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MediumNLPnlp-005

Cosine Similarity of Token Vectors

Problem

Compute the cosine similarity between two equal-length vectors:

cos(v1, v2) = (v1 · v2) / (||v1|| * ||v2||)

Return 0.0 if either vector has zero norm.

Hint

Dot product over the product of L2 norms. Range: [-1, 1].

Test cases

case 1
in: [[1,0,1],[1,1,0]]
expected: 0.5
case 2
in: [[1,1],[1,1]]
expected: 1
case 3
in: [[1,0],[0,1]]
expected: 0
case 4
in: [[1,2,3],[2,4,6]]
expected: 1
case 5
in: [[0,0],[1,1]]
expected: 0
Starter codePython
def cosine_similarity(v1, v2):
    # Your code here
    pass

5 test cases · run your code against them in the editor