{"id":"https://openalex.org/W2961618942","doi":null,"title":"Generalized Rank Minimization based Group Sparse Coding for Low-level Image Restoration via Dictionary Learning","display_name":"Generalized Rank Minimization based Group Sparse Coding for Low-level Image Restoration via Dictionary Learning","publication_year":2019,"publication_date":"2019-07-10","ids":{"openalex":"https://openalex.org/W2961618942","mag":"2961618942"},"language":"en","primary_location":{"id":"mag:2961618942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.04699","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051859413","display_name":"Yunyi Li","orcid":"https://orcid.org/0000-0001-9058-5767","observed_orcids":["https://orcid.org/0000-0001-9058-5767"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yunyi Li","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9058-5767","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027367677","display_name":"Guan Gui","orcid":"https://orcid.org/0000-0003-3888-2881","observed_orcids":["https://orcid.org/0000-0003-3888-2881","https://orcid.org/0000-0001-7428-4980"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guan Gui","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3888-2881","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021548510","display_name":"Xiefeng Cheng","orcid":"https://orcid.org/0000-0001-5671-6786","observed_orcids":["https://orcid.org/0000-0001-5671-6786"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiefeng Cheng","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5671-6786","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9731000065803528,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9731000065803528,"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":0.026000000536441803,"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/T11105","display_name":"Advanced Image Processing Techniques","score":9.999999747378752e-05,"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/dictionary-learning","display_name":"dictionary learning","score":0.8730000257492065},{"id":"https://openalex.org/keywords/low-rank-matrix-recovery","display_name":"low-rank matrix recovery","score":0.8009999990463257},{"id":"https://openalex.org/keywords/singular-value-thresholding","display_name":"singular value thresholding","score":0.722000002861023},{"id":"https://openalex.org/keywords/image-inpainting","display_name":"image inpainting","score":0.7559999823570251},{"id":"https://openalex.org/keywords/image-deblurring","display_name":"image deblurring","score":0.9129999876022339},{"id":"https://openalex.org/keywords/impulse-noise-removal","display_name":"impulse noise removal","score":0.9900000095367432}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.7558718323707581},{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.7522794008255005},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.74932461977005},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.6921616196632385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48984500765800476},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4805065393447876},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.47342589497566223},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.419040709733963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39047130942344666},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3801563084125519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37071406841278076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3686385154724121},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.28614741563796997},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2961618942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2961618942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W195665135","https://openalex.org/W1560941629","https://openalex.org/W1562968274","https://openalex.org/W1860736741","https://openalex.org/W1943431218","https://openalex.org/W1965125844","https://openalex.org/W1969698720","https://openalex.org/W1972499291","https://openalex.org/W1978333359","https://openalex.org/W1978749115","https://openalex.org/W1980500788","https://openalex.org/W2029411311","https://openalex.org/W2042984553","https://openalex.org/W2048695508","https://openalex.org/W2049819383","https://openalex.org/W2056201402","https://openalex.org/W2073437729","https://openalex.org/W2074682976","https://openalex.org/W2075547019","https://openalex.org/W2084597456","https://openalex.org/W2095106682","https://openalex.org/W2098900561","https://openalex.org/W2114122776","https://openalex.org/W2140433132","https://openalex.org/W2141983208","https://openalex.org/W2148358298","https://openalex.org/W2150427434","https://openalex.org/W2159092888","https://openalex.org/W2184334976","https://openalex.org/W2207282238","https://openalex.org/W2296616510","https://openalex.org/W2346305596","https://openalex.org/W2408480187","https://openalex.org/W2548019060","https://openalex.org/W2585690249","https://openalex.org/W2613155248","https://openalex.org/W2623734663","https://openalex.org/W2750681454","https://openalex.org/W2775563380","https://openalex.org/W2884144629","https://openalex.org/W2909095597","https://openalex.org/W2921396149","https://openalex.org/W2929137829","https://openalex.org/W2963000668","https://openalex.org/W2963218026","https://openalex.org/W2963689682","https://openalex.org/W2972886717","https://openalex.org/W3012209675","https://openalex.org/W3013398873"],"related_works":["https://openalex.org/W3035358272","https://openalex.org/W3161747711","https://openalex.org/W3035514855","https://openalex.org/W4284880509","https://openalex.org/W4388599147","https://openalex.org/W2045737896","https://openalex.org/W3202080121","https://openalex.org/W4233986959","https://openalex.org/W2641816967","https://openalex.org/W2995679912"],"abstract_inverted_index":{"Recently,":[0],"low-rank":[1,35],"matrix":[2],"recovery":[3],"theory":[4,23],"has":[5,24],"been":[6],"emerging":[7],"as":[8],"a":[9,42,62,74,80],"significant":[10],"progress":[11],"for":[12,50],"various":[13],"image":[14,30,51,120,140,160],"processing":[15],"problems.":[16],"Meanwhile,":[17],"the":[18,67,87,108,159],"group":[19,33,70],"sparse":[20],"coding":[21],"(GSC)":[22],"led":[25],"to":[26,106,119],"great":[27],"successes":[28],"in":[29],"restoration":[31,52,121,161],"with":[32,79,164],"contains":[34],"property.":[36],"In":[37],"this":[38],"paper,":[39],"we":[40,72],"introduce":[41],"novel":[43],"GSC":[44,155],"framework":[45,156],"using":[46],"generalized":[47,75,81,88,96],"rank":[48,68,76],"minimization":[49,77,110],"tasks":[53],"via":[54,124],"an":[55,94,125],"effective":[56],"adaptive":[57],"dictionary":[58],"learning":[59],"scheme.":[60],"For":[61],"more":[63],"accurate":[64],"approximation":[65],"of":[66,69,112,129,139],"matrix,":[71],"proposed":[73,105,115,154],"model":[78,116],"and":[82,86,147],"flexible":[83],"weighted":[84],"scheme":[85],"nonconvex":[89],"nonsmooth":[90],"relaxation":[91],"function.":[92],"Then":[93],"efficient":[95],"iteratively":[97],"reweighted":[98],"singular-value":[99],"function":[100],"thresholding":[101],"(GIR-SFT)":[102],"algorithm":[103],"is":[104,117],"handle":[107],"resulting":[109],"problem":[111],"GSC.":[113],"Our":[114],"connected":[118],"(IR)":[122],"problems":[123,138],"alternating":[126],"direction":[127],"method":[128],"multipliers":[130],"(ADMM)":[131],"strategy.":[132],"Extensive":[133],"experiments":[134],"on":[135],"typical":[136],"IR":[137],"compressive":[141],"sensing":[142],"(CS)":[143],"reconstruction,":[144],"inpainting,":[145],"deblurring":[146],"impulsive":[148],"noise":[149],"removal":[150],"demonstrate":[151],"that":[152],"our":[153],"can":[157],"enhance":[158],"quality":[162],"compared":[163],"many":[165],"state-of-the-art":[166],"methods.":[167]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2019-07-23T00:00:00"}