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It is known that the minimum-mean-squared-error (MMSE) denoiser under Gaussian noise can be written as a proximal operator, which suffices for asymptotic convergence of plug-and-play (PnP) methods but does not reveal the structure of the…

最优化与控制 · 数学 2026-04-06 Henry Pritchard , Rahul Parhi

Relieving the reliance of neural network training on a global back-propagation (BP) has emerged as a notable research topic due to the biological implausibility and huge memory consumption caused by BP. Among the existing solutions, local…

机器学习 · 计算机科学 2024-06-11 Yibo Yang , Xiaojie Li , Motasem Alfarra , Hasan Hammoud , Adel Bibi , Philip Torr , Bernard Ghanem

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

计算机视觉与模式识别 · 计算机科学 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

Inverse problems in imaging are extensively studied, with a variety of strategies, tools, and theory that have been accumulated over the years. Recently, this field has been immensely influenced by the emergence of deep-learning techniques.…

计算机视觉与模式识别 · 计算机科学 2019-10-25 Gary Mataev , Michael Elad , Peyman Milanfar

Snapshot compressive imaging (SCI) aims to capture the high-dimensional (usually 3D) images using a 2D sensor (detector) in a single snapshot. Though enjoying the advantages of low-bandwidth, low-power and low-cost, applying SCI to…

图像与视频处理 · 电气工程与系统科学 2020-07-21 Xin Yuan , Yang Liu , Jinli Suo , Qionghai Dai

Plug-and-Play Priors (PnP) is a well-known class of methods for solving inverse problems in computational imaging. PnP methods combine physical forward models with learned prior models specified as image denoisers. A common issue with the…

图像与视频处理 · 电气工程与系统科学 2024-03-18 Edward P. Chandler , Shirin Shoushtari , Jiaming Liu , M. Salman Asif , Ulugbek S. Kamilov

Removing optical and atmospheric blur from galaxy images significantly improves galaxy shape measurements for weak gravitational lensing and galaxy evolution studies. This ill-posed linear inverse problem is usually solved with…

天体物理仪器与方法 · 物理学 2023-03-29 Tianao Li , Emma Alexander

ReParameterization (RP) Policy Gradient Methods (PGMs) have been widely adopted for continuous control tasks in robotics and computer graphics. However, recent studies have revealed that, when applied to long-term reinforcement learning…

机器学习 · 计算机科学 2023-11-01 Shenao Zhang , Boyi Liu , Zhaoran Wang , Tuo Zhao

Video Snapshot compressive imaging (SCI) is a promising technique to capture high-speed videos, which transforms the imaging speed from the detector to mask modulating and only needs a single measurement to capture multiple frames. The…

图像与视频处理 · 电气工程与系统科学 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan

Image restoration has seen great progress in the last years thanks to the advances in deep neural networks. Most of these existing techniques are trained using full supervision with suitable image pairs to tackle a specific degradation.…

图像与视频处理 · 电气工程与系统科学 2020-09-11 Leonhard Helminger , Michael Bernasconi , Abdelaziz Djelouah , Markus Gross , Christopher Schroers

Finite rate of innovation (FRI) is a powerful reconstruction framework enabling the recovery of sparse Dirac streams from uniform low-pass filtered samples. An extension of this framework, called generalised FRI (genFRI), has been recently…

最优化与控制 · 数学 2021-01-12 Matthieu Simeoni , Adrien Besson , Paul Hurley , Martin Vetterli

Images captured in poorly lit conditions are often corrupted by acquisition noise. Leveraging recent advances in graph-based regularization, we propose a fast Retinex-based restoration scheme that denoises and contrast-enhances an image.…

图像与视频处理 · 电气工程与系统科学 2023-07-26 Yeganeh Gharedaghi , Gene Cheung , Xianming Liu

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators. For filters of full length, we propose a stochastic gradient descent algorithm on a submanifold of the Stiefel…

最优化与控制 · 数学 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl

While deep neural networks exhibit state-of-the-art results in the task of image super-resolution (SR) with a fixed known acquisition process (e.g., a bicubic downscaling kernel), they experience a huge performance loss when the real…

计算机视觉与模式识别 · 计算机科学 2019-07-24 Tom Tirer , Raja Giryes

Deep-learning-based hyperspectral image (HSI) restoration methods have gained great popularity for their remarkable performance but often demand expensive network retraining whenever the specifics of task changes. In this paper, we propose…

图像与视频处理 · 电气工程与系统科学 2022-09-20 Zeqiang Lai , Kaixuan Wei , Ying Fu

We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by…

最优化与控制 · 数学 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

Plug-and-play algorithms constitute a popular framework for solving inverse imaging problems that rely on the implicit definition of an image prior via a denoiser. These algorithms can leverage powerful pre-trained denoisers to solve a wide…

图像与视频处理 · 电气工程与系统科学 2024-05-24 Matthieu Terris , Thomas Moreau , Nelly Pustelnik , Julian Tachella

In a great number of tasks in science and engineering, the goal is to infer an unknown image from a small number of measurements collected from a known forward model describing certain sensing or imaging modality. Due to resource…

图像与视频处理 · 电气工程与系统科学 2024-06-13 Xingyu Xu , Yuejie Chi

There has been tremendous research on the design of image regularizers over the years, from simple Tikhonov and Laplacian to sophisticated sparsity and CNN-based regularizers. Coupled with a model-based loss function, these are typically…

图像与视频处理 · 电气工程与系统科学 2022-10-26 Pravin Nair , Kunal N. Chaudhury

Regularization by denoising (RED) is a recently developed framework for solving inverse problems by integrating advanced denoisers as image priors. Recent work has shown its state-of-the-art performance when combined with pre-trained deep…

图像与视频处理 · 电气工程与系统科学 2020-10-06 Yu Sun , Jiaming Liu , Yiran Sun , Brendt Wohlberg , Ulugbek S. Kamilov