{"id":"https://openalex.org/W2730550322","doi":"https://doi.org/10.1137/17m1135694","title":"High-Dimensional Mixture Models for Unsupervised Image Denoising (HDMI)","display_name":"High-Dimensional Mixture Models for Unsupervised Image Denoising (HDMI)","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2730550322","doi":"https://doi.org/10.1137/17m1135694","mag":"2730550322"},"language":"en","primary_location":{"id":"doi:10.1137/17m1135694","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1135694","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":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-01544249","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071693654","display_name":"Antoine Houdard","orcid":null},"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"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement math\u00e9matiques, informatique, sciences de la donn\u00e9e et technologies du num\u00e9rique","ror":"https://ror.org/011emb038","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"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"]},{"id":"https://openalex.org/I4387154995","display_name":"Math\u00e9matiques Appliqu\u00e9es \u00e0 Paris 5","ror":"https://ror.org/04yrrdj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4387154995"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Houdard","raw_affiliation_strings":["MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)","LTCI - Laboratoire Traitement et Communication de l'Information (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210102957","https://openalex.org/I4387154995"]},{"raw_affiliation_string":"LTCI - Laboratoire Traitement et Communication de l'Information (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU - France)","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051332724","display_name":"Charles Bouveyron","orcid":"https://orcid.org/0000-0002-6956-4491"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement math\u00e9matiques, informatique, sciences de la donn\u00e9e et technologies du num\u00e9rique","ror":"https://ror.org/011emb038","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"id":"https://openalex.org/I4387154995","display_name":"Math\u00e9matiques Appliqu\u00e9es \u00e0 Paris 5","ror":"https://ror.org/04yrrdj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4387154995"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Bouveyron","raw_affiliation_strings":["MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210102957","https://openalex.org/I4387154995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019518434","display_name":"Julie Delon","orcid":"https://orcid.org/0000-0002-7182-7537"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement math\u00e9matiques, informatique, sciences de la donn\u00e9e et technologies du num\u00e9rique","ror":"https://ror.org/011emb038","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"id":"https://openalex.org/I4387154995","display_name":"Math\u00e9matiques Appliqu\u00e9es \u00e0 Paris 5","ror":"https://ror.org/04yrrdj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4387154995"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julie Delon","raw_affiliation_strings":["MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAP5 - UMR 8145 - Math\u00e9matiques Appliqu\u00e9es Paris 5 (UFR Math\u00e9matiques et Informatique, \r\n45 rue des Saints-P\u00e8res \r\n75270 PARIS CEDEX 06 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210102957","https://openalex.org/I4387154995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1213,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.93978146,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"11","issue":"4","first_page":"2815","last_page":"2846"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"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":0.9994999766349792,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9735000133514404,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9731000065803528,"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/noise-reduction","display_name":"Noise reduction","score":0.6580607295036316},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6002325415611267},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5628758668899536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5499885678291321},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5496628284454346},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5148336291313171},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46557849645614624},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.4632483720779419},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.447925329208374},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4185720384120941},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.41824808716773987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3913094103336334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33561408519744873}],"concepts":[{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6580607295036316},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6002325415611267},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5628758668899536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5499885678291321},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5496628284454346},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5148336291313171},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46557849645614624},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.4632483720779419},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.447925329208374},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4185720384120941},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.41824808716773987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3913094103336334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33561408519744873},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1135694","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1135694","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-01544249v2","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01544249","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":"https://hal.archives-ouvertes.fr/hal-01544249","raw_type":"\\ninfo:eu-repo/semantics/preprint\\n"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01544249v2","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01544249","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":"https://hal.archives-ouvertes.fr/hal-01544249","raw_type":"\\ninfo:eu-repo/semantics/preprint\\n"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7320182272","display_name":"Fondation Sciences Math\u00e9matiques de Paris","funder_award_id":"ANR-10-LABX-0098","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1967577110","https://openalex.org/W1968367053","https://openalex.org/W1993120651","https://openalex.org/W2011832962","https://openalex.org/W2021137021","https://openalex.org/W2025520295","https://openalex.org/W2026019078","https://openalex.org/W2039487641","https://openalex.org/W2053742104","https://openalex.org/W2056370875","https://openalex.org/W2058005980","https://openalex.org/W2068902206","https://openalex.org/W2069237980","https://openalex.org/W2091501226","https://openalex.org/W2095373758","https://openalex.org/W2105038642","https://openalex.org/W2108382860","https://openalex.org/W2109320267","https://openalex.org/W2116013899","https://openalex.org/W2116857329","https://openalex.org/W2127457591","https://openalex.org/W2136396015","https://openalex.org/W2144851790","https://openalex.org/W2146610201","https://openalex.org/W2157803030","https://openalex.org/W2164490837","https://openalex.org/W2166879250","https://openalex.org/W2168175751","https://openalex.org/W2180151937","https://openalex.org/W2295281957","https://openalex.org/W2505029951","https://openalex.org/W2615644062","https://openalex.org/W2764207251","https://openalex.org/W3099794995","https://openalex.org/W3106221724","https://openalex.org/W4236965008","https://openalex.org/W4293235520"],"related_works":["https://openalex.org/W2391321755","https://openalex.org/W2949110394","https://openalex.org/W2002739602","https://openalex.org/W1968042686","https://openalex.org/W2897881820","https://openalex.org/W2345647014","https://openalex.org/W2201192772","https://openalex.org/W2161960196","https://openalex.org/W3136891595","https://openalex.org/W1964819397"],"abstract_inverted_index":{"This":[0,76,134],"work":[1],"addresses":[2],"the":[3,10,20,32,40,45,51,55,57,67,90,94,122,126,129,132,145],"problem":[4],"of":[5,13,31,54,73,89,93,103,125,131],"patch-based":[6],"image":[7,95],"denoising":[8,137],"through":[9],"unsupervised":[11],"learning":[12],"a":[14,28,61,85,105,136],"probabilistic":[15],"high-dimensional":[16],"mixture":[17],"model":[18,59,106,113],"on":[19,112],"noisy":[21,41],"patches.":[22,42],"The":[23,101],"model,":[24],"called":[25],"HDMI,":[26],"proposes":[27],"full":[29],"modeling":[30,63,78],"process":[33],"that":[34,66,139],"is":[35,97,148,151],"supposed":[36],"to":[37,50,83,110,119],"have":[38],"generated":[39],"To":[43],"overcome":[44],"potential":[46],"estimation":[47],"problems":[48],"due":[49],"high":[52],"dimension":[53],"patches,":[56],"HDMI":[58],"adopts":[60],"parsimonious":[62,77],"which":[64,96],"assumes":[65],"data":[68],"live":[69],"in":[70,81],"group-specific":[71],"subspaces":[72,127],"low":[74],"dimensionalities.":[75],"allows":[79],"us":[80,109],"turn":[82],"get":[84],"numerically":[86],"stable":[87],"computation":[88],"conditional":[91],"expectation":[92],"applied":[98],"for":[99],"denoising.":[100],"use":[102],"such":[104,116],"also":[107],"permits":[108],"rely":[111],"selection":[114],"tools,":[115],"as":[117],"BIC,":[118],"automatically":[120],"determine":[121],"intrinsic":[123],"dimensions":[124],"and":[128,150],"variance":[130],"noise.":[133],"yields":[135],"algorithm":[138],"can":[140],"be":[141],"used":[142],"both":[143],"when":[144],"noise":[146],"level":[147],"known":[149],"unknown.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}
