Lecture 11 : EM

Hello, I am unsure how to get the update parameters $$\mu_{k}^{(t+1)}$$
, i.e. I try to derive L_Bar with respect to $$\mu{k}$$, but I don't know how you derive it, because there's the covariance term that disappears in the final answer and a denominator that appears for a reason I don't understand.

Can anyone show me the steps to get there please?

(For reference, it's lecture 11 part 2, around 37:10)

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