{"id":"https://openalex.org/W2115796539","doi":"https://doi.org/10.1109/icassp.2012.6288749","title":"Deterministic phase guarantees for robust recovery in incoherent dictionaries","display_name":"Deterministic phase guarantees for robust recovery in incoherent dictionaries","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2115796539","doi":"https://doi.org/10.1109/icassp.2012.6288749","mag":"2115796539"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5084702636","display_name":"Cheuk Ting Li","orcid":"https://orcid.org/0000-0002-4803-212X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cheuk Ting Li","raw_affiliation_strings":["Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, New Territories, Hong Kong, China","The Chinese University of Hong Kong Department of Information Engineering Shatin NT Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, New Territories, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong Department of Information Engineering Shatin NT Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","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":false,"raw_author_name":"Samet Oymak","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","California Institute of Technology, Dept. of Electrical Engineering, Pasadena, 91125, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology, Dept. of Electrical Engineering, Pasadena, 91125, 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, California Institute of Technology, Pasadena, CA, USA","California Institute of Technology, Dept. of Electrical Engineering, Pasadena, 91125, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology, Dept. of Electrical Engineering, Pasadena, 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084702636"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":1.0286,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77312859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3817","last_page":"3820"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.8872556686401367},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7302024960517883},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6211217641830444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.594648003578186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5017123222351074},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.48452872037887573},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4629460573196411},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.456521213054657},{"id":"https://openalex.org/keywords/multivariate-random-variable","display_name":"Multivariate random variable","score":0.4498044550418854},{"id":"https://openalex.org/keywords/basis-pursuit","display_name":"Basis pursuit","score":0.44740912318229675},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.43833574652671814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3988344073295593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3431650400161743},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.3152550756931305},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24104037880897522},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1452150046825409},{"id":"https://openalex.org/keywords/matching-pursuit","display_name":"Matching pursuit","score":0.07818534970283508}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.8872556686401367},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7302024960517883},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6211217641830444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.594648003578186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5017123222351074},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.48452872037887573},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4629460573196411},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.456521213054657},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.4498044550418854},{"id":"https://openalex.org/C99217422","wikidata":"https://www.wikidata.org/wiki/Q4867576","display_name":"Basis pursuit","level":4,"score":0.44740912318229675},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.43833574652671814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3988344073295593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3431650400161743},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.3152550756931305},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24104037880897522},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1452150046825409},{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.07818534970283508},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/icassp.2012.6288749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1495421100","https://openalex.org/W1986931325","https://openalex.org/W2020775053","https://openalex.org/W2077444234","https://openalex.org/W2078204800","https://openalex.org/W2099641086","https://openalex.org/W2103012681","https://openalex.org/W2115447612","https://openalex.org/W2145096794","https://openalex.org/W2146144046","https://openalex.org/W2157969180","https://openalex.org/W2160396672","https://openalex.org/W3101762025","https://openalex.org/W4233413206"],"related_works":["https://openalex.org/W1898707509","https://openalex.org/W2199748221","https://openalex.org/W3088606048","https://openalex.org/W2169904627","https://openalex.org/W2436826437","https://openalex.org/W2952153915","https://openalex.org/W4289259997","https://openalex.org/W2330143608","https://openalex.org/W4300448317","https://openalex.org/W2984862312"],"abstract_inverted_index":{"This":[0,49],"paper":[1,50],"presents":[2],"a":[3,62,68,84],"relaxation":[4],"of":[5,13,21,35,38,102,114],"an":[6],"assumption":[7,31],"usually":[8],"imposed":[9],"in":[10,19,46],"the":[11,33,36,39,86,103,112,115],"recovery":[12,53],"sparse":[14,40,69],"vectors":[15],"with":[16,71,80],"random":[17,72],"support":[18,73],"pairs":[20],"orthonormal":[22],"bases":[23],"or":[24],"incoherent":[25],"dictionaries":[26],"by":[27],"basis":[28],"pursuit.":[29],"The":[30],"requires":[32],"phases":[34,76,87],"entries":[37],"vector":[41,70],"to":[42],"be":[43,78,94],"chosen":[44],"randomly":[45],"[0,":[47],"2\u03c0).":[48],"provides":[51],"probabilistic":[52],"guarantees":[54],"for":[55],"deterministic":[56],"phases.":[57],"We":[58],"prove":[59],"that,":[60],"if":[61],"phase":[63],"pattern":[64],"is":[65],"fixed,":[66],"then":[67],"and":[74,92],"corresponding":[75],"can":[77,88,93],"recovered":[79],"high":[81],"probability.":[82],"As":[83],"result,":[85],"take":[89],"any":[90],"distribution":[91],"dependent,":[95],"as":[96,98],"long":[97],"they":[99],"are":[100],"independent":[101],"support.":[104],"Furthermore,":[105],"this":[106],"improvement":[107],"does":[108],"not":[109],"come":[110],"at":[111],"expense":[113],"maximum":[116],"recoverable":[117],"sparsity.":[118]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
