diff --git a/Record/DL/Loss.md b/Record/DL/Loss.md index 1276eee..8e7ff68 100644 --- a/Record/DL/Loss.md +++ b/Record/DL/Loss.md @@ -1 +1,13 @@ +# 熵 +随机变量$X = \{x_1,x_2,...,x_i\}$,对应的概率为$p_i = p(X = x_i)$,则熵为 +$$ +H(X) = - \sum_{i=1}^{n}p(x_i) \log p(x_i) +$$ +> $p(x_i)=0$时,$p(x_i)logp(x_i)=0$ + +# 交叉熵 +$$ +H(p,q) = \sum_x p(x) \frac{1}{q(x)}=-\sum_x p(x) \log q(x) +$$ +> 表示对预测分布$q(x)$使用真实分布$p(x)$来进行编码时所需要的信息量大小。 # KL散度