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用于基于频率正则化的图像重建的与架构无关的未训练网络先验

Architecture-Agnostic Untrained Network Priors for Image Reconstruction with Frequency Regularization.

作者信息

Liu Yilin, Pang Yunkui, Li Jiang, Chen Yong, Yap Pew-Thian

机构信息

Computer Science, University of North Carolina at Chapel Hill.

Radiology, Case Western Reserve University.

出版信息

Comput Vis ECCV. 2025;15072:341-358. doi: 10.1007/978-3-031-72630-9_20. Epub 2024 Dec 5.

Abstract

Untrained networks inspired by deep image priors have shown promising capabilities in recovering high-quality images from noisy or partial measurements . Their success is widely attributed to implicit regularization due to the spectral bias of suitable network architectures. However, the application of such network-based priors often entails superfluous architectural decisions, risks of overfitting, and lengthy optimization processes, all of which hinder their practicality. To address these challenges, we propose efficient architecture-agnostic techniques to directly modulate the spectral bias of network priors: 1) bandwidth-constrained input, 2) bandwidth-controllable upsamplers, and 3) Lipschitz-regularized convolutional layers. We show that, with , we can reduce overfitting in underperforming architectures and close performance gaps with high-performing counterparts, minimizing the need for extensive architecture tuning. This makes it possible to employ a more model to achieve performance similar or superior to larger models while reducing runtime. Demonstrated on inpainting-like MRI reconstruction task, our results signify for the first time that architectural biases, overfitting, and runtime issues of untrained network priors can be simultaneously addressed without architectural modifications. Our code is publicly available .

摘要

受深度图像先验启发的未经训练的网络在从噪声或部分测量中恢复高质量图像方面展现出了有前景的能力。它们的成功广泛归因于合适网络架构的频谱偏差所导致的隐式正则化。然而,这种基于网络的先验的应用通常需要多余的架构决策、过拟合风险以及冗长的优化过程,所有这些都阻碍了它们的实用性。为了应对这些挑战,我们提出了有效的与架构无关的技术来直接调节网络先验的频谱偏差:1)带宽受限输入,2)带宽可控的上采样器,以及3)利普希茨正则化卷积层。我们表明,通过这些方法,我们可以减少表现不佳的架构中的过拟合,并缩小与高性能对应架构的性能差距,将广泛的架构调整需求降至最低。这使得可以采用更精简的模型来实现与更大模型相似或更优的性能,同时减少运行时间。在类似图像修复的磁共振成像重建任务中得到验证,我们的结果首次表明,未经训练的网络先验的架构偏差、过拟合和运行时间问题可以在不进行架构修改的情况下同时得到解决。我们的代码已公开可用。

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