A set of dataset D = {a, b, c, d} are specified as follows: a =...
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A set of dataset D = {a, b, c, d} are specified as follows: a = (0.54, 1.83, -2.26, 0.86, 0.32) b= (-1.31,-0.43, 0.34, 3.58, 2.77) c = (-1.35, 3.03, 0.73,-0.06, 0.71) d = (-0.20, -0.12, 1.49, 1.41, 1.42) Compute the Euclidean distances d(a, b), d(a, c) and d(a, d); and hence report the closest neigh- borhood of a. Problem 4. (Bonus 4 points.) Suppose x, y R in this problem. Determine whether the following statements are true. Answers with no valid reasoning receive no mark. (a) (2 pts.) Denote b= x - y = (b₁,..., bn). Let bn, f(x,y)=b₁, b2, if n/3=0 if (n-1)/3 = 0. otherwise It is unclear whether f(x, y) is a distance metric. (b) (2 pts.) Suppose g(x, y) is a distance metric. For any real constant AER, we are able to find another distance metric by using h(x, y) = A· g(x, y). A set of dataset D = {a, b, c, d} are specified as follows: a = (0.54, 1.83, -2.26, 0.86, 0.32) b= (-1.31,-0.43, 0.34, 3.58, 2.77) c = (-1.35, 3.03, 0.73,-0.06, 0.71) d = (-0.20, -0.12, 1.49, 1.41, 1.42) Compute the Euclidean distances d(a, b), d(a, c) and d(a, d); and hence report the closest neigh- borhood of a. Problem 4. (Bonus 4 points.) Suppose x, y R in this problem. Determine whether the following statements are true. Answers with no valid reasoning receive no mark. (a) (2 pts.) Denote b= x - y = (b₁,..., bn). Let bn, f(x,y)=b₁, b2, if n/3=0 if (n-1)/3 = 0. otherwise It is unclear whether f(x, y) is a distance metric. (b) (2 pts.) Suppose g(x, y) is a distance metric. For any real constant AER, we are able to find another distance metric by using h(x, y) = A· g(x, y).
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To calculate the distance in Euclidean space between two points p and To calculate q use this formula 1 2 dpq i1 p i q i 2 where the points p and q ar... View the full answer
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