# (Homework Solution): How can they see "can see two large clusters and one small cluster on the diagonal"?

How can they see “can see two large clusters and one small cluster on the diagonal”? Data scientist please. Please also explain in detail

Question 4c) Adapt the iris example to produce a VAT heatmap of the australian crabs dataset. How many clusters are there? In [48]: crab sall – pd.read_csv(‘australian-crabs.c sv’) print (crabsall.shape) crabsall.head (5) (200, 8) Out [48]: Blue Male Blue Male Blue Male 3 Blue Male Blue Male species sex index FL RW CL CW BD 1 8.1 6.7 16.1 19.0 7.0 2 8.8 7.7 18.1 20.8 7.4 3 9.2 7.8 19.0 22.4 7.7 4 9.6 7.9 20.1 23.1 8.2 5 9.8 8.0 20.3 23.0 8.2 In [46]: ###Answer 4c crabsall -pd.read Csv(‘australian-crabs.csv’) crabs-crabsall[[ FL, RW’, ‘CL’, CW, BD ]] crabs_std-crabs RV, R, IVAT (crabs_std) x sns . heatmap(RV, стар-“viridis. xticklabels-False, x.set(xlabel-‘Objects’, ylabel-‘Objects’) plt.show) yticklabels-False) #can see two Large clusters and one small cluster on the diagonal. 50 40 30 20 10

A heat map is a graphical way of displaying a table of numbers by using colours to represent the numerical values. The clustering algorithm groups related rows and/or columns together by similarity. A heat map can thus be interpreted as showing the relative similarity of points within the data. This means that the points with high similarity values – relative to others– will be given a “hot” colour, while those that are lower similarity– again, relative to the other present numbers – will be given a “cold” colour.

Thus, looking closely at the heat map provided, you will see that the elements at the diagonal are most dark which is obvious pertaining to the similarity of a point to itself. Further, the points which are more similar to each other is also coloured in dark blue. Since a similarity matrix is symmetric, the similarity of points leads to a square around diagonal. Thus, you can see from the given heatmap that there are three squares around the diagonal- out of which two are larger and the third one is small.

Note that the heat map in this context just gives a rough idea about selecting the number of clusters only and the actual number of clusters may vary a bit.

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