{"id":"https://openalex.org/W2023166641","doi":"https://doi.org/10.1109/grc.2009.5255133","title":"Pseudo gradient search for solving nonlinear multiregression based on the Choquet integral","display_name":"Pseudo gradient search for solving nonlinear multiregression based on the Choquet integral","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2023166641","doi":"https://doi.org/10.1109/grc.2009.5255133","mag":"2023166641"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2009.5255133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2009.5255133","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Granular Computing","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/A5002248477","display_name":"Bo Guo","orcid":"https://orcid.org/0000-0003-0815-0583"},"institutions":[{"id":"https://openalex.org/I122266389","display_name":"University of Nebraska at Omaha","ror":"https://ror.org/04yrkc140","country_code":"US","type":"education","lineage":["https://openalex.org/I122266389"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bo Guo","raw_affiliation_strings":["Department of Computer Science, University of Nebraska Omaha, Omaha, NE, USA","Department of Computer Science, University of Nebraska at Omaha, 68182, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nebraska Omaha, Omaha, NE, USA","institution_ids":["https://openalex.org/I122266389"]},{"raw_affiliation_string":"Department of Computer Science, University of Nebraska at Omaha, 68182, USA","institution_ids":["https://openalex.org/I122266389"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344522","display_name":"Wei Chen","orcid":"https://orcid.org/0000-0003-0065-3610"},"institutions":[{"id":"https://openalex.org/I122266389","display_name":"University of Nebraska at Omaha","ror":"https://ror.org/04yrkc140","country_code":"US","type":"education","lineage":["https://openalex.org/I122266389"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Chen","raw_affiliation_strings":["Department of Computer Science, University of Nebraska Omaha, Omaha, NE, USA","Department of Computer Science, University of Nebraska at Omaha, 68182, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nebraska Omaha, Omaha, NE, USA","institution_ids":["https://openalex.org/I122266389"]},{"raw_affiliation_string":"Department of Computer Science, University of Nebraska at Omaha, 68182, USA","institution_ids":["https://openalex.org/I122266389"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107949015","display_name":"Zhenyuan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I122266389","display_name":"University of Nebraska at Omaha","ror":"https://ror.org/04yrkc140","country_code":"US","type":"education","lineage":["https://openalex.org/I122266389"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhenyuan Wang","raw_affiliation_strings":["Department of Mathematics, University of Nebraska Omaha, Omaha, NE, USA","Department of Mathematics, University of Nebraska at Omaha, 68182, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska Omaha, Omaha, NE, USA","institution_ids":["https://openalex.org/I122266389"]},{"raw_affiliation_string":"Department of Mathematics, University of Nebraska at Omaha, 68182, USA","institution_ids":["https://openalex.org/I122266389"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002248477"],"corresponding_institution_ids":["https://openalex.org/I122266389"],"apc_list":null,"apc_paid":null,"fwci":0.4017,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67560123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2005","issue":null,"first_page":"180","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9767000079154968,"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/differentiable-function","display_name":"Differentiable function","score":0.7340818643569946},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.7154478430747986},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6453096270561218},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5518039464950562},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5192270874977112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5150351524353027},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4634783864021301},{"id":"https://openalex.org/keywords/pattern-search","display_name":"Pattern search","score":0.43485406041145325},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3979030251502991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36793363094329834},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20974096655845642},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14351186156272888}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7340818643569946},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.7154478430747986},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6453096270561218},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5518039464950562},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5192270874977112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5150351524353027},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4634783864021301},{"id":"https://openalex.org/C82691427","wikidata":"https://www.wikidata.org/wiki/Q4291856","display_name":"Pattern search","level":2,"score":0.43485406041145325},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3979030251502991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36793363094329834},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20974096655845642},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14351186156272888},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2009.5255133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2009.5255133","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W127069151","https://openalex.org/W610008432","https://openalex.org/W1481142035","https://openalex.org/W1830836637","https://openalex.org/W2031391348","https://openalex.org/W2088195363","https://openalex.org/W2113043717","https://openalex.org/W2115227543","https://openalex.org/W2904250082","https://openalex.org/W4299692108"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4213046089","https://openalex.org/W1541916863","https://openalex.org/W2042690472","https://openalex.org/W2110605196","https://openalex.org/W2359864538","https://openalex.org/W4327738859","https://openalex.org/W2036267305","https://openalex.org/W2761247866","https://openalex.org/W2085034432"],"abstract_inverted_index":{"In":[0],"some":[1,19],"real":[2],"optimization":[3,47],"problems,":[4],"the":[5,15,23,32,52],"objective":[6],"function":[7],"may":[8],"not":[9,26],"be":[10],"differentiable":[11],"with":[12,55,65],"respect":[13],"to":[14,38],"unknown":[16],"parameters":[17],"at":[18,28],"points":[20],"such":[21],"that":[22],"gradient":[24,41],"does":[25],"exist":[27],"those":[29],"points.":[30],"Replacing":[31],"classical":[33],"gradient,":[34],"this":[35],"paper":[36],"tries":[37],"use":[39],"pseudo":[40],"search":[42,63,67],"for":[43],"solving":[44],"a":[45,56,61],"nonlinear":[46],"problem-nonlinear":[48],"multiregression":[49],"based":[50],"on":[51],"Choquet":[53],"integral":[54],"linear":[57],"core.":[58],"It":[59],"is":[60],"local":[62],"method":[64],"rapid":[66],"speed.":[68]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
