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1. Consider the following matrix R60 0 0 Compute the Jaccard similarity between

ID: 2247586 • Letter: 1

Question

1. Consider the following matrix R60 0 0 Compute the Jaccard similarity between each pair of columns. Which of the following is the true similarity of the two stated columns? O a) C3 and C4 have similarity 1/2 b) Cl and C2 have similarity 1/6 O c) Cl and C3 have similarity 2/3 O d) C2 and C4 have similarity 1/4 2. Consider the following three vectors u. v. w in a 6-dimensional space: u = [1, 0.25, 0, 0, 05, 0] v = [0.15, 0, 0, 0.2, 0.4, 0] w 0, 0.1, 0.75, 0, 0, 1] Suppose cos(x. y) denotes the similarity of vectors x and y under the cosine similarity measure. Compute all three pairwise similarities among u,v, w Which of the following statements is true (to 4 decimal places)? a) b) c) d) cos(v,w)=0.9496 cos(v,w)=0 cos(u,v)-0.0174 cos(u,w)-0 o lo @ search . DOLL

Explanation / Answer

Answer 1: option d

Answer 2: option b

Answer 3: option c

Answer 4: option b

Answer 5: option a

Answer 6: option c