论文标题
对决策树的证明是精确,简洁,有效的解释
Provably Precise, Succinct and Efficient Explanations for Decision Trees
论文作者
论文摘要
决策树(DTS)体现了可解释的分类器。 DT已被倡导在高风险应用程序中部署,但也用于解释其他复杂的分类器。然而,最近的工作表明,应该通过严格的方法来解释DTS中的预测。尽管可以在多项式时间内为DTS计算严格的解释,但它们的大小可能超出了人类决策者的认知限制。本文研究了DTS的δ相关集的计算。与δ相关的集合表示简洁且可证明精确的解释。这些集合代表了严格的解释的概括,这是概率上的精确性,因此它们可以使解释大小进行精确交换。本文提出了两个用于计算DTS最小δ相关集的逻辑编码。该论文进一步设计了用于计算δ相关集的多项式时间算法,该集合不能保证是亚集合的,但在实践中,实验表明最常见的是亚群。实验结果还证明了计算最小δ相关集的实践效率。
Decision trees (DTs) embody interpretable classifiers. DTs have been advocated for deployment in high-risk applications, but also for explaining other complex classifiers. Nevertheless, recent work has demonstrated that predictions in DTs ought to be explained with rigorous approaches. Although rigorous explanations can be computed in polynomial time for DTs, their size may be beyond the cognitive limits of human decision makers. This paper investigates the computation of δ-relevant sets for DTs. δ-relevant sets denote explanations that are succinct and provably precise. These sets represent generalizations of rigorous explanations, which are precise with probability one, and so they enable trading off explanation size for precision. The paper proposes two logic encodings for computing smallest δ-relevant sets for DTs. The paper further devises a polynomial-time algorithm for computing δ-relevant sets which are not guaranteed to be subset-minimal, but for which the experiments show to be most often subset-minimal in practice. The experimental results also demonstrate the practical efficiency of computing smallest δ-relevant sets.