{"id":"https://openalex.org/W4200629353","doi":"https://doi.org/10.1137/21m1457783","title":"An Accelerated Level-Set Method for Inverse Scattering Problems","display_name":"An Accelerated Level-Set Method for Inverse Scattering Problems","publication_year":2022,"publication_date":"2022-09-01","ids":{"openalex":"https://openalex.org/W4200629353","doi":"https://doi.org/10.1137/21m1457783"},"language":"en","primary_location":{"id":"doi:10.1137/21m1457783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457783","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.science/hal-03465136","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091439889","display_name":"Lorenzo Audibert","orcid":"https://orcid.org/0000-0001-5767-4100"},"institutions":[{"id":"https://openalex.org/I4210096782","display_name":"Laboratoire Pluridisciplinaire de Recherche en Ing\u00e9nierie des Syst\u00e8mes, M\u00e9canique et Energ\u00e9tique","ror":"https://ror.org/00sbth994","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210096782","https://openalex.org/I4210143826"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lorenzo Audibert","raw_affiliation_strings":["EDF R&D PRISME - Performance, Risque Industriel, Surveillance pour la Maintenance et l\u2019Exploitation (6 quai Watier, 78401, \r\nChatou CEDEX, France - France)"],"raw_orcid":"https://orcid.org/0000-0001-5767-4100","affiliations":[{"raw_affiliation_string":"EDF R&D PRISME - Performance, Risque Industriel, Surveillance pour la Maintenance et l\u2019Exploitation (6 quai Watier, 78401, \r\nChatou CEDEX, France - France)","institution_ids":["https://openalex.org/I4210096782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048195124","display_name":"Houssem Haddar","orcid":"https://orcid.org/0000-0003-4423-8697"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Houssem Haddar","raw_affiliation_strings":["IDEFIX - Inversion of Differential Equations For Imaging and physiX (828, Bd des Mar\u00e9chaux, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDEFIX - Inversion of Differential Equations For Imaging and physiX (828, Bd des Mar\u00e9chaux, 91120 Palaiseau - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100386603","display_name":"Xiaoli Liu","orcid":"https://orcid.org/0000-0003-4792-2267"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xiaoli Liu","raw_affiliation_strings":["CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","IDEFIX - Inversion of Differential Equations For Imaging and physiX (828, Bd des Mar\u00e9chaux, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210107641"]},{"raw_affiliation_string":"IDEFIX - Inversion of Differential Equations For Imaging and physiX (828, Bd des Mar\u00e9chaux, 91120 Palaiseau - 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":0.5716,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.5608851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"15","issue":"3","first_page":"1576","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/smoothing","display_name":"Smoothing","score":0.6159411668777466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6080223321914673},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6005617380142212},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5884780883789062},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.55328369140625},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5041426420211792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5016391277313232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4428630769252777},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.4417887330055237},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43101179599761963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4243360459804535},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35828423500061035},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19886547327041626},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.16151747107505798},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1308317482471466},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10246726870536804}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6159411668777466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6080223321914673},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6005617380142212},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5884780883789062},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.55328369140625},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5041426420211792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5016391277313232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4428630769252777},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.4417887330055237},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43101179599761963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4243360459804535},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35828423500061035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19886547327041626},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.16151747107505798},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1308317482471466},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10246726870536804},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1457783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457783","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-03465136v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03465136","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":"EISSN: 1936-4954","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03465136v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03465136","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":"EISSN: 1936-4954","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323744","display_name":"\u00c9lectricit\u00e9 de France","ror":"https://ror.org/03wb8xz10"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1602383637","https://openalex.org/W1972054485","https://openalex.org/W1982552629","https://openalex.org/W2001331101","https://openalex.org/W2036696673","https://openalex.org/W2044705542","https://openalex.org/W2060003021","https://openalex.org/W2062120419","https://openalex.org/W2075646985","https://openalex.org/W2089337236","https://openalex.org/W2093834886","https://openalex.org/W2095361687","https://openalex.org/W2100556411","https://openalex.org/W2101868363","https://openalex.org/W2120440916","https://openalex.org/W2159451621","https://openalex.org/W2167607665","https://openalex.org/W2279217367","https://openalex.org/W2332783578","https://openalex.org/W2527953407","https://openalex.org/W2558436941","https://openalex.org/W2899964107","https://openalex.org/W2901838001","https://openalex.org/W2963366752","https://openalex.org/W3016567034","https://openalex.org/W3108435852","https://openalex.org/W3110761137","https://openalex.org/W4206742934","https://openalex.org/W4288652121","https://openalex.org/W4302039664"],"related_works":["https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W2128608246","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W2050855072","https://openalex.org/W2077506191","https://openalex.org/W2520812953","https://openalex.org/W3101167575","https://openalex.org/W2387685679"],"abstract_inverted_index":{"We":[0,22],"propose":[1,33,72],"a":[2,16,24,34,73,80,114],"rapid":[3],"and":[4,32,60,108,123],"robust":[5],"iterative":[6],"algorithm":[7,52],"to":[8,27,75,125],"solve":[9],"inverse":[10],"acoustic":[11],"scattering":[12],"problems":[13],"formulated":[14],"as":[15],"PDE":[17],"constrained":[18],"shape":[19,77],"optimization":[20],"problem.":[21],"use":[23],"level-set":[25],"method":[26,112],"represent":[28],"the":[29,39,56,62,76,91],"obstacle":[30],"geometry":[31,40],"new":[35],"scheme":[36],"for":[37,98],"updating":[38],"based":[41],"on":[42],"an":[43],"adaptation":[44],"of":[45,58,64,119],"accelerated":[46],"gradient":[47,78],"descent":[48],"methods.":[49],"The":[50],"resulting":[51],"aims":[53],"at":[54],"reducing":[55],"number":[57],"iterations":[59],"improving":[61],"accuracy":[63],"reconstructions.":[65],"To":[66],"cope":[67],"with":[68,85],"regularization":[69],"issues,":[70],"we":[71],"smoothing":[74],"using":[79],"single":[81],"layer":[82],"potential":[83],"associated":[84],"$i":[86],"k$":[87],"where":[88],"$k$":[89],"is":[90],"wave":[92],"number.":[93],"Numerical":[94],"experiments":[95],"are":[96],"given":[97],"several":[99],"data":[100],"types":[101],"(full":[102],"aperture,":[103],"backscattering,":[104],"phaseless,":[105],"multiple":[106],"frequencies)":[107],"show":[109],"that":[110],"our":[111],"outperforms":[113],"nonaccelerated":[115],"approach":[116],"in":[117],"terms":[118],"convergence":[120],"speed,":[121],"accuracy,":[122],"sensitivity":[124],"initial":[126],"guesses.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
