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• To acquire a better understanding of clustering methods.
• To learn to implement K-means for clustering.
• To learn to implement Fuzzy Clustering EM for clustering.
• To learn to use a DBSCAN model for clustering.
Clustering Methods
You are required to implement the three clustering methods and report the cost time. Please employ euclidean distance as the distance metric.
• K-means You are required to implement the clustering method K-means by yourself. You are not allowed to use any existing K-means package (But basic computation package is okay, eg., Numpy, Scipy). You should test your algorithm with different K values, K ∈ {2, 10, 20, 30}.
• Fuzzy Clustering EM You are required to implement the Fuzzy clustering method by using the EM algorithm (reference to slides 11ClusAdvanced.pdf). You are not allowed to use any existing EM package (But basic computation package is okay, eg., Numpy, Scipy). Please test your algorithm by setting K = 2.
• DBSCAN You are required to use the DBSCAN model for clustering. You may use the DBSCAN model implemented by scikit learn. Please test your model on the dataset by setting � = 0.12 and M inP ts = 3.