# Fat shattering dimension

Discussion in 'Education' started by b.omega, Oct 8, 2018.

1. ### b.omegaGuest

I was reading about fat shattering dimension, but I got stuck while trying to solve problems. I was trying to determine the $\alpha$ fat shattering dimension of the function class $F$ = { $f$ : $\mathbb{R}$ -> $\mathbb{R}$ such that $f(x) ={\sum_{k=-m}^m c_k \left(sin kx \right)}$ , $c_k$ $\in$ $\mathbb{R}$ }, where $\alpha$ $>$ $0$ and $m$ $\in$ $\mathbb{N}$. I would really appreciate some help, also recommending literature/links.

Thank you.