Beta diffusion trees and hierarchical feature allocations

14 Aug 2014Creighton HeaukulaniDavid A. KnowlesZoubin Ghahramani

We define the beta diffusion tree, a random tree structure with a set of leaves that defines a collection of overlapping subsets of objects, known as a feature allocation. A generative process for the tree structure is defined in terms of particles (representing the objects) diffusing in some continuous space, analogously to the Dirichlet diffusion tree (Neal, 2003), which defines a tree structure over partitions (i.e., non-overlapping subsets) of the objects... (read more)

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