arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2209.11222cs.LGcs.AI
收藏

概念激活区:一个基于概念推理的通用框架

Concept Activation Regions: A Generalized Framework For Concept-Based Explanations

University of Cambridge(剑桥大学);The Alan Turing Institute(艾伦·图灵研究所);UCLA(加州大学洛杉矶分校)

Jonathan Crabbé, Mihaela van der Schaar

摘要:

基于概念的解释允许通过用户指定的概念的镜头来理解深度神经网络(DNN)的预测。现有的方法假设说明概念的示例被映射在DNN的潜在空间的固定方向上。当这成立时,概念可以由指向该方向的概念激活向量(CAV)表示。在这项工作中,我们建议通过允许概念示例分散在DNN潜在空间中的不同集群来放松这一假设。然后,每个概念由DNN的潜在空间的一个区域表示,该区域包括这些聚类,我们称之为概念激活区域(CAR)。为了形式化这个想法,我们引入了一个扩展的CAV形式主义,是基于核技巧和支持向量分类器。该CAR形式主义产生基于全局概念的解释和基于局部概念的特征重要性。我们证明了用径向核建立的CAR解释在潜在空间等距下是不变的。通过这种方式,CAR将相同的解释分配给具有相同几何形状的潜在空间。我们进一步实证证明,CAR提供(1)更准确地描述概念如何分散在DNN的潜在空间中;(2)更接近人类概念注释的全局解释和(3)基于概念的特征重要性,使概念相互之间有意义地联系起来。最后,我们使用CAR来证明DNN可以自主地重新发现已知的科学概念,例如前列腺癌分级系统。

英文摘要:

Concept-based explanations permit to understand the predictions of a deep neural network (DNN) through the lens of concepts specified by users. Existing methods assume that the examples illustrating a concept are mapped in a fixed direction of the DNN's latent space. When this holds true, the concept can be represented by a concept activation vector (CAV) pointing in that direction. In this work, we propose to relax this assumption by allowing concept examples to be scattered across different clusters in the DNN's latent space. Each concept is then represented by a region of the DNN's latent space that includes these clusters and that we call concept activation region (CAR). To formalize this idea, we introduce an extension of the CAV formalism that is based on the kernel trick and support vector classifiers. This CAR formalism yields global concept-based explanations and local concept-based feature importance. We prove that CAR explanations built with radial kernels are invariant under latent space isometries. In this way, CAR assigns the same explanations to latent spaces that have the same geometry. We further demonstrate empirically that CARs offer (1) more accurate descriptions of how concepts are scattered in the DNN's latent space; (2) global explanations that are closer to human concept annotations and (3) concept-based feature importance that meaningfully relate concepts with each other. Finally, we use CARs to show that DNNs can autonomously rediscover known scientific concepts, such as the prostate cancer grading system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑