arXiv:2506.03602cs.LGcs.AI2025-06被引 3

用四参数贝塔分布自适应调整分类规则形状,提升可解释性与准确率。

Adapting Rule Representation With Four-Parameter Beta Distribution for Learning Classifier Systems

  • 引入四参数贝塔分布表示规则,灵活生成不同形状的决策边界。
  • 在真实数据集上测试准确率显著提升,规则集更紧凑。
  • 适合需要高可解释性的工业场景,如医疗诊断或金融风控。

规则表示显著影响学习分类系统(LCS)在搜索空间中的搜索能力与决策边界。然而,为每个问题选择合适的规则表示十分困难,且某些问题在输入空间的不同子区域中需使用不同的表示方式。因此,亟需一种自适应机制来为每个规则选择合适表示。本文提出一种基于四参数贝塔分布的灵活规则表示,并集成至模糊风格的LCS中。该分布能生成多种函数形态,使系统可自动为不同子空间选择最优表示。相比标准的梯形表示,本方法可通过调节四个参数实现矩形、钟形等多样化的决策边界。此外,系统设计了偏好清晰规则的泛化偏置,在不影响精度的前提下增强模型可解释性。在多个真实世界分类任务上的实验表明,本方法显著提升了测试准确率,并生成更紧凑的规则集。代码已公开于 https://github.com/YNU-NakataLab/Beta4-UCS。扩展摘要见 https://doi.org/10.36227/techrxiv.174900805.59801248/v1。

原文摘要 · Abstract (English)

Rule representations significantly influence the search capabilities and decision boundaries within the search space of Learning Classifier Systems (LCSs), a family of rule-based machine learning systems that evolve interpretable models through evolutionary processes. However, it is very difficult to choose an appropriate rule representation for each problem. Additionally, some problems benefit from using different representations for different subspaces within the input space. Thus, an adaptive mechanism is needed to choose an appropriate rule representation for each rule in LCSs. This article introduces a flexible rule representation using a four-parameter beta distribution and integrates it into a fuzzy-style LCS. The four-parameter beta distribution can form various function shapes, and this flexibility enables our LCS to automatically select appropriate representations for different subspaces. Our rule representation can represent crisp/fuzzy decision boundaries in various boundary shapes, such as rectangles and bells, by controlling four parameters, compared to the standard representations such as trapezoidal ones. Leveraging this flexibility, our LCS is designed to adapt the appropriate rule representation for each subspace. Moreover, our LCS incorporates a generalization bias favoring crisp rules where feasible, enhancing model interpretability without compromising accuracy. Experimental results on real-world classification tasks show that our LCS achieves significantly superior test accuracy and produces more compact rule sets. Our implementation is available at https://github.com/YNU-NakataLab/Beta4-UCS. An extended abstract related to this work is available at https://doi.org/10.36227/techrxiv.174900805.59801248/v1.

规则学习可解释性贝塔分布进化计算

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