I am reading the tutorial below:
http://pages.cs.wisc.edu/~jerryzhu/pub/sslicml07.pdf
Now I suffer a problem on page38 (38/135)
I have no idea why they are equal.
Can someone help me to prove of this?
Really Thanks
2026-04-07 22:55:18.1775602518
Probability of The EM algorithm for GMM
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This is just an application of Bayes rule and total probability:
$$P(Y|X) = P(X, Y) / P(X)$$
But $p(x) = \sum_y p(x, y)$ by total probability.