{"id":"https://openalex.org/W2099537868","doi":"https://doi.org/10.23919/ecc.2013.6669531","title":"A random coordinate descent algorithm for large-scale sparse nonconvex optimization","display_name":"A random coordinate descent algorithm for large-scale sparse nonconvex optimization","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2099537868","doi":"https://doi.org/10.23919/ecc.2013.6669531","mag":"2099537868"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669531","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669531","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5049988389","display_name":"Andrei P\u0103tra\u015fcu","orcid":"https://orcid.org/0000-0002-9293-9386"},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Andrei Patrascu","raw_affiliation_strings":["Automatic Control and Systems Engineering Department, University Politehnica Bucharest, Bucharest, Romania","Autom. Control & Syst. Eng. Dept., Univ. Politeh. Bucharest, Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"Automatic Control and Systems Engineering Department, University Politehnica Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]},{"raw_affiliation_string":"Autom. Control & Syst. Eng. Dept., Univ. Politeh. Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019114471","display_name":"Ion Necoara","orcid":"https://orcid.org/0000-0003-1102-2654"},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ion Necoara","raw_affiliation_strings":["Automatic Control and Systems Engineering Department, University Politehnica Bucharest, Bucharest, Romania","Autom. Control & Syst. Eng. Dept., Univ. Politeh. Bucharest, Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"Automatic Control and Systems Engineering Department, University Politehnica Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]},{"raw_affiliation_string":"Autom. Control & Syst. Eng. Dept., Univ. Politeh. Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049988389"],"corresponding_institution_ids":["https://openalex.org/I61641377"],"apc_list":null,"apc_paid":null,"fwci":2.4186,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88308872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2789","last_page":"2794"},"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":0.9969000220298767,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.7122007012367249},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6998200416564941},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.6802016496658325},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.6673234105110168},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5490444898605347},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.542665421962738},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5307355523109436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4624623954296112},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4327576160430908},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43031615018844604},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4300503432750702},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.42897963523864746},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3834708333015442},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13819292187690735},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1277887225151062}],"concepts":[{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.7122007012367249},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6998200416564941},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6802016496658325},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.6673234105110168},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5490444898605347},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.542665421962738},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5307355523109436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4624623954296112},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4327576160430908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43031615018844604},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4300503432750702},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.42897963523864746},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3834708333015442},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13819292187690735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1277887225151062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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:10.23919/ecc.2013.6669531","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669531","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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":15,"referenced_works":["https://openalex.org/W1967926151","https://openalex.org/W1999593606","https://openalex.org/W2002482313","https://openalex.org/W2029590768","https://openalex.org/W2057932996","https://openalex.org/W2059586807","https://openalex.org/W2072265605","https://openalex.org/W2083203730","https://openalex.org/W2094905155","https://openalex.org/W2095984592","https://openalex.org/W2117686388","https://openalex.org/W2146482778","https://openalex.org/W2155370486","https://openalex.org/W2161706840","https://openalex.org/W2798766386"],"related_works":["https://openalex.org/W2945629716","https://openalex.org/W4283775266","https://openalex.org/W4298860769","https://openalex.org/W3043533097","https://openalex.org/W2767126220","https://openalex.org/W3007770227","https://openalex.org/W2789199296","https://openalex.org/W4385954979","https://openalex.org/W2140057251","https://openalex.org/W1555489509"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,55],"develop":[4],"a":[5,60,75],"random":[6],"coordinate":[7],"descent":[8],"method":[9,73],"suitable":[10],"for":[11,71],"solving":[12],"large-scale":[13,92],"sparse":[14,93],"nonconvex":[15,94],"optimization":[16],"problems":[17],"with":[18,59,119],"composite":[19],"objective":[20,34],"function.":[21],"Under":[22],"the":[23,29,33,41,97],"typical":[24],"assumptions":[25],"of":[26,28,32,40,108,116],"nonconvexity":[27],"smooth":[30],"part":[31,43],"function":[35],"and":[36,38,63,113],"separability":[37],"convexity":[39],"nonsmooth":[42],"(e.g.":[44],"\u2113":[45],"<sub":[46],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[47],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[48],"regularization,":[49],"box":[50],"indicator":[51],"functions":[52],"or":[53],"others),":[54],"derive":[56],"an":[57],"algorithm":[58,83],"very":[61],"simple":[62],"cheap":[64],"iteration.":[65],"We":[66],"prove":[67],"sublinear":[68],"convergence":[69],"rate":[70],"our":[72,82],"to":[74,88],"stationary":[76],"point.":[77],"Numerical":[78],"results":[79],"show":[80],"that":[81],"performs":[84],"favourably":[85],"in":[86,102],"comparison":[87],"other":[89],"algorithms":[90],"on":[91],"problems,":[95],"e.g.":[96],"eigenvalue":[98],"complementarity":[99],"problem":[100],"arising":[101],"different":[103],"areas":[104],"such":[105],"as":[106],"stability":[107],"dynamical":[109],"systems,":[110],"distributed":[111],"control":[112],"resonance":[114],"frequency":[115],"mechanical":[117],"structures":[118],"friction.":[120]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
