{"id":"https://openalex.org/W4200333492","doi":"https://doi.org/10.1109/cce53527.2021.9633027","title":"A Generalized Lagrange Multiplier Method for Support Vector Regression","display_name":"A Generalized Lagrange Multiplier Method for Support Vector Regression","publication_year":2021,"publication_date":"2021-11-10","ids":{"openalex":"https://openalex.org/W4200333492","doi":"https://doi.org/10.1109/cce53527.2021.9633027"},"language":"en","primary_location":{"id":"doi:10.1109/cce53527.2021.9633027","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cce53527.2021.9633027","pdf_url":null,"source":{"id":"https://openalex.org/S4363608599","display_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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/A5068384416","display_name":"Sara E. Rodr\u00edguez-Reyes","orcid":null},"institutions":[{"id":"https://openalex.org/I113686770","display_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","ror":"https://ror.org/00cwp6m07","country_code":"MX","type":"education","lineage":["https://openalex.org/I113686770"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Sara Rodriguez-Reyes","raw_affiliation_strings":["Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I113686770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037506159","display_name":"Pablo Benavides-Herrera","orcid":"https://orcid.org/0000-0003-4926-4763"},"institutions":[{"id":"https://openalex.org/I113686770","display_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","ror":"https://ror.org/00cwp6m07","country_code":"MX","type":"education","lineage":["https://openalex.org/I113686770"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Pablo Benavides-Herrera","raw_affiliation_strings":["Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I113686770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014977887","display_name":"Gregorio \u00c1lvarez","orcid":"https://orcid.org/0009-0001-0112-0229"},"institutions":[{"id":"https://openalex.org/I113686770","display_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","ror":"https://ror.org/00cwp6m07","country_code":"MX","type":"education","lineage":["https://openalex.org/I113686770"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gregorio Alvarez","raw_affiliation_strings":["Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I113686770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075102868","display_name":"Riemann Ru\u00edz-Cruz","orcid":"https://orcid.org/0000-0002-7040-257X"},"institutions":[{"id":"https://openalex.org/I113686770","display_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","ror":"https://ror.org/00cwp6m07","country_code":"MX","type":"education","lineage":["https://openalex.org/I113686770"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Riemann Ruiz-Cruz","raw_affiliation_strings":["Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I113686770"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052554617","display_name":"Juan Diego S\u00e1nchez\u2010Torres","orcid":"https://orcid.org/0000-0001-6516-707X"},"institutions":[{"id":"https://openalex.org/I113686770","display_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","ror":"https://ror.org/00cwp6m07","country_code":"MX","type":"education","lineage":["https://openalex.org/I113686770"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Diego Sanchez-Torres","raw_affiliation_strings":["Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, ITESO, Tlaquepaque, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I113686770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5068384416"],"corresponding_institution_ids":["https://openalex.org/I113686770"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.31701972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"abs 1303 1152","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962999820709229,"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":0.9962999820709229,"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/T11236","display_name":"Control Systems and Identification","score":0.992900013923645,"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/T10320","display_name":"Neural Networks and Applications","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7683051228523254},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7490100860595703},{"id":"https://openalex.org/keywords/elastic-net-regularization","display_name":"Elastic net regularization","score":0.6968213319778442},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6750438809394836},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.5529322624206543},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5156377553939819},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5076318979263306},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5029630064964294},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.5015037059783936},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4948253035545349},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4601813554763794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4104054570198059},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3439095914363861},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26738277077674866},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.21155980229377747},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1718069314956665},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.1670612096786499}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7683051228523254},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7490100860595703},{"id":"https://openalex.org/C203868755","wikidata":"https://www.wikidata.org/wiki/Q5353562","display_name":"Elastic net regularization","level":3,"score":0.6968213319778442},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6750438809394836},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.5529322624206543},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5156377553939819},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5076318979263306},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5029630064964294},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.5015037059783936},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4948253035545349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4601813554763794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4104054570198059},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3439095914363861},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26738277077674866},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.21155980229377747},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1718069314956665},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.1670612096786499},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cce53527.2021.9633027","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cce53527.2021.9633027","pdf_url":null,"source":{"id":"https://openalex.org/S4363608599","display_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1487370612","https://openalex.org/W1503196035","https://openalex.org/W1510073064","https://openalex.org/W1560724230","https://openalex.org/W1635526310","https://openalex.org/W1647292442","https://openalex.org/W1964357740","https://openalex.org/W2004915807","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2139212933","https://openalex.org/W2156909104","https://openalex.org/W2769730088","https://openalex.org/W2806604749","https://openalex.org/W2963049858","https://openalex.org/W4250589301","https://openalex.org/W4301501800","https://openalex.org/W6636627454","https://openalex.org/W6684409620"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2058578573","https://openalex.org/W2012871340","https://openalex.org/W3046535663","https://openalex.org/W3035320230","https://openalex.org/W4287694146","https://openalex.org/W3207854495","https://openalex.org/W4317581747","https://openalex.org/W2915353907","https://openalex.org/W2267953278"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3,32,65,72],"approach":[4],"to":[5,39,80,90],"support":[6],"vector":[7],"regression":[8],"that":[9,17],"extends":[10],"the":[11,18,41,45,56,61,75,86,92,97],"classic":[12,19],"Vapnik's":[13],"formulation.":[14],"After":[15],"recalling":[16],"formulation":[20,77],"contains":[21],"a":[22,82],"Lasso":[23],"regularization":[24,43,54,68],"structure":[25],"in":[26,44],"its":[27],"dual":[28,46,58],"form,":[29,50],"we":[30],"propose":[31],"generalized":[33,62],"Lagrangian":[34,63],"function":[35],"with":[36,60],"additional":[37],"terms":[38],"include":[40],"Ridge":[42],"problem.":[47],"In":[48],"this":[49,95],"by":[51],"including":[52],"both":[53],"methods,":[55],"resulting":[57],"problem":[59],"comprises":[64],"elastic":[66],"net":[67],"structure.":[69],"Hence,":[70],"as":[71],"immediate":[73],"consequence,":[74],"classical":[76],"turns":[78],"out":[79],"be":[81],"particular":[83],"case":[84],"of":[85,94,101],"current":[87],"proposal.":[88],"Finally,":[89],"demonstrate":[91],"capabilities":[93],"approach,":[96],"document":[98],"includes":[99],"examples":[100],"predicting":[102],"some":[103],"benchmark":[104],"problems.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
