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Cosine Similarity In NLP

This article explains cosine similarity in NLP.

What Is Cosine Similarity?

Cosine similarity is used to calculate how similar two vectors are by measuring the cosine of the angle between them.

Where:

||A|| = Magnitude (length) of vector A

||B|| = Magnitude (length) of vector B

Consider the following example.

A = [1, 2, 3]B = [2, 4, 6]

The dot product of the above two vectors is: -

A · B = (1×2) + (2×4) + (3×6) = 28

The magnitude is: -

||A|| = √(1² + 2² + 3²) = √14||B|| = √(2² + 4² + 6²) = √56

Cosine similarity is: -

28 / (√14 × √56) = 1

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