{"id":"https://openalex.org/W2963297739","doi":"https://doi.org/10.1109/tit.2017.2749330","title":"Linear Convergence of Stochastic Iterative Greedy Algorithms With Sparse Constraints","display_name":"Linear Convergence of Stochastic Iterative Greedy Algorithms With Sparse Constraints","publication_year":2017,"publication_date":"2017-09-05","ids":{"openalex":"https://openalex.org/W2963297739","doi":"https://doi.org/10.1109/tit.2017.2749330","mag":"2963297739"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2749330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2749330","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5080502920","display_name":"Nam T. Nguyen","orcid":"https://orcid.org/0000-0003-3145-2758"},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nam Nguyen","raw_affiliation_strings":["IBM Thomas J. Watson Research, Yorktown Heights, NY, USA"],"affiliations":[{"raw_affiliation_string":"IBM Thomas J. Watson Research, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024153474","display_name":"Deanna Needell","orcid":"https://orcid.org/0000-0002-8058-8638"},"institutions":[{"id":"https://openalex.org/I106107269","display_name":"Claremont McKenna College","ror":"https://ror.org/04n1me355","country_code":"US","type":"education","lineage":["https://openalex.org/I106107269"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deanna Needell","raw_affiliation_strings":["Claremont McKenna College, Claremont, CA, USA"],"affiliations":[{"raw_affiliation_string":"Claremont McKenna College, Claremont, CA, USA","institution_ids":["https://openalex.org/I106107269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035376796","display_name":"Tina Woolf","orcid":null},"institutions":[{"id":"https://openalex.org/I136722135","display_name":"Claremont Graduate University","ror":"https://ror.org/0157pnt69","country_code":"US","type":"education","lineage":["https://openalex.org/I136722135"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tina Woolf","raw_affiliation_strings":["Claremont Graduate University, Claremont, CA, USA"],"affiliations":[{"raw_affiliation_string":"Claremont Graduate University, Claremont, CA, USA","institution_ids":["https://openalex.org/I136722135"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080502920"],"corresponding_institution_ids":["https://openalex.org/I4210114115"],"apc_list":null,"apc_paid":null,"fwci":9.6213,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.99055217,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"63","issue":"11","first_page":"6869","last_page":"6895"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9990000128746033,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6565971970558167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6010795831680298},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5921996235847473},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.587425708770752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5326447486877441},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.5323805212974548},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5243476033210754},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47385910153388977},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.43656808137893677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38025495409965515},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10514238476753235},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10109072923660278},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.06857982277870178}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6565971970558167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6010795831680298},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5921996235847473},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.587425708770752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5326447486877441},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.5323805212974548},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5243476033210754},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47385910153388977},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.43656808137893677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38025495409965515},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10514238476753235},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10109072923660278},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.06857982277870178},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2749330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2749330","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3988822849","display_name":null,"funder_award_id":"1348721","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W114517082","https://openalex.org/W119997944","https://openalex.org/W1573301526","https://openalex.org/W1583497301","https://openalex.org/W1660222477","https://openalex.org/W1791038712","https://openalex.org/W1939652453","https://openalex.org/W1992208280","https://openalex.org/W1994520254","https://openalex.org/W2007399394","https://openalex.org/W2030811966","https://openalex.org/W2039851473","https://openalex.org/W2048305372","https://openalex.org/W2064076655","https://openalex.org/W2077520262","https://openalex.org/W2084439502","https://openalex.org/W2091638851","https://openalex.org/W2091893102","https://openalex.org/W2095978736","https://openalex.org/W2095984592","https://openalex.org/W2100875869","https://openalex.org/W2103325283","https://openalex.org/W2107059427","https://openalex.org/W2107151623","https://openalex.org/W2109449402","https://openalex.org/W2113651538","https://openalex.org/W2115706991","https://openalex.org/W2116148865","https://openalex.org/W2117686388","https://openalex.org/W2117756735","https://openalex.org/W2129131372","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2145096794","https://openalex.org/W2148469899","https://openalex.org/W2151825876","https://openalex.org/W2153103970","https://openalex.org/W2156779765","https://openalex.org/W2157988812","https://openalex.org/W2162287622","https://openalex.org/W2162451874","https://openalex.org/W2162708633","https://openalex.org/W2164452299","https://openalex.org/W2167077875","https://openalex.org/W2289917018","https://openalex.org/W2296319761","https://openalex.org/W2296616510","https://openalex.org/W2345561455","https://openalex.org/W2406730648","https://openalex.org/W2550629656","https://openalex.org/W2554489331","https://openalex.org/W2566240941","https://openalex.org/W2575701667","https://openalex.org/W2950132609","https://openalex.org/W2950190315","https://openalex.org/W2952594493","https://openalex.org/W2962817023","https://openalex.org/W2963227338","https://openalex.org/W2963322354","https://openalex.org/W2963765119","https://openalex.org/W3022380717","https://openalex.org/W3112410551","https://openalex.org/W3124617746","https://openalex.org/W3214217583","https://openalex.org/W4302439355","https://openalex.org/W6634173106","https://openalex.org/W6674802743","https://openalex.org/W6676225092","https://openalex.org/W6682421523","https://openalex.org/W6682550672","https://openalex.org/W6683245038","https://openalex.org/W6684012599","https://openalex.org/W6713795703","https://openalex.org/W6732662633"],"related_works":["https://openalex.org/W2379256376","https://openalex.org/W2107703637","https://openalex.org/W2567231135","https://openalex.org/W2381127329","https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W3015194228","https://openalex.org/W4366280654","https://openalex.org/W3160167280"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"recent":[2],"work":[3],"on":[4],"stochastic":[5,12],"gradient":[6],"descent":[7],"methods,":[8],"we":[9],"develop":[10],"two":[11],"variants":[13],"of":[14,49],"greedy":[15],"algorithms":[16],"for":[17],"possibly":[18],"non-convex":[19],"optimization":[20],"problems":[21,48],"with":[22,62,102],"sparsity":[23],"constraints.":[24],"We":[25,72,95],"prove":[26,87],"linear":[27],"convergence":[28,64],"<sup":[29],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[30],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[31],"in":[32,53,110],"expectation":[33],"to":[34,46,92],"the":[35,47,75,88,103],"solution":[36],"within":[37],"a":[38],"specified":[39],"tolerance.":[40],"This":[41],"generalized":[42],"framework":[43],"is":[44],"specialized":[45],"sparse":[50],"signal":[51],"recovery":[52],"compressed":[54],"sensing":[55],"and":[56,79,86,106],"low-rank":[57],"matrix":[58],"recovery,":[59],"giving":[60],"methods":[61,89],"provable":[63],"guarantees":[65],"that":[66],"often":[67],"outperform":[68],"their":[69],"deterministic":[70],"counterparts.":[71],"also":[73],"analyze":[74],"settings,":[76],"where":[77],"gradients":[78],"projections":[80],"can":[81],"only":[82],"be":[83],"computed":[84],"approximately,":[85],"are":[90],"robust":[91],"these":[93,108],"approximations.":[94],"include":[96],"many":[97],"numerical":[98],"experiments,":[99],"which":[100],"align":[101],"theoretical":[104],"analysis":[105],"demonstrate":[107],"improvements":[109],"several":[111],"different":[112],"settings.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
