{"id":"https://openalex.org/W2144616873","doi":"https://doi.org/10.1109/tsp.2016.2601282","title":"Proximal Multitask Learning Over Networks With Sparsity-Inducing Coregularization","display_name":"Proximal Multitask Learning Over Networks With Sparsity-Inducing Coregularization","publication_year":2016,"publication_date":"2016-08-18","ids":{"openalex":"https://openalex.org/W2144616873","doi":"https://doi.org/10.1109/tsp.2016.2601282","mag":"2144616873"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2601282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2601282","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.01360","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015999129","display_name":"Roula Nassif","orcid":"https://orcid.org/0000-0001-9663-8559"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210126779","display_name":"Observatoire de la C\u00f4te d\u2019Azur","ror":"https://ror.org/039fj2469","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210126779"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roula Nassif","raw_affiliation_strings":["OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]},{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009808175","display_name":"C\u00e9dric Richard","orcid":"https://orcid.org/0000-0003-2890-141X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210106545","display_name":"Centre Inria d'Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I4210126779","display_name":"Observatoire de la C\u00f4te d\u2019Azur","ror":"https://ror.org/039fj2469","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210126779"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cedric Richard","raw_affiliation_strings":["INRIA Sophia Antipolis\u2014M\u00e9diterran\u00e9e, Valbonne, France","OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis\u2014M\u00e9diterran\u00e9e, Valbonne, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210106545"]},{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]},{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109205428","display_name":"Andre Ferrari","orcid":null},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210126779","display_name":"Observatoire de la C\u00f4te d\u2019Azur","ror":"https://ror.org/039fj2469","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210126779"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andre Ferrari","raw_affiliation_strings":["OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d\u2019Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]},{"raw_affiliation_string":"OCA, Universit\u00e9 C\u00f4te d'Azur, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091103447","display_name":"Ali H. Sayed","orcid":"https://orcid.org/0000-0002-5125-5519"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali H. Sayed","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7132,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.98087663,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"64","issue":"23","first_page":"6329","last_page":"6344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9984999895095825,"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":0.9984999895095825,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9962999820709229,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9642999768257141,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/convergence","display_name":"Convergence (economics)","score":0.7438076734542847},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6613402366638184},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5483683347702026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5279497504234314},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5129520297050476},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5069990158081055},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.47071927785873413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4501670002937317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3662383556365967},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3453618288040161},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11920848488807678},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08725902438163757}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7438076734542847},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6613402366638184},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5483683347702026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5279497504234314},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5129520297050476},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5069990158081055},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.47071927785873413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4501670002937317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3662383556365967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3453618288040161},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11920848488807678},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08725902438163757},{"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/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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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":4,"locations":[{"id":"doi:10.1109/tsp.2016.2601282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2601282","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1509.01360","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1509.01360","pdf_url":"https://arxiv.org/pdf/1509.01360","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"},{"id":"pmh:oai:HAL:hal-03434452v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03434452","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2016, 64 (23), pp.6329-6344. ⟨10.1109/TSP.2016.2601282⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:233505","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/233505","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.01360","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1509.01360","pdf_url":"https://arxiv.org/pdf/1509.01360","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"display_name":"Partnerships for the goals","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1402158475","display_name":null,"funder_award_id":"ECCS1407712","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3201986086","display_name":"Online Learning in Big-Data Stream Mining","funder_award_id":"1407712","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4035701487","display_name":null,"funder_award_id":"CIF-1524250","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6311858592","display_name":null,"funder_award_id":"ECCS-1407712","funder_id":"https://openalex.org/F4320337392","funder_display_name":"Division of Electrical, Communications and Cyber Systems"},{"id":"https://openalex.org/G8122265384","display_name":"Distributed optimization methods for environment discovery by autonomous agents","funder_award_id":"ANR-13-ASTR-0030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8609197564","display_name":"CIF: Small: Inference over Asymmetric Network and Data Structures","funder_award_id":"1524250","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/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144616873.pdf","grobid_xml":"https://content.openalex.org/works/W2144616873.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W338925043","https://openalex.org/W1546590558","https://openalex.org/W1946620893","https://openalex.org/W1970997001","https://openalex.org/W1972440447","https://openalex.org/W1986302543","https://openalex.org/W1998203474","https://openalex.org/W2012445782","https://openalex.org/W2015150884","https://openalex.org/W2018980815","https://openalex.org/W2020925091","https://openalex.org/W2024307985","https://openalex.org/W2024747714","https://openalex.org/W2025184650","https://openalex.org/W2029080014","https://openalex.org/W2031607104","https://openalex.org/W2038622372","https://openalex.org/W2042664989","https://openalex.org/W2044212084","https://openalex.org/W2054302595","https://openalex.org/W2057325524","https://openalex.org/W2066332749","https://openalex.org/W2071607622","https://openalex.org/W2076428552","https://openalex.org/W2084361947","https://openalex.org/W2086502731","https://openalex.org/W2092507976","https://openalex.org/W2092634057","https://openalex.org/W2093795816","https://openalex.org/W2098674248","https://openalex.org/W2105588499","https://openalex.org/W2107861471","https://openalex.org/W2114823274","https://openalex.org/W2118718620","https://openalex.org/W2118776392","https://openalex.org/W2119293025","https://openalex.org/W2119667497","https://openalex.org/W2120286056","https://openalex.org/W2121820607","https://openalex.org/W2130442323","https://openalex.org/W2135046866","https://openalex.org/W2136508948","https://openalex.org/W2153368486","https://openalex.org/W2153966940","https://openalex.org/W2159585070","https://openalex.org/W2165499073","https://openalex.org/W2166935429","https://openalex.org/W2167153414","https://openalex.org/W2211210082","https://openalex.org/W2258794810","https://openalex.org/W2293909378","https://openalex.org/W2295500362","https://openalex.org/W2325819194","https://openalex.org/W2394586610","https://openalex.org/W2610805269","https://openalex.org/W2792298817","https://openalex.org/W2913535645","https://openalex.org/W2962907301","https://openalex.org/W2963157432","https://openalex.org/W3099579977","https://openalex.org/W3104550706","https://openalex.org/W4205987271","https://openalex.org/W4238850922","https://openalex.org/W4239240501","https://openalex.org/W4298086139","https://openalex.org/W6674616871","https://openalex.org/W6677759377","https://openalex.org/W6684455080","https://openalex.org/W6697247841","https://openalex.org/W6758920291"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1604739066","https://openalex.org/W2115878407","https://openalex.org/W1980454230"],"abstract_inverted_index":{"In":[0],"this":[1,47],"work,":[2],"we":[3],"consider":[4],"multitask":[5],"learning":[6],"problems":[7],"where":[8],"clusters":[9,22,31],"of":[10,29,36,84,95,99,117,134],"nodes":[11],"are":[12,128],"interested":[13],"in":[14,120],"estimating":[15],"their":[16],"own":[17],"parameter":[18],"vector.":[19],"Cooperation":[20],"among":[21,66],"is":[23,75,79,101],"beneficial":[24],"when":[25],"the":[26,82,92,112,118,121,132,135],"optimal":[27],"models":[28],"adjacent":[30],"have":[32],"a":[33,41,54,96],"good":[34],"number":[35],"similar":[37],"entries.":[38],"We":[39,107],"propose":[40],"fully":[42],"distributed":[43],"algorithm":[44,119],"for":[45,91],"solving":[46],"problem.":[48],"The":[49],"approach":[50],"relies":[51],"on":[52,111],"minimizing":[53],"global":[55],"mean-square":[56,124],"error":[57,125],"criterion":[58],"regularized":[59],"by":[60],"nondifferentiable":[61],"terms":[62],"to":[63,81,103,130],"promote":[64],"cooperation":[65],"neighboring":[67],"clusters.":[68],"A":[69,88],"general":[70],"diffusion":[71],"forward-backward":[72],"splitting":[73],"strategy":[74],"introduced.":[76],"Then,":[77],"it":[78],"specialized":[80],"case":[83],"sparsity":[85],"promoting":[86],"regularizers.":[87],"closed-form":[89],"expression":[90],"proximal":[93],"operator":[94],"weighted":[97],"sum":[98],"\u21131-norms":[100],"derived":[102],"achieve":[104],"higher":[105],"efficiency.":[106],"also":[108],"provide":[109],"conditions":[110],"step-sizes":[113],"that":[114],"ensure":[115],"convergence":[116],"mean":[122],"and":[123],"sense.":[126],"Simulations":[127],"conducted":[129],"illustrate":[131],"effectiveness":[133],"strategy.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}