Aug 2026· Zenodo (CERN European Organization for Nuclear Research)
Bayesian Modeling and Causal Inference
Abstract
Traditional methods for causal discovery often face challenges when dealing with intricate, high-dimensional datasets, frequently failing to accurately capture complex causal relationships. Furthermore, these methods typically lack the capability to simulate the consequences of interventions, hindering the ability to validate discovered causal structures and estimate their effects. This paper introduces a novel approach that integrates Graph Neural Networks (GNNs) with a dedicated simulation engine. The GNN learns the underlying graph structure from the data, establishing a representation of the causal relationships. Simultaneously, the simulation engine leverages this learned graph to model the impact of interventions – specifically, the addition or removal of edges – ultimately enabling the estimation of causal effects. This synergistic combination provides a robust framework for both discovering causal relationships and validating their accuracy through simulated interventions, addressing the limitations of existing causal discovery techniques. The proposed method offers a pathway to more reliable causal inference in complex systems.
This article presents a model predictive control (MPC) strategy for three-phase inverters based on locality preserving projections (LPPs). Unlike conventional machine learning–based MPC approaches that rely on predefined or high-dimensional input features, the proposed LPP-MPC automatically extracts compact, informative representations by preserving the data’s intrinsic geometric structure. This dimensionality reduction enables fast linear control-law evaluation with computational complexity O(1), making the controller well-suited for real-time implementation. Experimental results demonstrate that the LPP-MPC achieves lower total harmonic distortion (THD) and reduced tracking error compared to quadratic-programming MPC under both linear and nonlinear load conditions, and the proposed controller maintains consistently lower THD throughout load transients than other methods such as two-degree-of-freedom MPC. Compared to existing model-free MPC and deep learning neural network, the LPP-MPC has the lowest THD and root mean square error with the least computational time owing to its efficient linear structure and strong generalization capability.
Jianwu Zeng, Lizheng Cheng, V. Winstead et al.· IEEE transactions on power e...· 1 citation
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