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A numerical algorithm is proposed to deal with parametric eigenvalue problems involving non-Hermitian matrices and is exploited to find location of defective eigenvalues in the parameter space of non-Hermitian parametric eigenvalue…

Computational Physics · Physics 2026-01-23 Benoit Nennig , Martin Ghienne , Emmanuel Perrey-Debain

Fast convergence and high-quality image recovery are two essential features of algorithms for solving ill-posed imaging inverse problems. Existing methods, such as regularization by denoising (RED), often focus on designing sophisticated…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Marien Renaud , Julien Hermant , Deliang Wei , Yu Sun

Recently, impressive denoising results have been achieved by Bayesian approaches which assume Gaussian models for the image patches. This improvement in performance can be attributed to the use of per-patch models. Unfortunately such an…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Cecilia Aguerrebere , Andrés Almansa , Julie Delon , Yann Gousseau , Pablo Musé

The semi-empirical Pariser-Parr-Pople (PPP) Hamiltonian is reviewed for its ability to provide a minimal model of the chemistry of conjugated $\pi$-electron systems, and its current applications and limitations are discussed. From its…

Chemical Physics · Physics 2025-10-07 Marcel David Fabian , Nina Glaser , Gemma C. Solomon

The great success of Deep Neural Networks (DNNs) has inspired the algorithmic development of DNN-based Fixed-Point (DNN-FP) for computer vision tasks. DNN-FP methods, trained by Back-Propagation Through Time or computing the inaccurate…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Peng Qiao , Sidun Liu , Tao Sun , Ke Yang , Yong Dou

Existing image restoration methods mostly leverage the posterior distribution of natural images. However, they often assume known degradation and also require supervised training, which restricts their adaptation to complex real…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Ben Fei , Zhaoyang Lyu , Liang Pan , Junzhe Zhang , Weidong Yang , Tianyue Luo , Bo Zhang , Bo Dai

This paper focuses on network pruning for image retrieval acceleration. Prevailing image retrieval works target at the discriminative feature learning, while little attention is paid to how to accelerate the model inference, which should be…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Xiaodong Wang , Zhedong Zheng , Yang He , Fei Yan , Zhiqiang Zeng , Yi Yang

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…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Xingyu Xu , Yuejie Chi

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…

Optimization and Control · Mathematics 2011-10-25 Nelly Pustelnik , Caroline Chaux , Jean-Christophe Pesquet

Learning a good image prior is a long-term goal for image restoration and manipulation. While existing methods like deep image prior (DIP) capture low-level image statistics, there are still gaps toward an image prior that captures rich…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Xingang Pan , Xiaohang Zhan , Bo Dai , Dahua Lin , Chen Change Loy , Ping Luo

Underwater image restoration algorithms seek to restore the color, contrast, and appearance of a scene that is imaged underwater. They are a critical tool in applications ranging from marine ecology and aquaculture to underwater…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Jiayi Wu , Tianfu Wang , Md Abu Bakr Siddique , Md Jahidul Islam , Cornelia Fermuller , Yiannis Aloimonos , Christopher A. Metzler

Deep image prior (DIP) proposed in recent research has revealed the inherent trait of convolutional neural networks (CNN) for capturing substantial low-level image statistics priors. This framework efficiently addresses the inverse problems…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Ziyu Shu , Zhixin Pan

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…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan

Decompositional reconstruction of 3D scenes, with complete shapes and detailed texture of all objects within, is intriguing for downstream applications but remains challenging, particularly with sparse views as input. Recent approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Junfeng Ni , Yu Liu , Ruijie Lu , Zirui Zhou , Song-Chun Zhu , Yixin Chen , Siyuan Huang

Poisson-Gaussian noise describes the noise of various imaging systems thus the need of efficient algorithms for Poisson-Gaussian image restoration. Deep learning methods offer state-of-the-art performance but often require sensor-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a saddle point reformulation of the Bregman proximal point…

Optimization and Control · Mathematics 2025-07-01 Jørgen S. Dokken , Patrick E. Farrell , Brendan Keith , Ioannis P. A. Papadopoulos , Thomas M. Surowiec

For image recovery problems, plug-and-play (PnP) methods have been developed that replace the proximal step in an optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network.…

Information Theory · Computer Science 2022-02-14 Saurav K Shastri , Rizwan Ahmad , Christopher A Metzler , Philip Schniter

This paper concerns iterative reconstruction for low-dose and few-view CT by minimizing a data-fidelity term regularized with the Total Variation (TV) penalty. We propose a very fast iterative algorithm to solve this problem. The algorithm…

Medical Physics · Physics 2017-02-01 Hiroyuki Kudo , Fukashi Yamazaki , Takuya Nemoto , Keita Takaki

The plug-and-play (PnP) method uses a deep denoiser within a proximal algorithm for model-based image reconstruction (IR). Unlike end-to-end IR, PnP allows the same pretrained denoiser to be used across different imaging tasks, without the…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Arghya Sinha , Trishit Mukherjee , Kunal N. Chaudhury

In this work we propose an efficient stochastic plug-and-play (PnP) algorithm for imaging inverse problems. The PnP stochastic gradient descent methods have been recently proposed and shown improved performance in some imaging applications…

Optimization and Control · Mathematics 2020-06-24 Junqi Tang , Mike Davies
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