{"id":438,"date":"2022-03-02T13:43:40","date_gmt":"2022-03-02T12:43:40","guid":{"rendered":"https:\/\/yanntraonmilin.wordpress.com\/?p=438"},"modified":"2022-03-02T13:43:40","modified_gmt":"2022-03-02T12:43:40","slug":"new-preprint-6","status":"publish","type":"post","link":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/?p=438","title":{"rendered":"New preprint"},"content":{"rendered":"\n<p>A preprint of the work on off-the-grid super resolution of our student P.J. B\u00e9nard is available. <\/p>\n\n\n\n<p><a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-03590939\">Fast off-the-grid sparse recovery with over-parametrized projected gradient descent<\/a>, P.J. B\u00e9nard, <strong>Y. Traonmilin<\/strong> and J.F. Aujol<\/p>\n\n\n\n<p>Abstract: &#8220;We consider the problem of recovering off-the-grid spikes from Fourier measurements. Successful methods such as sliding Frank-Wolfe and continuous orthogonal matching pursuit (OMP) iteratively add spikes to the solution then perform a costly (when the number of spikes is large) descent on all parameters at each iteration. In 2D, it was shown that performing a projected gradient descent (PGD) from a gridded over-parametrized initialization was faster than continuous orthogonal matching pursuit. In this paper, we propose an off-the-grid over-parametrized initialization of the PGD based on OMP that permits to fully avoid grids and gives faster results in 3D.&#8221;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A preprint of the work on off-the-grid super resolution of our student P.J. B\u00e9nard is available. Fast off-the-grid sparse recovery with over-parametrized projected gradient descent, P.J. B\u00e9nard, Y. Traonmilin and J.F. Aujol Abstract: &#8220;We consider the problem of recovering off-the-grid spikes from Fourier measurements. Successful methods such as sliding Frank-Wolfe and continuous orthogonal matching pursuit [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-438","post","type-post","status-publish","format-standard","hentry","category-paper"],"_links":{"self":[{"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts\/438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=438"}],"version-history":[{"count":0,"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts\/438\/revisions"}],"wp:attachment":[{"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=438"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=438"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yanntraonmilin.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}