{"id":"https://openalex.org/W2092924517","doi":"https://doi.org/10.1109/icip.2012.6467548","title":"A comparison of the computational performance of Iteratively Reweighted Least Squares and alternating minimization algorithms for ℓ<inf>1</inf> inverse problems","display_name":"A comparison of the computational performance of Iteratively Reweighted Least Squares and alternating minimization algorithms for ℓ<inf>1</inf> inverse problems","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2092924517","doi":"https://doi.org/10.1109/icip.2012.6467548","mag":"2092924517"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2012.6467548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2012.6467548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 19th IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5077092609","display_name":"Paul Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-8501-0907"},"institutions":[{"id":"https://openalex.org/I65285256","display_name":"Pontificia Universidad Cat\u00f3lica del Per\u00fa","ror":"https://ror.org/00013q465","country_code":"PE","type":"education","lineage":["https://openalex.org/I65285256"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Paul Rodriguez","raw_affiliation_strings":["Electrical Department, Pontificia Universidad Cat\u00f3lica del Per\u00fa, Lima, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Department, Pontificia Universidad Cat\u00f3lica del Per\u00fa, Lima, Peru","institution_ids":["https://openalex.org/I65285256"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015244709","display_name":"Brendt Wohlberg","orcid":"https://orcid.org/0000-0002-4767-1843"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brendt Wohlberg","raw_affiliation_strings":["Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2104,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8766766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"3069","last_page":"3072"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6897647380828857},{"id":"https://openalex.org/keywords/iteratively-reweighted-least-squares","display_name":"Iteratively reweighted least squares","score":0.6537594795227051},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6500484347343445},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6080966591835022},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5762737393379211},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.47396108508110046},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4736959934234619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4558495283126831},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.4519124925136566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4351327419281006},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.41179677844047546},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38829541206359863},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.3197697401046753},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.26268336176872253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23783567547798157},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.1795773208141327},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14413928985595703}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6897647380828857},{"id":"https://openalex.org/C126090379","wikidata":"https://www.wikidata.org/wiki/Q6094424","display_name":"Iteratively reweighted least squares","level":4,"score":0.6537594795227051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6500484347343445},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6080966591835022},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5762737393379211},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.47396108508110046},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4736959934234619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4558495283126831},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.4519124925136566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4351327419281006},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.41179677844047546},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38829541206359863},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.3197697401046753},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.26268336176872253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23783567547798157},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.1795773208141327},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14413928985595703},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2012.6467548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2012.6467548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 19th IEEE International Conference on Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1986931325","https://openalex.org/W2033894760","https://openalex.org/W2034619845","https://openalex.org/W2045079045","https://openalex.org/W2078204800","https://openalex.org/W2103559027","https://openalex.org/W2119883478","https://openalex.org/W2122315118","https://openalex.org/W2133665775","https://openalex.org/W2142058898","https://openalex.org/W2143163931","https://openalex.org/W2148062657","https://openalex.org/W2164278908","https://openalex.org/W2244987555","https://openalex.org/W2296616510","https://openalex.org/W2953381901","https://openalex.org/W4250955649","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2495078643","https://openalex.org/W3010678772","https://openalex.org/W2053223715","https://openalex.org/W2612397051","https://openalex.org/W1490451209","https://openalex.org/W2586189899","https://openalex.org/W233850645","https://openalex.org/W2775199232","https://openalex.org/W2182902227","https://openalex.org/W2810034908"],"abstract_inverted_index":{"Alternating":[0,14],"minimization":[1],"algorithms":[2],"with":[3,68],"a":[4,72],"shrinkage":[5],"step,":[6],"derived":[7],"within":[8],"the":[9],"Split":[10],"Bregman":[11],"(SB)":[12],"or":[13],"Direction":[15],"Method":[16],"of":[17,74],"Multipliers":[18],"(ADMM)":[19],"frameworks,":[20],"have":[21],"become":[22],"very":[23],"popular":[24],"for":[25,71],"\u21131-regularized":[26],"problems,":[27,75],"including":[28],"Total":[29],"Variation":[30],"and":[31,76],"Basis":[32],"Pursuit":[33],"Denoising.":[34],"It":[35],"appears":[36],"to":[37],"be":[38],"generally":[39],"assumed":[40],"that":[41,61],"they":[42],"deliver":[43],"much":[44],"better":[45],"computational":[46],"performance":[47],"than":[48],"older":[49],"methods":[50,64,70],"such":[51],"as":[52],"Iteratively":[53],"Reweighted":[54],"Least":[55],"Squares":[56],"(IRLS).":[57],"We":[58],"show,":[59],"however,":[60],"IRLS":[62],"type":[63],"are":[65],"computationally":[66],"competitive":[67],"SB/ADMM":[69],"variety":[73],"in":[77],"some":[78],"cases":[79],"outperform":[80],"them.":[81]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}