@shortstein Let the probability distributions PQR be defined over the positive integers, and ignore the normalizing constants. I guess P(x)=1/x^2, R(x)=1/2^\sqrt{x}, and Q(x)=1/2^x will work.
@thegautamkamath For the 5d case, we can imagine the cross-section of the cross-section, and the same thing happens again. For large d, in the (d−3)'th cross-section, the 8 balls are very small and are moving towards the corners of the box. Therefore, the inner ball goes outside the box :)
@thegautamkamath Similarly, for the 4d case, the cross-section of the 4d case is imaginable because it is 3d. We will find the 8 balls in the cross-section getting smaller and the 8 contacting points moving away from the origin.
@thegautamkamath@orchidmajumder Some ML theory papers I found very useful for practicing matrix calculus skills:
https://t.co/9OQ6hdYjwr
https://t.co/4HmvE23568
https://t.co/jR4EiesPgs
@okarthik42 @thegautamkamath You are very young so please do not be too anxious to read papers. You can first learn some undergraduate level math like linear algebra, calculus, and statistics. (Calculus and statistics have Advanced Placement.) Papers will be easier to read years later.