用图形探针发现深度网络逐步构建2D→2.5D→3D视觉表征
Revisiting Marr in Face: The Building of 2D--2.5D--3D Representations in Deep Neural Networks
- 设计可灵活处理2D/2.5D/3D的图形探针,分析网络中间层表征
- 低层为2D表征,高层生成3D表征,中层呈现类2.5D几何特征
- 首次实证深度网络符合马尔视觉理论,适合认知科学与神经网络研究者
David Marr的视觉理论提出人类视觉系统通过2D草图、2.5D草图和3D模型三个阶段运作。尽管近年来深度神经网络(DNN)被认为已接近人类视觉水平,但其内部机制是否遵循马尔理论仍不清楚。本文通过感知任务探究此问题,引入一种图形探针——一个可重构原始图像的子网络,其架构支持2D、3D及二者之间的过渡状态。将该探针注入神经网络,分析其在不同层级的重建行为,发现低层编码为2D表示,高层形成3D表示,而中层表现出一种介于两者间的混合状态:在狭窄深度范围内构建法向量几何表示,类似浮雕效果。这一阶段对应马尔理论中的2.5D表征,揭示了网络从2D到3D的演进过程。图形探针因此成为窥探DNN机制的工具,为马尔理论提供了实证支持。
原文摘要 · Abstract (English)
David Marr's seminal theory of vision proposes that the human visual system operates through a sequence of three stages, known as the 2D sketch, the 2.5D sketch, and the 3D model. In recent years, Deep Neural Networks (DNN) have been widely thought to have reached a level comparable to human vision. However, the mechanisms by which DNNs accomplish this and whether they adhere to Marr's 2D--2.5D--3D construction theory remain unexplored. In this paper, we delve into the perception task to explore these questions and find evidence supporting Marr's theory. We introduce a graphics probe, a sub-network crafted to reconstruct the original image from the network's intermediate layers. The key to the graphics probe is its flexible architecture that supports image in both 2D and 3D formats, as well as in a transitional state between them. By injecting graphics probes into neural networks, and analyzing their behavior in reconstructing images, we find that DNNs initially encode images as 2D representations in low-level layers, and finally construct 3D representations in high-level layers. Intriguingly, in mid-level layers, DNNs exhibit a hybrid state, building a geometric representation that s sur normals within a narrow depth range, akin to the appearance of a low-relief sculpture. This stage resembles the 2.5D representations, providing a view of how DNNs evolve from 2D to 3D in the perception process. The graphics probe therefore serves as a tool for peering into the mechanisms of DNN, providing empirical support for Marr's theory.
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