In the field of federated learning, addressing non-independent and identically distributed (non-i.i.d.) data remains a quintessential challenge for improving global model performance. This work introduces the Feature Norm Regularized Federated Learning (FNR-FL) algorithm, which uniquely incorporates class average feature norms to enhance model accuracy and convergence in non-i.i.d. scenarios. Our comprehensive analysis reveals that FNR-FL not only accelerates convergence but also significantly surpasses other contemporary federated learning algorithms in test accuracy, particularly under feature distribution skew scenarios. The novel modular design of FNR-FL facilitates seamless integration with existing federated learning frameworks, reinforcing its adaptability and potential for widespread application. We substantiate our claims through rigorous empirical evaluations, demonstrating FNR-FL's exceptional performance across various skewed data distributions. Relative to FedAvg, FNR-FL exhibits a substantial 66.24\% improvement in accuracy and a significant 11.40\% reduction in training time, underscoring its enhanced effectiveness and efficiency.

在联邦学习领域，解决非独立同分布的数据问题一直是提高全局模型性能的一个重要挑战。本文提出了特征范数正则化联邦学习（FNR-FL）算法，通过独特地结合类平均特征范数来增强在非独立同分布场景下的模型准确性和收敛性。我们的综合分析发现，相比其他现代联邦学习算法，FNR-FL不仅加快了收敛速度，而且在特征分布不均衡的情况下显著提高了测试准确率。FNR-FL的新颖模块化设计使其能与现有的联邦学习框架无缝集成，增强了其适应性和广泛应用的潜力。我们通过严格的实证评估确证了我们的论述，展示了FNR-FL在各种不均衡数据分布下的出色性能。相较于FedAvg，FNR-FL的准确率提升了66.24％，训练时间显著减少了11.40％，凸显了其提高效果和效率的优势。

特征标准化正则化的联邦学习：将不均衡的分布转化为全局洞察