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We address the problem of recovering a sparse signal from clipped or quantized measurements. We show how these two problems can be formulated as minimizing the distance to a convex feasibility set, which provides a convex and differentiable…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

We propose a new approach for the image super-resolution (SR) task that progressively restores a high-resolution (HR) image from an input low-resolution (LR) image on the basis of a neural ordinary differential equation. In particular, we…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Seobin Park , Tae Hyun Kim

Background: It is commonly assumed in neuronal coding that repeated presentations of a stimulus to a coding neuron elicit similar responses. One common way to assess similarity are spike train distances. These can be divided into…

Neurons and Cognition · Quantitative Biology 2018-02-22 Eero Satuvuori , Thomas Kreuz

A fruitful approach for solving signal deconvolution problems consists of resorting to a frame-based convex variational formulation. In this context, parallel proximal algorithms and related alternating direction methods of multipliers have…

Other Computer Science · Computer Science 2015-05-28 Nelly Pustelnik , Jean-Christophe Pesquet , Caroline Chaux

Sparse signal recovery from a small number of random measurements is a well known NP-hard to solve combinatorial optimization problem, with important applications in signal and image processing. The standard approach to the sparse signal…

Data Analysis, Statistics and Probability · Physics 2013-04-09 M. Andrecut

The paper investigates possibility of recovery of sequences from their decimated subsequences. It is shown that this recoverability is associated with certain spectrum degeneracy of a new kind, and that a sequences of a general kind can be…

Information Theory · Computer Science 2017-10-31 Nikolai Dokuchaev

Super-resolution (SR) is an ill-posed inverse problem which consists in proposing high-resolution images consistent with a given low-resolution one. While most SR algorithms are deterministic, stochastic SR deals with designing a stochastic…

Image and Video Processing · Electrical Eng. & Systems 2023-03-06 Emile Pierret , Bruno Galerne

Super-resolution suffers from an innate ill-posed problem that a single low-resolution (LR) image can be from multiple high-resolution (HR) images. Recent studies on the flow-based algorithm solve this ill-posedness by learning the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Ki-Ung Song , Dongseok Shim , Kang-wook Kim , Jae-young Lee , Younggeun Kim

Audio Super-Resolution is a set of techniques aimed at high-quality estimation of the given signal as if it would be sampled with higher sample rate. Among suggested methods there are diffusion and flow models (which are considered slower),…

Sound · Computer Science 2026-03-05 Nikita Kuznetsov , Maksim Kaledin

We consider the problem of sampling from data defined on the nodes of a weighted graph, where the edge weights capture the data correlation structure. As shown recently, using spectral graph theory one can define a cut-off frequency for the…

Information Theory · Computer Science 2014-11-13 Ilan Shomorony , A. Salman Avestimehr

We consider a multiterminal source coding problem in which a source is estimated at a central processing unit from lossy-compressed remote observations. Each lossy-encoded observation is produced by a remote sensor which obtains a noisy…

Information Theory · Computer Science 2016-05-13 Ruiyang Song , Stefano Rini , Alon Kipnis , Andrea J. Goldsmith

In this work, super-resolution by 4 compressive sensing methods (OMP, BP, BLOOMP, BP-BLOT) with highly coherent partial Fourier measurements is comparatively studied. An alternative metric more suitable for gauging the quality of spike…

Information Theory · Computer Science 2012-11-27 A. Fannjiang , W. Liao

Given a spectrally sparse signal $\mathbf{y} = \sum_{i=1}^s x_i\mathbf{f}(\tau_i) \in \mathbb{C}^{2n+1}$ consisting of $s$ complex sinusoids, we consider the super-resolution problem, which is about estimating frequency components…

Information Theory · Computer Science 2022-08-31 Yuxuan Han , Zhiyi Huang , Yang Wang , Rui Zhang

Accelerating neural radiance fields training is of substantial practical value, as the ray sampling strategy profoundly impacts network convergence. More efficient ray sampling can thus directly enhance existing NeRF models' training…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Shilei Sun , Ming Liu , Zhongyi Fan , Yuxue Liu , Chengwei Lv , Liquan Dong , Lingqin Kong

As an emerging approach, deep learning plays an increasingly influential role in channel modeling. Traditional ray tracing (RT) methods of channel modeling tend to be inefficient and expensive. In this paper, we present a super-resolution…

Signal Processing · Electrical Eng. & Systems 2023-01-24 Haoyang Zhang , Danping He , Xiping Wang , Wenbin Wang , Yunhao Cheng , Ke Guan

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

Information Theory · Computer Science 2015-04-28 Ljubisa Stankovic , Milos Dakovic

We study the problem of selecting the best sampling set for bandlimited reconstruction of signals on graphs. A frequency domain representation for graph signals can be defined using the eigenvectors and eigenvalues of variation operators…

Information Theory · Computer Science 2016-06-29 Aamir Anis , Akshay Gadde , Antonio Ortega

This paper introduces a novel computationally efficient method of solving the 3D single image super-resolution (SR) problem, i.e., reconstruction of a high-resolution volume from its low-resolution counterpart. The main contribution lies in…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Nwigbo Kenule Tuador , Duong Hung Pham , Jérôme Michetti , Adrian Basarab , Denis Kouamé

Most existing super-resolution methods and datasets have been developed to improve the image quality in well-lighted conditions. However, these methods do not work well in real-world low-light conditions as the images captured in such…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Yang Liu , Yaofang Liu , Jinshan Pan , Yuxiang Hui , Fan Jia , Raymond H. Chan , Tieyong Zeng

In this work we study the topic of high-resolution adaptive sampling of a given deterministic signal and establish a connection with classic approaches to high-rate quantization. Specifically, we formulate solutions for the task of optimal…

Information Theory · Computer Science 2018-04-20 Yehuda Dar , Alfred M. Bruckstein