# scipy.spatial.distance.mahalanobis¶

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

Computes the Mahalanobis distance between two 1-D arrays.

The Mahalanobis distance between 1-D arrays u and v, is defined as

$\sqrt{ (u-v) V^{-1} (u-v)^T }$

where V is the covariance matrix. Note that the argument VI is the inverse of V.

Parameters: u : (N,) array_like Input array. v : (N,) array_like Input array. VI : ndarray The inverse of the covariance matrix. mahalanobis : double The Mahalanobis distance between vectors u and v.

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