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Continuous-time approximation of Stochastic Gradient Descent (SGD) is a crucial tool to study its escaping behaviors from stationary points. However, existing stochastic differential equation (SDE) models fail to fully capture these…

Machine Learning · Statistics 2025-06-04 Xiang Li , Zebang Shen , Liang Zhang , Niao He

In this paper, we carry out numerical analysis to prove convergence of a novel sample-wise back-propagation method for training a class of stochastic neural networks (SNNs). The structure of the SNN is formulated as discretization of a…

Numerical Analysis · Mathematics 2022-12-20 Richard Archibald , Feng Bao , Yanzhao Cao , Hui Sun

Diffusion models, known for their powerful generative capabilities, play a crucial role in addressing real-world super-resolution challenges. However, these models often focus on improving local textures while neglecting the impacts of…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Chunyang Bi , Xin Luo , Sheng Shen , Mengxi Zhang , Huanjing Yue , Jingyu Yang

The computer vision community has developed numerous techniques for digitally restoring true scene information from single-view degraded photographs, an important yet extremely ill-posed task. In this work, we tackle image restoration from…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Yucheng Mao , Boyang Wang , Nilesh Kulkarni , Jeong Joon Park

Unpaired image denoising has achieved promising development over the last few years. Regardless of the performance, methods tend to heavily rely on underlying noise properties or any assumption which is not always practical. Alternatively,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Manisha Das Chaity , Masud An Nur Islam Fahim

Image restoration, including image denoising, super resolution, inpainting, and so on, is a well-studied problem in computer vision and image processing, as well as a test bed for low-level image modeling algorithms. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2016-08-31 Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang

Removing noise from images is a challenging and fundamental problem in the field of computer vision. Images captured by modern cameras are inevitably degraded by noise which limits the accuracy of any quantitative measurements on those…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Nikhil Verma , Deepkamal Kaur , Lydia Chau

Image deblurring techniques play important roles in many image processing applications. As the blur varies spatially across the image plane, it calls for robust and effective methods to deal with the spatially-variant blur problem. In this…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Chongyang Zhang , Weiyao Lin , Wei Li , Bing Zhou , Jun Xie , Jijia Li

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…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

In this paper we aim to tackle the problem of reconstructing a high-resolution image from a single low-resolution input image, known as single image super-resolution. In the literature, sparse representation has been used to address this…

Computer Vision and Pattern Recognition · Computer Science 2016-03-23 Mohammad Rostami , Zhou Wang

This paper introduces two key contributions aimed at improving the speed and quality of images generated through inverse diffusion processes. The first contribution involves reparameterizing the diffusion process in terms of the angle on a…

Machine Learning · Computer Science 2026-02-26 Zhenkai Zhang , Krista A. Ehinger , Tom Drummond

Exemplar-guided Image Editing (EIE) aims to modify a source image according to a visual reference. Existing approaches often require large-scale pre-training to learn relationships between the source and reference images, incurring high…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Yuke Li , Lianli Gao , Ji Zhang , Pengpeng Zeng , Lichuan Xiang , Hongkai Wen , Heng Tao Shen , Jingkuan Song

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song

This paper presents a novel method for the reconstruction of images from samples located at non-integer positions, called mesh. This is a common scenario for many image processing applications, such as super-resolution, warping or virtual…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Ján Koloda , Jürgen Seiler , André Kaup

The distance transform (DT) and its many variations are ubiquitous tools for image processing and analysis. In many imaging scenarios, the images of interest are corrupted by noise. This has a strong negative impact on the accuracy of the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Johan Öfverstedt , Joakim Lindblad , Nataša Sladoje

Large-scale text-to-image generative models have shown remarkable ability to synthesize diverse and high-quality images. However, it is still challenging to directly apply these models for editing real images for two reasons. First, it is…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Syed Muhmmad Israr , Feng Zhao

Nonlocal image representation has been successfully used in many image-related inverse problems including denoising, deblurring and deblocking. However, a majority of reconstruction methods only exploit the nonlocal self-similarity (NSS)…

Computer Vision and Pattern Recognition · Computer Science 2017-01-04 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Yechao Bai , Lan Tang

In this article we investigate the numerical solution of a scalar semilinear stochastic delay differential equation (SDDE) where the linear instantaneous feedback and nonlinear delayed feedback terms are perturbed by a pair of standard…

Numerical Analysis · Mathematics 2026-03-24 Cónall Kelly , Wenshi Tang

Demosaicking and denoising are among the most crucial steps of modern digital camera pipelines and their joint treatment is a highly ill-posed inverse problem where at-least two-thirds of the information are missing and the rest are…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Filippos Kokkinos , Stamatios Lefkimmiatis

Sparse dictionary learning (SDL) is a fundamental technique that is useful for many image processing tasks. As an example we consider here image recovery, where SDL can be cast as a nonsmooth optimization problem. For this kind of problems,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Mohammadsadegh Khoshghiaferezaee , Moritz Krauth , Shima Shabani , Michael Breuß