{"id":"https://openalex.org/W2115061756","doi":"https://doi.org/10.1109/icassp.2008.4518500","title":"Average case analysis of sparse recovery with thresholding : New bounds based on average dictionary coherence","display_name":"Average case analysis of sparse recovery with thresholding : New bounds based on average dictionary coherence","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2115061756","doi":"https://doi.org/10.1109/icassp.2008.4518500","mag":"2115061756"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2008.4518500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518500","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/116112","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056404513","display_name":"Mohammad Golbabaee","orcid":"https://orcid.org/0000-0001-5822-2990"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"Mohammad Golbabaee","raw_affiliation_strings":["Signal Processing Institute, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland","Ecole Polytech. Fed. de Lausanne (EPFL), Signal Process. Inst., Lausanne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Institute, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytech. Fed. de Lausanne (EPFL), Signal Process. Inst., Lausanne","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028520858","display_name":"Pierre Vandergheynst","orcid":"https://orcid.org/0000-0002-9070-900X"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"Pierre Vandergheynst","raw_affiliation_strings":["Signal Processing Institute, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland","Ecole Polytech. Fed. de Lausanne (EPFL), Signal Process. Inst., Lausanne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Institute, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytech. Fed. de Lausanne (EPFL), Signal Process. Inst., Lausanne","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.2283237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3877","last_page":"3880"},"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/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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"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/thresholding","display_name":"Thresholding","score":0.8873440623283386},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8116805553436279},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.7082380056381226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6157877445220947},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6022455096244812},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.524919331073761},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4954153299331665},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.48009636998176575},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.44056421518325806},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43503618240356445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33542442321777344},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16719794273376465},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1114945113658905}],"concepts":[{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.8873440623283386},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8116805553436279},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.7082380056381226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6157877445220947},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6022455096244812},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.524919331073761},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4954153299331665},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.48009636998176575},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.44056421518325806},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43503618240356445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33542442321777344},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16719794273376465},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1114945113658905},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icassp.2008.4518500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518500","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.177.4562","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.177.4562","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/116112/files/golbabaee.pdf?version=1","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:116112","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/116112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"pmh:oai:infoscience.tind.io:116112","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/17151","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:116112","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/116112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1986931325","https://openalex.org/W1999905919","https://openalex.org/W2020775053","https://openalex.org/W2078204800","https://openalex.org/W2086413318","https://openalex.org/W2095210832","https://openalex.org/W2116148865","https://openalex.org/W2128659236","https://openalex.org/W2139225839","https://openalex.org/W2151693816","https://openalex.org/W2153663612","https://openalex.org/W2154996879"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W3094954546","https://openalex.org/W1488708774","https://openalex.org/W1982811510","https://openalex.org/W4391100477","https://openalex.org/W2402189625","https://openalex.org/W4327779705","https://openalex.org/W4310560702","https://openalex.org/W1542224353","https://openalex.org/W1513698804"],"abstract_inverted_index":{"This":[0],"paper":[1,72],"analyzes":[2],"the":[3,6,34,38],"performance":[4],"of":[5,40,79],"simple":[7],"thresholding":[8,50],"algorithm":[9],"for":[10,32,57],"sparse":[11],"signal":[12,27],"representations.":[13],"In":[14],"particular,":[15],"in":[16,51,70,91],"order":[17],"to":[18,86],"be":[19,87],"more":[20],"realistic":[21],"we":[22,47,68],"introduce":[23],"a":[24,76],"new":[25,77],"probabilistic":[26],"model":[28,46],"which":[29],"assumes":[30],"randomness":[31],"both":[33],"amplitude":[35],"and":[36,83],"also":[37],"location":[39],"nonzero":[41],"entries.":[42],"Based":[43],"on":[44,75],"this":[45,71],"show":[48],"that":[49],"average":[52,80],"can":[53],"correctly":[54],"recover":[55],"signals":[56],"much":[58,88],"higher":[59],"sparsity":[60],"levels":[61],"than":[62,90],"was":[63],"previously":[64],"reported.":[65],"The":[66],"bounds":[67],"obtain":[69],"are":[73,84],"based":[74],"concept":[78],"dictionary":[81],"coherence":[82],"shown":[85],"sharper":[89],"former":[92],"works":[93],"[1,2].":[94]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
