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In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

信息论 · 计算机科学 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

分布式、并行与集群计算 · 计算机科学 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

We present a novel method for learning reduced-order models of dynamical systems using nonlinear manifolds. First, we learn the manifold by identifying nonlinear structure in the data through a general representation learning problem. The…

数值分析 · 数学 2026-05-27 Rudy Geelen , Laura Balzano , Stephen Wright , Karen Willcox

Solving an ill-posed linear inverse problem requires knowledge about the underlying signal model. In many applications, this model is a priori unknown and has to be learned from data. However, it is impossible to learn the model using…

机器学习 · 统计学 2024-10-22 Julián Tachella , Dongdong Chen , Mike Davies

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

图像与视频处理 · 电气工程与系统科学 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

In the synthesis model signals are represented as a sparse combinations of atoms from a dictionary. Dictionary learning describes the acquisition process of the underlying dictionary for a given set of training samples. While ideally this…

In this paper, we introduce an unsupervised learning approach to automatically discover, summarize, and manipulate artistic styles from large collections of paintings. Our method is based on archetypal analysis, which is an unsupervised…

机器学习 · 统计学 2018-10-03 Daan Wynen , Cordelia Schmid , Julien Mairal

Compositing is one of the most common operations in photo editing. To generate realistic composites, the appearances of foreground and background need to be adjusted to make them compatible. Previous approaches to harmonize composites have…

计算机视觉与模式识别 · 计算机科学 2017-03-02 Yi-Hsuan Tsai , Xiaohui Shen , Zhe Lin , Kalyan Sunkavalli , Xin Lu , Ming-Hsuan Yang

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

图像与视频处理 · 电气工程与系统科学 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

Reconstruction error-based neural architectures constitute a classical deep learning approach to anomaly detection which has shown great performances. It consists in training an Autoencoder to reconstruct a set of examples deemed to…

机器学习 · 计算机科学 2024-06-06 Fabrizio Angiulli , Fabio Fassetti , Luca Ferragina

Even though image signals are typically defined on a regular two-dimensional grid, there also exist many scenarios where this is not the case and the amplitude of the image signal only is available for a non-regular subset of pixel…

图像与视频处理 · 电气工程与系统科学 2022-04-28 Jürgen Seiler , Markus Jonscher , Michael Schöberl , André Kaup

Image reconstruction based on an edge-sparsity assumption has become popular in recent years. Many methods of this type are capable of reconstructing nearly perfect edge-sparse images using limited data. In this paper, we present a method…

图像与视频处理 · 电气工程与系统科学 2019-02-04 Victor Churchill , Anne Gelb

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

图像与视频处理 · 电气工程与系统科学 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

In most applications of utilizing neural networks for mathematical optimization, a dedicated model is trained for each specific optimization objective. However, in many scenarios, several distinct yet correlated objectives or tasks often…

机器学习 · 计算机科学 2024-04-15 Wei Cui , Wei Yu

We propose a self-supervised training approach for learning view-invariant dense visual descriptors using image augmentations. Unlike existing works, which often require complex datasets, such as registered RGBD sequences, we train on an…

Recently, denoising methods based on supervised learning have exhibited promising performance. However, their reliance on external datasets containing noisy-clean image pairs restricts their applicability. To address this limitation,…

计算机视觉与模式识别 · 计算机科学 2023-07-21 Jaekyun Ko , Sanghwan Lee

State of the art methods in astronomical image reconstruction rely on the resolution of a regularized or constrained optimization problem. Solving this problem can be computationally intensive and usually leads to a quadratic or at least…

计算机视觉与模式识别 · 计算机科学 2017-06-08 Rémi Flamary

We review the broad variety of methods that have been proposed for anomaly detection in images. Most methods found in the literature have in mind a particular application. Yet we show that the methods can be classified mainly by the…

计算机视觉与模式识别 · 计算机科学 2019-06-04 Thibaud Ehret , Axel Davy , Jean-Michel Morel , Mauricio Delbracio

Real-noise denoising is a challenging task because the statistics of real-noise do not follow the normal distribution, and they are also spatially and temporally changing. In order to cope with various and complex real-noise, we propose a…

计算机视觉与模式识别 · 计算机科学 2020-03-17 Yoonsik Kim , Jae Woong Soh , Gu Yong Park , Nam Ik Cho

In an inhomogeneously illuminated photoacoustic image, important information like vascular geometry is not readily available when only the initial pressure is reconstructed. To obtain the desired information, algorithms for image…

图像与视频处理 · 电气工程与系统科学 2019-06-19 Yoeri E. Boink , Srirang Manohar , Christoph Brune