{"id":"https://openalex.org/W2101255151","doi":"https://doi.org/10.1109/lsp.2014.2362861","title":"Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed &lt;formula formulatype=\"inline\"&gt;&lt;tex Notation=\"TeX\"&gt;${\\ell _1}/{\\ell _2}$&lt;/tex&gt;&lt;/formula&gt; Regularization","display_name":"Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed &lt;formula formulatype=\"inline\"&gt;&lt;tex Notation=\"TeX\"&gt;${\\ell _1}/{\\ell _2}$&lt;/tex&gt;&lt;/formula&gt; Regularization","publication_year":2014,"publication_date":"2014-10-28","ids":{"openalex":"https://openalex.org/W2101255151","doi":"https://doi.org/10.1109/lsp.2014.2362861","mag":"2101255151"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2014.2362861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2014.2362861","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1407.5465","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083254809","display_name":"Audrey Repetti","orcid":"https://orcid.org/0000-0002-6296-6957"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Audrey Repetti","raw_affiliation_strings":["LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068234153","display_name":"Mai Quyen Pham","orcid":"https://orcid.org/0000-0002-9974-2455"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mai Quyen Pham","raw_affiliation_strings":["IFP Energies nouvelles, Rueil Malmaison, France","LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IFP Energies nouvelles, Rueil Malmaison, France","institution_ids":["https://openalex.org/I265217849"]},{"raw_affiliation_string":"LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005435241","display_name":"Laurent Duval","orcid":"https://orcid.org/0000-0002-7732-4666"},"institutions":[{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Duval","raw_affiliation_strings":["IFP Energies nouvelles, Rueil Malmaison, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IFP Energies nouvelles, Rueil Malmaison, France","institution_ids":["https://openalex.org/I265217849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062777204","display_name":"\u00c9milie Chouzenoux","orcid":"https://orcid.org/0000-0003-3631-6093"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emilie Chouzenoux","raw_affiliation_strings":["LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM UMR CNRS 8049, Universit\u00e9 Paris-Est, Marne la Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.4354,"has_fulltext":true,"cited_by_count":125,"citation_normalized_percentile":{"value":0.99531074,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"22","issue":"5","first_page":"539","last_page":"543"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/deconvolution","display_name":"Deconvolution","score":0.8265578746795654},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7783496379852295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6180256009101868},{"id":"https://openalex.org/keywords/blind-deconvolution","display_name":"Blind deconvolution","score":0.6143564581871033},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48116955161094666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4649103581905365},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4637577533721924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4633612632751465},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4625956118106842},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.4525756239891052},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4406547248363495},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41699302196502686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31469807028770447},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19328218698501587}],"concepts":[{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.8265578746795654},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7783496379852295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6180256009101868},{"id":"https://openalex.org/C30044814","wikidata":"https://www.wikidata.org/wiki/Q11334452","display_name":"Blind deconvolution","level":3,"score":0.6143564581871033},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48116955161094666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4649103581905365},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4637577533721924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4633612632751465},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4625956118106842},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.4525756239891052},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4406547248363495},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41699302196502686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31469807028770447},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19328218698501587},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2014.2362861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2014.2362861","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1407.5465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.5465","pdf_url":"https://arxiv.org/pdf/1407.5465","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-01328398v1","is_oa":false,"landing_page_url":"https://ifp.hal.science/hal-01328398","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1109/LSP.2014.2362861","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1407.5465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.5465","pdf_url":"https://arxiv.org/pdf/1407.5465","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W565466605","https://openalex.org/W584962943","https://openalex.org/W1553702074","https://openalex.org/W1607028118","https://openalex.org/W1640271009","https://openalex.org/W1946620893","https://openalex.org/W1953936588","https://openalex.org/W1968154520","https://openalex.org/W1981341575","https://openalex.org/W1983579205","https://openalex.org/W1985578025","https://openalex.org/W1987075379","https://openalex.org/W1996317045","https://openalex.org/W2004886822","https://openalex.org/W2013850411","https://openalex.org/W2020746944","https://openalex.org/W2021721734","https://openalex.org/W2027231794","https://openalex.org/W2027982384","https://openalex.org/W2053968746","https://openalex.org/W2060331468","https://openalex.org/W2074348638","https://openalex.org/W2087054292","https://openalex.org/W2100053953","https://openalex.org/W2102161668","https://openalex.org/W2111854888","https://openalex.org/W2115318789","https://openalex.org/W2116638301","https://openalex.org/W2118718620","https://openalex.org/W2130367956","https://openalex.org/W2135969423","https://openalex.org/W2140867429","https://openalex.org/W2141538908","https://openalex.org/W2149967459","https://openalex.org/W2157522867","https://openalex.org/W2161219071","https://openalex.org/W2163466237","https://openalex.org/W2165387722","https://openalex.org/W2166257950","https://openalex.org/W2170293972","https://openalex.org/W2171413647","https://openalex.org/W2259139337","https://openalex.org/W2394658338","https://openalex.org/W2964243449","https://openalex.org/W4285719527","https://openalex.org/W6636338032","https://openalex.org/W6677759377","https://openalex.org/W6711850981"],"related_works":["https://openalex.org/W2034520358","https://openalex.org/W2028099218","https://openalex.org/W2059639161","https://openalex.org/W2586325539","https://openalex.org/W2058895457","https://openalex.org/W1538056422","https://openalex.org/W2029084792","https://openalex.org/W2023738877","https://openalex.org/W2147401053","https://openalex.org/W2589098082"],"abstract_inverted_index":{"The":[0],"\u21131/\u21132ratio":[1],"regularization":[2],"function":[3,94],"has":[4],"shown":[5],"good":[6],"performance":[7],"for":[8],"retrieving":[9],"sparse":[10],"signals":[11],"in":[12,18,34,61],"a":[13,28,58,70,75,85,109,112],"number":[14],"of":[15,21,56,105],"recent":[16,113],"works,":[17],"the":[19,35,39,46,54,79,103,119],"context":[20],"blind":[22,36,128],"deconvolution.":[23,129],"Indeed,":[24],"it":[25],"benefits":[26],"from":[27,53],"scale":[29],"invariance":[30],"property":[31],"much":[32],"desirable":[33],"context.":[37],"However,":[38],"\u21131/\u21132function":[40],"raises":[41],"some":[42],"difficulties":[43],"when":[44],"solving":[45],"nonconvex":[47],"and":[48,95],"nonsmooth":[49],"minimization":[50],"problems":[51,91],"resulting":[52],"use":[55],"such":[57],"penalty":[59,72],"term":[60],"current":[62],"restoration":[63],"methods.":[64],"In":[65,81],"this":[66,93],"paper,":[67],"we":[68,83,96],"propose":[69],"new":[71],"based":[73],"on":[74,122],"smooth":[76],"approximation":[77],"to":[78,88,125],"\u21131/\u21132function.":[80],"addition,":[82],"develop":[84],"proximal-based":[86],"algorithm":[87],"solve":[89],"variational":[90],"involving":[92],"derive":[97],"theoretical":[98],"convergence":[99],"results.":[100],"We":[101],"demonstrate":[102],"effectiveness":[104],"our":[106],"method":[107],"through":[108],"comparison":[110],"with":[111,118],"alternating":[114],"optimization":[115],"strategy":[116],"dealing":[117],"exact":[120],"\u21131/\u21132term,":[121],"an":[123],"application":[124],"seismic":[126],"data":[127]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":23},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":9}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2016-06-24T00:00:00"}
