Given a set of data points as input Randomly assign each point to one of the k clusters Repeat until convergence – Calculate model of each of the k clusters.

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Presentation transcript:

Given a set of data points as input Randomly assign each point to one of the k clusters Repeat until convergence – Calculate model of each of the k clusters – Assign each point to the cluster with the closest model k-means Clustering Algorithm

k-means Clustering Example

Randomly assign each point to one of the clusters k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Assign each point to closest cluster center k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Assign each point to closest cluster center k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Calculate center of each cluster k-means Clustering Example

Convergence k-means Clustering Example

Does k-means always work?