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Related papers: On the Parallel Reconstruction from Pooled Data

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We consider the problem of recovering signals from their power spectral density. This is a classical problem referred to in literature as the phase retrieval problem, and is of paramount importance in many fields of applied sciences. In…

Information Theory · Computer Science 2013-11-12 Kishore Jaganathan , Samet Oymak , Babak Hassibi

The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems.…

Numerical Analysis · Mathematics 2008-11-04 Yuan Xu , Oleg Tischenko

In the near future, the Internet of Things will interconnect billions of devices, forming a vast network where users sporadically transmit short messages through multi-path wireless channels. These channels are characterized by the…

Information Theory · Computer Science 2025-05-05 Sajad Daei , Saeed Razavikia , Mikael Skoglund , Gabor Fodor , Carlo Fischione

Likelihood-free inference (LFI) methods, such as approximate Bayesian computation, have become commonplace for conducting inference in complex models. Many approaches are based on summary statistics or discrepancies derived from synthetic…

Methodology · Statistics 2025-06-06 David T. Frazier , Christopher Drovandi , Lucas Kock , David J. Nott

We address the problem of reconstructing a multi-band signal from its sub-Nyquist point-wise samples. To date, all reconstruction methods proposed for this class of signals assumed knowledge of the band locations. In this paper, we develop…

Cellular Automata and Lattice Gases · Physics 2007-09-12 Moshe Mishali , Yonina C. Eldar

In the analysis of complex, nonlinear time series, scientists in a variety of disciplines have relied on a time delayed embedding of their data, i.e. attractor reconstruction. The process has focused primarily on heuristic and empirical…

Chaotic Dynamics · Physics 2015-06-26 Louis M. Pecora , Linda Moniz , Jonathan Nichols , Thomas L. Carroll

In this paper, we compare and catalog the performance of various greedy quantized compressed sensing algorithms that reconstruct sparse signals from quantized compressed measurements. We also introduce two new greedy approaches for…

Information Theory · Computer Science 2016-01-01 Hao-Jun Michael Shi , Mindy Case , Xiaoyi Gu , Shenyinying Tu , Deanna Needell

Greedy Sampling Methods (GSMs) are widely used to construct approximate solutions of Configuration Optimization Problems (COPs), where a loss functional is minimized over finite configurations of points in a compact domain. While effective…

Optimization and Control · Mathematics 2026-01-09 Evie Nielen , Oliver Tse

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

Information Theory · Computer Science 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

In recent years, crowdsourcing, aka human aided computation has emerged as an effective platform for solving problems that are considered complex for machines alone. Using human is time-consuming and costly due to monetary compensations.…

Data Structures and Algorithms · Computer Science 2016-04-08 Arya Mazumdar , Barna Saha

We describe the Greedy Sparse Subspace Clustering (GSSC) algorithm providing an efficient method for clustering data belonging to a few low-dimensional linear or affine subspaces from incomplete corrupted and noisy data. We provide…

Numerical Analysis · Mathematics 2013-04-17 Alexander Petukhov , Inna Kozlov

In this paper we study the compressed sensing problem of recovering a sparse signal from a system of underdetermined linear equations when we have prior information about the probability of each entry of the unknown signal being nonzero. In…

Information Theory · Computer Science 2009-01-20 M. Amin Khajehnejad , Weiyu Xu , Salman Avestimehr , Babak Hassibi

Parallel acquisition systems arise in various applications in order to moderate problems caused by insufficient measurements in single-sensor systems. These systems allow simultaneous data acquisition in multiple sensors, thus alleviating…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Ben Adcock

In this paper, we expand the theory of depth-unbiased source localization to unbiased parameter estimation and signal reconstruction of an arbitrary number of non-zero parameters to be recovered. The topic touches on the concept of exact…

Information Theory · Computer Science 2026-05-08 Joonas Lahtinen

We discuss a method for sparse signal approximation, which is based on the correlation of the target signal with a pseudo-random signal, and uses a modification of the greedy matching pursuit algorithm. We show that this approach provides…

Data Analysis, Statistics and Probability · Physics 2011-05-26 M. Andrecut

Non-negative signals form an important class of sparse signals. Many algorithms have already beenproposed to recover such non-negative representations, where greedy and convex relaxed algorithms are among the most popular methods. The…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Konstantinos A. Voulgaris , Mike E. Davies , Mehrdad Yaghoobi

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

Consider a channel with a given input alphabet size and a given input distribution. Our aim is to degrade or upgrade it to a channel with at most L output letters. The paper contains four main results. The first result, from which the paper…

Information Theory · Computer Science 2017-03-16 Assaf Kartowsky , Ido Tal

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

Signal Processing · Electrical Eng. & Systems 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

Parallel imaging with linear predictability takes advantage of information present in multiple receive coils to accurately reconstruct the image with fewer samples. Commonly used algorithms based on linear predictability include GRAPPA and…

Image and Video Processing · Electrical Eng. & Systems 2023-01-19 Alex McManus , Stephen Becker , Nicholas Dwork
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