From 8bbec34b4b42af38fb8b8bdd800f98bed8004b6b Mon Sep 17 00:00:00 2001 From: JIMMY ZHAO Date: Wed, 9 Oct 2024 10:15:51 -0400 Subject: [PATCH] Update chapter3.md --- docs/chapter3.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/docs/chapter3.md b/docs/chapter3.md index c5231b5..affdf1a 100644 --- a/docs/chapter3.md +++ b/docs/chapter3.md @@ -50,7 +50,9 @@ $$ \Re_{\mathcal Z}(\mathcal F)=E_{Z\subset\mathcal Z:|Z|=m}\left[E_{\sigma}\left[\underset{f\in\mathcal F}{\sup}\frac{1}{m} \sum_{i=1}^m \sigma_i f(z_i)\right]\right] \end{equation} $$ -其中$\sigma_i$是服从均匀分布的随机变量。假设空间$\mathcal H$的Rademacher复杂度上界为： +其中$\sigma_i$是服从均匀分布的随机变量。 + +假设空间$\mathcal H$的Rademacher复杂度上界为： $$ \begin{equation} \Re_m(\mathcal H)\leqslant\sqrt{\frac{2\ln\Pi_{\mathcal H}(m)}{m}}