{"id":991,"date":"2018-08-17T13:16:33","date_gmt":"2018-08-17T21:16:33","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=991"},"modified":"2018-08-22T17:10:09","modified_gmt":"2018-08-23T01:10:09","slug":"large-scale-distributed-kalman-filtering-via-an-optimization-approach","status":"publish","type":"page","link":"https:\/\/depts.washington.edu\/uwrainlab\/large-scale-distributed-kalman-filtering-via-an-optimization-approach\/","title":{"rendered":"Large-scale distributed Kalman filtering via an optimization approach"},"content":{"rendered":"<p><strong>M. Hudoba de Badyn, M. Mesbahi<\/strong><\/p>\n<p><strong>Proc. of the 2017 IFAC World Congress<\/strong><\/p>\n<div class=\"gs_scl\">\n<div id=\"gsc_vcd_descr\" class=\"gsc_vcd_value\">\n<div id=\"abstracts\" class=\"Abstracts\">\n<div id=\"abs0001\" class=\"abstract author\">\n<div id=\"abss0001\">\n<p id=\"spara0001\">Large-scale distributed systems such as sensor networks, often need to achieve filtering and consensus on an estimated parameter from high-dimensional measurements. Running a Kalman filter on every node in such a network is computationally intensive; in particular the matrix inversion in the Kalman gain update step is expensive. In this paper, we extend previous results in distributed Kalman filtering and large-scale machine learning to propose a gradient descent step for updating an estimate of the error covariance matrix; this is then embedded and analyzed in the context of distributed Kalman filtering. We provide properties of the resulting filters, in addition to a number of applications throughout the paper.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<ul id=\"issue-navigation\" class=\"issue-navigation\"><\/ul>\n<\/div>\n<\/div>\n<div class=\"gs_scl\"><\/div>\n<p><strong>Links:<\/strong><\/p>\n<p><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S240589631733063X\"><img loading=\"lazy\" class=\"alignnone wp-image-810\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png 225w, https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download-150x150.png 150w\" sizes=\"(max-width: 26px) 100vw, 26px\" \/><\/a> \u00a0 <a href=\"https:\/\/reader.elsevier.com\/reader\/sd\/9DC5D6B71903EF51B37F94F8601ABCB82805770C4FEA1EC0D6BA51507DCB4F9FAA2CFDBD7EEF7D8A90A3A8337AC59E50\"><img loading=\"lazy\" class=\"alignnone wp-image-811\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png\" alt=\"\" width=\"31\" height=\"31\" srcset=\"https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png 250w, https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview-150x150.png 150w\" sizes=\"(max-width: 31px) 100vw, 31px\" \/><\/a> \u00a0 <a href=\"https:\/\/scholar.google.com\/scholar?hl=en&amp;as_sdt=0%2C48&amp;q=Large-scale+distributed+Kalman+filtering+via+an+optimization+approach&amp;btnG=#d=gs_cit&amp;p=&amp;u=%2Fscholar%3Fq%3Dinfo%3ACmfDQ0scTbwJ%3Ascholar.google.com%2F%26output%3Dcite%26scirp%3D0%26hl%3Den\"><img loading=\"lazy\" class=\"alignnone wp-image-809\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png\" alt=\"\" width=\"65\" height=\"21\" srcset=\"https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png 300w, https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-768x248.png 768w, https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-1024x330.png 1024w, https:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_.png 1200w\" sizes=\"(max-width: 65px) 100vw, 65px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>M. Hudoba de Badyn, M. Mesbahi Proc. of the 2017 IFAC World Congress Large-scale distributed systems such as sensor networks, often need to achieve filtering and consensus on an estimated parameter from high-dimensional measurements. Running a Kalman filter on every node in such a network is computationally intensive; in particular the matrix inversion in the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/991"}],"collection":[{"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":2,"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/991\/revisions"}],"predecessor-version":[{"id":1009,"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/991\/revisions\/1009"}],"wp:attachment":[{"href":"https:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}