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arXiv 2302.04054cs.LGcs.AIcs.CLstat.APstat.ML
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迈向机器学习研究的推断可复现性

Towards Inferential Reproducibility of Machine Learning Research

Heidelberg University(海德堡大学)

Michael Hagmann, Philipp Meier, Stefan Riezler

AI总结:

针对机器学习评估中现有去噪做法限制结论范围的问题,研究提出纳入多种方差来源及与数据属性的交互,用LMEMs、GLRT和VCA开展统计分析,以实现推断层面的可复现性。

摘要:

机器学习评估的可靠性——即重复模型训练运行中观测到的评估分数的一致性——受到多种可被视为测量噪声的非确定性来源的影响。当前为了强制实现研究结果的可复现性而去除噪声的趋势,忽视了实现层面的固有非确定性,也忽略了算法噪声因子与数据属性之间关键的交互效应,这限制了可从此类实验中得出的结论的范围。我们并未去除噪声,而是提出将多种方差来源(包括它们与数据属性的交互作用)纳入机器学习评估的显著性与可靠性分析中,旨在得出超越已训练模型特定实例的推论。我们展示了如何使用线性混合效应模型(LMEMs,linear mixed effects models)分析性能评估分数,并通过广义似然比检验(GLRT,generalized likelihood ratio test)开展统计推断。这使我们能够将元参数变化等任意噪声来源纳入统计显著性检验,并评估以数据属性为条件的性能差异。此外,方差成分分析(VCA,variance component analysis)可用于分析各噪声来源对总方差的贡献,并通过实质方差与总方差的比值计算可靠性系数。

英文摘要:

Reliability of machine learning evaluation -- the consistency of observed evaluation scores across replicated model training runs -- is affected by several sources of nondeterminism which can be regarded as measurement noise. Current tendencies to remove noise in order to enforce reproducibility of research results neglect inherent nondeterminism at the implementation level and disregard crucial interaction effects between algorithmic noise factors and data properties. This limits the scope of conclusions that can be drawn from such experiments. Instead of removing noise, we propose to incorporate several sources of variance, including their interaction with data properties, into an analysis of significance and reliability of machine learning evaluation, with the aim to draw inferences beyond particular instances of trained models. We show how to use linear mixed effects models (LMEMs) to analyze performance evaluation scores, and to conduct statistical inference with a generalized likelihood ratio test (GLRT). This allows us to incorporate arbitrary sources of noise like meta-parameter variations into statistical significance testing, and to assess performance differences conditional on data properties. Furthermore, a variance component analysis (VCA) enables the analysis of the contribution of noise sources to overall variance and the computation of a reliability coefficient by the ratio of substantial to total variance.

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