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Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Spectrum sensing is an important process in cognitive radio. A number of sensing techniques that have been proposed suffer from high processing time, hardware cost and computational complexity. To address these problems, compressive sensing…

Signal Processing · Electrical Eng. & Systems 2018-01-31 Youness Arjoune , Naima Kaabouch , Hassan El Ghazi , Ahmed Tamtaoui

Spherical microphone arrays (SMAs) are widely used for sound field analysis, and sparse recovery (SR) techniques can significantly enhance their spatial resolution by modeling the sound field as a sparse superposition of dominant plane…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-05 Shunxi Xu , Craig T. Jin

We consider the problem of recovering a signal $\mathbf{x}^* \in \mathbf{R}^n$, from magnitude-only measurements $y_i = |\left\langle\mathbf{a}_i,\mathbf{x}^*\right\rangle|$ for $i=[m]$. Also called the phase retrieval, this is a…

Machine Learning · Statistics 2017-11-28 Gauri Jagatap , Chinmay Hegde

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

Information Theory · Computer Science 2013-02-07 Lixin Shen , Bruce W. Suter

Recently, great attention was intended toward overcomplete dictionaries and the sparse representations they can provide. In a wide variety of signal processing problems, sparsity serves a crucial property leading to high performance.…

Multimedia · Computer Science 2008-12-15 SeyyedMajid Valiollahzadeh , Mohammad Nazari , Massoud Babaie-Zadeh , Christian Jutten

In numerous inverse problems, state-of-the-art solving strategies involve training neural networks from ground truth and associated measurement datasets that, however, may be expensive or impossible to collect. Recently, self-supervised…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-25 Victor Sechaud , Laurent Jacques , Patrice Abry , Julián Tachella

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency samples. This problem is known as super-resolution under sparsity constraints and has numerous applications. An especially challenging scenario occurs…

Numerical Analysis · Mathematics 2023-03-28 Rami Katz , Nuha Diab , Dmitry Batenkov

The recovery of sparsest overcomplete representation has recently attracted intensive research activities owe to its important potential in the many applied fields such as signal processing, medical imaging, communication, and so on. This…

Information Theory · Computer Science 2011-09-29 Lianlin Li

Sequential models achieve state-of-the-art results in audio, visual and textual domains with respect to both estimating the data distribution and generating high-quality samples. Efficient sampling for this class of models has however…

Spike and slab priors play a key role in inducing sparsity for sparse signal recovery. The use of such priors results in hard non-convex and mixed integer programming problems. Most of the existing algorithms to solve the optimization…

Methodology · Statistics 2019-04-02 Fekadu L. Bayisa , Zhiyong Zhou , Ottmar Cronie , Jun Yu

The performance of image based stereo estimation suffers from lighting variations, repetitive patterns and homogeneous appearance. Moreover, to achieve good performance, stereo supervision requires sufficient densely-labeled data, which are…

Computer Vision and Pattern Recognition · Computer Science 2020-05-06 Yu-Kai Huang , Yueh-Cheng Liu , Tsung-Han Wu , Hung-Ting Su , Winston H. Hsu

Decompilation is a well-studied area with numerous high-quality tools available. These are frequently used for security tasks and to port legacy code. However, they regularly generate difficult-to-read programs and require a large amount of…

Programming Languages · Computer Science 2024-02-16 Jordi Armengol-Estapé , Jackson Woodruff , Chris Cummins , Michael F. P. O'Boyle

In this paper, we propose a new method to reconstruct a signal corrupted by noise where both signal and noise are sparse but in different domains. The problem investigated in this paper arises in different applications such as impulsive…

Signal Processing · Electrical Eng. & Systems 2019-04-02 Sahar Sadrizadeh , Nematollah Zarmehi , Ehsan Asadi , Hamidreza Abin , Farokh Marvasti

In this paper, we consider a squared $L_1/L_2$ regularized model for sparse signal recovery from noisy measurements. We first establish the existence of optimal solutions to the model under mild conditions. Next, we propose a proximal…

Optimization and Control · Mathematics 2025-11-10 Na Zhang , Hong Chen , Qia Li , Junpeng Zhou

Phase retrieval is a problem encountered not only in speech and audio processing, but in many other fields such as optics. Iterative algorithms based on non-convex set projections are effective and frequently used for retrieving the phase…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-10 Tal Peer , Simon Welker , Timo Gerkmann

The aim of this paper is to introduce a new schema, based on a Compressive Sampling technique, for the recovery of lost data in multimedia streaming. The audio streaming data are encapsuled in different packets by using an interleaving…

Multimedia · Computer Science 2013-08-21 Angelo Ciaramella , Giulio Giunta

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad