📐 Cosine similarity §

= the ⚫️ Dot-product of two vectors, scaled by their magnitude (= 📏 Vector length) → difference between two vectors in terms of their angle

Formula §

$\mathrm{cosine}(\vec{v},\vec{w})=\frac{\vec{v}\cdot \vec{w}}{|\vec{v}||\vec{w}|}$

• $v$: vector 1
• $w$: vector 2

Meaning §

• Result: in range [-1, 1]
• -1: opposite direction
• +1: same direction
• 0: orthogonal

🔗 Links

⚫️ Dot-product 📏 Vector length 〰️ Word embedding