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We consider the problem of recovering the support of a sparse signal using noisy projections. While extensive work has been done on the dense measurement matrix setting, the sparse setting remains less explored. In this work, we establish…

机器学习 · 统计学 2025-09-03 Youssef Chaabouni , David Gamarnik

Autonomous Vehicles (AVs) refer to systems capable of perceiving their states and moving without human intervention. Among the factors required for autonomous decision-making in mobility, positional awareness of the vehicle itself is the…

密码学与安全 · 计算机科学 2025-12-25 Ji Hyuk Jung , Ji Won Yoon

Sparse identification of differential equations aims to compute the analytic expressions from the observed data explicitly. However, there exist two primary challenges. Firstly, it exhibits sensitivity to the noise in the observed data,…

数值分析 · 数学 2024-01-23 Yuhuang Meng , Yue Qiu

This paper presents a fast model-agnostic method for recovering noisy Phasor Measurement Unit (PMU) datastreams with missing entries. The measurements are first transformed into a Page matrix, and the original signals are reconstructed…

信号处理 · 电气工程与系统科学 2021-08-09 Shuchismita Biswas , Virgilio A. Centeno

Recent studies indicate that the noise characteristics of phasor measurement units (PMUs) can be more accurately described by non-Gaussian distributions. Consequently, estimation techniques based on Gaussian noise assumptions may produce…

信号处理 · 电气工程与系统科学 2024-04-26 Anushka Sharma , Antos Cheeramban Varghese , Anamitra Pal

Having actual models for power system components (such as generators and loads or auxiliary equipment) is vital to correctly assess the power system operating state and to establish stability margins. However, power system operators often…

信号处理 · 电气工程与系统科学 2020-01-22 Artem Mikhalev , Alexander Emchinov , Samuel Chevalier , Yury Maximov , Petr Vorobev

A cornerstone of the smart grid is the advanced monitorability on its assets and operations. Increasingly pervasive installation of the phasor measurement units (PMUs) allows the so-called synchrophasor measurements to be taken roughly 100…

应用统计 · 统计学 2017-08-17 Robert Qiu , Lei Chu , Xing He , Zenan Ling , Haichun Liu

Most adversarial attacks on point clouds perturb a large number of points, causing widespread geometric changes and limiting applicability in real-world scenarios. While recent works explore sparse attacks by modifying only a few points,…

密码学与安全 · 计算机科学 2025-12-16 Keke Tang , Tianyu Hao , Xiaofei Wang , Weilong Peng , Denghui Zhang , Peican Zhu , Zhihong Tian

We consider the problem of maintaining sparsity in private distributed storage of confidential machine learning data. In many applications, e.g., face recognition, the data used in machine learning algorithms is represented by sparse…

信息论 · 计算机科学 2022-06-15 Marvin Xhemrishi , Maximilian Egger , Rawad Bitar

We develop a data-driven framework for assessing the resilience of linear time-invariant systems against malicious false-data-injection sensor attacks. Leveraging sparse observability, we propose data-driven resilience metrics and derive…

系统与控制 · 电气工程与系统科学 2026-03-24 Takumi Shinohara , Karl Henrik Johansson , Henrik Sandberg

This paper proposes a method of passively estimating the parameters of frequency-modulated-continuous-wave (FMCW) radar signals with a wide range of structural parameter values and analyzes how a malicious actor could employ such estimates…

信号处理 · 电气工程与系统科学 2023-07-21 Andrew M. Graff , Todd E. Humphreys

This work proposes a global navigation satellite system (GNSS) spoofing detection and classification technique for single antenna receivers. We formulate an optimization problem at the baseband correlator domain by using the Least Absolute…

信号处理 · 电气工程与系统科学 2020-04-30 Erick Schmidt , Nikolaos Gatsis , David Akopian

Data corruption, including missing and noisy data, poses significant challenges in real-world machine learning. This study investigates the effects of data corruption on model performance and explores strategies to mitigate these effects…

机器学习 · 计算机科学 2025-05-22 Qi Liu , Wanjing Ma

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…

数值分析 · 数学 2009-05-28 Deanna Needell

The support recovery problem consists of determining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as compressive sensing, and subset selection in…

信息论 · 计算机科学 2016-08-31 Jonathan Scarlett , Volkan Cevher

Power systems become more prone to cyber-attacks due to the high integration of information technologies. In this paper, we demonstrate that the outages of some lines can be masked by injecting false data into a set of measurements. The…

密码学与安全 · 计算机科学 2015-11-24 Xuan Liu , Zhiyi Li , Zuyi Li

We consider the problem of exact support recovery of sparse signals via noisy measurements. The main focus is the sufficient and necessary conditions on the number of measurements for support recovery to be reliable. By drawing an analogy…

信息论 · 计算机科学 2010-03-04 Yuzhe Jin , Young-Han Kim , Bhaskar D. Rao

We consider the problem of sparse signal recovery from a small number of random projections (measurements). This is a well known NP-hard to solve combinatorial optimization problem. A frequently used approach is based on greedy iterative…

定量方法 · 定量生物学 2009-01-25 M. Andrecut

We propose an extension to the so-called PD detector. The PD detector jointly monitors received power and correlation profile distortion to detect the presence of GNSS carry-off-type spoofing, jamming, or multipath. We show that…

信号处理 · 电气工程与系统科学 2018-06-21 Jason N. Gross , Cagri Kilic , Todd E. Humphreys

Sparse recovery is widely applied in many fields, since many signals or vectors can be sparsely represented under some frames or dictionaries. Most of fast algorithms at present are based on solving $l^0$ or $l^1$ minimization problems and…

数值分析 · 数学 2019-03-06 Chong-Jun Li , Yi-Jun Zhong