用符号方程学习实现可解释分类,效率高且结果透明。
ECSEL: Explainable Classification via Signomial Equation Learning
- 通过符号方程直接构建可读的分类表达式
- 在基准测试中恢复更多目标方程,计算量更小
- 适合需要透明决策与可解释性的实际场景
我们提出ECSEL,一种基于符号方程学习的可解释分类方法。该方法受启发于许多符号回归基准问题具有紧凑的符号方程结构这一观察。ECSEL直接构建结构化、闭合形式的表达式,既作为分类器又提供解释。在标准符号回归基准上,该方法比现有最先进方法恢复了更大比例的目标方程,同时计算开销显著更低。借助此高效性,ECSEL在不牺牲可解释性的前提下,实现了与成熟机器学习模型相当的分类准确率。此外,我们证明了ECSEL在全局特征行为、决策边界分析和局部特征归因方面满足若干理想性质。在基准数据集及两个真实世界案例(电商与欺诈检测)上的实验表明,学习得到的方程能揭示数据偏见,支持反事实推理,并生成可操作的洞察。
原文摘要 · Abstract (English)
We introduce ECSEL, an explainable classification method that learns formal expressions in the form of signomial equations, motivated by the observation that many symbolic regression benchmarks admit compact signomial structure. ECSEL directly constructs a structural, closed-form expression that serves as both a classifier and an explanation. On standard symbolic regression benchmarks, our method recovers a larger fraction of target equations than competing state-of-the-art approaches while requiring substantially less computation. Leveraging this efficiency, ECSEL achieves classification accuracy competitive with established machine learning models without sacrificing interpretability. Further, we show that ECSEL satisfies some desirable properties regarding global feature behavior, decision-boundary analysis, and local feature attributions. Experiments on benchmark datasets and two real-world case studies i.e., e-commerce and fraud detection, demonstrate that the learned equations expose dataset biases, support counterfactual reasoning, and yield actionable insights.
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