Suppose x = (1, 2, d) and z = (21, 22, Za) be any two points...

 

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Suppose x = (1, 2, d) and z = (21, 22, Za) be any two points in a high-dimensional space (i.e., d is very large). Suppose you are given the following property, where the right-hand side quantity represents the standard Euclidean distance. 2 (1-1) (2 - 21) i=1 (1) We know that the computation of nearest neighbors is very expensive in the high-dimensional space. Discuss how we can make use of the above property to make the nearest neighbors computation efficient? Suppose x = (1, 2, d) and z = (21, 22, Za) be any two points in a high-dimensional space (i.e., d is very large). Suppose you are given the following property, where the right-hand side quantity represents the standard Euclidean distance. 2 (1-1) (2 - 21) i=1 (1) We know that the computation of nearest neighbors is very expensive in the high-dimensional space. Discuss how we can make use of the above property to make the nearest neighbors computation efficient?