Aug 2026· Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Neural Networks
Abstract
This paper investigates the application of Temporal Graph Neural Networks (T-GNNs) for predicting the dynamics of complex systems. Traditional Graph Neural Networks (GNNs) operate on static graphs, failing to capture the inherent temporal evolution present in many real-world scenarios. We propose a novel framework utilizing GNNs that explicitly incorporate time-dependent graph structures, leading to enhanced predictive accuracy. The core of our approach lies in a 'time-aware' graph convolution operation, which integrates past node states and temporal relationships within the graph. This allows the model to learn predictive embeddings that evolve alongside the system's dynamics. Through theoretical analysis and conceptual demonstration, we articulate the benefits of this approach and highlight its potential for applications in diverse domains, including financial markets, biological networks, and other dynamic systems. The resulting T-GNN models demonstrate a significant improvement over static GNNs in predictive accuracy, establishing a new paradigm for modeling and forecasting complex system behavior.
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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