Question
This problem compares and contrasts some similarity and distance measures. (a) For binary data, the L1 distance corresponds to Hamming distance; that is, the number
This problem compares and contrasts some similarity and distance measures.
(a) For binary data, the L1 distance corresponds to Hamming distance; that is, the number of bits that are different between two binary vectors. The Jaccard similarity is a measure of the similarity between two binary vectors. Compute the Hamming distance and the Jaccard similarity between the following two binary vectors:
x=0101110001 y=0101011110
(b) Which approach, Jaccard or Hamming distance, is more similar to the Simple Matching Coefficient, and which approach is more similar to the cosine measure? Explain. (Note: The Hamming measure is a distance, while the other three measures are similarities, but don't let this confuse you.)
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