Articles → NLP → Cosine Similarity In NLP

Cosine Similarity In NLP

What Is Cosine Similarity?

Formula

1. A · B = Dot product of vectors A and B
2. ||A|| = Magnitude (length) of vector A
3. ||B|| = Magnitude (length) of vector B

Example

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

A · B = (1×2) + (2×4) + (3×6) = 28

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

28 / (√14 × √56) = 1

Range Of Values