Assignment

1. What is the time and space complexity of fuzzy c-means? Of SOM? How do these complexities compare to those of K-means? 

2. Compare the membership weights and probabilities of Figures 1 and 2, which come, respectively, from applying fuzzy and EM clustering to the same set of data points. What differences do you detect, and how might you explain these differences? 

3. Discuss techniques for combining multiple anomaly detection techniques to improve the identification of anomalous objects. Consider both supervised and unsupervised cases.