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arXiv 2307.16203cs.LGcs.CV

带零填充的深度卷积神经网络:特征提取与学习

Deep Convolutional Neural Networks with Zero-Padding: Feature Extraction and Learning

Shenyang Institute of Automation, Chinese Academy of Sciences(中国科学院沈阳自动化研究所);Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences(中国科学院机器人与智能制造创新研究院);Xi’an Jiaotong University(西安交通大学);University of Sydney(悉尼大学)

Zhi Han, Baichen Liu, Shao-Bo Lin, Ding-Xuan Zhou

AI总结:

本文研究带零填充的深度卷积神经网络(DCNNs),证明其在参数相似时可表示深度全连接网络,在特征提取上更具优势,并推导出其普适一致性与平移不变性,理论结果经数值实验验证。

摘要:

本文研究了带零填充的深度卷积神经网络(DCNNs)在特征提取与学习中的性能。在验证了零填充在实现平移等价性中的作用,以及池化在其平移不变性驱动本质中的作用后,我们表明,在自由参数数量相似的情况下,任何深度全连接网络(DFCNs)都可以由带零填充的DCNNs表示。这证明了带零填充的DCNNs在特征提取方面本质上优于DFCNs。因此,我们推导出带零填充的DCNNs的普适一致性,并展示了其在学习过程中的平移不变性。我们所有的理论结果均通过数值实验进行了验证,包括模拟仿真和真实数据运行。

英文摘要:

This paper studies the performance of deep convolutional neural networks (DCNNs) with zero-padding in feature extraction and learning. After verifying the roles of zero-padding in enabling translation-equivalence, and pooling in its translation-invariance driven nature, we show that with similar number of free parameters, any deep fully connected networks (DFCNs) can be represented by DCNNs with zero-padding. This demonstrates that DCNNs with zero-padding is essentially better than DFCNs in feature extraction. Consequently, we derive universal consistency of DCNNs with zero-padding and show its translation-invariance in the learning process. All our theoretical results are verified by numerical experiments including both toy simulations and real-data running.

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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