4 ms·
Isoperimetric inequalities are fundamental IMHO. They bridge the gap between theory and practice for eg. resp. the behavior of the Lipschitz constants and batc
by rq1 3y ago
Isoperimetric inequalities are fundamental IMHO.
They bridge the gap between theory and practice for eg. resp. the behavior of the Lipschitz constants and batch normalization.
- Donald 3y agoDo you have any examples?
- rq1 3y agohttps://proceedings.neurips.cc/paper_files/paper/2018/file/905056c1ac1dad141560467e0a99e1cf-Paper.pdf https://proceedings.neurips.cc/paper_files/paper/2018/file/9... For the relationship between concentration of the measure and this: the main theorems of concentration generalise the CLT beyond the additive case, for any lipschitz operator over iid vars, the first i can even be relaxed. You can find online, works by eg. Gromov and his students for a deeper understanding.