{"id":"https://openalex.org/W3044937396","doi":"https://doi.org/10.1109/tr.2020.3001232","title":"Hybrid Learning Algorithm of Radial Basis Function Networks for Reliability Analysis","display_name":"Hybrid Learning Algorithm of Radial Basis Function Networks for Reliability Analysis","publication_year":2020,"publication_date":"2020-07-24","ids":{"openalex":"https://openalex.org/W3044937396","doi":"https://doi.org/10.1109/tr.2020.3001232","mag":"3044937396"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2020.3001232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2020.3001232","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","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/A5100721676","display_name":"Dequan Zhang","orcid":"https://orcid.org/0000-0003-3886-1546"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dequan Zhang","raw_affiliation_strings":["State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000048871","display_name":"Ning Zhang","orcid":"https://orcid.org/0000-0001-5302-600X"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Zhang","raw_affiliation_strings":["State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100608125","display_name":"Nan Ye","orcid":"https://orcid.org/0000-0002-4689-3559"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nan Ye","raw_affiliation_strings":["State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009826094","display_name":"Jianguang Fang","orcid":"https://orcid.org/0000-0003-0119-6108"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jianguang Fang","raw_affiliation_strings":["School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100729784","display_name":"Xu Han","orcid":"https://orcid.org/0000-0002-8967-4372"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Han","raw_affiliation_strings":["State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, School of Mechanical Engineering, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100721676"],"corresponding_institution_ids":["https://openalex.org/I184843921"],"apc_list":null,"apc_paid":null,"fwci":15.9685,"has_fulltext":false,"cited_by_count":159,"citation_normalized_percentile":{"value":0.99409097,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"70","issue":"3","first_page":"887","last_page":"900"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6679341793060303},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.6678801774978638},{"id":"https://openalex.org/keywords/radial-basis-function-network","display_name":"Radial basis function network","score":0.6113073825836182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5716913938522339},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5401841998100281},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.4938872456550598},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4931137263774872},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4753667712211609},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.47444117069244385},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.46223029494285583},{"id":"https://openalex.org/keywords/industrial-robot","display_name":"Industrial robot","score":0.45716843008995056},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4076804220676422},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16387569904327393}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6679341793060303},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.6678801774978638},{"id":"https://openalex.org/C132917294","wikidata":"https://www.wikidata.org/wiki/Q2679684","display_name":"Radial basis function network","level":4,"score":0.6113073825836182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5716913938522339},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5401841998100281},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.4938872456550598},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4931137263774872},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4753667712211609},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.47444117069244385},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.46223029494285583},{"id":"https://openalex.org/C2776126113","wikidata":"https://www.wikidata.org/wiki/Q1128980","display_name":"Industrial robot","level":3,"score":0.45716843008995056},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4076804220676422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16387569904327393},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2020.3001232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2020.3001232","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G1617197325","display_name":null,"funder_award_id":"2017YFB1301300","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G836282769","display_name":null,"funder_award_id":"51905146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W605166617","https://openalex.org/W1965469546","https://openalex.org/W1980697376","https://openalex.org/W1987168058","https://openalex.org/W1988882685","https://openalex.org/W1991548802","https://openalex.org/W1996226468","https://openalex.org/W2002341231","https://openalex.org/W2004894209","https://openalex.org/W2005682232","https://openalex.org/W2010618743","https://openalex.org/W2014715727","https://openalex.org/W2017818133","https://openalex.org/W2018304958","https://openalex.org/W2018430492","https://openalex.org/W2020506134","https://openalex.org/W2024000425","https://openalex.org/W2024352198","https://openalex.org/W2026776168","https://openalex.org/W2030318248","https://openalex.org/W2037505800","https://openalex.org/W2045710089","https://openalex.org/W2047952431","https://openalex.org/W2051070962","https://openalex.org/W2051682137","https://openalex.org/W2058560387","https://openalex.org/W2066924236","https://openalex.org/W2070072742","https://openalex.org/W2073407183","https://openalex.org/W2085351890","https://openalex.org/W2088023283","https://openalex.org/W2140223291","https://openalex.org/W2140313748","https://openalex.org/W2146558801","https://openalex.org/W2153290280","https://openalex.org/W2155399784","https://openalex.org/W2158247472","https://openalex.org/W2161160262","https://openalex.org/W2171277043","https://openalex.org/W2236331705","https://openalex.org/W2280611494","https://openalex.org/W2418610392","https://openalex.org/W2491646000","https://openalex.org/W2510301586","https://openalex.org/W2583134621","https://openalex.org/W2757101479","https://openalex.org/W2765924207","https://openalex.org/W2801888775","https://openalex.org/W2859392153","https://openalex.org/W2891840321","https://openalex.org/W2900325101","https://openalex.org/W2907516957","https://openalex.org/W2912773041","https://openalex.org/W2922446902","https://openalex.org/W2959352224","https://openalex.org/W2963105841","https://openalex.org/W2964403364","https://openalex.org/W2965490185","https://openalex.org/W2984929476","https://openalex.org/W2987991557","https://openalex.org/W2988933536","https://openalex.org/W2999530351","https://openalex.org/W3005526790","https://openalex.org/W4235651604","https://openalex.org/W4248452871","https://openalex.org/W4250317875"],"related_works":["https://openalex.org/W4230534566","https://openalex.org/W1992876914","https://openalex.org/W2184586959","https://openalex.org/W2162304341","https://openalex.org/W162769146","https://openalex.org/W2105180757","https://openalex.org/W1567195887","https://openalex.org/W157952102","https://openalex.org/W1572661297","https://openalex.org/W2374946871"],"abstract_inverted_index":{"With":[0],"the":[1,8,25,33,51,71,75,79,83,87,92,112,117,133,139],"wide":[2],"application":[3],"of":[4,10,15,55,82,138],"industrial":[5,22,26,56],"robots":[6],"in":[7,42,125],"field":[9],"precision":[11],"machining,":[12],"reliability":[13,36,54,95,137],"analysis":[14],"positioning":[16,45,52,93],"accuracy":[17,53,94],"becomes":[18],"increasingly":[19],"important":[20],"for":[21,104],"robots.":[23],"Since":[24],"robot":[27,57],"is":[28,67,96,123],"a":[29,62],"complex":[30],"nonlinear":[31],"system,":[32],"traditional":[34],"approximate":[35],"methods":[37],"often":[38],"produce":[39],"unreliable":[40],"results":[41],"analyzing":[43],"its":[44],"accuracy.":[46],"In":[47],"order":[48],"to":[49,69,131],"study":[50],"more":[58],"efficiently":[59],"and":[60,78,116,136],"accurately,":[61],"radial":[63,106],"basis":[64,107],"function":[65,108],"network":[66],"used":[68],"construct":[70],"mapping":[72],"relationship":[73],"between":[74],"uncertain":[76],"parameters":[77],"position":[80],"coordinates":[81],"end-effector.":[84],"Combining":[85],"with":[86],"Monte":[88],"Carlo":[89],"simulation":[90],"method,":[91],"then":[97],"evaluated.":[98],"A":[99],"novel":[100],"hybrid":[101],"learning":[102,114,121],"algorithm":[103,115],"training":[105],"network,":[109],"which":[110],"integrates":[111],"clustering":[113],"orthogonal":[118],"least":[119],"squares":[120],"algorithm,":[122],"proposed":[124,140],"this":[126],"article.":[127],"Examples":[128],"are":[129],"presented":[130],"illustrate":[132],"high":[134],"proficiency":[135],"method.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":28},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":36},{"year":2022,"cited_by_count":29},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}