SciPy

scipy.spatial.distance.cosine

scipy.spatial.distance.cosine(u, v)[source]

Computes the Cosine distance between 1-D arrays.

The Cosine distance between u and v, is defined as

\[1 - \frac{u \cdot v} {||u||_2 ||v||_2}.\]

where \(u \cdot v\) is the dot product of \(u\) and \(v\).

Parameters:

u : (N,) array_like

Input array.

v : (N,) array_like

Input array.

Returns:

cosine : double

The Cosine distance between vectors u and v.