{"id":"https://openalex.org/W1965102920","doi":"https://doi.org/10.1137/100790902","title":"A Bias-Variance Approach for the Nonlocal Means","display_name":"A Bias-Variance Approach for the Nonlocal Means","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1965102920","doi":"https://doi.org/10.1137/100790902","mag":"1965102920"},"language":"en","primary_location":{"id":"doi:10.1137/100790902","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100790902","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025334897","display_name":"Vincent Duval","orcid":"https://orcid.org/0000-0002-7709-256X"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Vincent Duval","raw_affiliation_strings":["vincent.duval@telecom-paristech.fr and yann.gousseau@telecom-paristech.fr#TAB#"],"affiliations":[{"raw_affiliation_string":"vincent.duval@telecom-paristech.fr and yann.gousseau@telecom-paristech.fr#TAB#","institution_ids":["https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055550697","display_name":"Jean\u2013Fran\u00e7ois Aujol","orcid":"https://orcid.org/0000-0001-6716-0509"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Aujol","raw_affiliation_strings":["Jean-Francois.Aujol@math.u-bordeaux1.fr#TAB#"],"affiliations":[{"raw_affiliation_string":"Jean-Francois.Aujol@math.u-bordeaux1.fr#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081945174","display_name":"Yann Gousseau","orcid":"https://orcid.org/0000-0001-5249-0847"},"institutions":[{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yann Gousseau","raw_affiliation_strings":["Laboratoire Traitement et Communication de l'Information"],"affiliations":[{"raw_affiliation_string":"Laboratoire Traitement et Communication de l'Information","institution_ids":["https://openalex.org/I4210165912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025334897"],"corresponding_institution_ids":["https://openalex.org/I12356871"],"apc_list":null,"apc_paid":null,"fwci":7.5861,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.97833079,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"4","issue":"2","first_page":"760","last_page":"788"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"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":0.9977999925613403,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.7715033888816833},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7327653169631958},{"id":"https://openalex.org/keywords/unbiased-estimation","display_name":"Unbiased Estimation","score":0.6432629823684692},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5996071696281433},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5560429096221924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4834628701210022},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4543655216693878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4382779896259308},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.43159565329551697},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41480207443237305},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3066042959690094},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09572187066078186},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.06959071755409241}],"concepts":[{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.7715033888816833},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7327653169631958},{"id":"https://openalex.org/C2909318450","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Unbiased Estimation","level":3,"score":0.6432629823684692},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5996071696281433},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5560429096221924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4834628701210022},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4543655216693878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4382779896259308},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.43159565329551697},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41480207443237305},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3066042959690094},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09572187066078186},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.06959071755409241},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/100790902","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100790902","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00947885v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00947885","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2011, 4 (2), pp.760-788","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/114812","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/114812","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"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":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/189410","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/189410","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"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":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1506777192","https://openalex.org/W1511118377","https://openalex.org/W1592619662","https://openalex.org/W1963766113","https://openalex.org/W1967277558","https://openalex.org/W1974420411","https://openalex.org/W2009265594","https://openalex.org/W2009532511","https://openalex.org/W2019248995","https://openalex.org/W2038649727","https://openalex.org/W2054640142","https://openalex.org/W2055784463","https://openalex.org/W2056370875","https://openalex.org/W2060945009","https://openalex.org/W2079724595","https://openalex.org/W2085692415","https://openalex.org/W2105516453","https://openalex.org/W2108199630","https://openalex.org/W2113824004","https://openalex.org/W2116013899","https://openalex.org/W2117138927","https://openalex.org/W2117214938","https://openalex.org/W2118071128","https://openalex.org/W2120466359","https://openalex.org/W2128337620","https://openalex.org/W2130754596","https://openalex.org/W2133665775","https://openalex.org/W2136396015","https://openalex.org/W2140383972","https://openalex.org/W2140742952","https://openalex.org/W2143131425","https://openalex.org/W2144851790","https://openalex.org/W2145568341","https://openalex.org/W2161037052","https://openalex.org/W2162053094","https://openalex.org/W2163168659","https://openalex.org/W2166879250","https://openalex.org/W2317084172","https://openalex.org/W2536599074","https://openalex.org/W2612479531","https://openalex.org/W2732771853","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W1602604662","https://openalex.org/W1965150072","https://openalex.org/W2356054774"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
