Mahalanobis Classifiers

Some of the limitations of simple minimum-Euclidean distance classifiers can be overcome by using a Mahalanobis metric. In particular, this can often solve problems caused by poorly scaled and/or highly correlated features.

We will develop the Mahalanobis metric indirectly by considering the effects of scaling and linear transformations on data for which the Euclidean metric is appropriate. The following topics are covered:
  1. Mean and variance
  2. Scaling
  3. Linear transformations
  4. Covariance
  5. Covariance matrix
  6. Mahalanobis metric
  7. Linear discriminants again

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