共源问题下分数似然比的集成学习

Federico Veneri, Danica M. Ommen
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引用次数: 1

摘要

基于机器学习的分数似然比(slr)已经成为传统似然比和贝叶斯因子的替代品,用于在对比两个对立命题时量化证据的价值。当开发传统统计模型不可行的时候,机器学习可以用来为复杂数据构建一个(非)相似度分数,并估计分数的条件分布的比率。在共同来源问题下,如果两个项目来自同一来源,则对立命题解决。为了开发他们的单反,从业者从背景人口样本中使用两两比较创建数据集。这些比较导致了复杂的依赖结构,违背了许多流行方法所做的独立性假设。我们提出了一个重采样步骤来弥补这种独立性的缺乏,并提出了一个集成方法来提高单反系统的性能。首先,我们引入源感知重采样计划来构建满足独立性假设的数据集。使用这些新创建的集合,我们训练多个基本单反,并将它们的输出汇总为最终的证据值。我们的实验结果表明,这种集成单反方法在误导证据率和区分能力方面优于传统的单反方法,并且呈现出更一致的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Ensemble learning for score likelihood ratios under the common source problem
Machine learning‐based score likelihood ratios (SLRs) have emerged as alternatives to traditional likelihood ratios and Bayes factors to quantify the value of evidence when contrasting two opposing propositions. When developing a conventional statistical model is infeasible, machine learning can be used to construct a (dis)similarity score for complex data and estimate the ratio of the conditional distributions of the scores. Under the common source problem, the opposing propositions address if two items come from the same source. To develop their SLRs, practitioners create datasets using pairwise comparisons from a background population sample. These comparisons result in a complex dependence structure that violates the independence assumption made by many popular methods. We propose a resampling step to remedy this lack of independence and an ensemble approach to enhance the performance of SLR systems. First, we introduce a source‐aware resampling plan to construct datasets where the independence assumption is met. Using these newly created sets, we train multiple base SLRs and aggregate their outputs into a final value of evidence. Our experimental results show that this ensemble SLR can outperform a traditional SLR approach in terms of the rate of misleading evidence and discriminatory power and present more consistent results.
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