{"id":"https://openalex.org/W4391305329","doi":"https://doi.org/10.1109/lsp.2024.3359569","title":"Constrained Regularization by Denoising With Automatic Parameter Selection","display_name":"Constrained Regularization by Denoising With Automatic Parameter Selection","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4391305329","doi":"https://doi.org/10.1109/lsp.2024.3359569"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2024.3359569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3359569","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://air.unimi.it/bitstream/2434/1026568/2/arxivPreprint.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066591000","display_name":"Pasquale Cascarano","orcid":"https://orcid.org/0000-0002-1475-2751"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pasquale Cascarano","raw_affiliation_strings":["Department of the Arts, University of Bologna, Bologna, Italy"],"raw_orcid":"https://orcid.org/0000-0002-1475-2751","affiliations":[{"raw_affiliation_string":"Department of the Arts, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057650215","display_name":"Alessandro Benfenati","orcid":"https://orcid.org/0000-0002-2985-374X"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Benfenati","raw_affiliation_strings":["Department of Environmental Science and Policy, University of Milan, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2985-374X","affiliations":[{"raw_affiliation_string":"Department of Environmental Science and Policy, University of Milan, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024602237","display_name":"Ulugbek S. Kamilov","orcid":"https://orcid.org/0000-0001-6770-3278"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ulugbek S. Kamilov","raw_affiliation_strings":["Department of Computer Science and Engineering and Department of Electrical and System Engineering, Washington University in St. Louis, St. Louis, MO, USA"],"raw_orcid":"https://orcid.org/0000-0001-6770-3278","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering and Department of Electrical and System Engineering, Washington University in St. Louis, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101423444","display_name":"Xiaojian Xu","orcid":"https://orcid.org/0000-0002-5264-8963"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaojian Xu","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-5264-8963","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4466,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89485232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"31","issue":null,"first_page":"556","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.868399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.868399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.866599977016449,"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":0.7408707141876221},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6216862201690674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5212883949279785},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.515491783618927},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.47627943754196167},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4724484086036682},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45721104741096497},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4231812357902527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4215439260005951},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3980092406272888},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.370330810546875}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7408707141876221},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6216862201690674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5212883949279785},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.515491783618927},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.47627943754196167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4724484086036682},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45721104741096497},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4231812357902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4215439260005951},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3980092406272888},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.370330810546875}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2024.3359569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3359569","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:air.unimi.it:2434/1026568","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1026568","pdf_url":"https://air.unimi.it/bitstream/2434/1026568/2/arxivPreprint.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/962903","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/962903","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/1026568","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1026568","pdf_url":"https://air.unimi.it/bitstream/2434/1026568/2/arxivPreprint.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G1585674959","display_name":null,"funder_award_id":"1551.11-10-2022","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1715976325","display_name":"CAREER: Reconciling Model-Based and Learning-Based Imaging: Theory, Algorithms, and Applications","funder_award_id":"2043134","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4154697042","display_name":null,"funder_award_id":"PE00000004","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4197546210","display_name":null,"funder_award_id":"CCF-2043134","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391305329.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W115321477","https://openalex.org/W269003556","https://openalex.org/W1981303749","https://openalex.org/W2036695884","https://openalex.org/W2047920195","https://openalex.org/W2067098972","https://openalex.org/W2087416986","https://openalex.org/W2562631025","https://openalex.org/W2573726823","https://openalex.org/W2613155248","https://openalex.org/W2765431787","https://openalex.org/W2805167149","https://openalex.org/W2889700716","https://openalex.org/W2889923760","https://openalex.org/W2962840844","https://openalex.org/W2962853966","https://openalex.org/W3024822880","https://openalex.org/W3027000927","https://openalex.org/W3101311698","https://openalex.org/W3136736661","https://openalex.org/W3138599277","https://openalex.org/W3178286546","https://openalex.org/W3180330028","https://openalex.org/W3200625292","https://openalex.org/W4293147487","https://openalex.org/W4313526215"],"related_works":["https://openalex.org/W2895947835","https://openalex.org/W4287876945","https://openalex.org/W2087258800","https://openalex.org/W2810018092","https://openalex.org/W3209466624","https://openalex.org/W2387428419","https://openalex.org/W1581044291","https://openalex.org/W2098237619","https://openalex.org/W1974034585","https://openalex.org/W2386722878"],"abstract_inverted_index":{"Regularization":[0,53],"by":[1,13,49,54,88],"Denoising":[2,55],"(RED)":[3],"is":[4,86],"a":[5,62],"well-known":[6],"method":[7,57,92,97],"for":[8,40],"solving":[9],"image":[10,16,124],"restoration":[11],"problems":[12],"using":[14],"learned":[15],"denoisers":[17],"as":[18,61],"priors.":[19],"Since":[20],"the":[21,25,51,67,73,78,83,107],"regularization":[22,68],"parameter":[23,42,69],"in":[24,77,110,121],"traditional":[26],"RED":[27,60],"does":[28,35],"not":[29,36],"have":[30],"any":[31],"physical":[32],"interpretation,":[33],"it":[34],"provide":[37],"an":[38,90],"approach":[39],"automatic":[41],"selection.":[43],"This":[44],"letter":[45],"addresses":[46],"this":[47],"issue":[48],"introducing":[50],"Constrained":[52],"(CRED)":[56],"that":[58,104],"reformulates":[59],"constrained":[63,84],"optimization":[64],"problem":[65,85],"where":[66],"corresponds":[70],"directly":[71],"to":[72,82],"amount":[74],"of":[75,98,112,123],"noise":[76],"measurements.":[79],"The":[80],"solution":[81],"solved":[87],"designing":[89],"efficient":[91],"based":[93],"on":[94],"alternating":[95],"direction":[96],"multipliers":[99],"(ADMM).":[100],"Our":[101],"experiments":[102],"show":[103],"CRED":[105],"outperforms":[106],"competing":[108],"methods":[109],"terms":[111,122],"stability":[113],"and":[114],"robustness,":[115],"while":[116],"also":[117],"achieving":[118],"competitive":[119],"performances":[120],"quality.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2025-10-10T00:00:00"}