Kamillo Ferry

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1 Paper

MLMay 1, 2025
Inference for max-linear Bayesian networks with noise

Mark Adams, Kamillo Ferry, Ruriko Yoshida

Max-Linear Bayesian Networks (MLBNs) provide a powerful framework for causal inference in extreme-value settings; we consider MLBNs with noise parameters with a given topology in terms of the max-plus algebra by taking its logarithm. Then, we show that an estimator of a parameter for each edge in a directed acyclic graph (DAG) is distributed normally. We end this paper with computational experiments with the expectation and maximization (EM) algorithm and quadratic optimization.