{"id":"https://openalex.org/W2077306951","doi":"https://doi.org/10.1109/allerton.2013.6736635","title":"The squared-error of generalized LASSO: A precise analysis","display_name":"The squared-error of generalized LASSO: A precise analysis","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2077306951","doi":"https://doi.org/10.1109/allerton.2013.6736635","mag":"2077306951"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2013.6736635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1311.0830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050547472","display_name":"Samet Oymak","orcid":"https://orcid.org/0000-0001-5203-0752"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Samet Oymak","raw_affiliation_strings":["Department of Electrical Engineering Caltech, Pasadena","[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024812488","display_name":"Christos Thrampoulidis","orcid":"https://orcid.org/0000-0001-9053-9365"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christos Thrampoulidis","raw_affiliation_strings":["Department of Electrical Engineering Caltech, Pasadena","[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["Department of Electrical Engineering Caltech, Pasadena","[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050547472"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":10.59124921,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9893436,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1002","last_page":"1009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9943000078201294,"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/mathematics","display_name":"Mathematics","score":0.628764271736145},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6083850264549255},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5958924293518066},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5817665457725525},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5597561001777649},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5484876036643982},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.4835938811302185},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48093265295028687},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.4479696452617645},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.41917863488197327},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3554307222366333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3478083610534668},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2724010944366455},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11513027548789978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09200334548950195}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.628764271736145},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6083850264549255},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5958924293518066},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5817665457725525},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5597561001777649},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5484876036643982},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.4835938811302185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48093265295028687},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.4479696452617645},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.41917863488197327},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3554307222366333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3478083610534668},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2724010944366455},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11513027548789978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09200334548950195},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1109/allerton.2013.6736635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1311.0830","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.0830","pdf_url":"https://arxiv.org/pdf/1311.0830","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"mag:2077306951","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1311.0830","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:authors.library.caltech.edu:53913","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/53913/1/The%20Squared-Error%20of%20Generalized%20LASSO-%20A%20Precise%20Analysis.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report or Paper"},{"id":"pmh:oai:authors.library.caltech.edu:73953","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/73953/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.767.7098","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.767.7098","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1311.0830.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.840.194","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.840.194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://authors.library.caltech.edu/53913/1/The%20Squared-Error%20of%20Generalized%20LASSO-%20A%20Precise%20Analysis.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1311.0830","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1311.0830","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1311.0830","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.0830","pdf_url":"https://arxiv.org/pdf/1311.0830","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W74946117","https://openalex.org/W182781675","https://openalex.org/W1485629353","https://openalex.org/W1499025880","https://openalex.org/W1499670810","https://openalex.org/W1509803206","https://openalex.org/W1530702808","https://openalex.org/W1539036983","https://openalex.org/W1546851689","https://openalex.org/W1550626790","https://openalex.org/W1628160837","https://openalex.org/W1630108645","https://openalex.org/W1689484996","https://openalex.org/W1875359574","https://openalex.org/W1967073510","https://openalex.org/W1997914379","https://openalex.org/W2010669260","https://openalex.org/W2017950357","https://openalex.org/W2034260606","https://openalex.org/W2045547832","https://openalex.org/W2045756756","https://openalex.org/W2047071281","https://openalex.org/W2082029531","https://openalex.org/W2082759144","https://openalex.org/W2090458652","https://openalex.org/W2097323375","https://openalex.org/W2103539935","https://openalex.org/W2105235982","https://openalex.org/W2106398669","https://openalex.org/W2108275041","https://openalex.org/W2109842006","https://openalex.org/W2116581043","https://openalex.org/W2118550318","https://openalex.org/W2119787772","https://openalex.org/W2121021379","https://openalex.org/W2123202508","https://openalex.org/W2124252039","https://openalex.org/W2124541940","https://openalex.org/W2132001804","https://openalex.org/W2134332047","https://openalex.org/W2135046866","https://openalex.org/W2135570554","https://openalex.org/W2135780853","https://openalex.org/W2144006746","https://openalex.org/W2145096794","https://openalex.org/W2146842127","https://openalex.org/W2150940164","https://openalex.org/W2164452299","https://openalex.org/W2167077875","https://openalex.org/W2169111422","https://openalex.org/W2170929819","https://openalex.org/W2296319761","https://openalex.org/W2296616510","https://openalex.org/W2404561836","https://openalex.org/W2610971674","https://openalex.org/W2611644139","https://openalex.org/W2765202580","https://openalex.org/W2949856292","https://openalex.org/W2950132638","https://openalex.org/W2951715301","https://openalex.org/W2951846065","https://openalex.org/W2952309679","https://openalex.org/W2953028742","https://openalex.org/W2953067105","https://openalex.org/W2962769133","https://openalex.org/W2964312599","https://openalex.org/W3098848552","https://openalex.org/W3101040439","https://openalex.org/W3103542348","https://openalex.org/W3104624268","https://openalex.org/W3105340263","https://openalex.org/W3106266785","https://openalex.org/W4250955649","https://openalex.org/W6682241100"],"related_works":["https://openalex.org/W3124617746","https://openalex.org/W74946117","https://openalex.org/W1689484996","https://openalex.org/W2135046866","https://openalex.org/W2965497096","https://openalex.org/W2164595191","https://openalex.org/W2116581043","https://openalex.org/W2123202508","https://openalex.org/W2025223969","https://openalex.org/W3098848552","https://openalex.org/W2296616510","https://openalex.org/W1684009677","https://openalex.org/W590507843","https://openalex.org/W3105340263","https://openalex.org/W3103542348","https://openalex.org/W2950190315","https://openalex.org/W2082029531","https://openalex.org/W2040745222","https://openalex.org/W1800334520","https://openalex.org/W1628160837"],"abstract_inverted_index":{"We":[0,73,133,192,232],"consider":[1,61,210],"the":[2,56,62,75,78,83,98,106,118,122,128,131,136,139,145,149,153,163,167,172,218,223,240,264],"problem":[3],"of":[4,58,70,77,117,124,130,138,144,183,225,249],"estimating":[5],"an":[6],"unknown":[7],"signal":[8,140,252],"$x_0$":[9,24,54,141],"from":[10],"noisy":[11],"linear":[12],"observations":[13,125],"$y":[14],"=":[15],"Ax_0":[16],"+":[17],"z\\in":[18],"R^m$.":[19],"In":[20],"many":[21],"practical":[22],"instances,":[23],"has":[25],"a":[26,34,49,115,235,247],"certain":[27],"structure":[28,35,129,137],"that":[29,194],"can":[30,44],"be":[31,45],"captured":[32],"by":[33,188,230],"inducing":[36],"convex":[37],"function":[38,116,146],"$f(\\cdot)$.":[39],"For":[40,97],"example,":[41],"$\\ell_1$":[42],"norm":[43],"used":[46],"to":[47,104,166,171,259],"encourage":[48],"sparse":[50],"solution.":[51],"To":[52],"estimate":[53],"with":[55,91],"aid":[57],"$f(\\cdot)$,":[59],"we":[60,102,209,254],"well-known":[63],"LASSO":[64,99,178],"method":[65],"and":[66,82,94,127,142,157,170,185,204,227,239],"provide":[67],"sharp":[68],"characterization":[69],"its":[71,195],"performance.":[72],"assume":[74],"entries":[76],"measurement":[79],"matrix":[80],"$A$":[81],"noise":[84,119],"vector":[85],"$z$":[86],"have":[87],"zero-mean":[88],"normal":[89],"distributions":[90],"variances":[92],"$1$":[93],"$\u03c3^2$":[95],"respectively.":[96,175],"estimator":[100,179,242],"$x^*$,":[101],"attempt":[103],"calculate":[105],"Normalized":[107],"Square":[108],"Error":[109],"(NSE)":[110],"defined":[111,161],"as":[112,114,162],"$\\frac{\\|x^*-x_0\\|_2^2}{\u03c3^2}$":[113],"level":[120],"$\u03c3$,":[121],"number":[123,248],"$m$":[126],"signal.":[132],"show":[134],"that,":[135],"choice":[143,224],"$f(\\cdot)$":[147],"enter":[148],"error":[150],"formulae":[151,258],"through":[152],"summary":[154],"parameters":[155],"$D(cone)$":[156],"$D(\u03bb)$,":[158],"which":[159],"are":[160],"Gaussian":[164],"squared-distances":[165],"subdifferential":[168],"cone":[169],"$\u03bb$-scaled":[173],"subdifferential,":[174],"The":[176],"first":[177],"assumes":[180],"a-priori":[181],"knowledge":[182],"$f(x_0)$":[184],"is":[186,199,228],"given":[187,229],"$\\arg\\min_{x}\\{{\\|y-Ax\\|_2}~\\text{subject":[189],"to}~f(x)\\leq":[190],"f(x_0)\\}$.":[191],"prove":[193],"worst":[196],"case":[197],"NSE":[198,219],"achieved":[200],"when":[201],"$\u03c3\\rightarrow":[202],"0$":[203],"concentrates":[205],"around":[206],"$\\frac{D(cone)}{m-D(cone)}$.":[207],"Secondly,":[208],"$\\arg\\min_{x}\\{\\|y-Ax\\|_2+\u03bbf(x)\\}$,":[211],"for":[212,246],"some":[213],"$\u03bb\\geq":[214],"0$.":[215],"This":[216],"time":[217],"formula":[220],"depends":[221],"on":[222,263],"$\u03bb$":[226],"$\\frac{D(\u03bb)}{m-D(\u03bb)}$.":[231],"then":[233],"establish":[234],"mapping":[236],"between":[237],"this":[238],"third":[241],"$\\arg\\min_{x}\\{\\frac{1}{2}\\|y-Ax\\|_2^2+":[243],"\u03bbf(x)\\}$.":[244],"Finally,":[245],"important":[250],"structured":[251],"classes,":[253],"translate":[255],"our":[256],"abstract":[257],"closed-form":[260],"upper":[261],"bounds":[262],"NSE.":[265]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}