{"id":"https://openalex.org/W2590718101","doi":"https://doi.org/10.1109/icci-cc.2016.7862080","title":"Development and application of an algorithm for extracting multiple linear regression equations from artificial neural networks for nonlinear regression problems","display_name":"Development and application of an algorithm for extracting multiple linear regression equations from artificial neural networks for nonlinear regression problems","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2590718101","doi":"https://doi.org/10.1109/icci-cc.2016.7862080","mag":"2590718101"},"language":"en","primary_location":{"id":"doi:10.1109/icci-cc.2016.7862080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icci-cc.2016.7862080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 15th International Conference on Cognitive Informatics &amp; Cognitive Computing (ICCI*CC)","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/A5043523935","display_name":"Veronica Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I194028371","display_name":"University of Regina","ror":"https://ror.org/03dzc0485","country_code":"CA","type":"education","lineage":["https://openalex.org/I194028371"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Veronica Chan","raw_affiliation_strings":["Faculty of Engineering and Applied Science, University of Regina, Regina, SK, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Applied Science, University of Regina, Regina, SK, Canada","institution_ids":["https://openalex.org/I194028371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041653123","display_name":"Christine W. Chan","orcid":"https://orcid.org/0000-0003-0547-761X"},"institutions":[{"id":"https://openalex.org/I194028371","display_name":"University of Regina","ror":"https://ror.org/03dzc0485","country_code":"CA","type":"education","lineage":["https://openalex.org/I194028371"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Christine W. Chan","raw_affiliation_strings":["Faculty of Engineering and Applied Science, University of Regina, Regina, SK, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Applied Science, University of Regina, Regina, SK, Canada","institution_ids":["https://openalex.org/I194028371"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043523935"],"corresponding_institution_ids":["https://openalex.org/I194028371"],"apc_list":null,"apc_paid":null,"fwci":2.9993,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93175273,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"479","last_page":"488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9805999994277954,"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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.7941529154777527},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.7782742977142334},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6136831641197205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6106582283973694},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.5828548669815063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5610130429267883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4484800696372986},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4300791025161743},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4160427451133728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3162424564361572},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0834926962852478},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07684999704360962}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7941529154777527},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.7782742977142334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6136831641197205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6106582283973694},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.5828548669815063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5610130429267883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4484800696372986},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4300791025161743},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4160427451133728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3162424564361572},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0834926962852478},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07684999704360962},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icci-cc.2016.7862080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icci-cc.2016.7862080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 15th International Conference on Cognitive Informatics &amp; Cognitive Computing (ICCI*CC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332688","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W153697471","https://openalex.org/W1491127199","https://openalex.org/W1506077561","https://openalex.org/W1969097421","https://openalex.org/W1971797045","https://openalex.org/W1977726304","https://openalex.org/W2000257498","https://openalex.org/W2003463929","https://openalex.org/W2024347756","https://openalex.org/W2052065348","https://openalex.org/W2063046703","https://openalex.org/W2063689928","https://openalex.org/W2100066980","https://openalex.org/W2114333256","https://openalex.org/W2133990480","https://openalex.org/W2136734237","https://openalex.org/W2951041267","https://openalex.org/W3120740533","https://openalex.org/W4244296837","https://openalex.org/W6606236773","https://openalex.org/W6629311965"],"related_works":["https://openalex.org/W4385957115","https://openalex.org/W2061372042","https://openalex.org/W3047779762","https://openalex.org/W1520030019","https://openalex.org/W2071654592","https://openalex.org/W2088157920","https://openalex.org/W4283785902","https://openalex.org/W4313324256","https://openalex.org/W3104477175","https://openalex.org/W3170224572"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"the":[3,19,23,34,43,48,70,78,83,89,97,106,110,114,126,129,133,136,143,148],"development":[4],"and":[5,82,113],"application":[6,154],"of":[7,36,47,77,99,128,135,138,142],"a":[8],"decomposition":[9],"neural":[10,27,54,92],"network":[11,28,55,93],"rule":[12],"extraction":[13],"algorithm":[14,20,59,71,130,149],"for":[15,153],"nonlinear":[16],"regression":[17],"problems,":[18],"is":[21,118],"called":[22],"piece-wise":[24],"linear":[25,37],"artificial":[26,53],"or":[29],"PWL-ANN":[30],"algorithm.":[31],"Rules":[32],"in":[33,51,155],"form":[35],"equations":[38],"are":[39,122],"generated":[40],"by":[41,105],"approximating":[42],"sigmoid":[44],"activation":[45],"functions":[46],"hidden":[49,111],"neurons":[50,112],"an":[52],"(ANN).":[56],"The":[57,65],"developed":[58],"was":[60],"applied":[61],"to":[62,88],"nineteen":[63,79],"datasets.":[64],"preliminary":[66],"results":[67,74,84],"showed":[68],"that":[69,120],"gives":[72],"satisfactory":[73],"on":[75,109],"sixteen":[76],"tested":[80],"datasets":[81],"demonstrate":[85],"high":[86],"fidelity":[87,127],"originally":[90],"trained":[91],"models.":[94],"By":[95],"analyzing":[96],"values":[98],"R":[100],"<sup":[101],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[102],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[103],"given":[104,144],"PWL":[107],"approximation":[108,137],"overall":[115],"output,":[116],"it":[117],"evident":[119],"there":[121],"more":[123],"factors":[124],"affecting":[125],"apart":[131],"from":[132],"precision":[134],"each":[139],"individual":[140],"node":[141],"ANN":[145],"model.":[146],"Nevertheless,":[147],"shows":[150],"promising":[151],"potential":[152],"engineering":[156],"problems.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}