Table 1 is a utility matrix, representing ratings of six items by four users. (1) Regard the utility matrix as a boolean matrix, calculate the jaccard similarity between A and C. (2) Calculate the cosine similarity between B and D. (3) Use collaborative filtering method with user-user similarity and k=2 (i.e., based on the top-2 similar users with respect to cosine similarity), predicate the rating of user C on item e. Notice: write the results as fractions rather than decimals. Items b c d f a e Users A 1 2| 5 В | 2 3 2 5 2 3 5 4 D 1 3| 5 4 4.

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Table 1 is a utility matrix, representing ratings of six items by four users.
(1) Regard the utility matrix as a boolean matrix, calculate the jaccard similarity
between A and C.
(2) Calculate the cosine similarity between B and D.
(3) Use collaborative filtering method with user-user similarity and k=2 (i.e.,
based on the top-2 similar users with respect to cosine similarity), predicate the
rating of user C on item e.
Notice: write the results as fractions rather than decimals.
Items
b c d
a
e
Users A
4
1
2| 5
В | 2
3 | 2 | 5
2
C
3 5
4
D
1
3 | 5
4
Transcribed Image Text:Table 1 is a utility matrix, representing ratings of six items by four users. (1) Regard the utility matrix as a boolean matrix, calculate the jaccard similarity between A and C. (2) Calculate the cosine similarity between B and D. (3) Use collaborative filtering method with user-user similarity and k=2 (i.e., based on the top-2 similar users with respect to cosine similarity), predicate the rating of user C on item e. Notice: write the results as fractions rather than decimals. Items b c d a e Users A 4 1 2| 5 В | 2 3 | 2 | 5 2 C 3 5 4 D 1 3 | 5 4
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