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Analysis

This paper addresses a critical challenge in federated causal discovery: handling heterogeneous and unknown interventions across clients. The proposed I-PERI algorithm offers a solution by recovering a tighter equivalence class (Φ-CPDAG) and providing theoretical guarantees on convergence and privacy. This is significant because it moves beyond idealized assumptions of shared causal models, making federated causal discovery more practical for real-world scenarios like healthcare where client-specific interventions are common.
Reference

The paper proposes I-PERI, a novel federated algorithm that first recovers the CPDAG of the union of client graphs and then orients additional edges by exploiting structural differences induced by interventions across clients.