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Main Authors: Liu, Linghai, Tong, Shuaicheng, Zhao, Lisa
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2402.02065
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author Liu, Linghai
Tong, Shuaicheng
Zhao, Lisa
author_facet Liu, Linghai
Tong, Shuaicheng
Zhao, Lisa
contents Recent efforts in applying implicit networks to solve inverse problems in imaging have achieved competitive or even superior results when compared to feedforward networks. These implicit networks only require constant memory during backpropagation, regardless of the number of layers. However, they are not necessarily easy to train. Gradient calculations are computationally expensive because they require backpropagating through a fixed point. In particular, this process requires solving a large linear system whose size is determined by the number of features in the fixed point iteration. This paper explores a recently proposed method, Jacobian-free Backpropagation (JFB), a backpropagation scheme that circumvents such calculation, in the context of image deblurring problems. Our results show that JFB is comparable against fine-tuned optimization schemes, state-of-the-art (SOTA) feedforward networks, and existing implicit networks at a reduced computational cost.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02065
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Training Implicit Networks for Image Deblurring using Jacobian-Free Backpropagation
Liu, Linghai
Tong, Shuaicheng
Zhao, Lisa
Machine Learning
Recent efforts in applying implicit networks to solve inverse problems in imaging have achieved competitive or even superior results when compared to feedforward networks. These implicit networks only require constant memory during backpropagation, regardless of the number of layers. However, they are not necessarily easy to train. Gradient calculations are computationally expensive because they require backpropagating through a fixed point. In particular, this process requires solving a large linear system whose size is determined by the number of features in the fixed point iteration. This paper explores a recently proposed method, Jacobian-free Backpropagation (JFB), a backpropagation scheme that circumvents such calculation, in the context of image deblurring problems. Our results show that JFB is comparable against fine-tuned optimization schemes, state-of-the-art (SOTA) feedforward networks, and existing implicit networks at a reduced computational cost.
title Training Implicit Networks for Image Deblurring using Jacobian-Free Backpropagation
topic Machine Learning
url https://arxiv.org/abs/2402.02065