{"id":"https://openalex.org/W2019394223","doi":"https://doi.org/10.1109/icassp.2014.6854607","title":"Doubly sparse transform learning with convergence guarantees","display_name":"Doubly sparse transform learning with convergence guarantees","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W2019394223","doi":"https://doi.org/10.1109/icassp.2014.6854607","mag":"2019394223"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2014.6854607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2014.6854607","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 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/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":["Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, , USA","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":[{"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":"Yoram Bresler","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, , USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.322,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.60427885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"54","issue":null,"first_page":"5262","last_page":"5266"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9980999827384949,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9977999925613403,"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/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.7344985604286194},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6321985721588135},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.6056013107299805},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5787811279296875},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.567621111869812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5561599135398865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5302535891532898},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5057353973388672},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.48672130703926086},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4309423267841339},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4247034788131714},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40288597345352173},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3797588348388672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.352111279964447}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.7344985604286194},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6321985721588135},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.6056013107299805},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5787811279296875},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.567621111869812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5561599135398865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5302535891532898},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5057353973388672},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.48672130703926086},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4309423267841339},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4247034788131714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40288597345352173},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3797588348388672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.352111279964447},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2014.6854607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2014.6854607","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W2005089986","https://openalex.org/W2017692724","https://openalex.org/W2021302824","https://openalex.org/W2028781966","https://openalex.org/W2038016146","https://openalex.org/W2047576951","https://openalex.org/W2100556411","https://openalex.org/W2107844156","https://openalex.org/W2115429828","https://openalex.org/W2115755118","https://openalex.org/W2120047933","https://openalex.org/W2128659236","https://openalex.org/W2141039087","https://openalex.org/W2142224912","https://openalex.org/W2143731537","https://openalex.org/W2145889472","https://openalex.org/W2146738562","https://openalex.org/W2149974988","https://openalex.org/W2151693816","https://openalex.org/W2153663612","https://openalex.org/W2158252006","https://openalex.org/W2158874661","https://openalex.org/W2160547390","https://openalex.org/W2160979406","https://openalex.org/W2168668658","https://openalex.org/W2257784670","https://openalex.org/W6682009426","https://openalex.org/W6692327088"],"related_works":["https://openalex.org/W1916685473","https://openalex.org/W2055682261","https://openalex.org/W1993363272","https://openalex.org/W2186390138","https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2985979428","https://openalex.org/W2510140549","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"The":[0],"sparsity":[1],"of":[2,24,34,108,124],"natural":[3],"signals":[4],"in":[5,16,37],"transform":[6,68],"domains":[7],"such":[8,134],"as":[9,128,135],"the":[10,22,32,43,50,78,109,114,121,136],"DCT":[11,137],"has":[12],"been":[13],"heavily":[14],"exploited":[15],"various":[17],"applications.":[18],"Recently,":[19],"we":[20,59],"introduced":[21],"idea":[23],"learning":[25,44],"sparsifying":[26,67,132],"transforms":[27,36,127,133],"from":[28],"data,":[29],"and":[30,40,49,85,98],"demonstrated":[31],"usefulness":[33],"learnt":[35,126],"image":[38,139],"representation,":[39],"denoising.":[41],"However,":[42],"formulations":[45],"therein":[46],"were":[47],"non-convex,":[48],"algorithms":[51],"lacked":[52],"strong":[53],"convergence":[54],"properties.":[55],"In":[56],"this":[57],"work,":[58],"propose":[60],"a":[61,73,95,105],"novel":[62],"convex":[63,110],"formulation":[64],"for":[65,112,138],"square":[66],"learning.":[69],"We":[70,102,119],"also":[71,103],"enforce":[72],"doubly":[74],"sparse":[75],"structure":[76],"on":[77],"transform,":[79],"which":[80,113],"makes":[81],"its":[82],"learning,":[83],"storage,":[84],"implementation":[86],"efficient.":[87],"Our":[88],"algorithm":[89,115],"is":[90,116],"guaranteed":[91],"to":[92,94,130],"converge":[93],"global":[96],"optimum,":[97],"moreover":[99],"converges":[100],"quickly.":[101],"introduce":[104],"non-convex":[106],"variant":[107],"formulation,":[111],"locally":[117],"convergent.":[118],"show":[120],"superior":[122],"promise":[123],"our":[125],"compared":[129],"analytical":[131],"representation.":[140]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}