Answer the forthcoming questions. Ensure you subsistence your ideas delay JOURNAL references and to use emend APA7 references and citations delay any resigned brought into the assignment.  

1. For scanty facts, argue why because simply the influence of non-zero values ability concede a more servile sight of the objects than because the explicit magnitudes of values. When would such an path not be valuable?

2. Describe the veer in the date perplexity of K-means as the enumerate of clusters to be ground increases.

3. Argue the advantages and disadvantages of treating clustering as an optimization problem. Among other factors, attend teachableness, non-determinism, and whether an optimization-naturalized path captures all types of clusterings that are of profit.

4. What is the date and illimitableness perplexity of fuzzy c-means? Of SOM? How do these complexities collate to those of K-means?

5. Explain the contrariety betwixt likelihood and likelihood.

6. Concede an pattern of a set of clusters in which merging consistentized on the nearness of clusters leads to a more consistent set of clusters than merging consistentized on the ability of union (interconnectedness) of clusters.

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