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Informed Greedy Algorithm for Scalable Bayesian Network Fusion via Minimum Cut Analysis

  • This paper presents the Greedy Min-Cut Bayesian Consensus (GMCBC) algorithm for the structural fusion of Bayesian Networks (BNs).
  • GMCBC integrates principles from flow network theory into BN fusion, adapting the Backward Equivalence Search (BES) phase of the Greedy Equivalence Search (GES) algorithm and applying the Ford-Fulkerson algorithm for minimum cut analysis.
  • Experimental results on synthetic Bayesian Networks demonstrate that GMCBC achieves near-optimal network structures.
  • In federated learning simulations, GMCBC produces a consensus network that improves structural accuracy and dependency preservation compared to the average of the input networks, resulting in a structure that better captures the real underlying (in)dependence relationships.

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