arXiv:2409.04290cs.LGcs.AI2024-09被引 47

用可解释的KAN网络提升生存分析模型性能与透明度

CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysis

  • 将Kolmogorov-Arnold网络引入生存分析,实现高精度与可解释性统一
  • 在9个真实数据集上优于传统Cox模型(最高提升4% C-index)
  • 能自动发现变量间复杂交互关系并生成符号公式,适合医学决策场景

生存分析是医学中预测关键事件(如死亡或复发)发生时间的重要统计方法,有助于优化治疗策略。但现有模型常在性能与可解释性之间权衡:深度学习模型表现好却难以解释,传统模型透明但能力有限。本文提出CoxKAN,一种基于柯尔莫哥洛夫-阿诺德网络(KAN)的可解释生存分析模型。我们在四个合成数据集和九个真实数据集(含五个临床队列与四个基因组数据集)上评估该模型。合成实验表明,CoxKAN能准确恢复危险函数的可解释公式,并实现自动特征选择;真实数据实验显示,其性能持续优于传统Cox模型(最高提升4% C-index),且与深度学习模型相当甚至更优。更重要的是,CoxKAN揭示了预测变量间的复杂交互,并推导出符号表达式,为理解关键生物标志物对患者风险的影响提供了清晰洞见。代码与资源已开源。

原文摘要 · Abstract (English)

Motivation: Survival analysis is a branch of statistics that is crucial in medicine for modeling the time to critical events such as death or relapse, in order to improve treatment strategies and patient outcomes. Selecting survival models often involves a trade-off between performance and interpretability; deep learning models offer high performance but lack the transparency of more traditional approaches. This poses a significant issue in medicine, where practitioners are reluctant to use black-box models for critical patient decisions. Results: We introduce CoxKAN, a Cox proportional hazards Kolmogorov-Arnold Network for interpretable, high-performance survival analysis. Kolmogorov-Arnold Networks (KANs) were recently proposed as an interpretable and accurate alternative to multi-layer perceptrons. We evaluated CoxKAN on four synthetic and nine real datasets, including five cohorts with clinical data and four with genomics biomarkers. In synthetic experiments, CoxKAN accurately recovered interpretable hazard function formulae and excelled in automatic feature selection. Evaluations on real datasets showed that CoxKAN consistently outperformed the traditional Cox proportional hazards model (by up to 4% in C-index) and matched or surpassed the performance of deep learning-based models. Importantly, CoxKAN revealed complex interactions between predictor variables and uncovered symbolic formulae, which are key capabilities that other survival analysis methods lack, to provide clear insights into the impact of key biomarkers on patient risk. Availability and implementation: CoxKAN is available at GitHub and Zenodo

生存分析可解释模型KAN医学AI

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