{"id":1559,"date":"2015-01-06T09:34:34","date_gmt":"2015-01-06T14:34:34","guid":{"rendered":"https:\/\/blogs.mathworks.com\/videos\/?p=1559"},"modified":"2015-01-06T09:34:34","modified_gmt":"2015-01-06T14:34:34","slug":"visualizing-a-simple-saddle-point-algorithm-in-matlab","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/videos\/2015\/01\/06\/visualizing-a-simple-saddle-point-algorithm-in-matlab\/","title":{"rendered":"Visualizing a Simple Saddle Point Algorithm in MATLAB"},"content":{"rendered":"There are lots of places in optimization and game theory where you would want to identify a saddle point on a two-dimensional surface. In this example we find and visualize the saddle point of a surface. We are trying to maximize the value of the surface by our choice in one dimension and trying to minimize it by our choice in the other dimension.  Once we find this saddle point, we have found the optimal choice in each dimension.\r\n\r\n<div><div class=\"row\"><div class=\"col-xs-12 containing-block\"><div class=\"bc-outer-container add_margin_20\"><videoplayer><div class=\"video-js-container\"><video data-video-id=\"3993852624001\" data-video-category=\"blog\" data-autostart=\"false\" data-account=\"62009828001\" data-omniture-account=\"mathwgbl\" data-player=\"rJ9XCz2Sx\" data-embed=\"default\" id=\"mathworks-brightcove-player\" class=\"video-js\" controls><\/video><script src=\"\/\/players.brightcove.net\/62009828001\/rJ9XCz2Sx_default\/index.min.js\"><\/script><script>if (typeof(playerLoaded) === 'undefined') {var playerLoaded = false;}(function isVideojsDefined() {if (typeof(videojs) !== 'undefined') {videojs(\"mathworks-brightcove-player\").on('loadedmetadata', function() {playerLoaded = true;});} else {setTimeout(isVideojsDefined, 10);}})();<\/script><\/div><\/videoplayer><\/div><\/div><\/div>\r\n <\/div>\r\n","protected":false},"excerpt":{"rendered":"<div class=\"thumbnail thumbnail_asset asset_overlay video\"><a href=\"https:\/\/blogs.mathworks.com\/videos\/2015\/01\/06\/visualizing-a-simple-saddle-point-algorithm-in-matlab\/?dir=autoplay\"><img decoding=\"async\" src=\"https:\/\/cf-images.us-east-1.prod.boltdns.net\/v1\/static\/62009828001\/509771bd-d3ac-4a58-b9cb-6f6bd536ba90\/53c3877d-ba51-4cd4-80aa-97b67be39813\/1280x720\/match\/image.jpg\" onError=\"this.style.display ='none';\"\/>\n      <div class=\"overlay_container\">\n      <span class=\"icon-video icon_color_null\"><time class=\"video_length\">3:50<\/time><\/span>\n      <\/div>\n      <\/a><\/div><p>There are lots of places in optimization and game theory where you would want to identify a saddle point on a two-dimensional surface. In this example we find and visualize the saddle point of a&#8230; <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/videos\/2015\/01\/06\/visualizing-a-simple-saddle-point-algorithm-in-matlab\/\">read more >><\/a><\/p>","protected":false},"author":68,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,17],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/1559"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/comments?post=1559"}],"version-history":[{"count":3,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/1559\/revisions"}],"predecessor-version":[{"id":1563,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/1559\/revisions\/1563"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/media?parent=1559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/categories?post=1559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/tags?post=1559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}