Machine Learning, Clustering, Gaussian Mixture Model.
from the left hand side and right hand side of Eq 1, we can arrive at Eq 2. Then, artificially multiply and divide by q(z), we get Eq3. Taking logarithms on both sides of Eq 3 yields Eq 4. Computing the expectation of both sides with respect to q(z), we get: Now, we need the help of Jensen’s