The Traveler's Restaurant Process --- A Better Description of the Dirichlet Process for Partitioning Sets

I. "Have Any of These People Ever Been to a Chinese Restaurant?" The Dirichlet process is a stochastic process that can be used to partition a set of elements into a set of subsets. In biological modeling, it is commonly used to assign elements into groups, such as molecular sequence sites into distinct rate categories. Very often, an intuitive explanation as to how it works invokes the "Chinese Restaurant Process"

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