Distance
Mahalanobis Distance: covariance-adjusted distance accounting for inter-criterion correlations
Mahalanobis, P. C. · 1936
Overview
Distance (covariance-adjusted, correlation-aware). Output typically distance (lower value = preferred).
Strengths
- •Method-specific: Distance (covariance-adjusted, correlation-aware)
Method assistant
Grounded explanations: it explains the method, it does not compute.
Edge cases
- •See F.steps and D.parameters for MAHALANOBIS-DISTANCE-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.
Common pitfalls
- •Bkz. MAHALANOBIS-DISTANCE F.steps citation_anchor'lar ve P.verification_status.
Worked example
- 1.Adım 1 (F1): Compute the Mahalanobis Distance between vectors a and b. Formül: d_{Mah}(\mathbf{x},\boldsymbol{\mu}) = \sqrt{(\mathbf{x}-\boldsymbol{\mu})^\top \Sigma^{-1}(\mathbf{x}-\boldsymbol{\mu})} Anchor: Mahalanobis 1936 (statistical distance; pending PDF page verification)
How to cite
Mahalanobis, P. C. (1936). Mahalanobis Distance. Proceedings of the National Institute of Sciences of India.