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Although several image super-resolution solutions exist, they still face many challenges. CNN-based algorithms, despite the reduction in computational complexity, still need to improve their accuracy. While Transformer-based algorithms have…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Nianzu Qiao , Lamei Di , Changyin Sun

A broad range of inverse problems can be abstracted into the problem of minimizing the sum of several convex functions in a Hilbert space. We propose a proximal decomposition algorithm for solving this problem with an arbitrary number of…

Optimization and Control · Mathematics 2009-11-13 Patrick L. Combettes , Jean-Christophe Pesquet

Most existing super-resolution methods do not perform well in real scenarios due to lack of realistic training data and information loss of the model input. To solve the first problem, we propose a new pipeline to generate realistic…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Xiangyu Xu , Yongrui Ma , Wenxiu Sun

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

Numerical Analysis · Mathematics 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

Perceptual image restoration seeks for high-fidelity images that most likely degrade to given images. For better visual quality, previous work proposed to search for solutions within the natural image manifold, by exploiting the latent…

Image and Video Processing · Electrical Eng. & Systems 2021-03-05 Chaoyi Han , Yiping Duan , Xiaoming Tao , Jianhua Lu

Resolving signals with closely spaced frequencies is central to applications in communications, spectroscopy and sensing. Recent results have shown that quantum sensing protocols can exhibit superresolution, the ability to discriminate…

Quantum Physics · Physics 2026-02-13 Joseph T. Iosue , Paraj Titum , Taohan Lin , Clare Lau , Leigh M. Norris

Particle tracking in biological imaging is concerned with reconstructing the trajectories, locations, or velocities of the targeting particles. The standard approach of particle tracking consists of two steps: first reconstructing…

Signal Processing · Electrical Eng. & Systems 2022-04-11 Ping Liu , Habib Ammari

Depth maps captured with commodity sensors often require super-resolution to be used in applications. In this work we study a super-resolution approach based on a variational problem statement with Tikhonov regularization where the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-22 Milena Gazdieva , Oleg Voynov , Alexey Artemov , Youyi Zheng , Luiz Velho , Evgeny Burnaev

In this paper we study the subset sum problem with real numbers. Starting from the given problem, we formulate a quadratic maximization problem over a polytope which is eventually written as a distance maximization to a fixed point. For…

Optimization and Control · Mathematics 2023-10-09 Marius Costandin

High-resolution imagery plays a critical role in improving the performance of visual recognition tasks such as classification, detection, and segmentation. In many domains, including remote sensing and surveillance, low-resolution images…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Ch Muhammad Awais , Marco Reggiannini , Davide Moroni , Oktay Karakus

Representation learning constitutes a pivotal cornerstone in contemporary deep learning paradigms, offering a conduit to elucidate distinctive features within the latent space and interpret the deep models. Nevertheless, the inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Siyuan Dai , Kai Ye , Kun Zhao , Ge Cui , Haoteng Tang , Liang Zhan

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

Deep learning methods have been successfully applied to various computer vision tasks. However, existing neural network architectures do not per se incorporate domain knowledge about the addressed problem, thus, understanding what the model…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR),…

Information Theory · Computer Science 2016-01-21 Xing Wang , Jie Liang

In a regression setting we propose algorithms that reduce the dimensionality of the features while simultaneously maximizing a statistical measure of dependence known as distance correlation between the low-dimensional features and a…

Machine Learning · Computer Science 2017-02-20 Praneeth Vepakomma , Ahmed Elgammal

We analyze the statistical problem of recovering an atomic signal, modeled as a discrete uniform distribution $\mu$, from a binned Poisson convolution model. This question is motivated, among others, by super-resolution laser microscopy…

Statistics Theory · Mathematics 2025-08-04 Shayan Hundrieser , Tudor Manole , Danila Litskevich , Axel Munk

This paper introduces a framework for super-resolution of scalable video based on compressive sensing and sparse representation of residual frames in reconnaissance and surveillance applications. We exploit efficient compressive sampling…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Mohammad Hossein Moghaddam , Mohammad Javad Azizipour , Saeed Vahidian , Besma Smida

Image-based 3D reconstruction is one of the most important tasks in Computer Vision with many solutions proposed over the last few decades. The objective is to extract metric information i.e. the geometry of scene objects directly from…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Qiao Chen , Charalambos Poullis

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

Machine Learning · Computer Science 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

This paper studies the problem of learning an unknown function $f$ from given data about $f$. The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data. There are numerous settings…

Machine Learning · Computer Science 2023-06-27 Peter Binev , Andrea Bonito , Ronald DeVore , Guergana Petrova
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