{"id":"https://openalex.org/W2898334835","doi":"https://doi.org/10.1109/access.2018.2877763","title":"Overcomplete Transform Learning With the &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$log$ &lt;/tex-math&gt; &lt;/inline-formula&gt; Regularizer","display_name":"Overcomplete Transform Learning With the &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$log$ &lt;/tex-math&gt; &lt;/inline-formula&gt; Regularizer","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2898334835","doi":"https://doi.org/10.1109/access.2018.2877763","mag":"2898334835"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2877763","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877763","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2877763","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062429830","display_name":"Zhenni Li","orcid":"https://orcid.org/0000-0001-8098-0341"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenni Li","raw_affiliation_strings":["School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043262479","display_name":"Shengli Xie","orcid":"https://orcid.org/0000-0003-2041-5214"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengli Xie","raw_affiliation_strings":["School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066482792","display_name":"Wuhui Chen","orcid":"https://orcid.org/0000-0003-4430-7904"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wuhui Chen","raw_affiliation_strings":["School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069624559","display_name":"Zuyuan Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zuyuan Yang","raw_affiliation_strings":["School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062429830"],"corresponding_institution_ids":["https://openalex.org/I139024713"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.208,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.52794333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"65239","last_page":"65249"},"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":0.9933000206947327,"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":0.9927999973297119,"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":0.6118574738502502},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48226314783096313},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45973291993141174},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.456378310918808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.453584223985672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245513081550598},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4047905206680298},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23324009776115417},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1509847640991211}],"concepts":[{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6118574738502502},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48226314783096313},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45973291993141174},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.456378310918808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.453584223985672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245513081550598},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4047905206680298},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23324009776115417},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1509847640991211},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2877763","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877763","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:150c7a9be17446989175effe497256aa","is_oa":true,"landing_page_url":"https://doaj.org/article/150c7a9be17446989175effe497256aa","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 65239-65249 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2877763","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877763","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1292142964","display_name":null,"funder_award_id":"2014B090907010","funder_id":"https://openalex.org/F4320324202","funder_display_name":"Guangdong Science and Technology Department"},{"id":"https://openalex.org/G455091766","display_name":null,"funder_award_id":"201610010196","funder_id":"https://openalex.org/F4320335377","funder_display_name":"Pearl River S and T Nova Program of Guangzhou"},{"id":"https://openalex.org/G5568488553","display_name":null,"funder_award_id":"61333013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7651147327","display_name":null,"funder_award_id":"61722304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G811591773","display_name":null,"funder_award_id":"2015B010106010","funder_id":"https://openalex.org/F4320324202","funder_display_name":"Guangdong Science and Technology Department"},{"id":"https://openalex.org/G8517117170","display_name":null,"funder_award_id":"2015B010131014","funder_id":"https://openalex.org/F4320324202","funder_display_name":"Guangdong Science and Technology Department"},{"id":"https://openalex.org/G8978350099","display_name":null,"funder_award_id":"61803096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G987675907","display_name":null,"funder_award_id":"2017B010125002","funder_id":"https://openalex.org/F4320324202","funder_display_name":"Guangdong Science and Technology Department"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324202","display_name":"Guangdong Science and Technology Department","ror":"https://ror.org/00tjzgn92"},{"id":"https://openalex.org/F4320335377","display_name":"Pearl River S and T Nova Program of Guangzhou","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1525235980","https://openalex.org/W1976717824","https://openalex.org/W1988557812","https://openalex.org/W1994281301","https://openalex.org/W2027982384","https://openalex.org/W2033585806","https://openalex.org/W2043317267","https://openalex.org/W2075157914","https://openalex.org/W2115706991","https://openalex.org/W2118718620","https://openalex.org/W2120047933","https://openalex.org/W2121123096","https://openalex.org/W2129732816","https://openalex.org/W2132702454","https://openalex.org/W2133665775","https://openalex.org/W2144148095","https://openalex.org/W2146949217","https://openalex.org/W2171004446","https://openalex.org/W2178963442","https://openalex.org/W2191962456","https://openalex.org/W2342541058","https://openalex.org/W2342866759","https://openalex.org/W2510237014","https://openalex.org/W2569743374","https://openalex.org/W2590475945","https://openalex.org/W2608011385","https://openalex.org/W2765202580","https://openalex.org/W2772732314","https://openalex.org/W2789587413","https://openalex.org/W2803978698","https://openalex.org/W2805246991","https://openalex.org/W2826685045","https://openalex.org/W3098880027","https://openalex.org/W6631509415","https://openalex.org/W6677759377","https://openalex.org/W6745193812","https://openalex.org/W6751395283"],"related_works":["https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2116854923","https://openalex.org/W2750730210","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W4233939244","https://openalex.org/W2730764323","https://openalex.org/W3123806511","https://openalex.org/W2106145857"],"abstract_inverted_index":{"Transform":[0],"learning":[1,104,149,191],"has":[2,67],"been":[3],"proposed":[4,167,186,209],"as":[5,32],"a":[6,54,68,120,127],"new":[7],"and":[8,93,145,161,173],"effective":[9],"formulation":[10],"for":[11,71],"analysis":[12,158],"dictionary":[13],"learning,":[14],"where":[15,126],"the":[16,23,42,46,60,64,72,82,87,94,101,113,131,139,157,162,178,185,194,201,208,215],"\u2113":[17,24,88,95,195,202],"<sub":[18,25,89,96,196,203],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[19,26,90,97,197,204],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[20,91,198],"norm":[21,28,92,99,199],"or":[22,45,200],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[27,98,205],"are":[29],"generally":[30],"used":[31],"sparsity":[33],"constraint.":[34],"The":[35,49,166],"sparse":[36],"solutions":[37,172],"can":[38,169],"be":[39,135],"obtained":[40,136],"by":[41],"hard":[43,50],"thresholding":[44,51,66],"soft":[47,65],"thresholding.":[48],"is":[52,109,151,211],"actually":[53],"greedy":[55],"algorithm,":[56],"which":[57,153],"only":[58],"obtains":[59],"approximate":[61],"solutions;":[62],"while":[63],"certain":[69],"bias":[70],"large":[73],"elements.":[74],"In":[75],"this":[76],"paper,":[77],"we":[78],"propose":[79,117],"to":[80,112,118],"employ":[81,119],"log":[83,114,132],"regularizer":[84],"instead":[85],"of":[86,130],"in":[100],"overcomplete":[102,147],"transform":[103,148,163,190],"problem.":[105],"Our":[106],"minimization":[107,124],"problem":[108],"nonconvex":[110],"due":[111],"regularizer.":[115],"We":[116],"simple":[121],"proximal":[122,140],"alternating":[123],"method,":[125],"closed-form":[128],"solution":[129],"function":[133],"could":[134],"based":[137,155],"on":[138,156,212],"operator.":[141],"Hence,":[142],"an":[143],"efficient":[144],"fast":[146],"algorithm":[150,168,187,210],"developed,":[152],"iterates":[154],"coding":[159],"stage":[160],"update":[164],"stage.":[165],"obtain":[170],"sparser":[171],"more":[174],"accurate":[175],"results":[176],"from":[177],"theoretical":[179],"analysis.":[180],"Numerical":[181],"experiments":[182],"verify":[183],"that":[184],"outperforms":[188],"existing":[189],"approaches":[192],"with":[193,214],"norm.":[206],"Furthermore,":[207],"par":[213],"state-of-the-art":[216],"image":[217],"denoising":[218],"algorithms.":[219]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2018-11-02T00:00:00"}
