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Deep Neural Networks (DNNs) have obtained impressive performance across tasks, however they still remain as black boxes, e.g., hard to theoretically analyze. At the same time, Polynomial Networks (PNs) have emerged as an alternative method…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Grigorios G Chrysos , Bohan Wang , Jiankang Deng , Volkan Cevher

Traditional denoising methods for noise removal have largely relied on handcrafted priors, often perform well in controlled environments but struggle to address the complexity and variability of real noise. In contrast, deep learning-based…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Weimin Yuan , Cai Meng

Image denoising is a classical problem in low level computer vision. Model-based optimization methods and deep learning approaches have been the two main strategies for solving the problem. Model-based optimization methods are flexible for…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Chang Liu , Zhaowei Shang , Anyong Qin

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…

Image and Video Processing · Electrical Eng. & Systems 2021-10-04 Mikael Le Pendu , Christine Guillemot

The capability of image semantic segmentation may be deteriorated due to noisy input image, where image denoising prior to segmentation helps. Both image denoising and semantic segmentation have been developed significantly with the advance…

Computer Vision and Pattern Recognition · Computer Science 2021-02-25 Shunxin Xu , Ke Sun , Dong Liu , Zhiwei Xiong , Zheng-Jun Zha

The past few years have seen a surge of activity around integration of deep learning networks and optimization algorithms for solving inverse problems. Recent work on plug-and-play priors (PnP), regularization by denoising (RED), and deep…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Abdullah H. Al-Shabili , Xiaojian Xu , Ivan Selesnick , Ulugbek S. Kamilov

Recent studies on learning-based image denoising have achieved promising performance on various noise reduction tasks. Most of these deep denoisers are trained either under the supervision of clean references, or unsupervised on synthetic…

Image and Video Processing · Electrical Eng. & Systems 2021-03-30 Rui Zhao , Daniel P. K. Lun , Kin-Man Lam

Regularization in convolutional neural networks (CNNs) is usually addressed with dropout layers. However, dropout is sometimes detrimental in the convolutional part of a CNN as it simply sets to zero a percentage of pixels in the feature…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Juan P. Vigueras-Guillén , Joan Lasenby , Frank Seeliger

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…

Image and Video Processing · Electrical Eng. & Systems 2022-09-16 Antoine Monod , Julie Delon , Matias Tassano , Andrés Almansa

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…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Pravin Nair , Kunal N. Chaudhury

We design a novel network architecture for learning discriminative image models that are employed to efficiently tackle the problem of grayscale and color image denoising. Based on the proposed architecture, we introduce two different…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Stamatios Lefkimmiatis

We present a method for supervised learning of sparsity-promoting regularizers for image denoising. Sparsity-promoting regularization is a key ingredient in solving modern image reconstruction problems; however, the operators underlying…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 Michael T. McCann , Saiprasad Ravishankar

The Plug-and-Play (PnP) ADMM algorithm is a powerful image restoration framework that allows advanced image denoising priors to be integrated into physical forward models to generate high quality image restoration results. However, despite…

Image and Video Processing · Electrical Eng. & Systems 2019-05-21 Stanley H. Chan

Convolutional neural networks (CNNs) often perform well, but their stability is poorly understood. To address this problem, we consider the simple prototypical problem of signal denoising, where classical approaches such as nonlinear…

Machine Learning · Computer Science 2020-06-09 Tobias Alt , Joachim Weickert , Pascal Peter

The Retinex model is one of the most representative and effective methods for low-light image enhancement. However, the Retinex model does not explicitly tackle the noise problem, and shows unsatisfactory enhancing results. In recent years,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-20 Tingting Wu , Wenna Wu , Ying Yang , Feng-Lei Fan , Tieyong Zeng

In this work, we investigate the use of sparsity-inducing regularizers during training of Convolution Neural Networks (CNNs). These regularizers encourage that fewer connections in the convolution and fully connected layers take non-zero…

Computer Vision and Pattern Recognition · Computer Science 2014-12-04 Maxwell D. Collins , Pushmeet Kohli

In compressed sensing (CS) MRI, model-based methods are pivotal to achieving accurate reconstruction. One of the main challenges in model-based methods is finding an effective prior to describe the statistical distribution of the target…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Tao Hong , Zhaoyi Xu , Se Young Chun , Luis Hernandez-Garcia , Jeffrey A. Fessler

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…

Optimization and Control · Mathematics 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

Inverse problems appear in many applications, such as image deblurring and inpainting. The common approach to address them is to design a specific algorithm for each problem. The Plug-and-Play (P&P) framework, which has been recently…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Tom Tirer , Raja Giryes

Convolutional Neural Networks (CNNs) excel in many visual tasks but remain susceptible to adversarial attacks-imperceptible perturbations that degrade performance. Prior research reveals that brain-inspired regularizers, derived from neural…

Machine Learning · Computer Science 2026-02-16 Elie Attias , Cengiz Pehlevan , Dina Obeid