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Roy, Marco Battiston, Stefano Favaro, Yee Whye Teh","submitted_at":"2016-07-07T16:07:09Z","abstract_excerpt":"We characterize the class of exchangeable feature allocations assigning probability $V_{n,k}\\prod_{l=1}^{k}W_{m_{l}}U_{n-m_{l}}$ to a feature allocation of $n$ individuals, displaying $k$ features with counts $(m_{1},\\ldots,m_{k})$ for these features. Each element of this class is parametrized by a countable matrix $V$ and two sequences $U$ and $W$ of non-negative weights. Moreover, a consistency condition is imposed to guarantee that the distribution for feature allocations of $n-1$ individuals is recovered from that of $n$ individuals, when the last individual is integrated out. 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