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Gradient-Based Neural DAG Learning

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arxiv 1906.02226 v2 pith:C2NPTRQ7 submitted 2019-06-05 cs.LG stat.ML

Gradient-Based Neural DAG Learning

classification cs.LG stat.ML
keywords methodscontinuousdataexistinggreedylearningmethodneural
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables using neural networks. This extension allows to model complex interactions while avoiding the combinatorial nature of the problem. In addition to comparing our method to existing continuous optimization methods, we provide missing empirical comparisons to nonlinear greedy search methods. On both synthetic and real-world data sets, this new method outperforms current continuous methods on most tasks, while being competitive with existing greedy search methods on important metrics for causal inference.

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Cited by 13 Pith papers

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