{"id":"https://openalex.org/W2897048230","doi":"https://doi.org/10.1137/18m1230323","title":"Stochastic (Approximate) Proximal Point Methods: Convergence, Optimality, and Adaptivity","display_name":"Stochastic (Approximate) Proximal Point Methods: Convergence, Optimality, and Adaptivity","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2897048230","doi":"https://doi.org/10.1137/18m1230323","mag":"2897048230"},"language":"en","primary_location":{"id":"doi:10.1137/18m1230323","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1230323","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.05633","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032636949","display_name":"Hilal Asi","orcid":"https://orcid.org/0000-0003-3930-6958"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hilal Asi","raw_affiliation_strings":["Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061331093","display_name":"John C. Duchi","orcid":"https://orcid.org/0000-0003-0045-7185"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John C. Duchi","raw_affiliation_strings":["Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032636949"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":7.3778,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.9764387,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"29","issue":"3","first_page":"2257","last_page":"2290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9993000030517578,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.9190493822097778},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7129042744636536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6662400364875793},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.606071412563324},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5209164023399353},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5169522166252136},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44080445170402527},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3414066433906555}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9190493822097778},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7129042744636536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6662400364875793},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.606071412563324},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5209164023399353},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5169522166252136},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44080445170402527},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3414066433906555},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1230323","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1230323","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.05633","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.05633","pdf_url":"https://arxiv.org/pdf/1810.05633","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:1810.05633","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.05633","pdf_url":"https://arxiv.org/pdf/1810.05633","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/G2078732327","display_name":null,"funder_award_id":"1553086","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4189481225","display_name":null,"funder_award_id":"N00014-19-1-2288","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":80,"referenced_works":["https://openalex.org/W222645141","https://openalex.org/W949293872","https://openalex.org/W1480376833","https://openalex.org/W1499021337","https://openalex.org/W1509689762","https://openalex.org/W1528905581","https://openalex.org/W1535810436","https://openalex.org/W1541527977","https://openalex.org/W1553702074","https://openalex.org/W1557994858","https://openalex.org/W1568288633","https://openalex.org/W1572403558","https://openalex.org/W1576347883","https://openalex.org/W1577337550","https://openalex.org/W1916951228","https://openalex.org/W1977769089","https://openalex.org/W1992208280","https://openalex.org/W1994616650","https://openalex.org/W2024484010","https://openalex.org/W2033511209","https://openalex.org/W2038497950","https://openalex.org/W2042614948","https://openalex.org/W2045744861","https://openalex.org/W2048305372","https://openalex.org/W2055883125","https://openalex.org/W2069808690","https://openalex.org/W2073750241","https://openalex.org/W2086161653","https://openalex.org/W2087771945","https://openalex.org/W2091825929","https://openalex.org/W2103775046","https://openalex.org/W2113651538","https://openalex.org/W2115364117","https://openalex.org/W2124541940","https://openalex.org/W2125993116","https://openalex.org/W2127838862","https://openalex.org/W2148825261","https://openalex.org/W2156779765","https://openalex.org/W2157791002","https://openalex.org/W2157998899","https://openalex.org/W2158902838","https://openalex.org/W2162287622","https://openalex.org/W2166886563","https://openalex.org/W2167820643","https://openalex.org/W2168231600","https://openalex.org/W2296319761","https://openalex.org/W2334285086","https://openalex.org/W2525518963","https://openalex.org/W2602608495","https://openalex.org/W2695988161","https://openalex.org/W2767603038","https://openalex.org/W2776610675","https://openalex.org/W2798766386","https://openalex.org/W2807842867","https://openalex.org/W2810365967","https://openalex.org/W2919115771","https://openalex.org/W2949521215","https://openalex.org/W2950476268","https://openalex.org/W2962712496","https://openalex.org/W2963005234","https://openalex.org/W2963038274","https://openalex.org/W2963190258","https://openalex.org/W2963353224","https://openalex.org/W2963470657","https://openalex.org/W2963914745","https://openalex.org/W2965497096","https://openalex.org/W3004533406","https://openalex.org/W3029645440","https://openalex.org/W3128015591","https://openalex.org/W3137695714","https://openalex.org/W3147513489","https://openalex.org/W4242472394","https://openalex.org/W4254313632","https://openalex.org/W4293456528","https://openalex.org/W4297796973","https://openalex.org/W4298304654","https://openalex.org/W4300628749","https://openalex.org/W4300801234","https://openalex.org/W4301014524","https://openalex.org/W4320800818"],"related_works":["https://openalex.org/W2012437081","https://openalex.org/W4221167213","https://openalex.org/W2920841750","https://openalex.org/W3188394678","https://openalex.org/W1978745259","https://openalex.org/W3127438322","https://openalex.org/W4287330080","https://openalex.org/W1990112656","https://openalex.org/W2363855676","https://openalex.org/W2152231846"],"abstract_inverted_index":{"We":[0],"develop":[1],"model-based":[2,50],"methods":[3,37,51,84,124],"for":[4],"solving":[5],"stochastic":[6,20,60],"convex":[7],"optimization":[8,97,130],"problems,":[9,98],"introducing":[10],"the":[11,19,28,36,49,108,115],"approximate-proximal":[12],"point,":[13,23],"or":[14],"aProx,":[15],"family,":[16],"which":[17],"includes":[18],"subgradient,":[21],"proximal":[22],"and":[24,41,74,128],"bundle":[25],"methods.":[26,62],"When":[27],"modeling":[29,120],"approaches":[30],"we":[31,65,94],"propose":[32],"are":[33,85],"appropriately":[34],"accurate,":[35],"enjoy":[38,75],"stronger":[39],"convergence":[40,101],"robustness":[42],"guarantees":[43],"than":[44],"classical":[45],"approaches,":[46],"even":[47],"though":[48],"typically":[52],"add":[53],"little":[54],"to":[55,88],"no":[56],"computational":[57],"overhead":[58],"over":[59,121],"subgradient":[61,123],"For":[63],"example,":[64],"show":[66],"that":[67],"improved":[68],"models":[69],"converge":[70],"with":[71],"probability":[72],"1":[73],"optimal":[76],"asymptotic":[77],"normality":[78],"results":[79],"under":[80,102],"weak":[81],"assumptions;":[82],"these":[83],"also":[86],"adaptive":[87],"a":[89],"natural":[90],"class":[91],"of":[92,117],"what":[93],"term":[95],"easy":[96],"achieving":[99],"linear":[100],"appropriate":[103],"strong":[104],"growth":[105],"conditions":[106],"on":[107],"objective.":[109],"Our":[110],"substantial":[111],"experimental":[112],"investigation":[113],"shows":[114],"advantages":[116],"more":[118],"accurate":[119],"standard":[122],"across":[125],"many":[126],"smooth":[127],"nonsmooth":[129],"problems.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}