Clustering a.j.m.m. (ton) weijters The main idea is to define k centroids, one for each cluster (Example from a K-clustering tutorial of Teknomo, K.

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Presentation transcript:

Clustering a.j.m.m. (ton) weijters The main idea is to define k centroids, one for each cluster (Example from a K-clustering tutorial of Teknomo, K. )

Example A trainer of a running group has 220 runners. For practical reasons, he likes to split up the group in 8 homogenous sub groups that can perform more or less the same training program. Think about relevant properties: Running distance during Cooper test Weight...

K-means clustering K-means (MacQueen, 1967) is one of the simplest unsupervised learning algorithms that solve the well known clustering problem. The procedure follows a simple and easy way to classify a given data set through a certain number of clusters (assume k clusters) fixed a priori.

Steps of the algorithm Determine K centroids (randomly?) Iterate until stable (= no object move group) Determine the distance of each object to the centroids Group the object based on minimum distance When all objects have been assigned, recalculate the positions of the K centroids

Example The numerical example below is given to understand this simple iteration Objectattribute 1 (X): attribute 2 (Y): Medicine A11 Medicine B21 Medicine C43 Medicine D54

K=2 Centronic 1 = (1,1) Centronic 2 = (2,1)

For example, distance from medicine C = (4, 3) to the first centroid is and its distance to the second centroid is, etc. Medicine C belongs to centroid C2

The two groups are C1 = {A}, C2 ={B,C,D} Calculate new C1 and C2. New C1 = old C1

C1={A,B}, C2={C,D}

Important Issues Normalization (age, weight, distance Cooper- test) Nominal attributes (male, female) Weighting