{"id":"https://openalex.org/W2896723012","doi":"https://doi.org/10.1142/s0219691319500048","title":"Convergence rate of SVM for kernel-based robust regression","display_name":"Convergence rate of SVM for kernel-based robust regression","publication_year":2018,"publication_date":"2018-10-08","ids":{"openalex":"https://openalex.org/W2896723012","doi":"https://doi.org/10.1142/s0219691319500048","mag":"2896723012"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691319500048","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691319500048","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5119266236","display_name":"Shuhua Wang","orcid":"https://orcid.org/0000-0002-8825-8027"},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuhua Wang","raw_affiliation_strings":["School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085972671","display_name":"Zhenlong Chen","orcid":"https://orcid.org/0000-0002-0598-3099"},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenlong Chen","raw_affiliation_strings":["School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106416702","display_name":"Baohuai Sheng","orcid":"https://orcid.org/0000-0003-2593-0645"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baohuai Sheng","raw_affiliation_strings":["Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8327,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71298772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"17","issue":"01","first_page":"1950004","last_page":"1950004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9646000266075134,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9391999840736389,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.7635217905044556},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.6758926510810852},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6439776420593262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6413964629173279},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5960887670516968},{"id":"https://openalex.org/keywords/robust-regression","display_name":"Robust regression","score":0.5929136276245117},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5339264869689941},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.529984712600708},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45439672470092773},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.44534674286842346},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42956608533859253},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4154358506202698},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40966540575027466},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3612804710865021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3128269910812378},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26842552423477173},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2383328378200531},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0899219810962677},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.05787217617034912}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7635217905044556},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.6758926510810852},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6439776420593262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6413964629173279},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5960887670516968},{"id":"https://openalex.org/C70259352","wikidata":"https://www.wikidata.org/wiki/Q1847839","display_name":"Robust regression","level":3,"score":0.5929136276245117},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5339264869689941},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.529984712600708},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45439672470092773},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.44534674286842346},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42956608533859253},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4154358506202698},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40966540575027466},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3612804710865021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3128269910812378},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26842552423477173},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2383328378200531},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0899219810962677},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.05787217617034912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691319500048","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691319500048","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W596728863","https://openalex.org/W1970789322","https://openalex.org/W1986280275","https://openalex.org/W1990746306","https://openalex.org/W1993927888","https://openalex.org/W1994904367","https://openalex.org/W2007515567","https://openalex.org/W2021044807","https://openalex.org/W2032938012","https://openalex.org/W2041028606","https://openalex.org/W2047278710","https://openalex.org/W2083575259","https://openalex.org/W2089394015","https://openalex.org/W2090761569","https://openalex.org/W2125875378","https://openalex.org/W2127332912","https://openalex.org/W2148603752","https://openalex.org/W2153858539","https://openalex.org/W2158781299","https://openalex.org/W2165952088","https://openalex.org/W2171798319","https://openalex.org/W2210530496","https://openalex.org/W2238584571","https://openalex.org/W2248967249","https://openalex.org/W2254867724","https://openalex.org/W2564476168","https://openalex.org/W2767300398","https://openalex.org/W2773382897","https://openalex.org/W2795431618","https://openalex.org/W2963848220","https://openalex.org/W2964283741","https://openalex.org/W3103100819","https://openalex.org/W4205806204","https://openalex.org/W4240579756"],"related_works":["https://openalex.org/W2202033387","https://openalex.org/W2001725593","https://openalex.org/W2053616442","https://openalex.org/W2095699450","https://openalex.org/W3122166653","https://openalex.org/W2485727134","https://openalex.org/W17538437","https://openalex.org/W2040676043","https://openalex.org/W1977643895","https://openalex.org/W3125145310"],"abstract_inverted_index":{"It":[0],"is":[1,19,22,62,73,79,90],"known":[2],"that":[3],"to":[4],"alleviate":[5],"the":[6,11,13,44,65,70,82,88],"performance":[7,39,89],"deterioration":[8],"caused":[9],"by":[10,43],"outliers,":[12],"robust":[14,51],"support":[15],"vector":[16],"(SV)":[17],"regression":[18,53],"proposed,":[20],"which":[21],"essentially":[23],"a":[24,30,50,59],"convex":[25,46],"optimization":[26],"problem":[27],"associated":[28],"with":[29,64],"non-convex":[31,60],"loss":[32],"function.":[33],"The":[34],"theory":[35,68],"analysis":[36,47,67],"for":[37],"its":[38],"cannot":[40],"be":[41],"finished":[42],"usual":[45],"approach.":[48],"For":[49],"SV":[52],"algorithm":[54],"containing":[55],"two":[56],"homotopy":[57],"parameters,":[58],"method":[61],"developed":[63],"quasiconvex":[66],"and":[69,81],"error":[71],"estimate":[72],"given.":[74],"An":[75],"explicit":[76],"convergence":[77],"rate":[78],"provided,":[80],"effect":[83],"degree":[84],"of":[85],"outliers":[86],"on":[87],"quantitatively":[91],"shown.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}