{"id":"https://openalex.org/W3017020119","doi":"https://doi.org/10.1155/2020/8963691","title":"Weight Least Squares Algorithm for Rational Models with Outliers","display_name":"Weight Least Squares Algorithm for Rational Models with Outliers","publication_year":2020,"publication_date":"2020-04-14","ids":{"openalex":"https://openalex.org/W3017020119","doi":"https://doi.org/10.1155/2020/8963691","mag":"3017020119"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8963691","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8963691","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/8963691.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2020/8963691.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101566105","display_name":"LV Li-xin","orcid":"https://orcid.org/0000-0002-2366-4454"},"institutions":[{"id":"https://openalex.org/I4210132399","display_name":"Wuxi Vocational Institute of Commerce","ror":"https://ror.org/03bdrtb23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210132399"]},{"id":"https://openalex.org/I4387152958","display_name":"Wuxi Vocational College of Science and Technology","ror":"https://ror.org/00y0p0f23","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152958"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lixin Lv","raw_affiliation_strings":["Wuxi Vocational College of Science and Technology, Wuxi 214028, China"],"affiliations":[{"raw_affiliation_string":"Wuxi Vocational College of Science and Technology, Wuxi 214028, China","institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110272533","display_name":"Donglei Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132399","display_name":"Wuxi Vocational Institute of Commerce","ror":"https://ror.org/03bdrtb23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210132399"]},{"id":"https://openalex.org/I4387152958","display_name":"Wuxi Vocational College of Science and Technology","ror":"https://ror.org/00y0p0f23","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152958"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donglei Lu","raw_affiliation_strings":["Wuxi Vocational College of Science and Technology, Wuxi 214028, China"],"affiliations":[{"raw_affiliation_string":"Wuxi Vocational College of Science and Technology, Wuxi 214028, China","institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101566105"],"corresponding_institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03890427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9911999702453613,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9911999702453613,"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/T12368","display_name":"Grey System Theory Applications","score":0.9891999959945679,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9872999787330627,"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/outlier","display_name":"Outlier","score":0.8200528025627136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5804191827774048},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5656633377075195},{"id":"https://openalex.org/keywords/least-trimmed-squares","display_name":"Least trimmed squares","score":0.4983346462249756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4850267767906189},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48091909289360046},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.45566147565841675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44423866271972656},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4322059154510498},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4238927960395813},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.4108409881591797},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2558937072753906},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.2257629930973053}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.8200528025627136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5804191827774048},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5656633377075195},{"id":"https://openalex.org/C25294789","wikidata":"https://www.wikidata.org/wiki/Q6510410","display_name":"Least trimmed squares","level":4,"score":0.4983346462249756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4850267767906189},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48091909289360046},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.45566147565841675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44423866271972656},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4322059154510498},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4238927960395813},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.4108409881591797},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2558937072753906},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2257629930973053},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/8963691","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8963691","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/8963691.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8963691","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/8963691.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7a50a66814fe493d98fe9d8e1d337694","is_oa":true,"landing_page_url":"https://doaj.org/article/7a50a66814fe493d98fe9d8e1d337694","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/8963691","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8963691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/8963691","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8963691","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/8963691.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017020119.pdf","grobid_xml":"https://content.openalex.org/works/W3017020119.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1974508623","https://openalex.org/W2044235108","https://openalex.org/W2063749379","https://openalex.org/W2162221983","https://openalex.org/W2171778903","https://openalex.org/W2555921788","https://openalex.org/W2569381866","https://openalex.org/W2573241147","https://openalex.org/W2591941256","https://openalex.org/W2761183543","https://openalex.org/W2767313759","https://openalex.org/W2792051776","https://openalex.org/W2804206910","https://openalex.org/W2808111491","https://openalex.org/W2808365685","https://openalex.org/W2809169308","https://openalex.org/W2883667964","https://openalex.org/W2898607126","https://openalex.org/W2900668712","https://openalex.org/W2903250535","https://openalex.org/W2904045068","https://openalex.org/W2904117453","https://openalex.org/W2942272684","https://openalex.org/W2945331732","https://openalex.org/W2951507907","https://openalex.org/W2966067846","https://openalex.org/W2980799672","https://openalex.org/W2984852226","https://openalex.org/W4255452280"],"related_works":["https://openalex.org/W2939592218","https://openalex.org/W200101083","https://openalex.org/W1991217434","https://openalex.org/W2364160632","https://openalex.org/W1565959718","https://openalex.org/W3127498980","https://openalex.org/W1780286370","https://openalex.org/W1576711534","https://openalex.org/W1522321652","https://openalex.org/W1993519852"],"abstract_inverted_index":{"A":[0,63],"weight":[1],"least":[2,42],"squares":[3,43],"algorithm":[4,47],"is":[5,66],"developed":[6],"for":[7,19],"rational":[8],"models":[9],"with":[10,39],"outliers":[11],"in":[12],"this":[13],"paper.":[14],"Different":[15],"weights":[16],"are":[17],"assigned":[18],"each":[20],"cost":[21,30],"function,":[22],"and":[23],"by":[24,54],"calculating":[25],"the":[26,32,40,45,50,55,70,73],"derivatives":[27],"of":[28,72],"these":[29],"functions,":[31],"parameter":[33,61],"estimates":[34],"can":[35,48],"be":[36],"estimated.":[37],"Compared":[38],"traditional":[41],"algorithm,":[44],"proposed":[46,67,74],"remove":[49],"bad":[51],"effect":[52],"caused":[53],"outliers,":[56],"thus":[57],"has":[58],"more":[59],"accurate":[60],"estimates.":[62],"simulation":[64],"example":[65],"to":[68],"validate":[69],"effectiveness":[71],"algorithm.":[75]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}