AIMar 27, 2013

d-Separation: From Theorems to Algorithms

arXiv:1304.1505v116 citations
Originality Synthesis-oriented
AI Analysis

This provides a fast method for probabilistic inference in Bayesian networks, which is incremental as it builds on existing d-separation theory.

The paper tackles the problem of efficiently identifying all independencies implied by the topology of a Bayesian network, resulting in an algorithm that runs in O(|E|) time where E is the number of edges.

An efficient algorithm is developed that identifies all independencies implied by the topology of a Bayesian network. Its correctness and maximality stems from the soundness and completeness of d-separation with respect to probability theory. The algorithm runs in time O (l E l) where E is the number of edges in the network.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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