{"id":"https://openalex.org/W2791631011","doi":"https://doi.org/10.1080/00207160.2018.1427854","title":"General parameterized proximal point algorithm with applications in statistical learning","display_name":"General parameterized proximal point algorithm with applications in statistical learning","publication_year":2018,"publication_date":"2018-01-18","ids":{"openalex":"https://openalex.org/W2791631011","doi":"https://doi.org/10.1080/00207160.2018.1427854","mag":"2791631011"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2018.1427854","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1427854","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.03763","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jianchao Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianchao Bai","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jicheng Li","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jicheng Li","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pingfan Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210149962","display_name":"Sanming University","ror":"https://ror.org/044pany34","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149962"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingfan Dai","raw_affiliation_strings":["Department of Information Engineering, Sanming University, Sanming, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Sanming University, Sanming, China","institution_ids":["https://openalex.org/I4210149962"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jiaofen Li","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaofen Li","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.3379,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67007592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"96","issue":"1","first_page":"199","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5286999940872192,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5286999940872192,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.25589999556541443,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.11590000241994858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.7728000283241272},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5975000262260437},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5673999786376953},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4871000051498413},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4828000068664551},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45489999651908875},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45320001244544983},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.45010000467300415}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7728000283241272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6661999821662903},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5975000262260437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5874000191688538},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4871000051498413},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4828000068664551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47540000081062317},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45489999651908875},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45320001244544983},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.45010000467300415},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.43700000643730164},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.39419999718666077},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.367900013923645},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.3675000071525574},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.34040001034736633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29899999499320984},{"id":"https://openalex.org/C122268817","wikidata":"https://www.wikidata.org/wiki/Q2020318","display_name":"Frank\u2013Wolfe algorithm","level":5,"score":0.29789999127388},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.28780001401901245},{"id":"https://openalex.org/C2982736386","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Statistical learning","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.2531999945640564},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2522999942302704}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160.2018.1427854","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1427854","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.03763","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.03763","pdf_url":"https://arxiv.org/pdf/1812.03763","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.03763","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.03763","pdf_url":"https://arxiv.org/pdf/1812.03763","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3641477787","display_name":null,"funder_award_id":"2016J01028","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G6894517020","display_name":"\u591a\u5c42\u6b21\u7ed3\u6784\u5316\u77e9\u9635\u4f4e\u79e9\u903c\u8fd1\u4e0e\u7a00\u758f\u8868\u793a\u65b9\u6cd5\u5efa\u6a21\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11671318","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W750844137","https://openalex.org/W1953936588","https://openalex.org/W1969198137","https://openalex.org/W2023013873","https://openalex.org/W2046800445","https://openalex.org/W2058532290","https://openalex.org/W2083138589","https://openalex.org/W2132555912","https://openalex.org/W2135779729","https://openalex.org/W2217484818","https://openalex.org/W2315630905","https://openalex.org/W2346428690","https://openalex.org/W2517952166","https://openalex.org/W2523748411","https://openalex.org/W2754227567","https://openalex.org/W2763292376"],"related_works":[],"abstract_inverted_index":{"In":[0],"the":[1,13,20,73,83,90,94,100],"literature,":[2],"there":[3],"are":[4,103],"a":[5,63,68,110],"few":[6],"researches":[7],"to":[8,27],"design":[9],"some":[10,25,87],"parameters":[11,26],"in":[12,58],"proximal":[14,47],"point":[15,48],"algorithm":[16,49,102,121],"(PPA),":[17],"especially":[18],"for":[19,50,71],"multi-objective":[21],"convex":[22,52,77],"optimizations.":[23],"Introducing":[24],"PPA":[28,66],"can":[29],"make":[30],"it":[31],"more":[32,123],"flexible":[33],"and":[34,86,93],"attractive.":[35],"Mainly":[36],"motivated":[37],"by":[38],"our":[39,120],"recent":[40],"work":[41],"[Bai":[42],"et":[43],"al.":[44],"A":[45],"parameterized":[46,65],"separable":[51,75],"optimization.":[53],"Optim":[54],"Lett.":[55],"(2017)":[56],"doi:10.1007/s11590-017-1195-9],":[57],"this":[59],"paper":[60],"we":[61],"develop":[62],"general":[64],"with":[67],"relaxation":[69],"step":[70],"solving":[72,109],"multi-block":[74],"structured":[76],"programming.":[78],"By":[79],"making":[80],"use":[81],"of":[82,99],"variational":[84],"inequality":[85],"mathematical":[88],"identities,":[89],"global":[91],"convergence":[92,97],"worst-case":[95],"O(1/t)":[96],"rate":[98],"proposed":[101],"established.":[104],"Preliminary":[105],"numerical":[106],"experiments":[107],"on":[108],"sparse":[111],"matrix":[112],"minimization":[113],"problem":[114],"from":[115],"statistical":[116],"learning":[117],"validate":[118],"that":[119],"is":[122],"efficient":[124],"than":[125],"several":[126],"state-of-the-art":[127],"algorithms.":[128]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2018-03-29T00:00:00"}