Aug 2026· Zenodo (CERN European Organization for Nuclear Research)
Abstract
This paper introduces a novel approach to modeling complex systems utilizing multi-scale graph neural networks (MS-GNNs). Complex systems, characterized by interconnected components operating at varying scales, pose significant challenges for traditional modeling techniques. This research proposes a framework that decomposes a complex system into sub-systems defined by their respective scales. Each sub-system is then represented as a graph, and a graph neural network (GNN) is applied to learn patterns and relationships within that scale. A key innovation lies in the multi-scale fusion mechanism, which intelligently integrates information from these GNNs at different scales, ultimately constructing a comprehensive representation of the entire system. The core claim is the design of an MS-GNN capable of capturing the interconnectedness of complex systems across multiple scales, facilitating accurate modeling and prediction. The proposed methodology offers a fundamentally new approach combining the strengths of graph neural networks and multi-scale analysis, paving the way for improved understanding and prediction of complex phenomena.
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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PhD student Rachel Sava, winner of the Envisioning the Future of Computing Prize, explores transformative improvements and dystopian risks of neural technology.