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This paper introduces a new rain removal model based on the shrinkage of the sparse codes for a single image. Recently, dictionary learning and sparse coding have been widely used for image restoration problems. These methods can also be…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Chang-Hwan Son , Xiao-Ping Zhang

This work deals with a regularization method enforcing solution sparsity of linear ill-posed problems by appropriate discretization in the image space. Namely, we formulate the so called least error method in an $\ell^1$ setting and perform…

Numerical Analysis · Mathematics 2016-08-03 Kristian Bredies , Barbara Kaltenbacher , Elena Resmerita

We present NeRSP, a Neural 3D reconstruction technique for Reflective surfaces with Sparse Polarized images. Reflective surface reconstruction is extremely challenging as specular reflections are view-dependent and thus violate the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Yufei Han , Heng Guo , Koki Fukai , Hiroaki Santo , Boxin Shi , Fumio Okura , Zhanyu Ma , Yunpeng Jia

The non-negative solution to an underdetermined linear system can be uniquely recovered sometimes, even without imposing any additional sparsity constraints. In this paper, we derive conditions under which a unique non-negative solution for…

Numerical Analysis · Mathematics 2013-09-24 Karthikeyan Natesan Ramamurthy , Jayaraman J. Thiagarajan , Andreas Spanias

Neural retrievers based on dense representations combined with Approximate Nearest Neighbors search have recently received a lot of attention, owing their success to distillation and/or better sampling of examples for training -- while…

Information Retrieval · Computer Science 2022-05-13 Thibault Formal , Carlos Lassance , Benjamin Piwowarski , Stéphane Clinchant

Many computer vision problems (e.g., camera calibration, image alignment, structure from motion) are solved with nonlinear optimization methods. It is generally accepted that second order descent methods are the most robust, fast, and…

Computer Vision and Pattern Recognition · Computer Science 2014-05-06 Xuehan Xiong , Fernando De la Torre

Sparse model selection is ubiquitous from linear regression to graphical models where regularization paths, as a family of estimators upon the regularization parameter varying, are computed when the regularization parameter is unknown or…

Machine Learning · Statistics 2018-10-10 Chendi Huang , Yuan Yao

Despite strong empirical performance for image classification, deep neural networks are often regarded as ``black boxes'' and they are difficult to interpret. On the other hand, sparse convolutional models, which assume that a signal can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Xili Dai , Mingyang Li , Pengyuan Zhai , Shengbang Tong , Xingjian Gao , Shao-Lun Huang , Zhihui Zhu , Chong You , Yi Ma

Blind image deblurring is a long standing challenging problem in image processing and low-level vision. Recently, sophisticated priors such as dark channel prior, extreme channel prior, and local maximum gradient prior, have shown promising…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Fei Wen , Rendong Ying , Yipeng Liu , Peilin Liu , Trieu-Kien Truong

Magnetic Particle Imaging (MPI) is an emerging imaging modality based on the magnetic response of superparamagnetic iron oxide nanoparticles to achieve high-resolution and real-time imaging without harmful radiation. One key challenge in…

Numerical Analysis · Mathematics 2025-01-13 Meira Iske , Hannes Albers , Tobias Knopp , Tobias Kluth

The dictionary-aided sparse regression (SR) approach has recently emerged as a promising alternative to hyperspectral unmixing (HU) in remote sensing. By using an available spectral library as a dictionary, the SR approach identifies the…

Machine Learning · Statistics 2016-08-24 Xiao Fu , Wing-Kin Ma , José Bioucas-Dias , Tsung-Han Chan

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

Image and Video Processing · Electrical Eng. & Systems 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury

The compressive sensing (CS) scheme exploits much fewer measurements than suggested by the Nyquist-Shannon sampling theorem to accurately reconstruct images, which has attracted considerable attention in the computational imaging community.…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Zhiyuan Zha , Bihan Wen , Xin Yuan , Saiprasad Ravishankar , Jiantao Zhou , Ce Zhu

While deep neural networks (DNNs) have proven to be efficient for numerous tasks, they come at a high memory and computation cost, thus making them impractical on resource-limited devices. However, these networks are known to contain a…

Neural and Evolutionary Computing · Computer Science 2020-07-21 Anthony Berthelier , Yongzhe Yan , Thierry Chateau , Christophe Blanc , Stefan Duffner , Christophe Garcia

Deep learning has been widely used for solving image reconstruction tasks but its deployability has been held back due to the shortage of high-quality training data. Unsupervised learning methods, such as the deep image prior (DIP),…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Riccardo Barbano , Javier Antorán , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin , Željko Kereta

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

Machine Learning · Computer Science 2023-09-07 Avrajit Ghosh , Michael T. McCann , Madeline Mitchell , Saiprasad Ravishankar

We present the first framework to solve linear inverse problems leveraging pre-trained latent diffusion models. Previously proposed algorithms (such as DPS and DDRM) only apply to pixel-space diffusion models. We theoretically analyze our…

Machine Learning · Computer Science 2023-07-04 Litu Rout , Negin Raoof , Giannis Daras , Constantine Caramanis , Alexandros G. Dimakis , Sanjay Shakkottai

An image super-resolution method from multiple observation of low-resolution images is proposed. The method is based on sub-pixel accuracy block matching for estimating relative displacements of observed images, and sparse signal…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Toshiyuki Kato , Hideitsu Hino , Noboru Murata

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

Deep-learning-based methods for different applications have been shown vulnerable to adversarial examples. These examples make deployment of such models in safety-critical tasks questionable. Use of deep neural networks as inverse problem…

Machine Learning · Computer Science 2020-02-28 Ankit Raj , Yoram Bresler , Bo Li