# Examples of Fat-Shattering Dimension

What are some good examples for analysis of a class's Fat-Shattering dimension?

By (Alon et al) I know that the Fat-Shattering Dimension characterizes the learnability of real-valued function classes but I didn't find any proper examples of function class with a proof for a bound on the Fat-Shattering Dimension of the class.

For $L$-Lipschitz functions on a metric space $(X,\rho)$ with $\epsilon$-packing number $M(\epsilon)$, the $\gamma$-shattering dimension is $M(2\gamma/L)$, as proved here: http://ieeexplore.ieee.org/document/6867374/
• The $\gamma$-shattering dimension of hyperplanes on a ball of radius $R$ is $(R/\gamma)^2$. – Aryeh Apr 1 '17 at 20:20