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cosine(u, v, w=None)

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.

w : (N,) array_like, optional

The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

Returns

cosine : double

The Cosine distance between vectors u and v.

Compute the Cosine distance between 1-D arrays.

Examples

>>> from scipy.spatial import distance
... distance.cosine([1, 0, 0], [0, 1, 0]) 1.0
>>> distance.cosine([100, 0, 0], [0, 1, 0])
1.0
>>> distance.cosine([1, 1, 0], [0, 1, 0])
0.29289321881345254
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.spatial.distance.cosine

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GitHub : /scipy/spatial/distance.py#635
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