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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…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti

We study the information-theoretic limits of exactly recovering the support of a sparse signal using noisy projections defined by various classes of measurement matrices. Our analysis is high-dimensional in nature, in which the number of…

统计理论 · 数学 2008-06-04 Wei Wang , Martin J. Wainwright , Kannan Ramchandran

In phase retrieval, the goal is to recover a complex signal from the magnitude of its linear measurements. While many well-known algorithms guarantee deterministic recovery of the unknown signal using i.i.d. random measurement matrices,…

信息论 · 计算机科学 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

The matrix recovery (completion) problem, a central problem in data science and theoretical computer science, is to recover a matrix $A$ from a relatively small sample of entries. While such a task is impossible in general, it has been…

统计理论 · 数学 2025-03-06 BaoLinh Tran , Van Vu

We study the problem of recovering the underlining sparse signals from clean or noisy phaseless measurements. Due to the sparse prior of signals, we adopt an L0regularized variational model to ensure only a small number of nonzero elements…

最优化与控制 · 数学 2016-12-09 Yuping Duan , Chunlin Wu , Zhi-Feng Pang , Huibin Chang

This paper proposes a novel online measurement-based Wide-Area Voltage Control (WAVC) method using Phasor Measurement Unit (PMU) data in power systems with Flexible AC Transmission System (FACTS) devices. As opposed to previous WAVC…

系统与控制 · 电气工程与系统科学 2021-02-11 Georgia Pierrou , Xiaozhe Wang

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

In this paper, we will investigate the efficacy of IMAT (Iterative Method of Adaptive Thresholding) in recovering the sparse signal (parameters) for linear models with missing data. Sparse recovery rises in compressed sensing and machine…

机器学习 · 计算机科学 2016-06-14 Ashkan Esmaeili , Farokh Marvasti

The problem of imbalance detection in a three-phase power system using a phasor measurement unit (PMU) is considered. A general model for the zero, positive, and negative sequences from a PMU measurement at off-nominal frequencies is…

应用统计 · 统计学 2016-11-18 Tirza Routtenberg , Yao Xie , Rebecca M. Willett , Lang Tong

In sensing applications, sensors cannot always measure the latent quantity of interest at the required resolution, sometimes they can only acquire a blurred version of it due the sensor's transfer function. To recover latent signals when…

机器学习 · 统计学 2017-07-20 Felipe Tobar , Gonzalo Rios , Tomás Valdivia , Pablo Guerrero

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

信息论 · 计算机科学 2015-10-28 Sohail Bahmani , Justin Romberg

Accurate knowledge of transmission line parameters is essential for a variety of power system monitoring, protection, and control applications. The use of phasor measurement unit (PMU) data for transmission line parameter estimation (TLPE)…

信号处理 · 电气工程与系统科学 2022-08-30 Antos Cheeramban Varghese , Anamitra Pal , Gautam Dasarathy

We present a new recovery analysis for a standard compressed sensing algorithm, Iterative Hard Thresholding (IHT) (Blumensath and Davies, 2008), which considers the fixed points of the algorithm. In the context of arbitrary measurement…

数值分析 · 数学 2014-11-10 Coralia Cartis , Andrew Thompson

We consider the following signal recovery problem: given a measurement matrix $\Phi\in \mathbb{R}^{n\times p}$ and a noisy observation vector $c\in \mathbb{R}^{n}$ constructed from $c = \Phi\theta^* + \epsilon$ where $\epsilon\in…

机器学习 · 统计学 2013-07-23 Ji Liu , Lei Yuan , Jieping Ye

Atmospheric aerosols have a major influence on the earths climate and public health. Hence, studying their properties and recovering them from light scattering measurements is of great importance. State of the art retrieval methods such as…

大气与海洋物理 · 物理学 2021-11-16 Romana Boiger , Rob L. Modini , Alireza Moallemi , David Degen , Martin Gysel-Beer , Andreas Adelmann

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

信息论 · 计算机科学 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

最优化与控制 · 数学 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

Phasor measurement units (PMUs) are important devices for protection, monitoring, and control of modern power systems. Unlike the supervisory control and data acquisition (SCADA) system which only measure the magnitude, PMUs can provide a…

系统与控制 · 电气工程与系统科学 2021-05-06 Lorena Palmero , Ugur Saritac , Ali Dehghan Chaharabi

Recovering a stochastic process from noisy ensembles of single particle trajectories (SPTs) is resolved here using the Langevin equation as a model. The massive redundancy contained in SPTs data allows recovering local parameters of the…

亚细胞过程 · 定量生物学 2015-11-18 Nathanael Hoze , David Holcman

Power distribution systems increasingly rely on dense sensor networks for real-time monitoring, yet unreliable communication links and equipment malfunctions often result in missing or incomplete measurement sets at the operating center,…

系统与控制 · 电气工程与系统科学 2026-03-10 Biswas Rudra Jyoti Arka , Md Zahidul Islam , Yuzhang Lin , Vinod M. Vokkarane , Junbo Zhao