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Various iterative reconstruction algorithms for inverse problems can be unfolded as neural networks. Empirically, this approach has often led to improved results, but theoretical guarantees are still scarce. While some progress on…

统计理论 · 数学 2021-08-16 Arash Behboodi , Holger Rauhut , Ekkehard Schnoor

Deep image prior (DIP) is a recently proposed technique for solving imaging inverse problems by fitting the reconstructed images to the output of an untrained convolutional neural network. Unlike pretrained feedforward neural networks, the…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Kevin Zhang , Mingyang Xie , Maharshi Gor , Yi-Ting Chen , Yvonne Zhou , Christopher A. Metzler

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

图像与视频处理 · 电气工程与系统科学 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Modern digital cameras rely on the sequential execution of separate image processing steps to produce realistic images. The first two steps are usually related to denoising and demosaicking where the former aims to reduce noise from the…

计算机视觉与模式识别 · 计算机科学 2019-04-02 Filippos Kokkinos , Stamatios Lefkimmiatis

Solving linear inverse problems plays a crucial role in numerous applications. Algorithm unfolding based, model-aware data-driven approaches have gained significant attention for effectively addressing these problems. Learned iterative…

Many physical and engineering systems require solving direct problems to predict behavior and inverse problems to determine unknown parameters from measurement. In this work, we study both aspects for systems governed by differential…

数值分析 · 数学 2026-03-04 Noura Al Helwani , Sophie Moufawad , Georges Sakr

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

信号处理 · 电气工程与系统科学 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

Recovering a signal from its Fourier intensity underlies many important applications, including lensless imaging and imaging through scattering media. Conventional algorithms for retrieving the phase suffer when noise is present but display…

图像与视频处理 · 电气工程与系统科学 2020-03-05 Yaotian Wang , Xiaohang Sun , Jason W. Fleischer

We propose a novel iterative channel estimation (ICE) algorithm that essentially removes the critical known noisy channel assumption for universal discrete denoising problem. Our algorithm is based on Neural DUDE (N-DUDE), a recently…

机器学习 · 计算机科学 2019-05-29 Hongjoon Ahn , Taesup Moon

Plug-and-Play optimization recently emerged as a powerful technique for solving inverse problems by plugging a denoiser into a classical optimization algorithm. The denoiser accounts for the regularization and therefore implicitly…

图像与视频处理 · 电气工程与系统科学 2021-10-04 Mikael Le Pendu , Christine Guillemot

Recent deep learning-based image denoising methods have shown impressive performance; however, many lack the flexibility to adjust the denoising strength based on the noise levels, camera settings, and user preferences. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2025-09-05 Youngjin Oh , Junhyeong Kwon , Keuntek Lee , Nam Ik Cho

Deep neural networks (DNNs) have recently become the leading method for low-light image enhancement (LLIE). However, despite significant progress, their outputs may still exhibit issues such as amplified noise, incorrect white balance, or…

计算机视觉与模式识别 · 计算机科学 2025-04-17 Zhihua Wang , Yu Long , Qinghua Lin , Kai Zhang , Yazhu Zhang , Yuming Fang , Li Liu , Xiaochun Cao

Noise reduction is one the most important and still active research topic in low-level image processing due to its high impact on object detection and scene understanding for computer vision systems. Recently, we can observe a substantial…

计算机视觉与模式识别 · 计算机科学 2020-05-22 Krystian Radlak , Lukasz Malinski , Bogdan Smolka

This paper presents a novel method for restoring digital videos via a Deep Plug-and-Play (PnP) approach. Under a Bayesian formalism, the method consists in using a deep convolutional denoising network in place of the proximal operator of…

图像与视频处理 · 电气工程与系统科学 2022-09-16 Antoine Monod , Julie Delon , Matias Tassano , Andrés Almansa

The "fast iterative shrinkage-thresholding algorithm", a.k.a. FISTA, is one of the most well-known first-order optimisation scheme in the literature, as it achieves the worst-case $O(1/k^2)$ optimal convergence rate in terms of objective…

最优化与控制 · 数学 2021-01-21 Jingwei Liang , Tao Luo , Carola-Bibiane Schönlieb

Image denoising is an important problem in low-level vision and serves as a critical module for many image recovery tasks. Anisotropic diffusion is a wide family of image denoising approaches with promising performance. However, traditional…

计算机视觉与模式识别 · 计算机科学 2026-01-01 Xinran Qin , Yuhui Quan , Ruotao Xu , Hui Ji

Single image inverse problem is a notoriously challenging ill-posed problem that aims to restore the original image from one of its corrupted versions. Recently, this field has been immensely influenced by the emergence of deep-learning…

计算机视觉与模式识别 · 计算机科学 2019-11-19 Qianwei Zhou , Chen Zhou , Haigen Hu , Yuhang Chen , Shengyong Chen , Xiaoxin Li

Deep convolutional networks often append additive constant ("bias") terms to their convolution operations, enabling a richer repertoire of functional mappings. Biases are also used to facilitate training, by subtracting mean response over…

图像与视频处理 · 电气工程与系统科学 2020-02-11 Sreyas Mohan , Zahra Kadkhodaie , Eero P. Simoncelli , Carlos Fernandez-Granda