arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.14716cs.CVcs.LG

CNN特征图的空间变换无法支持不变性识别

Inability of spatial transformations of CNN feature maps to support invariant recognition

KTH Royal Institute of Technology(瑞典皇家理工学院)

Ylva Jansson, Maksim Maydanskiy, Lukas Finnveden, Tony Lindeberg

AI总结:

本文证明CNN特征图的空间变换无法实现一般仿射变换下的不变性识别,除非特征本身不变,仅对旋转反射在特定网络下有效。

摘要:

大量深度学习架构使用CNN特征图或滤波器的空间变换,以更好地处理自然图像变换引起的外观变异性。本文证明,对于一般的仿射变换,CNN特征图的空间变换无法将变换后图像的特征图与原始图像的特征图对齐,除非提取的特征本身具有不变性。我们的证明基于对单层和多层网络情形的初等分析。结果表明,基于CNN特征图或滤波器空间变换的方法不能替代输入图像对齐,也不能实现对一般仿射变换的不变性识别,特别是对缩放变换和剪切变换。对于旋转和反射,空间变换特征图或滤波器可以实现不变性,但仅限于具有学习或硬编码的旋转或反射不变性特征的网络。

英文摘要:

A large number of deep learning architectures use spatial transformations of CNN feature maps or filters to better deal with variability in object appearance caused by natural image transformations. In this paper, we prove that spatial transformations of CNN feature maps cannot align the feature maps of a transformed image to match those of its original, for general affine transformations, unless the extracted features are themselves invariant. Our proof is based on elementary analysis for both the single- and multi-layer network case. The results imply that methods based on spatial transformations of CNN feature maps or filters cannot replace image alignment of the input and cannot enable invariant recognition for general affine transformations, specifically not for scaling transformations or shear transformations. For rotations and reflections, spatially transforming feature maps or filters can enable invariance but only for networks with learnt or hardcoded rotation- or reflection-invariant features

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。

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