{"id":14719,"date":"2023-04-16T18:52:47","date_gmt":"2023-04-16T18:52:47","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/math-methods-in-data-science-svd-gaussians-in-high-dimension-best-rank-approximation\/"},"modified":"2023-04-16T18:52:47","modified_gmt":"2023-04-16T18:52:47","slug":"math-methods-in-data-science-svd-gaussians-in-high-dimension-best-rank-approximation","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/math-methods-in-data-science-svd-gaussians-in-high-dimension-best-rank-approximation\/","title":{"rendered":"Math Methods in Data Science &#8211; SVD, Gaussians in High Dimension, Best rank approximation."},"content":{"rendered":"<div class=\"col-sm-12 messageContent\">\n <b>Learning Goal: <\/b>I&#8217;m working on a mathematics exercise and need the explanation and answer to help me learn.<\/p>\n<p>This assignment consists of three exercises (A, 3 and 4), which can be found in the PDF document. Additionally, the PDF includes a reference sheet containing the relevant topics and associated formulas outlined below.<\/p>\n<p>Topics related to the exercises:<\/p>\n<p>Geometry of High Dimensions, Properties of the unit ball, Gaussians in High Dimension, Separating Gaussians, Singular Vector, Singular Value Decomposition, Best Rank-<i>k <\/i>Approximation, Left Singular Vector and The power method.<\/p>\n<p>The final solution should be handwritten, ensuring clarity and legibility. If you plan to use Chegg, please refrain from doing so, as the submitted work will be checked for plagiarism.<\/p>\n<div class=\"questions-requirements\">\n<p class=\"requirement\">Requirements: as long as it needs<\/p>\n<\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goal: I&#8217;m working on a mathematics exercise and need the explanation and answer to help me learn. This assignment consists of three exercises (A, 3 and 4), which can be found in the PDF document. Additionally, the PDF includes a reference sheet containing the relevant topics and associated formulas outlined below. Topics related to [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[529],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/14719"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=14719"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/14719\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=14719"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=14719"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=14719"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=14719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}