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arXiv · 2402.14775

Localised Natural Causal Learning Algorithms for Weak Consistency Conditions

Kai Z Teh·Kayvan Sadeghi·Terry Soo
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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.

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Kai Z Teh, Kayvan Sadeghi, Terry Soo. 2024-02-22. Localised Natural Causal Learning Algorithms for Weak Consistency Conditions. https://arxiv.org/abs/2402.14775

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