{"id":"https://openalex.org/W2189938900","doi":"https://doi.org/10.1137/141002293","title":"Efficient Blind Compressed Sensing Using Sparsifying Transforms with Convergence Guarantees and Application to Magnetic Resonance Imaging","display_name":"Efficient Blind Compressed Sensing Using Sparsifying Transforms with Convergence Guarantees and Application to Magnetic Resonance Imaging","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2189938900","doi":"https://doi.org/10.1137/141002293","mag":"2189938900"},"language":"en","primary_location":{"id":"doi:10.1137/141002293","is_oa":false,"landing_page_url":"https://doi.org/10.1137/141002293","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-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/A5111562177","display_name":"Saiprasad Ravishankar","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saiprasad Ravishankar","raw_affiliation_strings":["***University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026523226","display_name":"Yoram Bresler","orcid":"https://orcid.org/0000-0002-9738-1094"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoram Bresler","raw_affiliation_strings":["Electrical and Computer Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.414,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.99617976,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"8","issue":"4","first_page":"2519","last_page":"2557"},"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9991000294685364,"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/compressed-sensing","display_name":"Compressed sensing","score":0.8137074112892151},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.7894958257675171},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.6536135077476501},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5949773788452148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5801831483840942},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.5517388582229614},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5250986814498901},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4738842844963074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4370805025100708},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.43127936124801636},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4186611771583557},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.39794299006462097},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.376850426197052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33929723501205444}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8137074112892151},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7894958257675171},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6536135077476501},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5949773788452148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5801831483840942},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.5517388582229614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5250986814498901},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4738842844963074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4370805025100708},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.43127936124801636},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4186611771583557},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.39794299006462097},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.376850426197052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33929723501205444},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/141002293","is_oa":false,"landing_page_url":"https://doi.org/10.1137/141002293","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1598974686","https://openalex.org/W1968154520","https://openalex.org/W1976709621","https://openalex.org/W1978418556","https://openalex.org/W1986931325","https://openalex.org/W2008644337","https://openalex.org/W2017692724","https://openalex.org/W2021302824","https://openalex.org/W2028781966","https://openalex.org/W2042653706","https://openalex.org/W2050834445","https://openalex.org/W2056370875","https://openalex.org/W2056758595","https://openalex.org/W2063978378","https://openalex.org/W2065919982","https://openalex.org/W2070678378","https://openalex.org/W2075157914","https://openalex.org/W2090457307","https://openalex.org/W2093621384","https://openalex.org/W2097323375","https://openalex.org/W2101507236","https://openalex.org/W2101675075","https://openalex.org/W2107844156","https://openalex.org/W2114122776","https://openalex.org/W2117853853","https://openalex.org/W2118911754","https://openalex.org/W2126534699","https://openalex.org/W2127114523","https://openalex.org/W2129131372","https://openalex.org/W2129732816","https://openalex.org/W2134809980","https://openalex.org/W2141039087","https://openalex.org/W2141168890","https://openalex.org/W2145096794","https://openalex.org/W2145889472","https://openalex.org/W2149400409","https://openalex.org/W2151693816","https://openalex.org/W2153663612","https://openalex.org/W2160547390","https://openalex.org/W2160979406","https://openalex.org/W2167188281","https://openalex.org/W2167577940","https://openalex.org/W2168668658","https://openalex.org/W2170962921","https://openalex.org/W2777700417","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2094872030","https://openalex.org/W2005661815","https://openalex.org/W2146757636","https://openalex.org/W2099272513","https://openalex.org/W2991205432","https://openalex.org/W2393324510","https://openalex.org/W3002248669","https://openalex.org/W2155346812","https://openalex.org/W2101001931","https://openalex.org/W2108953117"],"abstract_inverted_index":{"Natural":[0],"signals":[1],"and":[2,17,33,77,156],"images":[3,42,55],"are":[4,119,124,148],"well":[5,88],"known":[6],"to":[7,53,81,133,150,189],"be":[8,151],"approximately":[9],"sparse":[10],"in":[11,27,30,46],"transform":[12,48,72,92],"domains":[13],"such":[14],"as":[15,87,89],"wavelets":[16],"discrete":[18],"cosine":[19],"transform.":[20],"This":[21],"property":[22],"has":[23],"been":[24],"heavily":[25],"exploited":[26],"various":[28],"applications":[29],"image":[31,44,86,180],"processing":[32],"medical":[34],"imaging.":[35],"Compressed":[36],"sensing":[37,117],"exploits":[38],"the":[39,69,84,90,113,134,140,143,171,174,193],"sparsity":[40],"of":[41,136,139,163,173],"or":[43,50],"patches":[45],"a":[47,74,79],"domain":[49],"synthesis":[51,194],"dictionary":[52,195],"reconstruct":[54,83],"from":[56,93,130,182],"undersampled":[57,95,184],"measurements.":[58,96,186],"In":[59],"this":[60],"work,":[61],"we":[62,109],"focus":[63],"on":[64,167],"blind":[65,115],"compressed":[66,116],"sensing,":[67],"where":[68],"underlying":[70,85],"sparsifying":[71,91],"is":[73,199],"priori":[75],"unknown,":[76],"propose":[78],"framework":[80,176],"simultaneously":[82],"highly":[94,104,120,183],"The":[97,160],"proposed":[98,114,175],"block":[99],"coordinate":[100],"descent-type":[101],"algorithms":[102,123],"involve":[103],"efficient":[105],"optimal":[106],"updates.":[107],"Importantly,":[108],"prove":[110],"that":[111],"although":[112],"formulations":[118],"nonconvex,":[121],"our":[122,197],"globally":[125],"convergent":[126],"(i.e.,":[127],"they":[128],"converge":[129],"any":[131],"initialization)":[132],"set":[135],"critical":[137,146],"points":[138,147],"objectives":[141],"defining":[142],"formulations.":[144],"These":[145],"guaranteed":[149],"at":[152],"least":[153],"partial":[154,157],"global":[155],"local":[158],"minimizers.":[159],"exact":[161],"point(s)":[162],"convergence":[164],"may":[165],"depend":[166],"initialization.":[168],"We":[169],"illustrate":[170],"usefulness":[172],"for":[177],"magnetic":[178],"resonance":[179],"reconstruction":[181,206],"k-space":[185],"As":[187],"compared":[188],"previous":[190],"methods":[191],"involving":[192],"model,":[196],"approach":[198],"much":[200],"faster,":[201],"while":[202],"also":[203],"providing":[204],"promising":[205],"quality.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":19},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
