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Localised Natural Causal Learning Algorithms for Weak Consistency Conditions
Proceedings of the Fortieth Conference on Uncertainty in Artificial Intelligence, PMLR 244:3345-3355, 2024.
Abstract
By relaxing conditions for {“}natural{”} structure learning algorithms, a family of constraint-based algorithms containing all exact structure learning algorithms under the faithfulness assumption, we define localised natural structure learning algorithms (LoNS). We also provide a set of necessary and sufficient assumptions for consistency of LoNS, which can be thought of as a strict relaxation of the restricted faithfulness assumption. We provide a practical LoNS algorithm that runs in exponential time, which is then compared with related existing structure learning algorithms, namely PC/SGS and the relatively recent Sparsest Permutation algorithm. Simulation studies are also provided.