Expectation Maximization

Expectation Maximization is a technique to infer the parameters of a statistical model and the underlying intuition is that an optimal parametrized statistical model will give a highest probability to the training data on which it is trained. It consists of the expectation or E- step in which the log likelihood probability is calculated based on the current estimate of the parameters and the hidden (latent) variables and a maximization or M-step in which the value of the parameters is updated to increase the maximum value of the likelihood function. EM can be used to discover a local maxima for the log-likelihood function.

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Expectation-maximization_algorithm