Hidden Markov Model.md

![[Pasted image 20240601121718.png]]![[Pasted image 20240601121731.png]]![[Pasted image 20240601121747.png]]![[Pasted image 20240601121757.png]]

隐马尔可夫模型的形式

![[Pasted image 20240601121825.png]]![[Pasted image 20240601121833.png]]

三个假设

![[Pasted image 20240601121935.png]]

与[[Markov Model]]的区别

![[Pasted image 20240601122001.png]]

三个基本问题

![[Pasted image 20240601122416.png]]

问题1 评估问题

![[Pasted image 20240601122457.png]]

解答方法1

![[Pasted image 20240601150610.png]]![[Pasted image 20240601150650.png]]![[Pasted image 20240601150712.png]]

解答方法2 前向算法

简单的动态规划 ![[Pasted image 20240601150734.png]] ![[Pasted image 20240601151050.png]]![[Pasted image 20240601151151.png]]

解答方法3 后向算法

![[Pasted image 20240601151407.png]]![[Pasted image 20240601151606.png]]![[Pasted image 20240601151614.png]]

问题2 解码问题

![[Pasted image 20240601151732.png]] ![[Pasted image 20240601152001.png]]

Viterbi Algorithm

![[Pasted image 20240601152028.png]]![[Pasted image 20240601153048.png]]![[Pasted image 20240601153115.png]]![[Pasted image 20240601153200.png]] 应该也只是简单的动态规划

问题3 学习问题

![[Pasted image 20240601153559.png]] ![[Pasted image 20240601153618.png]]![[Pasted image 20240601153706.png]] 前向-后向算法 ![[Pasted image 20240601153712.png]] ![[Pasted image 20240601153720.png]] EM ![[Pasted image 20240601153728.png]]

应用

• 病情转化 ![[Pasted image 20240601153910.png]]
• 词性标注 ![[Pasted image 20240601153935.png]]

总结

![[Pasted image 20240601154015.png]] ![[Pasted image 20240601154023.png]]