{"id":"https://openalex.org/W2294801019","doi":"https://doi.org/10.1109/icip.2015.7350960","title":"Extending &amp;#x03B1;-expansion to a larger set of regularization functions","display_name":"Extending &amp;#x03B1;-expansion to a larger set of regularization functions","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2294801019","doi":"https://doi.org/10.1109/icip.2015.7350960","mag":"2294801019"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2015.7350960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2015.7350960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-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/A5016888093","display_name":"Mathias Paget","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mathias Paget","raw_affiliation_strings":["Lepsis/Cosys, IFSTTAR, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lepsis/Cosys, IFSTTAR, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088990759","display_name":"Jean\u2010Philippe Tarel","orcid":"https://orcid.org/0000-0002-9241-5347"},"institutions":[{"id":"https://openalex.org/I1327553481","display_name":"Institut national de l\u2019information g\u00e9ographique et foresti\u00e8re","ror":"https://ror.org/05jxfge78","country_code":"FR","type":"government","lineage":["https://openalex.org/I1327553481"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Philippe Tarel","raw_affiliation_strings":["Matis, IGN, Saint-Mand\u00e9, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matis, IGN, Saint-Mand\u00e9, France","institution_ids":["https://openalex.org/I1327553481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014947118","display_name":"Laurent Caraffa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent Caraffa","raw_affiliation_strings":["Lepsis/Cosys, IFSTTAR, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lepsis/Cosys, IFSTTAR, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1382927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1051","last_page":"1055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9972000122070312,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9955999851226807,"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":0.7403779029846191},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.550747275352478},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.504046618938446},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5031093955039978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4962828755378723},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4926472306251526},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.4808298349380493},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47599709033966064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4465397298336029},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4451785385608673},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.43264174461364746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37154093384742737},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2447950541973114},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.0930536687374115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09090855717658997}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7403779029846191},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.550747275352478},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.504046618938446},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5031093955039978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4962828755378723},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4926472306251526},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.4808298349380493},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47599709033966064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4465397298336029},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4451785385608673},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.43264174461364746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37154093384742737},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2447950541973114},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0930536687374115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09090855717658997},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2015.7350960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2015.7350960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W184633606","https://openalex.org/W1563007904","https://openalex.org/W2034588920","https://openalex.org/W2074078071","https://openalex.org/W2101309634","https://openalex.org/W2140502500","https://openalex.org/W2143516773","https://openalex.org/W6607450885"],"related_works":["https://openalex.org/W1829060647","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W2077506191","https://openalex.org/W2387685679","https://openalex.org/W2050855072","https://openalex.org/W4298004047","https://openalex.org/W3134728064","https://openalex.org/W2374214022","https://openalex.org/W2347781941"],"abstract_inverted_index":{"Many":[0],"problems":[1],"of":[2,9,16,35,40,76,109,164,174,185],"image":[3,178,192],"processing":[4,179],"lead":[5],"to":[6,24,113,159,168],"the":[7,46,53,62,70,83,90,106,110,123,146,150,183,186,191],"minimization":[8],"an":[10,114,137],"energy,":[11],"which":[12,116,140],"is":[13,33,50,100,117],"a":[14,25,51,74,86,119,160],"function":[15],"one":[17],"or":[18,27],"several":[19],"given":[20],"images,":[21],"with":[22],"respect":[23],"binary":[26,77],"multi-label":[28,54,71],"image.":[29],"When":[30],"this":[31],"energy":[32,55,115,147],"made":[34],"unary":[36],"data":[37],"terms":[38],"and":[39,44],"pairwise":[41,47],"regularization":[42,48,91,165],"terms,":[43],"when":[45],"term":[49,92],"metric,":[52],"can":[56,141],"be":[57,142],"minimized":[58],"quite":[59],"rapidly,":[60],"using":[61],"so-called":[63],"\u03b1-expansion":[64,66,98,151],"algorithm.":[65],"consists":[67],"in":[68],"decomposing":[69],"optimization":[72,188],"into":[73],"series":[75],"sub-problems":[78],"called":[79],"move.":[80,133],"Depending":[81],"on":[82,89,122,176,190],"chosen":[84],"decomposition,":[85],"different":[87],"condition":[88,96,130],"applies.":[93],"The":[94,155],"metric":[95],"for":[97,131],"move":[99],"rather":[101],"restrictive.":[102],"In":[103],"many":[104,172],"cases,":[105],"statistical":[107],"model":[108],"problem":[111],"leads":[112],"not":[118],"metric.":[120],"Based":[121],"enlightening":[124],"article":[125],"[1],":[126],"we":[127,135],"derive":[128],"another":[129],"\u03b2-jump":[132,153],"Finally,":[134],"propose":[136],"alternated":[138],"scheme":[139,157,189],"used":[143],"even":[144],"if":[145],"fulfills":[148],"neither":[149],"nor":[152],"condition.":[154],"proposed":[156,187],"applies":[158],"much":[161],"larger":[162],"class":[163],"functions,":[166],"compared":[167],"\u03b1-expansion.":[169],"This":[170],"opens":[171],"possibilities":[173],"improvements":[175],"diverse":[177],"problems.":[180],"We":[181],"illustrate":[182],"advantages":[184],"noise":[193],"reduction":[194],"problem.":[195]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
