{"id":"https://openalex.org/W3091377733","doi":"https://doi.org/10.1109/icip40778.2020.9191185","title":"Aim-Net: Bring Implicit Euler to Network Design","display_name":"Aim-Net: Bring Implicit Euler to Network Design","publication_year":2020,"publication_date":"2020-09-30","ids":{"openalex":"https://openalex.org/W3091377733","doi":"https://doi.org/10.1109/icip40778.2020.9191185","mag":"3091377733"},"language":"en","primary_location":{"id":"doi:10.1109/icip40778.2020.9191185","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip40778.2020.9191185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 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/A5038944834","display_name":"Qiongwen Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210121573","display_name":"Wuchang University of Technology","ror":"https://ror.org/02mqsna37","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210121573"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiongwen Yuan","raw_affiliation_strings":["School of Electronic and Information, Wuhan University, Wuhan, China","Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)","institution_ids":["https://openalex.org/I4210121573","https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101059361","display_name":"Jingwei He","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210121573","display_name":"Wuchang University of Technology","ror":"https://ror.org/02mqsna37","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210121573"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingwei He","raw_affiliation_strings":["School of Electronic and Information, Wuhan University, Wuhan, China","Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)","institution_ids":["https://openalex.org/I4210121573","https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085388590","display_name":"Lei Yu","orcid":"https://orcid.org/0000-0002-9254-7585"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210121573","display_name":"Wuchang University of Technology","ror":"https://ror.org/02mqsna37","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210121573"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Yu","raw_affiliation_strings":["School of Electronic and Information, Wuhan University, Wuhan, China","Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Wuhan University [China] (Wuchang, Wuhan, Hubei, China, 430072 - China)","institution_ids":["https://openalex.org/I4210121573","https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108725281","display_name":"Gang Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gang Zheng","raw_affiliation_strings":["Non-A, INRIA Lille, Lille, France","DEFROST  - Deformable Robots Simulation Team (France)","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Non-A, INRIA Lille, Lille, France","institution_ids":["https://openalex.org/I4210138412","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"DEFROST  - Deformable Robots Simulation Team (France)","institution_ids":[]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I4210115519","https://openalex.org/I2279609970"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10817475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1926","last_page":"1930"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983000159263611,"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":0.9983000159263611,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7687684297561646},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.7641499042510986},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6969326734542847},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.6288248300552368},{"id":"https://openalex.org/keywords/explicit-and-implicit-methods","display_name":"Explicit and implicit methods","score":0.6223905086517334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6190800070762634},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.5997605919837952},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5711086988449097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5643869042396545},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.48802486062049866},{"id":"https://openalex.org/keywords/semi-implicit-euler-method","display_name":"Semi-implicit Euler method","score":0.455354243516922},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42344290018081665},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.38745424151420593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37663543224334717},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.26211464405059814},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.238307386636734},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10887467861175537},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10107016563415527}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7687684297561646},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.7641499042510986},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6969326734542847},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.6288248300552368},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.6223905086517334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6190800070762634},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.5997605919837952},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5711086988449097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5643869042396545},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.48802486062049866},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.455354243516922},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42344290018081665},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.38745424151420593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37663543224334717},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.26211464405059814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.238307386636734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10887467861175537},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10107016563415527},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip40778.2020.9191185","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip40778.2020.9191185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03119411v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03119411","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":"2020 IEEE International Conference on Image Processing (ICIP), Oct 2020, Abu Dhabi, United Arab Emirates. pp.1926-1930, ⟨10.1109/ICIP40778.2020.9191185⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W14945172","https://openalex.org/W1491799173","https://openalex.org/W1665214252","https://openalex.org/W2118103795","https://openalex.org/W2133665775","https://openalex.org/W2142884912","https://openalex.org/W2194775991","https://openalex.org/W2340807170","https://openalex.org/W2408279554","https://openalex.org/W2549267533","https://openalex.org/W2600297185","https://openalex.org/W2747898905","https://openalex.org/W2767008699","https://openalex.org/W2898318847","https://openalex.org/W2914623577","https://openalex.org/W2942751004","https://openalex.org/W2948977392","https://openalex.org/W2963302407","https://openalex.org/W2963359731","https://openalex.org/W2963641970","https://openalex.org/W2963755523","https://openalex.org/W2963975324","https://openalex.org/W2971611393","https://openalex.org/W2997123088","https://openalex.org/W4288112466","https://openalex.org/W4298393083","https://openalex.org/W6637242042","https://openalex.org/W6677645113","https://openalex.org/W6714181750","https://openalex.org/W6745764291","https://openalex.org/W6752307458","https://openalex.org/W6755056417","https://openalex.org/W6756249039","https://openalex.org/W6762509139","https://openalex.org/W6763437998","https://openalex.org/W6767075255"],"related_works":["https://openalex.org/W2349121885","https://openalex.org/W2089955609","https://openalex.org/W3111435437","https://openalex.org/W2009711572","https://openalex.org/W2039299714","https://openalex.org/W4298287745","https://openalex.org/W2094035517","https://openalex.org/W2012702868","https://openalex.org/W1674877062","https://openalex.org/W2365810470"],"abstract_inverted_index":{"Researching":[0],"networks'":[1],"theoretical":[2],"properties":[3],"and":[4,22,39,47,81,93,130,137,148,151],"behavior":[5],"have":[6,112],"drawn":[7],"considerable":[8],"attention":[9],"from":[10],"the":[11,27,152],"perspective":[12],"of":[13],"ordinary":[14],"differential":[15],"equation":[16],"(ODE).":[17],"For":[18],"solving":[19],"ODE,":[20],"explicit":[21,34,59],"implicit":[23,50,66,79,99,105,158],"Euler":[24,35,51,80],"schemes":[25],"are":[26],"most":[28],"common":[29],"methods.":[30],"Some":[31],"works":[32],"utilize":[33],"theory":[36],"to":[37,55,64,111,117,162],"analyze":[38],"design":[40],"networks.":[41,71],"However,":[42],"focusing":[43],"on":[44,135,144],"parameters":[45,119],"convergence":[46,115,120],"system":[48],"stability,":[49],"has":[52],"been":[53],"proved":[54],"be":[56],"better":[57],"than":[58],"one.":[60],"It":[61],"motivates":[62],"us":[63],"explore":[65],"Euler's":[67],"potential":[68],"in":[69],"neural":[70],"In":[72,95],"this":[73],"paper,":[74],"we":[75,101,127,141],"establish":[76],"connections":[77],"between":[78],"networks,":[82],"which":[83,108],"also":[84],"effectively":[85],"explain":[86],"some":[87],"existing":[88],"networks":[89],"such":[90],"as":[91,121,123],"LISTA":[92,136],"DRRN.":[94],"addition,":[96],"by":[97,132],"re-deriving":[98],"Euler,":[100],"propose":[102],"an":[103],"adaptive":[104,157],"network":[106],"(AIM-NET)":[107],"allows":[109],"model":[110,124],"a":[113],"flexible":[114],"interval":[116],"ensure":[118],"well":[122],"performance.":[125,165],"Particularly,":[126],"obtain":[128],"AIM-LISTA":[129],"AIM-DRRN":[131],"applying":[133],"AIM-NET":[134],"DRRN":[138],"respectively.":[139],"Finally,":[140],"perform":[142],"experiments":[143],"both":[145],"synthetic":[146],"data":[147],"real":[149],"images":[150],"experimental":[153],"results":[154],"show":[155],"that":[156],"structure":[159],"is":[160],"able":[161],"significantly":[163],"improve":[164]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}