From a687c67dc3ee8a45dc6350f8b49aa51e98dbf681 Mon Sep 17 00:00:00 2001
From: Rain&Bus <rainandbus@gmail.com>
Date: Tue, 30 Apr 2024 18:23:13 +0800
Subject: [PATCH] vault backup: 2024-04-30 18:23:13

---
 Record/DL/Loss.md | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/Record/DL/Loss.md b/Record/DL/Loss.md
index 2b4412d..9ea15b8 100644
--- a/Record/DL/Loss.md
+++ b/Record/DL/Loss.md
@@ -20,4 +20,7 @@ $$
 KL散度有以下性质：
 1. 正定性：$D_{KL}(p||q) \ge 0$
 2. 非对称性：$D_{KL}(p||q) \ne D_{KL}(q||p)$
-3. 
\ No newline at end of file
+## 一维高斯分布的KL散度
+$$
+KL(p,q) = \log \frac{\sigma_2}{\sigma_1} + \frac{\sigma_1^2 + (\mu_1 - \mu_2)^2}{2\sigma_2^2} - \frac{1}{2}
+$$