tag:blogger.com,1999:blog-10560800.post114802066516679318..comments2024-07-23T12:44:49.046-07:00Comments on Machine Learning, etc: Curse of Dimensionality and intuitionYaroslav Bulatovhttp://www.blogger.com/profile/06139256691290554110noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-10560800.post-30086060893807991142021-08-21T03:25:56.736-07:002021-08-21T03:25:56.736-07:00While browsing internet i came across your blog. R...While browsing internet i came across your blog. Really <a href="https://avejis-gadazidva.com/" rel="nofollow">ავეჯის გადაზიდვა</a> found some good stuff here. I wanted some help from you. I am currently learning machine learning subject.avejis gadazidvahttps://avejis-gadazidva.com/noreply@blogger.comtag:blogger.com,1999:blog-10560800.post-28244703649975987372019-06-30T23:35:00.623-07:002019-06-30T23:35:00.623-07:00Excellent machine learning blog,thanks for sharing...<br /><br />Excellent machine learning blog,thanks for sharing...<br /><a href="http://www.chloros.in/digital-marketing-internship.html" rel="nofollow">Seo Internship in Bangalore</a><br /><a href="http://www.chloros.in/digital-marketing-internship.html" rel="nofollow">Smo Internship in Bangalore</a><br /><a href="http://www.chloros.in/digital-marketing-internship.html" rel="nofollow">Digital drajhttps://www.blogger.com/profile/09406008777968855145noreply@blogger.comtag:blogger.com,1999:blog-10560800.post-81738086597365943512009-09-01T23:42:38.391-07:002009-09-01T23:42:38.391-07:00Nice introduction of simple math, high dimensional...Nice introduction of simple math, high dimensional space seems to be challenging for we 3D human being. Anyway, really nice post and thanks.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148832358698299282006-05-28T09:05:00.000-07:002006-05-28T09:05:00.000-07:00Dear all, high-dimensional data analysis is the to...Dear all, high-dimensional data analysis is the topic of my PhD thesis, which I am currently writing. I have gathered quite a few references about 'strange' properties of high dimensional spaces. If you are interested, just send me an email. <A HREF="http://www.inma.ucl.ac.be/~francois/" REL="nofollow">damien</A>damien francoishttps://www.blogger.com/profile/07629341654339583455noreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148732660239997192006-05-27T05:24:00.000-07:002006-05-27T05:24:00.000-07:00Really nice !As regards the gaussian part of this ...Really nice !<BR/>As regards the gaussian part of this post, some graphs are missing ("following graphs d=1,d=4,d=16") and that makes "The mean of this distribution is..." a little confusing because you actually refer to E[||X||] and not to E[X] (which is always 0). This is obvious, but, at first glance I was confused...<BR/>Nevertheless, are there consequences on technics using d-normal (like Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148528012065409572006-05-24T20:33:00.000-07:002006-05-24T20:33:00.000-07:00Thanks for the link Damien, thanks for the comment...Thanks for the link Damien, thanks for the comment Daniel, Iain -- I agree, units are not really meaningful.<BR/><BR/>Consider a cube with side 1 meter long. As dimensions increase, cube volume stays constant, goes to infinity or to zero depending on whether you use meters, millimeters or kilometers to measure volume.<BR/><BR/>Relative volume of cube inscribed in a sphere is another interesting Yaroslav Bulatovhttps://www.blogger.com/profile/06139256691290554110noreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148382848561631982006-05-23T04:14:00.000-07:002006-05-23T04:14:00.000-07:00Nice post.I have some sort of knee-jerk reaction a...Nice post.<BR/><BR/>I have some sort of knee-jerk reaction against comparing the volume of spheres in different dimensions. What does it mean to compare the volume of something in 3d with units [L^3] and 4d with units [L^4]? I wouldn't like to say that one is ‘bigger’ than the other. Of course one may compare dimensionless quantities, which I appreciate is what you are doing by comparing the Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148345116246653902006-05-22T17:45:00.000-07:002006-05-22T17:45:00.000-07:00This is the math post of the year!This is the math post of the year!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10560800.post-1148226685191483882006-05-21T08:51:00.000-07:002006-05-21T08:51:00.000-07:00Very interesting read. May I recommend the nice ov...Very interesting read. May I recommend the nice overview of <A HREF="http://www.nuwc.navy.mil/npt/Csf/papers/hidim.pdf" REL="nofollow">Mario Koppen</A> as complementary reading. <A HREF="http://www.inma.ucl.ac.be/~francois/blog/" REL="nofollow">damien</A>damien francoishttps://www.blogger.com/profile/07629341654339583455noreply@blogger.com