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- W2922093207 abstract "We introduce a new class of identifiable DAG models where the conditional distribution of each node given its parents belongs to a family of generalized hypergeometric distributions (GHD). A family of generalized hypergeometric distributions includes a lot of discrete distributions such as the binomial, Beta-binomial, negative binomial, Poisson, hyper-Poisson, and many more. We prove that if the data drawn from the new class of DAG models, one can fully identify the graph structure. We further present a reliable and polynomial-time algorithm that recovers the graph from finitely many data. We show through theoretical results and numerical experiments that our algorithm is statistically consistent in high-dimensional settings (p >n) if the indegree of the graph is bounded, and out-performs state-of-the-art DAG learning algorithms." @default.
- W2922093207 created "2019-03-22" @default.
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- W2922093207 date "2019-04-11" @default.
- W2922093207 modified "2023-10-16" @default.
- W2922093207 title "Identifiability of Generalized Hypergeometric Distribution (GHD) Directed Acyclic Graphical Models" @default.
- W2922093207 hasPublicationYear "2019" @default.
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