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We investigate the multi-dimensional Super Resolution problem on closed semi-algebraic domains for various sampling schemes such as Fourier or moments. We present a new semidefinite programming (SDP) formulation of the 1 -minimization in…

Information Theory · Computer Science 2015-02-10 Y De Castro , F Gamboa , D Henrion , J. -B Lasserre

The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah

Richardson-Lucy deconvolution is widely used to restore images from degradation caused by the broadening effects of a point spread function and corruption by photon shot noise, in order to recover an underlying object. In practice, this is…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zachary H. Hendrix , Peter T. Brown , Tim Flanagan , Douglas P. Shepherd , Ayush Saurabh , Steve Pressé

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

Machine Learning · Computer Science 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

Benefited from the deep learning, image Super-Resolution has been one of the most developing research fields in computer vision. Depending upon whether using a discriminator or not, a deep convolutional neural network can provide an image…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Zhi-Song Liu , Wan-Chi Siu , Li-Wen Wang , Chu-Tak Li , Marie-Paule Cani , Yui-Lam Chan

This work revisits coupled tensor decomposition (CTD)-based hyperspectral super-resolution (HSR). HSR aims at fusing a pair of hyperspectral and multispectral images to recover a super-resolution image (SRI). The vast majority of the HSR…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Meng Ding , Xiao Fu , Ting-Zhu Huang , Jun Wang , Xi-Le Zhao

Video super-resolution aims at generating a high-resolution video from its low-resolution counterpart. With the rapid rise of deep learning, many recently proposed video super-resolution methods use convolutional neural networks in…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Xiaohong Liu , Lingshi Kong , Yang Zhou , Jiying Zhao , Jun Chen

Multi-image super-resolution (MISR) can achieve higher image quality than single-image super-resolution (SISR) by aggregating sub-pixel information from multiple spatially shifted frames. Among MISR tasks, burst super-resolution (BurstSR)…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Tengda Huang , Yu Zhang , Tianren Li , Yufu Qu , Fulin Liu , Zhenzhong Wei

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

This paper proposes a binarization scheme for vectors of high dimension based on the recent concept of anti-sparse coding, and shows its excellent performance for approximate nearest neighbor search. Unlike other binarization schemes, this…

Computer Vision and Pattern Recognition · Computer Science 2011-10-27 Hervé Jégou , Teddy Furon , Jean-Jacques Fuchs

X-ray ptychography is one of the versatile techniques for nanometer resolution imaging. The magnitude of the diffraction patterns is recorded on a detector and the phase of the diffraction patterns is estimated using phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2021-05-21 Prasan Shedligeri , Florian Schiffers , Semih Barutcu , Pablo Ruiz , Aggelos K Katsaggelos , Oliver Cossairt

Our work considers the optimization of the sum of a non-smooth convex function and a finite family of composite convex functions, each one of which is composed of a convex function and a bounded linear operator. This type of problem is…

Optimization and Control · Mathematics 2019-08-30 Yu-Chao Tang , Chuan-Xi Zhu , Meng Wen , Ji-Gen Peng

We study sparse spikes deconvolution over the space of Radon measures on $\mathbb{R}$ or $\mathbb{T}$ when the input measure is a finite sum of positive Dirac masses using the BLASSO convex program. We focus on the recovery properties of…

Information Theory · Computer Science 2016-09-01 Quentin Denoyelle , Vincent Duval , Gabriel Peyré

It was recently shown that almost all solutions in the symmetric binary perceptron are isolated, even at low constraint densities, suggesting that finding typical solutions is hard. In contrast, some algorithms have been shown empirically…

Probability · Mathematics 2021-11-08 Emmanuel Abbe , Shuangping Li , Allan Sly

Super-Resolution is the technique to improve the quality of a low-resolution photo by boosting its plausible resolution. The computer vision community has extensively explored the area of Super-Resolution. However, previous Super-Resolution…

Image and Video Processing · Electrical Eng. & Systems 2022-04-20 Ankur Singh , Piyush Rai

How to effectively approximate real-valued parameters with binary codes plays a central role in neural network binarization. In this work, we reveal an important fact that binarizing different layers has a widely-varied effect on the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Lixue Zhuang , Yi Xu , Bingbing Ni , Hongteng Xu

The stability of spike deconvolution, which aims at recovering point sources from their convolution with a point spread function (PSF), is known to be related to the separation between those sources. When the observations are noisy, it is…

Information Theory · Computer Science 2021-10-15 Maxime Ferreira Da Costa , Yuejie Chi

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

Recently, the bio-inspired spike camera with continuous motion recording capability has attracted tremendous attention due to its ultra high temporal resolution imaging characteristic. Such imaging feature results in huge data storage and…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Kexiang Feng , Chuanmin Jia , Siwei Ma , Wen Gao

Hyperspectral imaging offers new perspectives for diverse applications, ranging from the monitoring of the environment using airborne or satellite remote sensing, precision farming, food safety, planetary exploration, or astrophysics.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-19 Théo Bodrito , Alexandre Zouaoui , Jocelyn Chanussot , Julien Mairal
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