arXiv:2609.02422cs.LG2026-09

提出新型广义学习系统,提升对噪声和异常值的鲁棒性。

IFW-BLS: Dual-Robust Broad Learning System with Intuitionistic Fuzzy Wave Loss

论文配图:IFW-BLS: Dual-Robust Broad Learning System with Intuitionistic Fuzzy Wave Loss
图 1 · 摘自论文原文
  • 用波动损失替代平方损失,限制极端残差影响。
  • 引入直觉模糊评分,动态降低不可靠样本权重。
  • 在UCI数据集上优于传统模型,抗噪抗异常表现更稳定。

广义学习系统(BLS)是一种高效的随机学习模型,通过特征节点和增强节点扩展网络宽度,并在无需深层反向传播的情况下估计输出权重。然而,其标准最小二乘训练对两类问题敏感:(i) 噪声、异常值或标签污染导致的大残差会主导目标函数;(ii) 所有样本均被视为同等可靠,即使部分位于模糊或局部冲突区域。本文提出IFW-BLS,一种基于直觉模糊波损失的双鲁棒广义学习系统,统一建模解决上述两类脆弱性。第一种机制为残差级保护:以有界、光滑且非对称的波损失替代平方损失,有界性防止极端残差获得无界影响,非对称性允许正负偏差根据主导误差方向差异化惩罚。第二种机制为样本级可信度控制:通过结合全局类别中心一致性与局部邻域冲突的直觉模糊评分,对不可靠样本进行加权降权。最终模型在可信度加权残差上计算波损失,使不可靠样本在先降权后进一步受有界损失抑制。采用基于Nesterov加速梯度的优化器求解目标函数,避免传统BLS中的显式矩阵求逆。在UCI基准数据集上的实验验证了所提方法优于基线模型;额外的污染实验也表明,在噪声和异常值干扰下,IFW-BLS性能更稳定。

原文摘要 · Abstract (English)

Broad Learning System is an efficient randomized learning model that expands network width through feature and enhancement nodes and estimates the output weights without deep backpropagation. Its standard least-squares training, however, is vulnerable in two different ways: (i) large residuals caused by noise, outliers, or corrupted labels can dominate the objective, and (ii) all samples are treated as equally reliable even when some lie in ambiguous or locally conflicting regions. This paper proposes IFW-BLS, an Intuitionistic Fuzzy Wave Broad Learning System that addresses these two sources of fragility within one optimization model. The first robustness mechanism is residual-level protection, obtained by replacing the squared loss with the bounded, smooth, and asymmetric wave loss. Boundedness prevents extreme residuals from receiving unbounded influence, while asymmetry allows positive and negative deviations to be penalized differently when the dominant error direction varies. The second mechanism is sample-level credibility control, obtained through intuitionistic fuzzy scores that combine global class-center consistency with local neighborhood conflict. The resulting model evaluates the wave loss on credibility-weighted residuals, so unreliable samples are down-weighted before the bounded loss further limits the effect of extreme errors. A Nesterov accelerated gradient based optimizer is used to solve the proposed objective, avoiding the explicit matrix inversion used in conventional BLS. Experiments on UCI benchmark datasets validate the superiority of the proposed IFW-BLS model over the baseline models; additional corruption experiments also show more stable performance than BLS under noise and outlier contamination.

广义学习鲁棒学习波动损失直觉模糊

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