🤖 AI Summary
Modeling dynamic, non-stationary causal structures in complex systems remains challenging due to evolving temporal dependencies and heterogeneous causal mechanisms. Method: This paper proposes the first differentiable time-varying causal graph synthesis framework for end-to-end learning of dynamic causal mechanisms with time lags and conditional dependencies. It integrates structural equation models, neural differential equations, and temporal graph neural networks, incorporating a learnable time-varying adjacency matrix and a causal lag mask to explicitly capture the evolution and heterogeneity of temporal causality. Contribution/Results: The method achieves a 12.6% improvement in causal discovery accuracy across multiple benchmark datasets. Moreover, it enables controllable generation of counterfactual time series and fine-grained prediction of intervention responses, establishing a unified, differentiable paradigm for dynamic causal inference and generation.