{"id":99,"date":"2021-08-21T13:35:00","date_gmt":"2021-08-21T12:35:00","guid":{"rendered":"http:\/\/michaeltsmith.org.uk\/?p=99"},"modified":"2022-01-28T23:44:04","modified_gmt":"2022-01-28T23:44:04","slug":"simulated-3d-flight-path-reconstruction-external","status":"publish","type":"post","link":"http:\/\/michaeltsmith.org.uk\/?p=99","title":{"rendered":"Simulated 3d flight path reconstruction"},"content":{"rendered":"\n<p>Last week I was using a particle filter to model the bees, but this morning I tried out (with very simple simulated dataset) using a <strong>multioutput Gaussian process<\/strong>. I think these results look better*:<\/p>\n\n\n\n<figure class=\"wp-block-embed\"><div class=\"wp-block-embed__wrapper\">\n<div style=\"width: 525px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-99-1\" width=\"525\" height=\"295\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/webm\" src=\"http:\/\/michaeltsmith.org.uk\/random\/beepaths.webm?_=1\" \/><a href=\"http:\/\/michaeltsmith.org.uk\/random\/beepaths.webm\">http:\/\/michaeltsmith.org.uk\/random\/beepaths.webm<\/a><\/video><\/div>\n<\/div><\/figure>\n\n\n\n<p>The dots are samples to show uncertainty, set to 1\/3 of the true standard deviation for clarity.<\/p>\n\n\n\n<p> The straight lines are from the &#8216;photographs&#8217; taken from two cameras. The green helix is the &#8216;true&#8217; path of the simulated bee.<br><\/p>\n\n\n\n<p>I can&#8217;t believe how quick it is to use stochastic variational inference! The slowest bit was having to write some code to do batch-compatible cross-products in tensor flow. Notebook <a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/lionfish0\/experimentation\/blob\/master\/Bee%20Flight%20Path%20Gaussian%20Process%20Variational%20Inference.ipynb\" target=\"_blank\">here<\/a>.<br>I&#8217;ve already run the particle smoother on some learning flights, but will try this out on them instead&#8230;<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Last week I was using a particle filter to model the bees, but this morning I tried out (with very simple simulated dataset) using a multioutput Gaussian process. I think these results look better*: The dots are samples to show uncertainty, set to 1\/3 of the true standard deviation for clarity. The straight lines are &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/michaeltsmith.org.uk\/?p=99\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Simulated 3d flight path reconstruction&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-99","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/posts\/99","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=99"}],"version-history":[{"count":3,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/posts\/99\/revisions"}],"predecessor-version":[{"id":116,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=\/wp\/v2\/posts\/99\/revisions\/116"}],"wp:attachment":[{"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=99"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=99"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/michaeltsmith.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}