I am trying to interpret the 2-Wasserstein distance and the upper bound on it. Let's say I have 2-Wasserstein distance between two distributions to be $x$, and I have an upper bound on it which gives me $100x$. How do I interpret this upper bound i.e. is this too loose or how good is it?
For example, if the value of $x$ is $0.01$ then $100x$ would be $1$ but is $1$ a significant value? Is $1$ as bad as $100$ if we look on a relative scale?
I am not sure what is the best way to evaluate the upper bound and interpret it.