🤖 AI Summary
This work addresses the challenge of jointly learning causal structure and Markov blankets (MBs) in high-dimensional nonlinear systems. We propose the first differentiable coupled modeling framework that simultaneously infers the causal graph and the MB for each variable via end-to-end learning. Our method integrates neural function approximation, Gumbel-Softmax discrete sampling, mutual information regularization, and gradient estimation techniques—enabling uncertainty quantification. Methodologically, it unifies causal discovery and MB learning into a single differentiable objective, breaking from conventional two-stage paradigms. On standard benchmark datasets, our approach achieves a 12% improvement in structural F1 score and MB identification AUC exceeding 0.93, significantly enhancing both accuracy and interpretability of causal inference. The implementation is publicly available, providing a unified toolkit for developing and evaluating novel causal algorithms.