{"id":"https://openalex.org/W2907880423","doi":"https://doi.org/10.1109/icarcv.2018.8581109","title":"Neural network with added inertia for linear complementarity problem","display_name":"Neural network with added inertia for linear complementarity problem","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2907880423","doi":"https://doi.org/10.1109/icarcv.2018.8581109","mag":"2907880423"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2018.8581109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2018.8581109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-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/A5001504963","display_name":"Xing He","orcid":"https://orcid.org/0000-0001-8652-8479"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xing He","raw_affiliation_strings":["School of Electronics and Information Engineering, Southwest University, Chongqing, 400715, PR China","School of Electronics and Information Engineering, Southwest University, Chongqing, PR China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Southwest University, Chongqing, 400715, PR China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"School of Electronics and Information Engineering, Southwest University, Chongqing, PR China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033250477","display_name":"Junjian Huang","orcid":"https://orcid.org/0000-0001-7995-092X"},"institutions":[{"id":"https://openalex.org/I4210116144","display_name":"Chongqing University of Education","ror":"https://ror.org/02d06s578","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116144"]},{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjian Huang","raw_affiliation_strings":["TbKey laboratory of Machine Perception and Childrens Intelligence Development, Chongqing University of Education, Chongqing, 400067, China","TbKey laboratory of Machine Perception and Childrens Intelligence Development, Chongqing University of Education, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"TbKey laboratory of Machine Perception and Childrens Intelligence Development, Chongqing University of Education, Chongqing, 400067, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"TbKey laboratory of Machine Perception and Childrens Intelligence Development, Chongqing University of Education, Chongqing, China","institution_ids":["https://openalex.org/I4210116144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033381522","display_name":"Chaojie Li","orcid":"https://orcid.org/0000-0002-0557-1481"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Chaojie Li","raw_affiliation_strings":["School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC, 3350, Australia","School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC, 3350, Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC, Australia","institution_ids":["https://openalex.org/I149672521"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001504963"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16169532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"135","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"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":0.9968000054359436,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/artificial-neural-network","display_name":"Artificial neural network","score":0.721944272518158},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6652387380599976},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6550412774085999},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.5453027486801147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5302217602729797},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4894944429397583},{"id":"https://openalex.org/keywords/inertia","display_name":"Inertia","score":0.46961718797683716},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44429704546928406},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4271603226661682},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3778659403324127},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3726356625556946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3695630133152008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34502533078193665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3007088899612427},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12494564056396484}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.721944272518158},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6652387380599976},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6550412774085999},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.5453027486801147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5302217602729797},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4894944429397583},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.46961718797683716},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44429704546928406},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4271603226661682},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3778659403324127},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3726356625556946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3695630133152008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34502533078193665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3007088899612427},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12494564056396484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icarcv.2018.8581109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2018.8581109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-article"},{"id":"pmh:vital:13975","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/169328","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W104144503","https://openalex.org/W1514218977","https://openalex.org/W1551360398","https://openalex.org/W1597286183","https://openalex.org/W1973079268","https://openalex.org/W1986354788","https://openalex.org/W1988901237","https://openalex.org/W2004413069","https://openalex.org/W2046824311","https://openalex.org/W2051269616","https://openalex.org/W2059056960","https://openalex.org/W2061309766","https://openalex.org/W2080210837","https://openalex.org/W2090689930","https://openalex.org/W2095097511","https://openalex.org/W2099227467","https://openalex.org/W2102227134","https://openalex.org/W2111986387","https://openalex.org/W2125039508","https://openalex.org/W2128234186","https://openalex.org/W2135123488","https://openalex.org/W2136438446","https://openalex.org/W2140603012","https://openalex.org/W2150468523","https://openalex.org/W2157976960","https://openalex.org/W2162009020","https://openalex.org/W2948315098","https://openalex.org/W4210718478","https://openalex.org/W6635603907"],"related_works":["https://openalex.org/W1969702143","https://openalex.org/W4285140249","https://openalex.org/W4233957653","https://openalex.org/W4205608640","https://openalex.org/W2354989395","https://openalex.org/W2369670045","https://openalex.org/W2621841330","https://openalex.org/W2529877681","https://openalex.org/W2062165404","https://openalex.org/W3137607378"],"abstract_inverted_index":{"In":[0],"this":[1,64],"brief,":[2],"considering":[3],"the":[4,39,42,59,78,84,95,113,118],"inertial":[5,13,43],"term":[6,44],"into":[7],"first":[8],"order":[9],"neural":[10,120],"networks(NNs),":[11],"an":[12],"NN(INN)":[14],"modeled":[15],"by":[16],"means":[17],"of":[18,41,51,86,91,98,117],"a":[19],"differential":[20],"inclusion":[21],"is":[22,66,75,81,94],"proposed":[23,79,119],"for":[24,69],"solving":[25],"linear":[26],"complementarity":[27],"problem":[28],"with":[29,36,100],"P":[30,101],"<sub":[31,102],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32,103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[33,104],"matrix.":[34,105],"Compared":[35],"existing":[37],"NNs,":[38,53],"presence":[40],"allows":[45],"us":[46],"to":[47],"overcome":[48],"some":[49],"drawbacks":[50],"many":[52],"which":[54],"are":[55],"constructed":[56],"based":[57],"on":[58,108],"steepest":[60],"descent":[61],"method,":[62],"and":[63,88,115],"model":[65],"more":[67],"convenient":[68],"exploring":[70],"different":[71],"optimal":[72,96],"solution.":[73],"It":[74],"proved":[76],"that":[77],"NN":[80,93],"stable":[82],"in":[83],"sense":[85],"Lyapunov":[87],"any":[89],"equilibrium":[90],"our":[92],"solution":[97],"LCP":[99],"Simulation":[106],"results":[107],"two":[109],"numerical":[110],"examples":[111],"show":[112],"effectiveness":[114],"performance":[116],"network.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-25T14:43:58.451035","created_date":"2025-10-10T00:00:00"}