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arXiv · 2303.05695

Mode-locking Theory for Long-Range Interaction in Artificial Neural Networks

Xiuxiu Bai·Shuaishuai Zhao·Yao Gao·Zhe Liu
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Abstract

Visual long-range interaction refers to modeling dependencies between distant feature points or blocks within an image, which can significantly enhance the model's robustness. Both CNN and Transformer can establish long-range interactions through layering and patch calculations. However, the underlying mechanism of long-range interaction in visual space remains unclear. We propose the mode-locking theory as the underlying mechanism, which constrains the phase and wavelength relationship between waves to achieve mode-locked interference waveform. We verify this theory through simulation experiments and demonstrate the mode-locking pattern in real-world scene models. Our proposed theory of long-range interaction provides a comprehensive understanding of the mechanism behind this phenomenon in artificial neural networks. This theory can inspire the integration of the mode-locking pattern into models to enhance their robustness.

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Xiuxiu Bai, Shuaishuai Zhao, Yao Gao, Zhe Liu. 2023-03-10. Mode-locking Theory for Long-Range Interaction in Artificial Neural Networks. https://arxiv.org/abs/2303.05695

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