Web: http://arxiv.org/abs/2209.08037

Sept. 19, 2022, 1:12 a.m. | Kevin Bello, Bryon Aragam, Pradeep Ravikumar

stat.ML updates on arXiv.org arxiv.org

The combinatorial problem of learning directed acyclic graphs (DAGs) from
data was recently framed as a purely continuous optimization problem by
leveraging a differentiable acyclicity characterization of DAGs based on the
trace of a matrix exponential function. Existing acyclicity characterizations
are based on the idea that powers of an adjacency matrix contain information
about walks and cycles. In this work, we propose a $\textit{fundamentally
different}$ acyclicity characterization based on the log-determinant (log-det)
function, which leverages the nilpotency property of DAGs. …


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