How to find Optimal K with K-means Clustering ? The Elbow and Silhouette methods

[@irishe6702]

The explanation of concepts with mathematical formulas is very impressive. Thank you!

[@gauravkapoor1566]

Thanks , great explanation on Silhoutte score.

[@mohsinkhalid2375]

How can you find the converging point in elbow criterion not visually but mathematically?

[@raylandmagalhaes1462]

Thanks for the wonderful explanation!

[@antonyjoy5494]

I have a doubt!!
Suppose if we have 3 clusters- X,Y,Z
In one cluster X, we take a point from 0-N such as for example 6. Hence we calculate a(6).
What happens in b(6) ? Is b(6) calculated by taking the avg distance from point 6 to all other points in just the nearest neighboring cluster(Y) or both the other clusters Y,Z?

[@thatcolinbloke]

Really helpful, thnks!