variance, then the Mahalanobis distance corresponds to standard Euclidean distance in the transformed space. The Mahalanobis distance is thus unitless,...

Chandra Mahalanobis OBE, FNA, FASc, FRS (29 June 1893– 28 June 1972) was an Indian scientist and statistician. He is best remembered for the Mahalanobis distance...

Mahalanobis distance (proof). Specifically, for some n × p {\displaystyle n\times p} matrix X {\displaystyle \mathbf {X} } , the squared Mahalanobis distance...

Damerau–Levenshtein distance Euclidean distance Gap-Hamming problem Gray code Jaccard index Levenshtein distance Mahalanobis distance Mannheim distance Sørensen...

to a multiplicative factor, the squared Mahalanobis distance is a special case of the Bhattacharyya distance when the two classes are normally distributed...

distance) to be used for linear inverse problems in inference by optimization theory. Other important statistical distances include the Mahalanobis distance...

also known as the Kantorovich metric, or earth mover's distance Mahalanobis distance Amari distance Integral probability metrics generalize several metrics...

}}^{-1}({\mathbf {x} }-{\boldsymbol {\mu }})}}} is known as the Mahalanobis distance, which represents the distance of the test point x {\displaystyle {\mathbf {x} }}...

network On a matrix form the previous is often approximated as a Mahalanobis distance for a linear space as δ ⁡ ( x ( i ) , x ( j ) ) ≈ ( x ( i ) − x (...

matrix, is S {\displaystyle \mathbf {S} } ), this generalizes to the Mahalanobis distance between the two distributions: d ′ = ( μ a − μ b ) ′ Σ − 1 ( μ a...