{"id":"https://openalex.org/W1969048569","doi":"https://doi.org/10.1145/1553374.1553493","title":"Stochastic methods for <i>l</i> <sub>1</sub> regularized loss minimization","display_name":"Stochastic methods for <i>l</i> <sub>1</sub> regularized loss minimization","publication_year":2009,"publication_date":"2009-06-14","ids":{"openalex":"https://openalex.org/W1969048569","doi":"https://doi.org/10.1145/1553374.1553493","mag":"1969048569"},"language":"en","primary_location":{"id":"doi:10.1145/1553374.1553493","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","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/A5078263052","display_name":"Shai Shalev\u2010Shwartz","orcid":null},"institutions":[{"id":"https://openalex.org/I160992636","display_name":"Toyota Technological Institute at Chicago","ror":"https://ror.org/02sn5gb64","country_code":"US","type":"education","lineage":["https://openalex.org/I160992636"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shai Shalev-Shwartz","raw_affiliation_strings":["Toyota Technological Institute at Chicago, Chicago, IL","Toyota Technological Institute at Chicago, Chicago, IL#TAB#"],"affiliations":[{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I160992636"]},{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL#TAB#","institution_ids":["https://openalex.org/I160992636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051918150","display_name":"Ambuj Tewari","orcid":"https://orcid.org/0000-0001-6969-7844"},"institutions":[{"id":"https://openalex.org/I160992636","display_name":"Toyota Technological Institute at Chicago","ror":"https://ror.org/02sn5gb64","country_code":"US","type":"education","lineage":["https://openalex.org/I160992636"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ambuj Tewari","raw_affiliation_strings":["Toyota Technological Institute at Chicago, Chicago, IL","Toyota Technological Institute at Chicago, Chicago, IL#TAB#"],"affiliations":[{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I160992636"]},{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL#TAB#","institution_ids":["https://openalex.org/I160992636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078263052"],"corresponding_institution_ids":["https://openalex.org/I160992636"],"apc_list":null,"apc_paid":null,"fwci":19.0493,"has_fulltext":false,"cited_by_count":321,"citation_normalized_percentile":{"value":0.99376733,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"929","last_page":"936"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9987999796867371,"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/T12535","display_name":"Machine Learning and Data Classification","score":0.9984999895095825,"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/lasso","display_name":"Lasso (programming language)","score":0.6765856742858887},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6652137041091919},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.619256317615509},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.6167027354240417},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5008113384246826},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48494580388069153},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.48366913199424744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4362002909183502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30899500846862793},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10809764266014099}],"concepts":[{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.6765856742858887},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6652137041091919},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.619256317615509},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.6167027354240417},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5008113384246826},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48494580388069153},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.48366913199424744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4362002909183502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30899500846862793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10809764266014099},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1553374.1553493","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","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":40,"referenced_works":["https://openalex.org/W15020643","https://openalex.org/W62563893","https://openalex.org/W131378802","https://openalex.org/W137193333","https://openalex.org/W1505731132","https://openalex.org/W1524688041","https://openalex.org/W1540586255","https://openalex.org/W1563088657","https://openalex.org/W1601740268","https://openalex.org/W1978259121","https://openalex.org/W1994520254","https://openalex.org/W2013850411","https://openalex.org/W2016384870","https://openalex.org/W2024484010","https://openalex.org/W2027197817","https://openalex.org/W2030811966","https://openalex.org/W2043478128","https://openalex.org/W2063978378","https://openalex.org/W2069317438","https://openalex.org/W2072265605","https://openalex.org/W2096199223","https://openalex.org/W2101159990","https://openalex.org/W2102800374","https://openalex.org/W2113651538","https://openalex.org/W2118075434","https://openalex.org/W2125993116","https://openalex.org/W2129113961","https://openalex.org/W2135046866","https://openalex.org/W2136885855","https://openalex.org/W2139432235","https://openalex.org/W2142623206","https://openalex.org/W2160741287","https://openalex.org/W2164078599","https://openalex.org/W2166183437","https://openalex.org/W2168561598","https://openalex.org/W2616657226","https://openalex.org/W2621075174","https://openalex.org/W3001495003","https://openalex.org/W3105543546","https://openalex.org/W3123423968"],"related_works":["https://openalex.org/W4256576576","https://openalex.org/W3090384609","https://openalex.org/W3194013178","https://openalex.org/W4249086404","https://openalex.org/W4236464082","https://openalex.org/W2790019364","https://openalex.org/W4224283474","https://openalex.org/W3112134528","https://openalex.org/W2041295440","https://openalex.org/W2025513168"],"abstract_inverted_index":{"We":[0,86],"describe":[1],"and":[2,97],"analyze":[3],"two":[4],"stochastic":[5,67,91],"methods":[6,68,92],"for":[7],"l1":[8],"regularized":[9],"loss":[10],"minimization":[11],"problems,":[12],"such":[13],"as":[14],"the":[15,21,31,35,52,66,79,82,88],"Lasso.":[16],"The":[17],"first":[18],"method":[19,33],"updates":[20,34],"weight":[22,37],"of":[23,54,81,90],"a":[24,42],"single":[25,43],"feature":[26],"at":[27,46,58],"each":[28,47],"iteration":[29],"while":[30],"second":[32],"entire":[36],"vector":[38],"but":[39],"only":[40],"uses":[41],"training":[44],"example":[45],"iteration.":[48],"In":[49],"both":[50],"methods,":[51],"choice":[53],"feature/example":[55],"is":[56,84],"uniformly":[57],"random.":[59],"Our":[60],"theoretical":[61],"runtime":[62],"analysis":[63],"suggests":[64],"that":[65],"should":[69],"outperform":[70],"state-of-the-art":[71],"deterministic":[72,76],"approaches,":[73],"including":[74],"their":[75],"counterparts,":[77],"when":[78],"size":[80],"problem":[83],"large.":[85],"demonstrate":[87],"advantage":[89],"by":[93],"experimenting":[94],"with":[95],"synthetic":[96],"natural":[98],"data":[99],"sets.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":23},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":26},{"year":2016,"cited_by_count":46},{"year":2015,"cited_by_count":45},{"year":2014,"cited_by_count":43},{"year":2013,"cited_by_count":35},{"year":2012,"cited_by_count":14}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}