{"id":"https://openalex.org/W2889155508","doi":"https://doi.org/10.1109/ssp.2018.8450805","title":"Robust Formulation for Solving Underdetermined Random Linear System of Equations Via Admm","display_name":"Robust Formulation for Solving Underdetermined Random Linear System of Equations Via Admm","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2889155508","doi":"https://doi.org/10.1109/ssp.2018.8450805","mag":"2889155508"},"language":"en","primary_location":{"id":"doi:10.1109/ssp.2018.8450805","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450805","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-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/A5023911837","display_name":"Edwin Vargas","orcid":"https://orcid.org/0000-0002-7979-9497"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Edwin Vargas","raw_affiliation_strings":["Department of Electronic Engineering, Universidad Industrial de Santander, Bucaramanga, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad Industrial de Santander, Bucaramanga, Colombia","institution_ids":["https://openalex.org/I115684694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021631342","display_name":"Samuel Pinilla","orcid":"https://orcid.org/0000-0002-6653-2363"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Samuel Pinilla","raw_affiliation_strings":["Department of Electronic Engineering, Universidad Industrial de Santander, Bucaramanga, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad Industrial de Santander, Bucaramanga, Colombia","institution_ids":["https://openalex.org/I115684694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084685753","display_name":"Jorge Bacca","orcid":"https://orcid.org/0000-0001-5264-7891"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Jorge Bacca","raw_affiliation_strings":["Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, Colombia","institution_ids":["https://openalex.org/I115684694"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081714132","display_name":"Henry Arg\u00fcello","orcid":"https://orcid.org/0000-0002-2202-253X"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Henry Arguello","raw_affiliation_strings":["Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, Colombia","institution_ids":["https://openalex.org/I115684694"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023911837"],"corresponding_institution_ids":["https://openalex.org/I115684694"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09533751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"283","last_page":"287"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.7623990178108215},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6024003624916077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5125408172607422},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5050197243690491},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.45694196224212646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4261268675327301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30411937832832336}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.7623990178108215},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6024003624916077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5125408172607422},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5050197243690491},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.45694196224212646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4261268675327301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30411937832832336},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ssp.2018.8450805","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450805","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","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/W143004564","https://openalex.org/W340244495","https://openalex.org/W1508702903","https://openalex.org/W1988828143","https://openalex.org/W2097273723","https://openalex.org/W2119667497","https://openalex.org/W2123031198","https://openalex.org/W2126607811","https://openalex.org/W2141690352","https://openalex.org/W2164278908","https://openalex.org/W2499720122","https://openalex.org/W2913535645","https://openalex.org/W3106359998","https://openalex.org/W4244393449","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W4300263211","https://openalex.org/W6724289339"],"related_works":["https://openalex.org/W133751542","https://openalex.org/W2549922247","https://openalex.org/W2300663769","https://openalex.org/W1523391825","https://openalex.org/W2152231009","https://openalex.org/W2152589265","https://openalex.org/W2735239078","https://openalex.org/W2963414100","https://openalex.org/W2372875289","https://openalex.org/W2020521836"],"abstract_inverted_index":{"Compressive":[0],"sensing":[1],"(CS)":[2],"is":[3,62],"a":[4,58,63,95,143,167,172,211],"well-known":[5],"theory":[6],"which":[7,208],"allowshighly":[8],"efficient":[9],"data":[10,121,144,205],"acquisition":[11],"schemes":[12],"and":[13,25,71,108,134,180],"has":[14,91,115],"received":[15],"much":[16],"attention":[17],"in":[18,33,43,125,156,192],"diverse":[19],"applications":[20],"such":[21],"as":[22,94,119,142,203],"medical":[23],"imaging,":[24],"hyperspectral":[26],"imaging.":[27],"Many":[28],"algorithms":[29,56],"have":[30],"been":[31,92,116],"proposed":[32,219],"the":[34,38,47,50,84,99,109,120,128,151,154,160,188,197,204,216,228,234],"literature":[35],"for":[36],"solving":[37],"ill-posed":[39],"inverse":[40,189,230],"problem":[41,190,231],"present":[42,191],"CS":[44,229],"based":[45],"on":[46],"sparsity":[48],"of":[49,52,98,153,174,224],"signal":[51],"interest.":[53],"Traditionally,":[54],"these":[55],"minimize":[57],"cost":[59],"function":[60],"that":[61,170],"combination":[64,173],"between":[65],"an":[66,136,175],"\u2113":[67,72,86,100,110,137,176,181,198],"<sub":[68,73,87,101,111,138,177,182,199],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[69,74,88,102,112,139,178,183,200],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[70,89,179],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[75,113,140],"norms":[76,185],"with":[77,233],"1":[78],"<;":[79,81],"p":[80],"\u221e.":[82],"Specifically,":[83],"non-smooth":[85],"-norm":[90,114,141],"used":[93,118],"convex":[96],"relaxation":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[103],"pseudo-norm":[104],"to":[105,149,158,186,210,226],"promote":[106],"sparsity,":[107],"commonly":[117],"fidelity":[122,206],"term.":[123],"However,":[124],"many":[126],"applications,":[127],"measurements":[129],"can":[130],"be":[131],"very":[132],"noisy,":[133],"using":[135],"fit":[145],"term":[146,207],"becomes":[147],"useless":[148],"reduce":[150],"effect":[152],"noise":[155],"order":[157],"obtain":[159],"desired":[161],"signal.":[162],"Therefore,":[163],"this":[164,195],"paper":[165],"proposes":[166],"new":[168],"algorithm":[169,214],"minimizes":[171],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[184,201],"solve":[187,227],"CS.":[193],"In":[194],"case,":[196],"works":[202],"leads":[209],"more":[212],"robust":[213],"against":[215],"noise.":[217],"The":[218],"method":[220],"requires":[221],"less":[222],"number":[223],"iterations":[225],"compared":[232],"state-of-the-art-algorithms.":[235]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}