353},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6221385598182678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6100433468818665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5562764406204224},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.502098560333252},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4765475392341614},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.46592992544174194},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4311680197715759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38851112127304077},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3843640685081482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3178651034832001},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14744725823402405},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14215558767318726},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.07082748413085938}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6961373090744019},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6781991720199585},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.628841757774353},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6221385598182678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6100433468818665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5562764406204224},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.502098560333252},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4765475392341614},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.46592992544174194},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4311680197715759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38851112127304077},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3843640685081482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3178651034832001},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14744725823402405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14215558767318726},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.07082748413085938},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1020334127827","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020334127827","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1586313000","https://openalex.org/W1976473199","https://openalex.org/W2093957401","https://openalex.org/W2102100655","https://openalex.org/W2109805926","https://openalex.org/W2119738103"],"related_works":["https://openalex.org/W1481004002","https://openalex.org/W2158676314","https://openalex.org/W2005252069","https://openalex.org/W1501682303","https://openalex.org/W2123006068","https://openalex.org/W2042128148","https://openalex.org/W2049892093","https://openalex.org/W2149934754","https://openalex.org/W2046153987","https://openalex.org/W2152762978","https://openalex.org/W3119746089","https://openalex.org/W1566985963","https://openalex.org/W2291459425","https://openalex.org/W2906427034","https://openalex.org/W1994308954","https://openalex.org/W2125038097","https://openalex.org/W2156013511","https://openalex.org/W1993168817","https://openalex.org/W1994521023","https://openalex.org/W2125668872"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}