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We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the…

计算机视觉与模式识别 · 计算机科学 2019-09-23 Yu Sun , Jiaming Liu , Ulugbek S. Kamilov

Regularization by Denoising (RED), as recently proposed by Romano, Elad, and Milanfar, is powerful image-recovery framework that aims to minimize an explicit regularization objective constructed from a plug-in image-denoising function.…

计算机视觉与模式识别 · 计算机科学 2018-11-02 Edward T. Reehorst , Philip Schniter

Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question remains, which is how to find a good regularizer. While total…

最优化与控制 · 数学 2011-10-25 Nelly Pustelnik , Caroline Chaux , Jean-Christophe Pesquet

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Moreover,…

图像与视频处理 · 电气工程与系统科学 2025-03-03 Marien Renaud , Arthur Leclaire , Nicolas Papadakis

Hyperspectral images are typically composed of hundreds of narrow and contiguous spectral bands, each containing information regarding the material composition of the imaged scene. However, these images can be affected by various sources of…

计算机视觉与模式识别 · 计算机科学 2025-01-15 Shuo Li , Mehrdad Yaghoobi

Flow matching-based generative models have been integrated into the plug-and-play image restoration framework, and the resulting plug-and-play flow matching (PnP-Flow) model has achieved some remarkable empirical success for image…

计算机视觉与模式识别 · 计算机科学 2025-12-05 Fan Jia , Yuhao Huang , Shih-Hsin Wang , Cristina Garcia-Cardona , Andrea L. Bertozzi , Bao Wang

The recent remarkable progress of deep reinforcement learning (DRL) stands on regularization of policy for stable and efficient learning. A popular method, named proximal policy optimization (PPO), has been introduced for this purpose. PPO…

机器学习 · 计算机科学 2023-07-04 Taisuke Kobayashi

Regularization by denoising (RED) is a widely-used framework for solving inverse problems by leveraging image denoisers as image priors. Recent work has reported the state-of-the-art performance of RED in a number of imaging applications…

图像与视频处理 · 电气工程与系统科学 2022-02-11 Yuyang Hu , Jiaming Liu , Xiaojian Xu , Ulugbek S. Kamilov

Snapshot compressive imaging (SCI) captures high-dimensional data efficiently by compressing it into two-dimensional observations and reconstructing high-dimensional data from two-dimensional observations with various algorithms. The…

图像与视频处理 · 电气工程与系统科学 2025-03-06 Takashi Matsuda , Ryo Hayakawa , Youji Iiguni

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

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

图像与视频处理 · 电气工程与系统科学 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

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

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

机器学习 · 计算机科学 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister

Many material and biological samples in scientific imaging are characterized by non-local repeating structures. These are studied using scanning electron microscopy and electron tomography. Sparse sampling of individual pixels in a 2D image…

计算机视觉与模式识别 · 计算机科学 2017-11-09 Suhas Sreehari , S. V. Venkatakrishnan , Brendt Wohlberg , Lawrence F. Drummy , Jeffrey P. Simmons , Charles A. Bouman

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

We consider the variational reconstruction framework for inverse problems and propose to learn a data-adaptive input-convex neural network (ICNN) as the regularization functional. The ICNN-based convex regularizer is trained adversarially…

Much research has been devoted to the problem of restoring Poissonian images, namely for medical and astronomical applications. However, the restoration of these images using state-of-the-art regularizers (such as those based on multiscale…

最优化与控制 · 数学 2012-10-10 Mário A. T. Figueiredo , José M. Bioucas-Dias

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

机器学习 · 计算机科学 2019-08-07 Sören Dittmer , Peter Maass

In image denoising problems, one widely-adopted approach is to minimize a regularized data-fit objective function, where the data-fit term is derived from a physical image acquisition model. Typically the regularizer is selected with two…

最优化与控制 · 数学 2015-08-13 Albert Oh , Rebecca Willett

We address the optimization problem in a data-driven variational reconstruction framework, where the regularizer is parameterized by an input-convex neural network (ICNN). While gradient-based methods are commonly used to solve such…

最优化与控制 · 数学 2025-10-24 Matthias J. Ehrhardt , Subhadip Mukherjee , Hok Shing Wong