{"id":"https://openalex.org/W4403758792","doi":"https://doi.org/10.1109/tsp.2024.3486533","title":"A Coordinate Descent Approach to Atomic Norm Denoising","display_name":"A Coordinate Descent Approach to Atomic Norm Denoising","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403758792","doi":"https://doi.org/10.1109/tsp.2024.3486533"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3486533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3486533","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":["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/A5038605489","display_name":"Ruifu Li","orcid":null},"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":"Ruifu Li","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":"https://orcid.org/0000-0002-1673-926X","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008128583","display_name":"Danijela \u010cabri\u0107","orcid":"https://orcid.org/0000-0002-5967-2683"},"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":"Danijela Cabric","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":"https://orcid.org/0000-0002-5967-2683","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":1.2067,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81152134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"72","issue":null,"first_page":"5077","last_page":"5090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.39259999990463257,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.39259999990463257,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.3513999879360199,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.6776369214057922},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5156965851783752},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5141768455505371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4477269947528839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37509602308273315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34062719345092773},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2948683500289917}],"concepts":[{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6776369214057922},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5156965851783752},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5141768455505371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4477269947528839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37509602308273315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34062719345092773},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2948683500289917},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2024.3486533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3486533","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W653761051","https://openalex.org/W1977777127","https://openalex.org/W2020255126","https://openalex.org/W2023901033","https://openalex.org/W2028191993","https://openalex.org/W2093328751","https://openalex.org/W2123457453","https://openalex.org/W2139961842","https://openalex.org/W2633610211","https://openalex.org/W2891266596","https://openalex.org/W2892658054","https://openalex.org/W2962727817","https://openalex.org/W2963326253","https://openalex.org/W2964021982","https://openalex.org/W2964106337","https://openalex.org/W2964137704","https://openalex.org/W2964325628","https://openalex.org/W2971239382","https://openalex.org/W3010499839","https://openalex.org/W3092608661","https://openalex.org/W3211697769","https://openalex.org/W4240027296","https://openalex.org/W4250589301","https://openalex.org/W4294541781","https://openalex.org/W4392302641","https://openalex.org/W6735294479"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2117229703","https://openalex.org/W2142036596","https://openalex.org/W2097460654"],"abstract_inverted_index":{"Atomic":[0],"norm":[1,24,53,73],"minimization":[2,25],"is":[3,27,34,87,147],"of":[4,10,48,63,71,84,110,115,122,156,190],"great":[5],"interest":[6],"in":[7,125],"various":[8],"applications":[9],"sparse":[11,142],"signal":[12,19],"processing":[13],"including":[14],"super-resolution":[15],"line-spectral":[16],"estimation":[17],"and":[18,66,181],"denoising.":[20],"In":[21],"practice,":[22],"atomic":[23,52,72],"(ANM)":[26],"formulated":[28],"as":[29,51,185,187],"semi-definite":[30],"programming":[31],"(SDP)":[32],"that":[33,90,168],"generally":[35],"hard":[36],"to":[37,101,103,149],"solve.":[38],"This":[39],"work":[40,77],"introduces":[41],"a":[42,46,92,111,188],"low-complexity":[43],"solver":[44,146,172],"for":[45,136,141,176],"type":[47],"ANM":[49],"known":[50],"soft":[54],"thresholding":[55],"(AST).":[56],"The":[57],"proposed":[58,145],"method":[59,134,155],"uses":[60],"the":[61,68,97,104,108,120,126,133,144,169],"framework":[62],"coordinate":[64,93,127,170],"descent":[65,94,128,171],"exploits":[67],"sparsity-inducing":[69],"nature":[70],"regularization.":[74],"Specifically,":[75],"this":[76],"first":[78],"provides":[79],"an":[80],"equivalent,":[81],"non-convex":[82,98],"formulation":[83,99],"AST.":[85],"It":[86],"then":[88],"proved":[89],"applying":[91],"algorithm":[95],"on":[96],"leads":[100],"convergence":[102],"global":[105],"solution.":[106],"For":[107],"case":[109],"single":[112],"measurement":[113,183],"vector":[114],"length$N$and":[116],"complex":[117],"exponential":[118],"basis,":[119],"complexity":[121],"each":[123],"step":[124],"procedure":[129],"is$\\mathcal{O}(N\\log":[130],"N)$,":[131],"rendering":[132],"efficient":[135],"large-scale":[137],"problems.":[138],"Through":[139],"simulations,":[140],"problems":[143],"shown":[148],"be":[150,174],"faster":[151],"than":[152],"alternating":[153],"direction":[154],"multiplier":[157],"(ADMM)":[158],"or":[159],"customized":[160],"interior":[161],"point":[162],"SDP":[163],"solver.":[164],"Numerical":[165],"simulations":[166],"demonstrate":[167],"can":[173],"modified":[175],"AST":[177],"with":[178],"multiple":[179,182],"dimensions":[180],"vectors":[184],"well":[186],"variety":[189],"other":[191],"continuous":[192],"basis.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
