马氏距离计算一个点到一个参考分布的距离。马氏距离的优点是不受各个维度特征尺度的影响(尺度无关)。
d2 = mahal(Y, X)
returns the squared Mahalanobis distance of each observation in d2
= mahal(Y
,X
)Y
to the reference samples in X
.
返回Y中每个点相对于参考分布X的马氏平方距离。即Y_i与分布p(mu, cov)的距离,这里mu, cov通过X进行估计。
The Mahalanobis distance is a measure between a sample point and a distribution.
The Mahalanobis distance from a vector y to a distribution with mean μ and covariance Σ is
This distance represents how far y is from the mean in number of standard deviations.
mahal
returns the squared Mahalanobis distance d2 from an observation in Y
to the reference samples in X
. In the mahal
function, μ and Σ are the sample mean and covariance of the reference samples, respectively.
因此,计算一个向量中各点(或向量)到自身分布的马氏平方距离表示为:
d2 = mahal(X, X)