Aug 2026· Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Neural Networks
Abstract
Graph representation learning has emerged as a crucial technique in various domains, including social network analysis, drug discovery, and recommendation systems. However, many existing methods struggle to effectively capture long-range dependencies within graphs, leading to suboptimal representations. This paper introduces a novel approach to graph representation learning based on Contrastive Predictive Coding (CPC). We leverage the inherent predictive structure of graphs by training models to predict future nodes based on their contextual information. This allows us to learn representations that are sensitive to long-range relationships. Our method, CPC-Graph, utilizes a recurrent neural network to encode the graph structure and predict future nodes, minimizing the difference between predicted and actual representations. We demonstrate the effectiveness of CPC-Graph through theoretical analysis and the formulation of key equations, showcasing its ability to capture dependencies efficiently. The core claim of this work is that existing graph representation learning methods often struggle to capture long-range dependencies. This new method employs Contrastive Predictive Coding (CPC) to address this issue, providing a robust solution for learning graph representations.
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.
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