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I am working in a mixture model with expectation propagation. When I am trying to compute the normalizing constant, z_i, I have an integral that is not closed form.
My integral looks as follows:
B_j is a continuous value that is usually << 1. The mean, and variance are known values. The EDCM distribution is a bounded Dirichlet-multinomial distribution. This will result in a discrete discrete distribution since EDCM is discrete.