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machine-learning-notes's Issues

Variational Inference 存在的小笔误

首先感谢徐老师的视频和PPT,逻辑清晰,容易理解,帮助我省了很多的时间。
在学习《Variational Inference》时,根据我的理解发现ppt 的几处笔误,具体如下:

  1. 第8页ppt <Simplification of (Part 2)> : 第三行公式 q_i(Z_i) ln(q_i(Z_i)) => q_j(Z_j) ln(q_j(Z_j))
  2. 第9页ppt <Putting Part(1) and Part(2) together > : " would be some ln[p(Z_i)] " => " would be some ln[p(Z_j)] "
  3. 第9页ppt <Putting Part(1) and Part(2) together > : -KL{ E_(i≠j)[ ln( p(X,Z) ) ] || q_i(Z_i)} => -KL{ E_(i≠j)[ ln( p(X,Z) ) ] || q_j(Z_j)}
  4. 第9页ppt <Putting Part(1) and Part(2) together >最后一个公式 : ln( q*_i(Z_i) ) = E_(i≠j)ln( p(X,Z)) => ln( q*_j(Z_j) ) = E_(i≠j)ln( p(X,Z))

若以上4处“笔误” 有不对的地方,还请帮助指正

二维码

老师,您可以更新一下二维码吗,非常期待听您的课 , 谢谢!

qr is expired

Hi, Dr Xu, the QR code you posted is expired, can you please upload a new version?

The EM code

Prof Xu said that he already published his code of Paper Geometrically-constrained balloon fitting for multiple
connected ellipses, and I'd like to debug it, but how can I get the code?

卡尔曼滤波后两节推导是不是有点问题呀?

先贴一下课程视频徐亦达机器学习:Kalman Filter 卡尔曼滤波,大概到7分13秒左右在推导$x_{t}|y_{1},...,y_{t-1}$时,使用了$P(x_{t}|x_{t-1})=N(Hx+B,Q)$这个公式,但是$x_{t}|y_{1},...,y_{t-1}$是基于条件$y_{1},...,y_{t-1}$而不是基于条件$x_{t},y_{1},...,y_{t-1}$因此不应该使用$P(x_{t}|x_{t-1})=N(Hx+B,Q)$这个公式直接求$x_{t}|y_{1},...,y_{t-1}$,而应该使用视频右上角的边缘积分去求

Variational Inference的一些问题

在求ln⁡(q_j^* (Z_j))时,
ln⁡(q_j^* (Z_j))=E_(i≠j) [ln⁡(p(X,Z))]
在右侧计算时为什么只考虑与Zj有关的项,而将其他项直接去掉?例如,对于高斯函数,推导了:
ln⁡(q_μ^* (μ))=E_(q_τ ) [ln⁡(p(μ,τ│D)) ]
=-(E_(q_τ ) [τ])/2 [∑_(i=1)^n▒〖(x_i-μ)^2+λ_0 (μ-μ_0 )〗^2 ]+const
这个常数项其实是关于τ的函数,即可以写成:
ln⁡(q_μ^* (μ))=-(E_(q_τ ) [τ])/2 [∑_(i=1)^n▒〖(x_i-μ)^2+λ_0 (μ-μ_0 )〗^2 ]+f(τ)
我觉得这个常数项不能直接忽略,因为:
ln⁡(q_τ^* (τ))=E_(q_μ ) [ln⁡(p(μ,τ│D)) ]
在求解ln⁡(q_τ^* (τ))时用到q_μ^* (μ),则q_μ^* (μ)中含有τ的项不能忽略,这样理解有什么问题吗。

EM 第11页的疑问

EM算法ppt第11页,对EM收敛 证明中的 Q函数以及H函数的推导有点疑惑 个人感觉 ln[p(x|theta)] 应该等于 ln[p(z,x|theta)]-ln[p(z|x,theta)]

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