Answer the following questions. Please ensure to use the Author, YYYY APA citations with any content brought into the assignment.For      sparse data, discuss why considering only the presence of non-zero values      might give a more accurate view of the objects than considering the actual      magnitudes of values. When would such an approach not be desirable?Describe      the change in the time complexity of K-means as the number of clusters to      be found increases.Discuss      the advantages and disadvantages of treating clustering as an optimization      problem. Among other factors, consider efficiency, non-determinism, and      whether an optimization-based approach captures all types of clusterings      that are of interest.What      is the time and space complexity of fuzzy c-means? Of SOM? How do these complexities      compare to those of K-means?Explain      the difference between likelihood and probability.Give      an example of a set of clusters in which merging based on the closeness of      clusters leads to a more natural set of clusters than merging based on the      strength of connection (interconnectedness) of clusters.

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