{"id":558,"date":"2018-01-09T15:21:18","date_gmt":"2018-01-09T15:21:18","guid":{"rendered":"http:\/\/www.nullplug.org\/ML-Blog\/?p=558"},"modified":"2018-01-09T15:21:18","modified_gmt":"2018-01-09T15:21:18","slug":"problem-set-10","status":"publish","type":"post","link":"https:\/\/www.nullplug.org\/ML-Blog\/2018\/01\/09\/problem-set-10\/","title":{"rendered":"Problem Set 10"},"content":{"rendered":"<h2>Problem Set 10<\/h2>\n<p>This is to be completed by January 11th, 2018.<\/p>\n<h3>Exercises<\/h3>\n<ol>\n<li><a href=\"https:\/\/www.datacamp.com\/home\">Datacamp<\/a>\n<ul>\n<li>Complete the lesson:<br \/>\na. Intro to Python for Data Science<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>During this week&#8217;s problem session I will provide an introduction to Python.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem Set 10 This is to be completed by January 11th, 2018. Exercises Datacamp Complete the lesson: a. Intro to Python for Data Science During this week&#8217;s problem session I will provide an introduction to Python.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-558","post","type-post","status-publish","format-standard","hentry","category-general"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9dIpN-90","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":377,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2017\/10\/11\/problem-set-1\/","url_meta":{"origin":558,"position":0},"title":"Problem Set 1","author":"Justin Noel","date":"October 11, 2017","format":false,"excerpt":"Problem Set 1 This is to be completed by November 27th, 2017. (THIS IS A TYPO: This should read October 26th, 2017). It is okay if you finish by this ridiculous first due date. Forewarning For several of these exercises, you will be asked to install software and\/or setup accounts\u2026","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/general\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":579,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2018\/01\/26\/problem-set-13\/","url_meta":{"origin":558,"position":1},"title":"Problem Set 13","author":"Justin Noel","date":"January 26, 2018","format":false,"excerpt":"Problem Set 13 This is to be completed by February 1st, 2018. Exercises Datacamp * Complete the lesson: a. Python Data Science Toolbox (Part II) For a logistic regressor (multiclass ending in softmax) write down the update rules for gradient descent. For a two layer perceptron ending in softmax with\u2026","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/general\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":563,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2018\/01\/13\/problem-set-11\/","url_meta":{"origin":558,"position":2},"title":"Problem Set 11","author":"Justin Noel","date":"January 13, 2018","format":false,"excerpt":"Problem Set 11 This is to be completed by January 18th, 2018. Exercises Datacamp Complete the lesson: a. Intermediate Python for Data Science What is the maximum depth of a decision tree trained on $N$ samples? If we train a decision tree to an arbitrary depth, what will be the\u2026","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/general\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":572,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2018\/01\/19\/572\/","url_meta":{"origin":558,"position":3},"title":"Problem Set  12","author":"Justin Noel","date":"January 19, 2018","format":false,"excerpt":"Problem Set 12 This is to be completed by January 25th, 2018. Exercises Datacamp Complete the lesson: a. Python Data Science Toolbox (Part I) Let $S\\subset \\Bbb R^n$ with $|S|<\\infty$. Let $\\mu=\\frac{1}{|S|}\\sum_{x_i\\in S} x_i$. Show that $$ \\frac{1}{|S|}\\sum_{(x_i,x_j)\\in S\\times S} ||x_i-x_j||^2 = 2\\sum_{x_i\\in S} ||x_i-\\mu||^2.$$ Prove that the $K$-means clustering\u2026","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/general\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":63,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2017\/09\/26\/computer-science-background\/","url_meta":{"origin":558,"position":4},"title":"Computer Science Background","author":"Justin Noel","date":"September 26, 2017","format":false,"excerpt":"If you find that you're spending almost all your time on theory, start turning some attention to practical things; it will improve your theories. If you find that you're spending almost all your time on practice, start turning some attention to theoretical things; it will improve your practice. - Donald\u2026","rel":"","context":"In &quot;Supplementary material&quot;","block_context":{"text":"Supplementary material","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/supplementary-material\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":550,"url":"https:\/\/www.nullplug.org\/ML-Blog\/2017\/12\/11\/problem-set-8\/","url_meta":{"origin":558,"position":5},"title":"Problem Set 8","author":"Justin Noel","date":"December 11, 2017","format":false,"excerpt":"Problem Set 8 This is to be completed by December 14th, 2017. There will be no exercise session this week. Exercises Datacamp Complete the lesson: a. Beginning Bayes in R","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.nullplug.org\/ML-Blog\/category\/general\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/posts\/558","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/comments?post=558"}],"version-history":[{"count":1,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/posts\/558\/revisions"}],"predecessor-version":[{"id":559,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/posts\/558\/revisions\/559"}],"wp:attachment":[{"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/media?parent=558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/categories?post=558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.nullplug.org\/ML-Blog\/wp-json\/wp\/v2\/tags?post=558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}