MATH590: Cluster analysis (SET)

Module overview

Set theory is the mathematical study of collections of objects. It plays a particularly important role within mathematics since almost all other mathematical constructs can be define in terms of set theory. Set theory, rather than real analysis, is a foundational system for mathematics.

Clustering is a qualitative data analysis technique that seeks to combine observations into “similar” groups.

• Multiple centroid methods ($k$-means, $k$-medoids)

• Hierarchical clustering

• Density clustering

• PDF clustering