{"id":405,"date":"2019-11-04T16:45:16","date_gmt":"2019-11-04T20:45:16","guid":{"rendered":"http:\/\/sites.nd.edu\/jianxun-wang\/?page_id=405"},"modified":"2019-11-04T17:01:59","modified_gmt":"2019-11-04T21:01:59","slug":"data-assimilation-and-uncertainty-quantification","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/jianxun-wang\/research\/data-assimilation-and-uncertainty-quantification\/","title":{"rendered":"Data assimilation and Uncertainty Quantification"},"content":{"rendered":"<ul>\n<li>\n<h2>Bayesian data assimilation and inference<\/h2>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-409\" src=\"http:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.47.03-300x223.png\" alt=\"\" width=\"249\" height=\"185\" srcset=\"https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.47.03-300x223.png 300w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.47.03-768x570.png 768w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.47.03.png 932w\" sizes=\"auto, (max-width: 249px) 100vw, 249px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-408\" src=\"http:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.50.04-300x122.png\" alt=\"\" width=\"462\" height=\"188\" srcset=\"https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.50.04-300x122.png 300w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.50.04-768x313.png 768w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.50.04-1024x417.png 1024w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/Screen-Shot-2019-11-04-at-15.50.04.png 2019w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/p>\n<ol>\n<li>J. Wu, J.-X. Wang, S. C. Shadden, Improving the Convergence of the Iterative Ensemble Kalman Filter by Resampling, 2019. [<a href=\"https:\/\/arxiv.org\/abs\/1910.04247\">Arxiv<\/a>, DOI, bib]<\/li>\n<li>J.-C. Wu, J.-X. Wang, S. C. Shadden, Adding constraints to Bayesian inverse problems, <a href=\"https:\/\/aaai.org\/Conferences\/AAAI-19\/\" target=\"_blank\" rel=\"noopener noreferrer\">2019 AAAI Conference on Artificial Intelligence<\/a> (Acceptance Rate: 16.9%), 2019. [<a href=\"https:\/\/arxiv.org\/pdf\/1812.06212.pdf\">Arxiv<\/a>, Link]<\/li>\n<\/ol>\n<ul>\n<li>\n<h2>Forward uncertainty propagation and surrogate modeling<\/h2>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-407\" src=\"http:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/BF-overview-300x105.png\" alt=\"\" width=\"614\" height=\"215\" srcset=\"https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/BF-overview-300x105.png 300w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/BF-overview-768x268.png 768w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/BF-overview-1024x358.png 1024w, https:\/\/sites.nd.edu\/jianxun-wang\/files\/2019\/11\/BF-overview.png 1309w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/p>\n<ol>\n<li>H. Gao*, X. Zhu, J.-X. Wang. A Bi-fidelity Surrogate Modeling Approach for Uncertainty Propagation in Three-Dimensional Hemodynamic Simulations. 2019. [<a href=\"https:\/\/arxiv.org\/pdf\/1908.10197.pdf\">Arxiv<\/a>, DOI, bib]<\/li>\n<li>L. Sun*, H. Gao*, S. Pan, J.-X. Wang. Surrogate Modeling for Fluid Flows Based on Physics-Constrained Deep Learning Without Simulation Data. <em>Computer Methods in Applied Mechanics and Engineering, (Accepted),\u00a0<\/em>2019. [<a href=\"https:\/\/arxiv.org\/pdf\/1906.02382.pdf\">Arxiv<\/a>, DOI, bib].<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Bayesian data assimilation and inference J. Wu, J.-X. Wang, S. C. Shadden, Improving the Convergence of the Iterative Ensemble Kalman Filter by Resampling, 2019. [Arxiv, DOI, bib] J.-C. Wu, J.-X. Wang, S. C. Shadden, Adding constraints to Bayesian inverse problems, 2019 AAAI Conference on Artificial Intelligence (Acceptance Rate: 16.9%), 2019. [Arxiv, Link] Forward uncertainty propagation [&hellip;]<\/p>\n","protected":false},"author":3220,"featured_media":0,"parent":2,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-405","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/pages\/405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/users\/3220"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/comments?post=405"}],"version-history":[{"count":6,"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/pages\/405\/revisions"}],"predecessor-version":[{"id":420,"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/pages\/405\/revisions\/420"}],"up":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/pages\/2"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/jianxun-wang\/wp-json\/wp\/v2\/media?parent=405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}