Question: Write a Python code using the below formula to Generate 1001 random vectors of size 100 by considering a vector X R 100 where each
Write a Python code using the below formula to Generate 1001 random vectors of size 100 by considering a vector X R 100 where each X i [0,1] are i.i.d. random variables in the interval [0,1] with uniform distribution. fix one of the points and compute the square of the distances for 1000 pairs. D2 must be 0 D2 100. Compute the histogram of D2 on [0,100].
Pairwise distances in R2:d=100 - Repeat the above experiment in Vc(d,1). Here {x=(x1,x2,xd)Ty=(y1,y2,yd)T with xiyi1 D2(x,y)=i=1d(xiyi)2 (10) - Clearly 0D2(x,y)100. Vc(d,1)
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