Amazing, Inc. plans to open $k=2$ stores in Megacity and has $n=4$ customers located at positions $x^{(i)}$ as shown by circles in the plot below. The initial guesses for the store locations $\left(\mu^{(j)}\right)$ are marked by triangles in the plot.
The loss function to minimize is:
$$L(\mu)=\sum_{i=1}^n \min _{j \in\{1, \ldots, k\}}\left\|x^{(i)}-\mu^{(j)}\right\|^2$$
$\text { What is the starting loss } L(\mu) \text { ? }$
