dm.cs.tu-dortmund.de/en/mlbits/cluster-kmeans-initialization/
Initialization of k-means – Lecture Notes
_{j=1,\ldots ,i-1} \left\lVert \smash {x - c_j}\mathstrut \right\rVert ^2}{\sum _y\min _{j=1,\ldots ,i-1} \left\lVert \smash {y - c_j}\mathstrut \right\rVert ^2} & & \propto \min _{j=1,\ldots ,i-1} \left\lVert [...] \tfrac {\left\lVert \smash {x - c_1}\mathstrut \right\rVert ^2}{\sum _y \left\lVert \smash {y - c_1}\mathstrut \right\rVert ^2} = \tfrac {\left\lVert \smash {x - c_1}\mathstrut \right\rVert ^2}{\textu [...] x-y\right\rVert ^2\) .
\[\begin{alignat*}{3} \text{{\textcolor[RGB]{100,150,0}{1.}}}& \; \text{First center:}\qquad & p(c_1=x) & = \tfrac {\sum _y \left\lVert \smash {x-y}\mathstrut \right\rVert ^2}{\sum …