arXiv:2603.27189stat.MEcs.LG2026-03被引 1

提出新框架诊断预测模型在局部子群体的覆盖偏差问题

Conformal Prediction Assessment: A Framework for Conditional Coverage Evaluation and Selection

  • 将条件覆盖率评估转化为监督学习,训练可靠性预测器
  • 设计CVI指标,可量化覆盖不足风险与过度覆盖成本
  • 实验证明能精准发现局部失效模式,适合选优预测模型

置信预测在交换性假设下可提供分布无关的有限样本边际覆盖率保证,但在特定子群体中可能系统性出现覆盖不足或过度覆盖。评估条件有效性困难,因传统分层方法受维度灾难制约。本文提出置信预测评估(CPA)框架,将条件覆盖率评估重构为监督学习任务,通过训练可靠性估计器预测实例级覆盖率概率。基于该估计器,引入条件有效性指数(CVI),将可靠性分解为安全(覆盖不足风险)与效率(过度覆盖成本)。我们建立了可靠性估计器的收敛速率,并证明了基于CVI的模型选择一致性。在合成与真实数据集上的大量实验表明,CPA能有效诊断局部失效模式,且我们提出的基于CVI的模型选择算法CC-Select始终能识别出具有更优条件覆盖率性能的预测器。

原文摘要 · Abstract (English)

Conformal prediction provides rigorous distribution-free finite-sample guarantees for marginal coverage under the assumption of exchangeability, but may exhibit systematic undercoverage or overcoverage for specific subpopulations. Assessing conditional validity is challenging, as standard stratification methods suffer from the curse of dimensionality. We propose Conformal Prediction Assessment (CPA), a framework that reframes the evaluation of conditional coverage as a supervised learning task by training a reliability estimator that predicts instance-level coverage probabilities. Building on this estimator, we introduce the Conditional Validity Index (CVI), which decomposes reliability into safety (undercoverage risk) and efficiency (overcoverage cost). We establish convergence rates for the reliability estimator and prove the consistency of CVI-based model selection. Extensive experiments on synthetic and real-world datasets demonstrate that CPA effectively diagnoses local failure modes and that CC-Select, our CVI-based model selection algorithm, consistently identifies predictors with superior conditional coverage performance.

置信预测条件覆盖模型评估

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