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Q3. (10 points) Suppose x = (zi,T2,.. . ,rd) and z = (zi, 22: , 2d) be any two points in a high-dimensional space (i.e.,
Q3. (10 points) Suppose x = (zi,T2,.. . ,rd) and z = (zi, 22: , 2d) 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. Ti2 ?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? Q3. (10 points) Suppose x = (zi,T2,.. . ,rd) and z = (zi, 22: , 2d) 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. Ti2 ?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
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