{"id":"https://openalex.org/W2104961426","doi":"https://doi.org/10.1109/tnn.2008.2003223","title":"A Correlation-Test-Based Validation Procedure for Identified Neural Networks","display_name":"A Correlation-Test-Based Validation Procedure for Identified Neural Networks","publication_year":2008,"publication_date":"2008-12-08","ids":{"openalex":"https://openalex.org/W2104961426","doi":"https://doi.org/10.1109/tnn.2008.2003223","mag":"2104961426","pmid":"https://pubmed.ncbi.nlm.nih.gov/19129033"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2008.2003223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2003223","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.uwe.ac.uk/12576/1/2009_Vol_20_No_1_IEEE_NN.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107466252","display_name":"Li Feng Zhang","orcid":"https://orcid.org/0000-0002-7520-8127"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Feng Zhang","raw_affiliation_strings":["Department of Economic Information Management, School of Information, Renmin University of China, Beijing, China","Dept. of Economic Inf. Manage., Renmin Univ. of China, Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economic Information Management, School of Information, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Dept. of Economic Inf. Manage., Renmin Univ. of China, Beijing","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042073790","display_name":"Quanmin Zhu","orcid":"https://orcid.org/0000-0001-8173-1179"},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Quan Min Zhu","raw_affiliation_strings":["Faculty of Computing, Engineering and Mathematical Sciences, University of West of England, Bristol, UK","Fac. of Comput., Eng. & Math., Sci. Univ. of the West of England, Bristol"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Engineering and Mathematical Sciences, University of West of England, Bristol, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Fac. of Comput., Eng. & Math., Sci. Univ. of the West of England, Bristol","institution_ids":["https://openalex.org/I178535277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035352120","display_name":"A. Longden","orcid":null},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Longden","raw_affiliation_strings":["Faculty of Computing, Engineering and Mathematical Sciences, University of West of England, Bristol, UK","Fac. of Comput., Eng. & Math., Sci. Univ. of the West of England, Bristol"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Engineering and Mathematical Sciences, University of West of England, Bristol, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Fac. of Comput., Eng. & Math., Sci. Univ. of the West of England, Bristol","institution_ids":["https://openalex.org/I178535277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0861,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.93738799,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"1","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10876","display_name":"Fault Detection and Control Systems","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/artificial-neural-network","display_name":"Artificial neural network","score":0.7606377601623535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7011824250221252},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.662244439125061},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5535213351249695},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5136577486991882},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5029188990592957},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4775020480155945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4438023865222931},{"id":"https://openalex.org/keywords/cross-validation","display_name":"Cross-validation","score":0.43446293473243713},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.42580530047416687},{"id":"https://openalex.org/keywords/correlation-coefficient","display_name":"Correlation coefficient","score":0.4201725125312805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24858281016349792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20887067914009094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1627677083015442}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7606377601623535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7011824250221252},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.662244439125061},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5535213351249695},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5136577486991882},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5029188990592957},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4775020480155945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4438023865222931},{"id":"https://openalex.org/C27181475","wikidata":"https://www.wikidata.org/wiki/Q541014","display_name":"Cross-validation","level":2,"score":0.43446293473243713},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.42580530047416687},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.4201725125312805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24858281016349792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20887067914009094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1627677083015442},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tnn.2008.2003223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2003223","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},{"id":"pmid:19129033","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19129033","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks","raw_type":null},{"id":"pmh:oai:eprints.uwe.ac.uk:12576","is_oa":true,"landing_page_url":"http://eprints.uwe.ac.uk/12576/1/2009_Vol_20_No_1_IEEE_NN.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401464","display_name":"UWE Research Repository (UWE Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I178535277","host_organization_name":"University of the West of England","host_organization_lineage":["https://openalex.org/I178535277"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:eprints.uwe.ac.uk:12576","is_oa":true,"landing_page_url":"http://eprints.uwe.ac.uk/12576/1/2009_Vol_20_No_1_IEEE_NN.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401464","display_name":"UWE Research Repository (UWE Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I178535277","host_organization_name":"University of the West of England","host_organization_lineage":["https://openalex.org/I178535277"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2425650676","display_name":"NETWORK: UK-Japan Network on Human Adaptive Mechatronics","funder_award_id":"EP/E025250/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4171317551","display_name":null,"funder_award_id":"EP/E025250/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W257772133","https://openalex.org/W1965324089","https://openalex.org/W1975424366","https://openalex.org/W1997018939","https://openalex.org/W2006250902","https://openalex.org/W2006665115","https://openalex.org/W2015801280","https://openalex.org/W2016033520","https://openalex.org/W2024426258","https://openalex.org/W2024565720","https://openalex.org/W2055051574","https://openalex.org/W2060472901","https://openalex.org/W2064517346","https://openalex.org/W2068055948","https://openalex.org/W2081422011","https://openalex.org/W2096876657","https://openalex.org/W2105245204","https://openalex.org/W2107650052","https://openalex.org/W2117165699","https://openalex.org/W2143870680","https://openalex.org/W2149940454","https://openalex.org/W2155482699","https://openalex.org/W2171400301","https://openalex.org/W2313953460","https://openalex.org/W2497745296","https://openalex.org/W4231409469","https://openalex.org/W4244624179","https://openalex.org/W4252179934"],"related_works":["https://openalex.org/W157430051","https://openalex.org/W101545985","https://openalex.org/W2243985658","https://openalex.org/W3016925281","https://openalex.org/W1966835268","https://openalex.org/W2365000495","https://openalex.org/W4281986673","https://openalex.org/W2007909573","https://openalex.org/W3016472996","https://openalex.org/W3123632890"],"abstract_inverted_index":{"In":[0],"this":[1,65,84],"study,":[2],"an":[3,95],"enhanced":[4],"correlation-test-based":[5],"validation":[6,30,58,71],"procedure":[7],"is":[8,81],"developed":[9],"to":[10,67,107],"check":[11],"the":[12,29,49,56,70,74,78,91,109],"quality":[13],"of":[14,20,77,89,98],"identified":[15,100],"neural":[16,101],"networks":[17],"in":[18,48,64,111],"modeling":[19],"nonlinear":[21],"systems.":[22],"The":[23],"new":[24,57],"computation":[25],"algorithm":[26],"up":[27],"grades":[28],"power":[31],"by":[32],"including":[33],"a":[34],"direct":[35],"correlation":[36,92],"test":[37],"between":[38],"residuals":[39],"and":[40,73,103],"delayed":[41],"outputs":[42],"that":[43,83],"have":[44],"been":[45],"quoted":[46],"indirectly":[47],"most":[50],"previous":[51],"approaches.":[52],"Furthermore,":[53],"based":[54],"on":[55],"procedure,":[59],"three":[60],"guidelines":[61],"are":[62,94],"proposed":[63],"study":[66,85],"help":[68],"explain":[69],"results":[72],"statistic":[75],"properties":[76],"residuals.":[79],"It":[80],"hoped":[82],"could":[86],"promote":[87],"awareness":[88],"why":[90],"tests":[93,110],"effective":[96],"method":[97],"validating":[99],"networks,":[102],"provide":[104],"examples":[105],"how":[106],"use":[108],"user":[112],"applications.":[113]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}