{"id":"https://openalex.org/W3039186055","doi":"https://doi.org/10.1109/jstsp.2021.3054506","title":"A Deep Primal-Dual Proximal Network for Image Restoration","display_name":"A Deep Primal-Dual Proximal Network for Image Restoration","publication_year":2021,"publication_date":"2021-01-29","ids":{"openalex":"https://openalex.org/W3039186055","doi":"https://doi.org/10.1109/jstsp.2021.3054506","mag":"3039186055"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2021.3054506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2021.3054506","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.00959","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017257056","display_name":"Mingyuan Jiu","orcid":"https://orcid.org/0000-0002-4868-0709"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingyuan Jiu","raw_affiliation_strings":["School of Information Engineering, Zhengzhou University, Zhengzhou, China","School  of  Information  Engineering,   Zhengzhou  University  Zhengzhou,"],"raw_orcid":"https://orcid.org/0000-0002-4868-0709","affiliations":[{"raw_affiliation_string":"School of Information Engineering, Zhengzhou University, Zhengzhou, China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School  of  Information  Engineering,   Zhengzhou  University  Zhengzhou,","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074166239","display_name":"Nelly Pustelnik","orcid":"https://orcid.org/0000-0001-7310-1927"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nelly Pustelnik","raw_affiliation_strings":["University of Lyon, ENS de Lyon, Univeristy of Lyon 1, CNRS, Laboratoire de Physique, Lyon, France","Laboratoire de Physique de l'ENS Lyon"],"raw_orcid":"https://orcid.org/0000-0001-7310-1927","affiliations":[{"raw_affiliation_string":"University of Lyon, ENS de Lyon, Univeristy of Lyon 1, CNRS, Laboratoire de Physique, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210096929"]},{"raw_affiliation_string":"Laboratoire de Physique de l'ENS Lyon","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210096929"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2711,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.48886546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"2","first_page":"190","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.8907999992370605,"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"}},"topics":[{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.8907999992370605,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.08780000358819962,"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":0.005100000184029341,"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/regularization","display_name":"Regularization (linguistics)","score":0.5634502172470093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5633941292762756},{"id":"https://openalex.org/keywords/mnist-database","display_name":"MNIST database","score":0.5219628214836121},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5069444179534912},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.4884756803512573},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.48208266496658325},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4640326499938965},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45481809973716736},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4492250978946686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4113547205924988},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4108167588710785},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3908897042274475},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.35110267996788025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3212950825691223}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5634502172470093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5633941292762756},{"id":"https://openalex.org/C190502265","wikidata":"https://www.wikidata.org/wiki/Q17069496","display_name":"MNIST database","level":3,"score":0.5219628214836121},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5069444179534912},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.4884756803512573},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.48208266496658325},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4640326499938965},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45481809973716736},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4492250978946686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4113547205924988},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4108167588710785},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3908897042274475},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.35110267996788025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3212950825691223},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/jstsp.2021.3054506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2021.3054506","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.00959","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.00959","pdf_url":"https://arxiv.org/pdf/2007.00959","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:HAL:hal-03043918v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03043918","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing, 2021, 15 (2), pp.190 - 203. ⟨10.1109/JSTSP.2021.3054506⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2007.00959","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.00959","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.00959","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.00959","pdf_url":"https://arxiv.org/pdf/2007.00959","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":[{"display_name":"Sustainable cities and communities","score":0.5,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6949000609","display_name":null,"funder_award_id":"U1804152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7438514334","display_name":"Multiscale estimation and Interface detection","funder_award_id":"ANR-19-CE48-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8599507701","display_name":null,"funder_award_id":"61806180","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W54257720","https://openalex.org/W161217653","https://openalex.org/W205960364","https://openalex.org/W322738573","https://openalex.org/W935139217","https://openalex.org/W1563853427","https://openalex.org/W1791560514","https://openalex.org/W1850000976","https://openalex.org/W1895520453","https://openalex.org/W1906770428","https://openalex.org/W1946620893","https://openalex.org/W1966433771","https://openalex.org/W1986312779","https://openalex.org/W1998991750","https://openalex.org/W2005089986","https://openalex.org/W2006262045","https://openalex.org/W2011181254","https://openalex.org/W2039939700","https://openalex.org/W2044810215","https://openalex.org/W2052387674","https://openalex.org/W2100053953","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2105910985","https://openalex.org/W2107844156","https://openalex.org/W2112796928","https://openalex.org/W2113920645","https://openalex.org/W2114423093","https://openalex.org/W2114487471","https://openalex.org/W2118103795","https://openalex.org/W2124964692","https://openalex.org/W2130184048","https://openalex.org/W2130604180","https://openalex.org/W2142280715","https://openalex.org/W2145568341","https://openalex.org/W2172275395","https://openalex.org/W2242218935","https://openalex.org/W2337998167","https://openalex.org/W2370904306","https://openalex.org/W2508457857","https://openalex.org/W2542870090","https://openalex.org/W2574952845","https://openalex.org/W2593801909","https://openalex.org/W2613155248","https://openalex.org/W2728856928","https://openalex.org/W2738743584","https://openalex.org/W2771305881","https://openalex.org/W2777802649","https://openalex.org/W2782977076","https://openalex.org/W2905472194","https://openalex.org/W2919115771","https://openalex.org/W2946155547","https://openalex.org/W2951579423","https://openalex.org/W2963494934","https://openalex.org/W2964116203","https://openalex.org/W2981551308","https://openalex.org/W2991046771","https://openalex.org/W3006592723","https://openalex.org/W3016402845","https://openalex.org/W3091196700","https://openalex.org/W3103586216","https://openalex.org/W3103883263","https://openalex.org/W3122499440","https://openalex.org/W4241385190","https://openalex.org/W6602211262","https://openalex.org/W6624640001","https://openalex.org/W6677645113","https://openalex.org/W6678856934","https://openalex.org/W6769061999","https://openalex.org/W6776002048"],"related_works":["https://openalex.org/W2167735388","https://openalex.org/W4309224979","https://openalex.org/W4287510235","https://openalex.org/W2904174853","https://openalex.org/W2276478028","https://openalex.org/W2947175736","https://openalex.org/W3156786002","https://openalex.org/W4200110354","https://openalex.org/W2071011575","https://openalex.org/W3012004192"],"abstract_inverted_index":{"Image":[0],"restoration":[1,68,232,287],"remains":[2],"a":[3,20,62,81,96,114,126,171,221],"challenging":[4,71],"task":[5],"in":[6,49,157],"image":[7,53,67,231,242,286,290],"processing.":[8],"Numerous":[9],"methods":[10,60,229,268],"tackle":[11],"this":[12,57,77],"problem,":[13],"which":[14],"is":[15,28,190],"often":[16],"solved":[17],"by":[18],"minimizing":[19],"nonsmooth":[21],"penalized":[22,98],"co-log-likelihood":[23,99],"function.":[24],"Although":[25],"the":[26,46,93,118,139,147,152,158,161,187,191,196,206,227,234,245,254,261,277],"solution":[27],"easily":[29],"interpretable":[30],"with":[31,92,100,129],"theoretic":[32],"guarantees,":[33],"its":[34],"estimation":[35],"relies":[36,199],"on":[37,200,233,244,260,276],"an":[38,101],"optimization":[39],"process":[40],"that":[41,253],"can":[42],"take":[43,107],"time.":[44],"Considering":[45],"research":[47],"effort":[48],"deep":[50,82,127],"learning":[51,178],"for":[52,285],"classification":[54],"and":[55,151,182,212,236,239,247,269,282,288],"segmentation,":[56],"class":[58],"of":[59,95,109,117,138,205],"offers":[61],"serious":[63],"alternative":[64],"to":[65,72,106,135,168,173,219,230,240,265],"perform":[66],"but":[69],"stays":[70],"solve":[73],"inverse":[74],"problems.":[75],"In":[76],"work,":[78],"we":[79],"design":[80],"network,":[83],"named":[84],"DeepPDNet,":[85],"built":[86],"from":[87,170],"primal-dual":[88,120,140],"proximal":[89],"iterations":[90],"associated":[91],"minimization":[94],"standard":[97,201,207],"analysis":[102,153,215],"prior,":[103],"allowing":[104],"us":[105],"advantage":[108],"both":[110,146],"worlds.":[111],"We":[112,225],"reformulate":[113],"specific":[115],"instance":[116],"Condat-V\u0169":[119],"hybrid":[121],"gradient":[122],"(PDHG)":[123],"algorithm":[124,149],"as":[125],"network":[128],"fixed":[130],"layers.":[131],"Each":[132],"layer":[133,172],"corresponds":[134],"one":[136,189,198],"iteration":[137],"algorithm.":[141],"The":[142],"learned":[143],"parameters":[144,165],"are":[145,166,185,217],"PDHG":[148,208],"step-sizes":[150],"linear":[154],"operator":[155],"involved":[156],"penalization":[159],"(including":[160],"regularization":[162],"parameter).":[163],"These":[164],"allowed":[167],"vary":[169],"another":[174],"one.":[175],"Two":[176],"different":[177],"strategies:":[179],"\u201cFull":[180],"learning\u201d":[181,184],"\u201cPartial":[183],"proposed,":[186],"first":[188],"most":[192],"efficient":[193],"numerically":[194],"while":[195],"second":[197],"constraints":[202],"ensuring":[203],"convergence":[204],"iterations.":[209],"Moreover,":[210],"global":[211],"local":[213],"sparse":[214],"prior":[216],"studied":[218],"seek":[220],"better":[222,270],"feature":[223],"representation.":[224],"apply":[226],"proposed":[228,255],"MNIST":[235,262],"BSD68":[237],"datasets":[238,284],"single":[241,289],"super-resolution":[243,291],"BSD100":[246],"SET14":[248,283],"datasets.":[249],"Extensive":[250],"results":[251],"show":[252],"DeepPDNet":[256],"demonstrates":[257],"excellent":[258],"performance":[259,275],"dataset":[263],"compared":[264],"other":[266],"state-of-the-art":[267],"or":[271],"at":[272],"least":[273],"comparable":[274],"more":[278],"complex":[279],"BSD68,":[280],"BSD100,":[281],"task.":[292]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2020-07-10T00:00:00"}