Question

Suppose the utility matrix of user-item rating data is binary (i.e., 0 or 1 values). In this case, which of the
following similarity measures will give the same values.
a.) Jaccard similarity
b.) Cosine similarity
c.) Centered cosine similarity

Answer 1

Jaccard similarity  are very common measurements while comparing item similarities.

Equcation:

J(A,B)=|A∩B||A∪B|=|A∩B||A|+|B|−|A∩B|

Jaccard similarity will always return 1, as you will always have the same elements in both lists.

Correct Answer is : a). Jaccard Similarity

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