{"id":"https://openalex.org/W2554182088","doi":"https://doi.org/10.1109/allerton.2014.7028545","title":"Estimating structured signals in sparse noise: A precise noise sensitivity analysis","display_name":"Estimating structured signals in sparse noise: A precise noise sensitivity analysis","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2554182088","doi":"https://doi.org/10.1109/allerton.2014.7028545","mag":"2554182088"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2014.7028545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Caltech, Pasadena","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":3.7806,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.94317023,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":null,"first_page":"866","last_page":"873"},"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":0.9961000084877014,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9955999851226807,"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/underdetermined-system","display_name":"Underdetermined system","score":0.6269797086715698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44439569115638733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43897518515586853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33186453580856323},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3214157223701477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2769412398338318}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.6269797086715698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44439569115638733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43897518515586853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33186453580856323},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3214157223701477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2769412398338318}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2014.7028545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:54326","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/54326/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W74946117","https://openalex.org/W1546851689","https://openalex.org/W1550626790","https://openalex.org/W1599545414","https://openalex.org/W1684009677","https://openalex.org/W1689484996","https://openalex.org/W1800334520","https://openalex.org/W1823108738","https://openalex.org/W1881709950","https://openalex.org/W1928866391","https://openalex.org/W1978901787","https://openalex.org/W2027123933","https://openalex.org/W2034260606","https://openalex.org/W2035679598","https://openalex.org/W2078204800","https://openalex.org/W2089493818","https://openalex.org/W2096586829","https://openalex.org/W2116581043","https://openalex.org/W2123202508","https://openalex.org/W2135046866","https://openalex.org/W2139255721","https://openalex.org/W2164595191","https://openalex.org/W2167077875","https://openalex.org/W2276850109","https://openalex.org/W2798510847","https://openalex.org/W2950190315","https://openalex.org/W2951539721","https://openalex.org/W2953205549","https://openalex.org/W2963859534","https://openalex.org/W2964312599","https://openalex.org/W3099718522","https://openalex.org/W3103542348","https://openalex.org/W3103870504","https://openalex.org/W3105340263","https://openalex.org/W3124617746","https://openalex.org/W4244030918","https://openalex.org/W4285719527","https://openalex.org/W4295132142","https://openalex.org/W4301425558","https://openalex.org/W4301873657"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W133751542","https://openalex.org/W2066796569","https://openalex.org/W2997320962","https://openalex.org/W4287906532","https://openalex.org/W3011121006","https://openalex.org/W176802781","https://openalex.org/W2084978503","https://openalex.org/W3213509687"],"abstract_inverted_index":{"We":[0,86,123],"consider":[1],"the":[2,21,38,43,71,89,94,112,119,127,131,137,142,155,164],"problem":[3],"of":[4,23,36,40,45,73,91,97,157,166],"estimating":[5],"a":[6,65],"structured":[7],"signal":[8],"xo":[9,41],"from":[10],"linear,":[11],"underdetermined":[12],"and":[13,42,93,105],"noisy":[14],"measurements":[15],"y":[16],"=":[17,50],"Ax0+":[18],"z,":[19],"in":[20,154],"presence":[22,156],"sparse":[24],"noise":[25,114,138],"z.":[26],"A":[27,92],"natural":[28],"approach":[29],"to":[30,55,69,77,83],"recovering":[31],"x0,":[32,74],"that":[33,88,126],"takes":[34],"advantage":[35],"both":[37],"structure":[39,72],"sparsity":[44,79],"z":[46,98],"is":[47,64,139,147],"solving:":[48],"x":[49],"arg":[51],"minx||y":[52],"-":[53,117],"Ax||1subject":[54],"f(x)":[56],"\u2264":[57],"f(x0)":[58],"(constrained":[59],"LAD":[60,128],"estimator).":[61],"Here,":[62],"f":[63],"convex":[66],"function":[67],"aiming":[68],"promote":[70,78,84],"say":[75],"\u21131-norm":[76],"or":[80],"nuclear":[81],"norm":[82],"low-rankness.":[85],"assume":[87],"entries":[90,96],"non-zero":[95],"are":[99],"i.i.d":[100],"normal":[101],"with":[102],"variances":[103],"1":[104],"\u03c32,":[106],"respectively.":[107],"Our":[108,160],"analysis":[109],"precisely":[110],"characterizes":[111],"asymptotic":[113],"sensitivity":[115],"||x":[116],"x0||22/\u03c32in":[118],"limit":[120],"\u03c32\u2192":[121],"0.":[122],"show":[124],"analytically":[125],"method":[129,135],"outperforms":[130],"more":[132,149],"popular":[133],"LASSO":[134],"when":[136],"sparse.":[140],"At":[141],"same":[143],"time":[144],"its":[145],"performance":[146],"no":[148],"than":[150],"\u03c0/2":[151],"times":[152],"worse":[153],"non-sparse":[158],"noise.":[159],"simulation":[161],"results":[162],"verify":[163],"validity":[165],"our":[167],"theoretical":[168],"predictions.":[169]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
