- Jamie Callan, W. Xu, Yi Zhang. 2002. Exact Maximum Likelihood Estimation for Word Mixtures. Abstract: The mixture model for generating document is a generative language model used in information retrieval. While using this model, there are situations that we need to find the maximum likelihood estimation of the density of one multinomial, given fixed mixture weight and the densities of the other multinomial. In this paper, we provide an exact solution and a quick algorithm to solve this problem. The new algorithm is guaranteed to find the exact optimal result, at a fast speed. More over, some interesting properties of the solution are discussed.
