{"id":"https://openalex.org/W2145568341","doi":"https://doi.org/10.1109/tip.2008.2001404","title":"Monte-Carlo Sure: A Black-Box Optimization of Regularization Parameters for General Denoising Algorithms","display_name":"Monte-Carlo Sure: A Black-Box Optimization of Regularization Parameters for General Denoising Algorithms","publication_year":2008,"publication_date":"2008-08-14","ids":{"openalex":"https://openalex.org/W2145568341","doi":"https://doi.org/10.1109/tip.2008.2001404","mag":"2145568341","pmid":"https://pubmed.ncbi.nlm.nih.gov/18701393"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2008.2001404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2001404","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/130360","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108524187","display_name":"S. Ramani","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":true,"raw_author_name":"S. Ramani","raw_affiliation_strings":["Biomedical Imaging Group, Ecole polytechnique f\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland. sathish.ramani@epfl.ch","Ecole Polytech. Federate de Lausanne, Lausanne"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, Ecole polytechnique f\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland. sathish.ramani@epfl.ch","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytech. Federate de Lausanne, Lausanne","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111724730","display_name":"Thierry Blu","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Blu","raw_affiliation_strings":["Department of Electronic Engineering, Chinese University of Hong Kong, New Territories, Hong Kong, China","Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Chinese University of Hong Kong, New Territories, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027830035","display_name":"Micha\u00ebl Unser","orcid":"https://orcid.org/0000-0003-1248-2513"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"M. Unser","raw_affiliation_strings":["Biomedical Imaging Group (BIG), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Ecole Polytech. Federate de Lausanne, Lausanne"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group (BIG), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytech. Federate de Lausanne, Lausanne","institution_ids":["https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108524187"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":13.4875,"has_fulltext":false,"cited_by_count":390,"citation_normalized_percentile":{"value":0.9908009,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"17","issue":"9","first_page":"1540","last_page":"1554"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9984999895095825,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/noise-reduction","display_name":"Noise reduction","score":0.7398501634597778},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6664893627166748},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.5722400546073914},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5423368811607361},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4542038142681122},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.43771788477897644},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43307721614837646},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.43255913257598877},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4105427861213684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3948121666908264},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33885931968688965},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3299824595451355},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1274639368057251},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1185535192489624}],"concepts":[{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.7398501634597778},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6664893627166748},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.5722400546073914},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5423368811607361},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4542038142681122},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.43771788477897644},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43307721614837646},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.43255913257598877},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4105427861213684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3948121666908264},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33885931968688965},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3299824595451355},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1274639368057251},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1185535192489624}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1109/tip.2008.2001404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2001404","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:18701393","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18701393","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.167.2716","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.167.2716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.cuhk.edu.hk/%7Etblu/monsite/pdfs/ramani0803.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:130360","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130360","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:130360","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130360","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W118540534","https://openalex.org/W1594494252","https://openalex.org/W1610060839","https://openalex.org/W1631469952","https://openalex.org/W1648254108","https://openalex.org/W1968735445","https://openalex.org/W1990381576","https://openalex.org/W1990457366","https://openalex.org/W1992720634","https://openalex.org/W1996726072","https://openalex.org/W2007203285","https://openalex.org/W2020812925","https://openalex.org/W2021537669","https://openalex.org/W2022905067","https://openalex.org/W2031604650","https://openalex.org/W2033914841","https://openalex.org/W2035136970","https://openalex.org/W2038818581","https://openalex.org/W2040325046","https://openalex.org/W2042880641","https://openalex.org/W2046130948","https://openalex.org/W2054640142","https://openalex.org/W2079356438","https://openalex.org/W2079724595","https://openalex.org/W2085765819","https://openalex.org/W2086546551","https://openalex.org/W2093502664","https://openalex.org/W2094243598","https://openalex.org/W2099798039","https://openalex.org/W2103559027","https://openalex.org/W2108797761","https://openalex.org/W2113945798","https://openalex.org/W2114424556","https://openalex.org/W2116641053","https://openalex.org/W2125542221","https://openalex.org/W2126759246","https://openalex.org/W2130152237","https://openalex.org/W2135209903","https://openalex.org/W2139738865","https://openalex.org/W2140170995","https://openalex.org/W2140742952","https://openalex.org/W2144451417","https://openalex.org/W2146766088","https://openalex.org/W2147690544","https://openalex.org/W2149414429","https://openalex.org/W2152047336","https://openalex.org/W2154688547","https://openalex.org/W2158252006","https://openalex.org/W2159356186","https://openalex.org/W2163887005","https://openalex.org/W2259472751","https://openalex.org/W2619339134","https://openalex.org/W2971002144","https://openalex.org/W3000332379","https://openalex.org/W4244155866","https://openalex.org/W4251564091","https://openalex.org/W4255521522","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2588406281","https://openalex.org/W4213275102","https://openalex.org/W2495078643","https://openalex.org/W2344001031","https://openalex.org/W3010678772","https://openalex.org/W3209466624","https://openalex.org/W1605636162","https://openalex.org/W2053223715","https://openalex.org/W2612397051","https://openalex.org/W1490451209"],"abstract_inverted_index":{"We":[0,131,170,190],"consider":[1],"the":[2,6,41,48,57,69,94,97,118,160,165,177,182,187,196,200],"problem":[3],"of":[4,8,15,39,96,120,124,128,142,145,167,199],"optimizing":[5],"parameters":[7,201],"a":[9,16,37,63,88,125,143],"given":[10],"denoising":[11,77,98,129],"algorithm":[12,78],"for":[13,53,74,108,122,139,185],"restoration":[14],"signal":[17],"corrupted":[18],"by":[19,80,135],"white":[20],"Gaussian":[21],"noise.":[22],"To":[23],"achieve":[24],"this,":[25],"we":[26,61,162],"propose":[27],"to":[28,71,100],"minimize":[29],"Stein's":[30],"unbiased":[31],"risk":[32],"estimate":[33],"(SURE)":[34],"which":[35,67,91],"provides":[36],"means":[38],"assessing":[40],"true":[42,183],"mean-squared":[43],"error":[44],"(MSE)":[45],"purely":[46],"from":[47],"measured":[49],"data":[50],"without":[51],"need":[52],"any":[54,109],"knowledge":[55],"about":[56,111],"noise-free":[58],"signal.":[59],"Specifically,":[60],"present":[62],"novel":[64],"Monte-Carlo":[65],"technique":[66],"enables":[68],"user":[70],"calculate":[72],"SURE":[73,121,174,194],"an":[75],"arbitrary":[76],"characterized":[79],"some":[81],"specific":[82],"parameter":[83],"setting.":[84],"Our":[85],"method":[86],"is":[87],"black-box":[89],"approach":[90,179],"solely":[92],"uses":[93],"response":[95],"operator":[99],"additional":[101],"input":[102],"noise":[103],"and":[104,155],"does":[105],"not":[106],"ask":[107],"information":[110],"its":[112],"functional":[113],"form.":[114],"This,":[115],"therefore,":[116],"permits":[117],"use":[119],"optimization":[123,141],"wide":[126],"variety":[127],"algorithms.":[130,189],"justify":[132],"our":[133],"claims":[134],"presenting":[136],"experimental":[137],"results":[138],"SURE-based":[140],"series":[144],"popular":[146],"image-denoising":[147],"algorithms":[148],"such":[149],"as":[150],"total-variation":[151],"denoising,":[152],"wavelet":[153],"soft-thresholding,":[154],"Wiener":[156],"filtering/smoothing":[157],"splines.":[158],"In":[159],"process,":[161],"also":[163,191],"compare":[164],"performance":[166],"these":[168],"methods.":[169],"demonstrate":[171],"numerically":[172],"that":[173,193],"computed":[175],"using":[176],"new":[178],"accurately":[180],"predicts":[181],"MSE":[184],"all":[186,203],"considered":[188],"show":[192],"uncovers":[195],"optimal":[197],"values":[198],"in":[202],"cases.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":39},{"year":2020,"cited_by_count":38},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":20},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":28},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":21},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":19}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}