arXiv:2504.21069cs.LG2025-04

改进随机向量函数链接网络,提升抗噪和抗异常值能力。

R^2VFL: A Robust Random Vector Functional Link Network with Huber-Weighted Framework

  • 引入赫伯权重与类别概率机制,动态降低异常数据影响。
  • 在47个UCI数据集上表现更优,分类准确率显著提升。
  • 适用于生物医学信号等含噪实际场景,如脑电信号分类。

随机向量函数链接(RVFL)神经网络在克服传统人工神经网络计算耗时长、解不优等问题方面展现出巨大潜力。然而,当面对噪声和异常值时,由于假设所有数据样本贡献相等,RVFL表现受限。为此,本文提出一种新型鲁棒框架R2VFL,通过引入赫伯权重函数与类别概率机制,有效缓解训练数据中噪声和异常值的影响,增强模型鲁棒性与适应性。赫伯权重函数抑制异常值影响,类别概率机制则对噪声点赋予较低权重,使模型更具韧性。本文探索了两种计算类别中心的方法:简单平均法与各特征中位数法,后者通过最小化极端值影响提供稳健替代方案。由此衍生出两个新模型:R2VFL-A与R2VFL-M。我们在47个UCI数据集(涵盖二分类与多分类任务)上进行广泛评估,并开展严格的统计检验,结果验证了所提模型的优越性。特别地,模型在脑电(EEG)信号分类中表现出色,凸显其在真实生物医学领域的应用价值。

原文摘要 · Abstract (English)

The random vector functional link (RVFL) neural network has shown significant potential in overcoming the constraints of traditional artificial neural networks, such as excessive computation time and suboptimal solutions. However, RVFL faces challenges when dealing with noise and outliers, as it assumes all data samples contribute equally. To address this issue, we propose a novel robust framework, R2VFL, RVFL with Huber weighting function and class probability, which enhances the model's robustness and adaptability by effectively mitigating the impact of noise and outliers in the training data. The Huber weighting function reduces the influence of outliers, while the class probability mechanism assigns less weight to noisy data points, resulting in a more resilient model. We explore two distinct approaches for calculating class centers within the R2VFL framework: the simple average of all data points in each class and the median of each feature, the later providing a robust alternative by minimizing the effect of extreme values. These approaches give rise to two novel variants of the model-R2VFL-A and R2VFL-M. We extensively evaluate the proposed models on 47 UCI datasets, encompassing both binary and multiclass datasets, and conduct rigorous statistical testing, which confirms the superiority of the proposed models. Notably, the models also demonstrate exceptional performance in classifying EEG signals, highlighting their practical applicability in real-world biomedical domain.

神经网络鲁棒学习分类生物医学

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