arXiv:2411.01924cs.NIcs.AI2024-11中稿 · publication at IEE…被引 3

用可解释的KAN模型优化6G网络功率分配,兼顾公平与效率。

Fairness-Utilization Trade-off in Wireless Networks with Explainable Kolmogorov-Arnold Networks

  • 采用可解释的KAN模型替代传统DNN,降低推理开销。
  • 在动态环境中实现α-公平性,提升用户公平性与网络利用率。
  • 适合对公平性与实时性要求高的6G无线场景。

6G无线网络中用户发射功率的有效分配对技术进步至关重要。近期研究采用深度神经网络(DNNs)解决该问题,但常因公平性不足和计算效率低下而难以适用于依赖个体参与的未来动态服务。本文聚焦无线网络中的发射功率分配问题,旨在优化α-公平性以平衡网络利用率与用户公平性。提出一种基于科尔莫戈罗夫-阿诺德网络(KANs)的新方法,该类机器学习模型相较传统DNN具有更低的推理成本并具备更强可解释性。研究建立了完整的问题形式化,并证明了功率分配问题为NP-hard。进而提出两种算法用于数据集生成与分布式KAN训练,构建了灵活适配多种公平目标的框架。大量数值仿真表明,该方法在公平性和推理成本方面均具显著优势。结果验证了KAN在需快速适应与高公平性的场景中,对现有基于DNN方法局限性的突破潜力。

原文摘要 · Abstract (English)

The effective distribution of user transmit powers is essential for the significant advancements that the emergence of 6G wireless networks brings. In recent studies, Deep Neural Networks (DNNs) have been employed to address this challenge. However, these methods frequently encounter issues regarding fairness and computational inefficiency when making decisions, rendering them unsuitable for future dynamic services that depend heavily on the participation of each individual user. To address this gap, this paper focuses on the challenge of transmit power allocation in wireless networks, aiming to optimize $α$-fairness to balance network utilization and user equity. We introduce a novel approach utilizing Kolmogorov-Arnold Networks (KANs), a class of machine learning models that offer low inference costs compared to traditional DNNs through superior explainability. The study provides a comprehensive problem formulation, establishing the NP-hardness of the power allocation problem. Then, two algorithms are proposed for dataset generation and decentralized KAN training, offering a flexible framework for achieving various fairness objectives in dynamic 6G environments. Extensive numerical simulations demonstrate the effectiveness of our approach in terms of fairness and inference cost. The results underscore the potential of KANs to overcome the limitations of existing DNN-based methods, particularly in scenarios that demand rapid adaptation and fairness.

6G网络功率分配KAN公平性

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