{"id":"https://openalex.org/W2159014414","doi":"https://doi.org/10.1109/jstsp.2011.2147278","title":"Restoration of Astrophysical Spectra With Sparsity Constraints: Models and Algorithms","display_name":"Restoration of Astrophysical Spectra With Sparsity Constraints: Models and Algorithms","publication_year":2011,"publication_date":"2011-04-26","ids":{"openalex":"https://openalex.org/W2159014414","doi":"https://doi.org/10.1109/jstsp.2011.2147278","mag":"2159014414"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2011.2147278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2011.2147278","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","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/A5025864759","display_name":"S\u00e9bastien Bourguignon","orcid":"https://orcid.org/0000-0002-6660-2704"},"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/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Bourguignon","raw_affiliation_strings":["Cassiop\u00e9e Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cassiop\u00e9e Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039646665","display_name":"D. Mary","orcid":"https://orcid.org/0000-0001-5133-106X"},"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/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Mary","raw_affiliation_strings":["Fizeau Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fizeau Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113905226","display_name":"E. Slezak","orcid":null},"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/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Slezak","raw_affiliation_strings":["Cassiop\u00e9e Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cassiop\u00e9e Laboratory, CNRS, C\u00f4te dAzur Observatory, CNRS and University of Nice-Sophia Antipolis, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.285,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.96031233,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"5","issue":"5","first_page":"1002","last_page":"1013"},"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":0.9987999796867371,"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":0.9966999888420105,"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/algorithm","display_name":"Algorithm","score":0.5971413254737854},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5837220549583435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5424147844314575},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5041621923446655},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4800518751144409},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4603689908981323},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.4229021370410919},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.42252209782600403},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4219481348991394},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.4143884778022766},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3659825325012207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35197359323501587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23317819833755493},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.19995075464248657},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.16146671772003174},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09450620412826538}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5971413254737854},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5837220549583435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5424147844314575},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5041621923446655},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4800518751144409},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4603689908981323},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.4229021370410919},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.42252209782600403},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4219481348991394},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.4143884778022766},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3659825325012207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35197359323501587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23317819833755493},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.19995075464248657},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.16146671772003174},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09450620412826538},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/jstsp.2011.2147278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2011.2147278","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00980638v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00980638","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":"IEEE Journal of Selected Topics in Signal Processing, 2011, 5 (5), pp.1002-1013. &#x27E8;10.1109/JSTSP.2011.2147278&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5400000214576721,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W228380312","https://openalex.org/W1532610010","https://openalex.org/W1540764732","https://openalex.org/W1560910787","https://openalex.org/W1613559169","https://openalex.org/W1752175949","https://openalex.org/W1971293584","https://openalex.org/W1972163814","https://openalex.org/W1975377467","https://openalex.org/W1986867930","https://openalex.org/W1986931325","https://openalex.org/W1989009613","https://openalex.org/W2002967619","https://openalex.org/W2043478128","https://openalex.org/W2056636001","https://openalex.org/W2062102668","https://openalex.org/W2063978378","https://openalex.org/W2079556846","https://openalex.org/W2090927030","https://openalex.org/W2092471590","https://openalex.org/W2097360283","https://openalex.org/W2098012923","https://openalex.org/W2099641086","https://openalex.org/W2100556411","https://openalex.org/W2102380305","https://openalex.org/W2102760656","https://openalex.org/W2103955025","https://openalex.org/W2105464873","https://openalex.org/W2110505738","https://openalex.org/W2115706991","https://openalex.org/W2116148865","https://openalex.org/W2120727252","https://openalex.org/W2122315118","https://openalex.org/W2124335859","https://openalex.org/W2126607811","https://openalex.org/W2129131372","https://openalex.org/W2140675727","https://openalex.org/W2147656689","https://openalex.org/W2150359011","https://openalex.org/W2151693816","https://openalex.org/W2157969180","https://openalex.org/W2158940042","https://openalex.org/W2160547390","https://openalex.org/W2163985581","https://openalex.org/W2166887721","https://openalex.org/W2171534739","https://openalex.org/W2266946488","https://openalex.org/W2296616510","https://openalex.org/W3098745759","https://openalex.org/W3102259203","https://openalex.org/W3105135706","https://openalex.org/W3105543546","https://openalex.org/W3110737554","https://openalex.org/W4214806317","https://openalex.org/W4247649469","https://openalex.org/W4248253651","https://openalex.org/W4250955649","https://openalex.org/W4251405722","https://openalex.org/W4294541781"],"related_works":["https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4286693783","https://openalex.org/W3175914740","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W4362706668","https://openalex.org/W4231621013","https://openalex.org/W3034587794"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,12,15,43,47,55,66,72,94,116,127,138,160,187],"problem":[3],"of":[4,14,24,32,57,68,79,96,157,175,179],"joint":[5],"signal":[6],"restoration":[7,61],"and":[8,46,149,177,197],"parameter":[9],"estimation":[10,90],"in":[11,54,71,173],"context":[13],"forthcoming":[16],"MUSE":[17],"instrument,":[18],"which":[19],"will":[20],"provide":[21],"spectroscopic":[22],"measurements":[23],"light":[25],"emitted":[26],"by":[27],"very":[28],"distant":[29],"galaxies.":[30],"Restoration":[31],"spectra":[33],"is":[34,52,62,83,91,123,163,190],"formulated":[35],"as":[36],"a":[37,77,97,154,203,221],"linear":[38],"inverse":[39],"problem,":[40],"accounting":[41],"for":[42,224],"instrument":[44],"response":[45],"noise":[48],"spectral":[49,81,182],"variability.":[50],"Estimation":[51],"considered":[53,92],"setting":[56],"sparse":[58,225],"approximation,":[59],"where":[60,110],"performed":[63],"jointly":[64],"with":[65,102,133,202,213],"detection":[67,178],"relevant":[69,181],"patterns":[70],"spectra.":[73],"To":[74],"this":[75],"aim,":[76],"dictionary":[78],"elementary":[80],"features":[82],"designed":[84],"according":[85],"to":[86,115,153,192],"astrophysical":[87],"spectroscopy.":[88],"Sparse":[89],"through":[93],"minimization":[95],"quadratic":[98],"data":[99,169],"misfit":[100],"criterion":[101],"an":[103],"\u2113":[104],"<sup":[105],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[106],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[107],"-norm":[108],"penalization,":[109],"nonzero":[111],"components":[112],"are":[113],"associated":[114],"detected":[117],"features.":[118,183],"An":[119],"efficient":[120],"optimization":[121],"strategy":[122,223],"proposed,":[124],"based":[125],"on":[126,146,166],"Iterative":[128],"Coordinate":[129],"Descent":[130],"(ICD)":[131],"principle,":[132],"accelerations":[134],"that":[135,217],"dramatically":[136],"reduce":[137],"computational":[139],"cost.":[140],"The":[141],"algorithm":[142,189],"does":[143],"not":[144],"rely":[145],"fast":[147],"transforms":[148],"can":[150,219],"be":[151,220],"applied":[152],"wide":[155],"variety":[156],"criteria":[158],"if":[159],"sparsity":[161],"constraint":[162],"separable.":[164],"Results":[165],"simulated":[167],"MUSE-like":[168],"reveal":[170,209],"satisfactory":[171],"performance":[172,211],"terms":[174],"denoising":[176],"physically":[180],"On":[184],"such":[185],"data,":[186],"proposed":[188],"shown":[191],"outperform":[193],"both":[194],"state-of-the-art":[195],"gradient-based":[196],"homotopy":[198],"continuation":[199],"methods.":[200],"Simulations":[201],"compressed":[204],"sensing-like":[205],"random":[206],"matrix":[207],"also":[208],"better":[210],"compared":[212],"usual":[214],"algorithms,":[215],"showing":[216],"ICD":[218],"powerful":[222],"optimization.":[226]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
