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arXiv 2403.07072cs.LGeess.SP
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基于高斯过程的可解释学习

Explainable Learning with Gaussian Processes

Stony Brook University(石溪大学)

Kurt Butler, Guanchao Feng, Petar M. Djuric

AI总结:

本研究提出在高斯过程回归中利用闭式表达和积分梯度进行特征归因,并证明归因遵循高斯过程分布,量化不确定性,且比近似方法更准确高效。

摘要:

可解释人工智能(XAI)领域致力于开发能够揭示复杂机器学习模型如何做出预测的方法。许多解释方法聚焦于特征归因的概念,即将模型的预测分解为每个输入特征对应的单独贡献。在本工作中,我们探讨了高斯过程回归(GPR)背景下的特征归因问题。我们采用一种原则性的方法,在模型不确定性下定义归因,扩展了现有文献。我们表明,尽管GPR是一种高度灵活的非参数方法,我们仍能推导出可解释的、闭式表达的特征归因。当使用积分梯度作为归因方法时,我们证明GPR模型的归因也遵循高斯过程分布,这量化了由模型不确定性引起的归因不确定性。我们通过理论和实验展示了该方法的通用性和鲁棒性。我们还表明,在适用的情况下,GPR归因的精确表达式比当前实践中使用的近似方法更准确且计算成本更低。该项目的源代码在MIT许可下免费提供,网址为https://github.com/KurtButler/2024_attributions_paper。

英文摘要:

The field of explainable artificial intelligence (XAI) attempts to develop methods that provide insight into how complicated machine learning methods make predictions. Many methods of explanation have focused on the concept of feature attribution, a decomposition of the model's prediction into individual contributions corresponding to each input feature. In this work, we explore the problem of feature attribution in the context of Gaussian process regression (GPR). We take a principled approach to defining attributions under model uncertainty, extending the existing literature. We show that although GPR is a highly flexible and non-parametric approach, we can derive interpretable, closed-form expressions for the feature attributions. When using integrated gradients as an attribution method, we show that the attributions of a GPR model also follow a Gaussian process distribution, which quantifies the uncertainty in attribution arising from uncertainty in the model. We demonstrate, both through theory and experimentation, the versatility and robustness of this approach. We also show that, when applicable, the exact expressions for GPR attributions are both more accurate and less computationally expensive than the approximations currently used in practice. The source code for this project is freely available under MIT license at https://github.com/KurtButler/2024_attributions_paper.

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