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New k-order relaxation method enhances Markov blanket discovery

Researchers have introduced a novel approach to discover Markov blankets (MBs) by relaxing the faithfulness assumption, which is commonly violated by higher-order dependencies like XOR relations. This new method, termed k-order relaxation, captures parity-type relationships among k+2 variables. A proof-of-concept algorithm, k-order Markov blanket (kOMB), has been developed to leverage this relaxation for MB discovery. Empirical results demonstrate kOMB's effectiveness in recovering MBs even when faced with true or empirical violations of faithfulness. AI

IMPACT Enhances understanding of graphical models and feature selection, potentially improving performance in complex causal discovery tasks.

RANK_REASON The item is a research paper published on arXiv detailing a new algorithmic method for a specific machine learning task. [lever_c_demoted from research: ic=1 ai=1.0]

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New k-order relaxation method enhances Markov blanket discovery

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The item is a research paper published on arXiv detailing a new algorithmic method for a specific machine learning task. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Loong Kuan Lee, Ragavi Krishnamoorthy, Nico Piatkowski ·

    High-Order Markov Blanket Discovery via a k-Order Relaxation of the Faithfulness Assumption

    arXiv:2607.26357v1 Announce Type: cross Abstract: The problem of learning the graphical Markov blanket (MB) of a variable from data has applications in many areas such as structure learning for Bayesian networks and Markov random fields, causal discovery, and feature selection. H…