

{"id":96,"date":"2019-01-29T08:01:33","date_gmt":"2019-01-29T07:01:33","guid":{"rendered":"https:\/\/project.inria.fr\/adapt\/?page_id=96"},"modified":"2021-10-13T18:00:01","modified_gmt":"2021-10-13T16:00:01","slug":"research","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/adapt\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p><a href=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-114 alignleft\" src=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor-300x70.png\" alt=\"\" width=\"296\" height=\"69\" srcset=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor-300x70.png 300w, https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor-768x178.png 768w, https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor-1024x237.png 1024w, https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor-150x35.png 150w, https:\/\/project.inria.fr\/adapt\/files\/2019\/07\/Vlasov_AdaptiveTensor.png 1975w\" sizes=\"auto, (max-width: 296px) 100vw, 296px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Research topics:<\/p>\n<ol>\n<li><a href=\"https:\/\/hal.inria.fr\/hal-02284456\">HPF: adaptive hierarchical sub-tensor approximations using local HOSVD<\/a> (<strong>H<\/strong>ierarchical <strong>P<\/strong>artitioning <strong>F<\/strong>ormat)<\/li>\n<li><a href=\"https:\/\/arxiv.org\/pdf\/1909.06626.pdf\">Non-linear model reduction based on Riemannian geometry<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2011.09725\">CP-TT: using TT-SVD to greedily construct stable CP tensor approximations<\/a>.<\/li>\n<li><a href=\"https:\/\/hal.inria.fr\/hal-03018646\">SO-TT: greedy approximation of a given tensor as a sum of Tensor Trains.<\/a><\/li>\n<li><a href=\"https:\/\/hal.inria.fr\/hal-03374966\">An extended Krylov-like method to solve multilinear systems.<\/a><\/li>\n<li><a href=\"https:\/\/hal.inria.fr\/hal-03375811\">State estimation using Tensor Trains.<\/a><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Conferences and Seminars:<\/p>\n<ol>\n<li>Virginie Ehrlacher, \u00a0<em>Dynamical Adaptive tensor methods for the Vlasov-Poisson system<\/em>, GAMN 2019, Wien.\u00a0<a href=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/06\/GAMN2019.pdf\">GAMN2019<\/a><\/li>\n<li>Damiano Lombardi, <em>Adaptive dynamical approximations with tensors<\/em>, Amiens 2019.\u00a0<a href=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/06\/TensorApp.pdf\">Amiens2019<\/a><\/li>\n<li>Damiano Lombardi, <i>A hierarchical adaptive subtensor partitioning for tensor compression<\/i>, Lions-Magenes days,\u00a0<a href=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/11\/Pres.pdf\">Paris 2019<\/a>.<\/li>\n<li>Damiano Lombardi, <i>A hierarchical adaptive subtensor partitioning for tensor compression<\/i>, Mortech,\u00a0<a href=\"https:\/\/project.inria.fr\/adapt\/files\/2019\/11\/Pres.pdf\">Paris 2019<\/a>.<\/li>\n<li>Damiano Lombardi, <em>Adaptive tensor methods for scientific computing<\/em>, S\u00e9minaire du Laboratoire Jacques-Louis Lions, Paris, 05-03-2021<\/li>\n<li>Damiano Lombardi, <em>Adaptive tensor methods for scientific computing<\/em>, Seminar of \u00a0Glasgow Centre of Computational Engineering, \u00a0April-2021<\/li>\n<\/ol>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; Research topics: HPF: adaptive hierarchical sub-tensor approximations using local HOSVD (Hierarchical Partitioning Format) Non-linear model reduction based on Riemannian geometry CP-TT: using TT-SVD to greedily construct stable CP tensor approximations. SO-TT: greedy approximation of a given tensor as a sum of Tensor Trains. An extended Krylov-like method to\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/adapt\/research\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":1500,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-96","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/pages\/96","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/users\/1500"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/comments?post=96"}],"version-history":[{"count":18,"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/pages\/96\/revisions"}],"predecessor-version":[{"id":150,"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/pages\/96\/revisions\/150"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/adapt\/wp-json\/wp\/v2\/media?parent=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}