# Similarity and Dissimilarity Measures

In this post we introduce some similarity and dissimilarity measures. Most content come from the Data Mining from Vipin Kumar at University of Minnesota.

## Distances

- Euclidean Distance
- Minkowski Distance
- Mahalanobis Distance

Common Properties of a Distance

## Similarity Between Binary Vectors

SMC versus Jaccard

Jaccard: Compute the overlap proportion.

## Others

Cosine Similarity: a measure of similarity between two non-zero vectors of an inner product space that measures the cosine of the angle between them, **independent of magnitude**.

Correlations (linear relation)

## Information based metrics

Mutual Information

Maximal Information Coefficient