{"id":"https://openalex.org/W2045110278","doi":"https://doi.org/10.1109/acssc.2013.6810450","title":"Sparse recovery over continuous dictionaries-just discretize","display_name":"Sparse recovery over continuous dictionaries-just discretize","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2045110278","doi":"https://doi.org/10.1109/acssc.2013.6810450","mag":"2045110278"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2013.6810450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2013.6810450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Asilomar Conference on Signals, Systems and Computers","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/A5101848896","display_name":"Gongguo Tang","orcid":"https://orcid.org/0000-0002-7879-1338"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gongguo Tang","raw_affiliation_strings":["University of Wisconsin-Madison","University of Wisconsin, Madison"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin, Madison","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016309034","display_name":"Badri Narayan Bhaskar","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Badri Narayan Bhaskar","raw_affiliation_strings":["University of Wisconsin-Madison","University of Wisconsin, Madison"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin, Madison","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012870568","display_name":"Benjamin Recht","orcid":"https://orcid.org/0000-0002-0293-593X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Recht","raw_affiliation_strings":["University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101848896"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":13.39,"has_fulltext":false,"cited_by_count":87,"citation_normalized_percentile":{"value":0.99251809,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1043","last_page":"1047"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10232","display_name":"Optical Network Technologies","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/discretization","display_name":"Discretization","score":0.8912132382392883},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.7837629318237305},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.771451473236084},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.631096601486206},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6175470948219299},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5972844958305359},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5807507634162903},{"id":"https://openalex.org/keywords/minimisation","display_name":"Minimisation (clinical trials)","score":0.5404963493347168},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4903254806995392},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4899265170097351},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46812525391578674},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.44957858324050903},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.430669903755188},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4254467189311981},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42533597350120544},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38242432475090027},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3377530574798584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0934542715549469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07705023884773254},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06962975859642029}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8912132382392883},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.7837629318237305},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.771451473236084},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.631096601486206},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6175470948219299},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5972844958305359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5807507634162903},{"id":"https://openalex.org/C86941820","wikidata":"https://www.wikidata.org/wiki/Q6865391","display_name":"Minimisation (clinical trials)","level":2,"score":0.5404963493347168},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4903254806995392},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4899265170097351},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46812525391578674},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.44957858324050903},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.430669903755188},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4254467189311981},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42533597350120544},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38242432475090027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3377530574798584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0934542715549469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07705023884773254},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06962975859642029},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acssc.2013.6810450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2013.6810450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.7200000286102295,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W177890044","https://openalex.org/W1582706191","https://openalex.org/W2028191993","https://openalex.org/W2043136268","https://openalex.org/W2043709234","https://openalex.org/W2123457453","https://openalex.org/W2167077875","https://openalex.org/W2565293665","https://openalex.org/W2964325628","https://openalex.org/W3124617746","https://openalex.org/W6635025675"],"related_works":["https://openalex.org/W2091883426","https://openalex.org/W3173235360","https://openalex.org/W2174948646","https://openalex.org/W2024017047","https://openalex.org/W4318256793","https://openalex.org/W2051410394","https://openalex.org/W2594370889","https://openalex.org/W2390720471","https://openalex.org/W1600789676","https://openalex.org/W2134327945"],"abstract_inverted_index":{"In":[0],"many":[1],"applications":[2],"of":[3,72],"sparse":[4,10,30],"recovery,":[5],"the":[6,35,47,63,70,73],"signal":[7],"has":[8],"a":[9,16,25,55],"representation":[11],"only":[12],"with":[13],"respect":[14],"to":[15,28,60],"continuously":[17],"parameterized":[18],"dictionary.":[19],"Although":[20],"atomic":[21,64],"norm":[22,65],"minimization":[23,66],"provides":[24],"general":[26],"framework":[27],"handle":[29],"recovery":[31],"over":[32],"continuous":[33],"dictionaries,":[34],"computational":[36],"aspects":[37],"largely":[38],"remain":[39],"unclear.":[40],"By":[41],"establishing":[42],"various":[43],"convergence":[44],"results":[45],"as":[46,54],"discretization":[48,53],"gets":[49],"finer,":[50],"we":[51],"promote":[52],"universal":[56],"and":[57],"effective":[58],"way":[59],"approximately":[61],"solve":[62],"problem,":[67],"especially":[68],"when":[69],"dimension":[71],"parameter":[74],"space":[75],"is":[76],"low.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
