{"id":350,"date":"2022-09-05T21:47:15","date_gmt":"2022-09-05T21:47:15","guid":{"rendered":"http:\/\/www.keithdillon.com\/?p=350"},"modified":"2023-05-15T04:01:44","modified_gmt":"2023-05-15T04:01:44","slug":"calculus-for-a-deep-neural-network-with-vectors-matrices-and-a-few-tuples","status":"publish","type":"post","link":"https:\/\/www.keithdillon.com\/index.php\/2022\/09\/05\/calculus-for-a-deep-neural-network-with-vectors-matrices-and-a-few-tuples\/","title":{"rendered":"Calculus for Deep Learning, with Vectors, Matrices, and a few Tuples"},"content":{"rendered":"<p>This note derives the gradients for training a deep neural network while trying to use only matrix algebra and vector calculus. It isn&#8217;t quite enough so we have to add a little more structure based on &#8216;tuples&#8217;, basically a list of stuff, which can be utilized intuitively.<\/p>\n<p>Link:\u00a0 <a href=\"https:\/\/www.keithdillon.com\/papers_preprints\/Calculus for Deep Learning, with Vectors, Matrices, and a few Tuples.pdf\">Calculus for Deep Learning, with Vectors, Matrices, and a few Tuples<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This note derives the gradients for training a deep neural network while trying to use only matrix algebra and vector calculus. It isn&#8217;t quite enough so we have to add a little more structure based on &#8216;tuples&#8217;, basically a list<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"_links":{"self":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/350"}],"collection":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/comments?post=350"}],"version-history":[{"count":5,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/350\/revisions"}],"predecessor-version":[{"id":362,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/350\/revisions\/362"}],"wp:attachment":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/media?parent=350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/categories?post=350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/tags?post=350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}