{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:38:51Z","timestamp":1787323131602,"version":"build-2736575974"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"name":"Agence de l\u2019Innovation de D\u00e9fense","award":["PRODIPO"],"award-info":[{"award-number":["PRODIPO"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2024,12,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We present an extension of the linear sampling method for solving the sound-soft inverse scattering problem in two dimensions with data generated by randomly distributed small scatterers. The theoretical justification of our novel sampling method is based on a rigorous asymptotic model, a modified Helmholtz\u2013Kirchhoff identity, and our previous work on the linear sampling method for random sources. Our numerical implementation incorporates boundary elements, singular value decomposition, Tikhonov regularization, and Morozov\u2019s discrepancy principle. We showcase the robustness and accuracy of our algorithms with a series of numerical experiments.<\/jats:p>","DOI":"10.1137\/24m1650417","type":"journal-article","created":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T04:23:28Z","timestamp":1729484608000},"page":"2142-2173","source":"Crossref","is-referenced-by-count":2,"title":["The Linear Sampling Method for Data Generated by Small Random Scatterers"],"prefix":"10.1137","volume":"17","author":[{"given":"Josselin","family":"Garnier","sequence":"first","affiliation":[{"name":"CMAP, \u00c9cole Polytechnique, IP Paris, 91120 Palaiseau, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Houssem","family":"Haddar","sequence":"additional","affiliation":[{"name":"Inria, UMA, ENSTA Paris, IP Paris, 91120 Palaiseau, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-1742-9828","authenticated-orcid":true,"given":"Hadrien","family":"Montanelli","sequence":"additional","affiliation":[{"name":"Inria, UMA, ENSTA Paris, IP Paris, 91120 Palaiseau, France."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,10,21]]},"reference":[{"key":"ref1","volume-title":"Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables","author":"Abramowitz M.","year":"1964"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.5802\/smai-jcm.36"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/30\/3\/035011"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/16M110112X"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/16M1107760"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.08.020"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8827-9"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974461"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.wavemoti.2012.06.001"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/19\/6\/057"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/12\/4\/003"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/17M1144763"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-30351-8"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/13\/6\/005"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1121\/1.3397447"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/019"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2011.1920"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/22M1531336"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781316471807"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1029\/2010GL043623"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2478.2007.00684.x"},{"key":"ref22","first-page":"1","volume-title":"Encyclopedia of Earthquake Engineering","author":"Koulakov I.","year":"2014"},{"key":"ref23","volume-title":"Special Functions and Their Applications","author":"Lebedev N.","year":"1972"},{"key":"ref24","unstructured":"H. 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