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Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

Numerical Analysis · Mathematics 2009-05-28 Deanna Needell

Spectral algorithms are an important building block in machine learning and graph algorithms. We are interested in studying when such algorithms can be applied directly to provide optimal solutions to inference tasks. Previous works by…

Data Structures and Algorithms · Computer Science 2022-10-13 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

Other Computer Science · Computer Science 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

Numerical Analysis · Mathematics 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

We consider the problem of signal reconstruction for a system under sparse signal corruption by a malicious agent. The reconstruction problem follows the standard error coding problem that has been studied extensively in the literature. We…

Optimization and Control · Mathematics 2023-04-28 Yu Zheng , Olugbenga Moses Anubi , Lalit Mestha , Hema Achanta

This work presents joint minimum mean-square error (MMSE) consensus algorithm and relay selection algorithms for distributed beamforming. We propose joint MMSE consensus relay and selection schemes with a total power constraint and local…

Information Theory · Computer Science 2017-07-05 H. Ruan , R. C. de Lamare

The graph embedding (GE) methods have been widely applied for dimensionality reduction of hyperspectral imagery (HSI). However, a major challenge of GE is how to choose proper neighbors for graph construction and explore the spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Hong Huang , Guangyao Shi , Haibo He , Yule Duan , Fulin Luo

State estimation is crucial for the monitoring and control of post-combustion CO2 capture plants (PCCPs). The performance of state estimation is highly reliant on the configuration of sensors. In this work, we consider the problem of sensor…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Siyu Liu , Xunyuan Yin , Jinfeng Liu

We study a pair of budget- and performance-constrained weak-submodular maximization problems. For computational efficiency, we explore the use of stochastic greedy algorithms which limit the search space via random sampling instead of the…

Optimization and Control · Mathematics 2026-03-06 Ege C. Kaya , Michael Hibbard , Takashi Tanaka , Ufuk Topcu , Abolfazl Hashemi

Sampling of a spatiotemporal field for environmental sensing is of interest. Traditionally, a few fixed stations or sampling locations aid in the reconstruction of the spatial field. Recently, there has been an interest in mobile sensing…

Information Theory · Computer Science 2017-12-06 Sudeep Salgia , Animesh Kumar

Compressed sensing (CS) has emerged to overcome the inefficiency of Nyquist sampling. However, traditional optimization-based reconstruction is slow and can not yield an exact image in practice. Deep learning-based reconstruction has been a…

Image and Video Processing · Electrical Eng. & Systems 2024-09-20 Seongmin Hong , Jaehyeok Bae , Jongho Lee , Se Young Chun

We give a new, very general, formulation of the compressed sensing problem in terms of coordinate projections of an analytic variety, and derive sufficient sampling rates for signal reconstruction. Our bounds are linear in the coherence of…

Machine Learning · Computer Science 2013-11-05 Franz J. Király , Louis Theran

We present a data compression and dimensionality reduction scheme for data fusion and aggregation applications to prevent data congestion and reduce energy consumption at network connecting points such as cluster heads and gateways. Our…

Networking and Internet Architecture · Computer Science 2014-08-14 Mohammad Abu Alsheikh , Puay Kai Poh , Shaowei Lin , Hwee-Pink Tan , Dusit Niyato

We focus on a multidimensional field with uncorrelated spectrum, and study the quality of the reconstructed signal when the field samples are irregularly spaced and affected by independent and identically distributed noise. More…

Information Theory · Computer Science 2009-11-13 A. Nordio , C-F. Chiasserini , E. Viterbo

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Compressive Sensing has been utilized in Cognitive Radio Networks (CRNs) to exploit the sparse nature of the occupation of the primary users. Also, distributed spectrum sensing has been proposed to tackle the wireless channel problems, like…

Information Theory · Computer Science 2016-06-14 Mohamed Seif , Tamer Elbatt , Karim G. Seddik

This paper considers the problem of safely coordinating a team of sensor-equipped robots to reduce uncertainty about a dynamical process, where the objective trades off information gain and energy cost. Optimizing this trade-off is…

In this paper, we consider the problem of column subset selection. We present a novel analysis of the spectral norm reconstruction for a simple randomized algorithm and establish a new bound that depends explicitly on the sampling…

Numerical Analysis · Mathematics 2015-05-05 Tianbao Yang , Lijun Zhang , Rong Jin , Shenghuo Zhu

This survey revisits classical combinatorial optimization algorithms and extends them to two-stage stochastic models, particularly focusing on client-element problems. We reformulate these problems to optimize element selection under…

Optimization and Control · Mathematics 2024-09-04 Phuong Le

We consider the problem of reconstructing wideband frequency spectra from distributed, compressive measurements. The measurements are made by a network of nodes, each independently mixing the ambient spectra with low frequency, random…

Information Theory · Computer Science 2015-06-25 Thomas Kealy , Oliver Johnson , Robert Piechocki
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