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hamming(u, v, w=None)

The Hamming distance between 1-D arrays u and v, is simply the proportion of disagreeing components in u and v. If u and v are boolean vectors, the Hamming distance is

$$\frac{c_{01} + c_{10}}{n}$$

where $c_{ij}$ is the number of occurrences of $\mathtt{u[k]} = i$ and $\mathtt{v[k]} = j$ for $k < n$ .

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

hamming : double

The Hamming distance between vectors u and v.

Compute the Hamming distance between two 1-D arrays.

Examples

>>> from scipy.spatial import distance
... distance.hamming([1, 0, 0], [0, 1, 0]) 0.66666666666666663
>>> distance.hamming([1, 0, 0], [1, 1, 0])
0.33333333333333331
>>> distance.hamming([1, 0, 0], [2, 0, 0])
0.33333333333333331
>>> distance.hamming([1, 0, 0], [3, 0, 0])
0.33333333333333331
See :

Back References

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

scipy.spatial.distance.hamming

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