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arXiv 1908.02995cs.CVcs.LG

Manifold Modeling in Embedded Space: A Perspective for Interpreting Deep Image Prior

Nagoya Institute of Technology(名古屋工业大学);RIKEN Center for Advanced Intelligence Project(理化学研究所先进智能项目中心);Skolkovo Institute of Science and Technology(斯科尔科沃科学技术研究所)

Tatsuya Yokota, Hidekata Hontani, Qibin Zhao, Andrzej Cichocki

英文摘要:

Deep image prior (DIP), which utilizes a deep convolutional network (ConvNet) structure itself as an image prior, has attracted attentions in computer vision and machine learning communities. It empirically shows the effectiveness of ConvNet structure for various image restoration applications. However, why the DIP works so well is still unknown, and why convolution operation is useful for image reconstruction or enhancement is not very clear. In this study, we tackle these questions. The proposed approach is dividing the convolution into ``delay-embedding'' and ``transformation (\ie encoder-decoder)'', and proposing a simple, but essential, image/tensor modeling method which is closely related to dynamical systems and self-similarity. The proposed method named as manifold modeling in embedded space (MMES) is implemented by using a novel denoising-auto-encoder in combination with multi-way delay-embedding transform. In spite of its simplicity, the image/tensor completion, super-resolution, deconvolution, and denoising results of MMES are quite similar even competitive to DIP in our extensive experiments, and these results would help us for reinterpreting/characterizing the DIP from a perspective of ``low-dimensional patch-manifold prior''.

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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