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The problem of finding the missing values of a matrix given a few of its entries, called matrix completion, has gathered a lot of attention in the recent years. Although the problem under the standard low rank assumption is NP-hard,…

Machine Learning · Computer Science 2014-12-01 Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

In this paper, we consider the block-sparse signals recovery problem in the context of multiple measurement vectors (MMV) with common row sparsity patterns. We develop a new method for recovery of common row sparsity MMV signals, where a…

Machine Learning · Computer Science 2017-11-07 Hang Xiao , Zhengli Xing , Linxiao Yang , Jun Fang , Yanlun Wu

In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

Information Theory · Computer Science 2016-01-27 Kyung Su Kim , Sae-Young Chung

Accurate network data are essential in fields such as economics, sociology, and computer science. Aggregated Relational Data (ARD) provides a way to capture network structures using partial data. This article compares two main frameworks…

Econometrics · Economics 2025-04-17 Yen-hsuan Tseng

In this paper, we consider the problem of sparse recovery from nonlinear measurements, which has applications in state estimation and bad data detection for power networks. An iterative mixed $\ell_1$ and $\ell_2$ convex program is used to…

Information Theory · Computer Science 2013-01-08 Weiyu Xu , Meng Wang , Jianfeng Cai , Ao Tang

Limited measurement availability at the distribution grid presents challenges for state estimation and situational awareness. This paper combines the advantages of two sparsity-based state estimation approaches (matrix completion and…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Shweta Dahale , Balasubramaniam Natarajan

Blind Compressed Sensing (BCS) is an extension of Compressed Sensing (CS) where the optimal sparsifying dictionary is assumed to be unknown and subject to estimation (in addition to the CS sparse coefficients). Since the emergence of BCS,…

Information Theory · Computer Science 2015-08-11 Mohammad Aghagolzadeh , Hayder Radha

Treating data from each sensor in an IoT installation on its own separately is wasteful. This article shows how to treat them as a multi-channel time series and introduces the State-space model formulation of Structural Vector…

Signal Processing · Electrical Eng. & Systems 2021-06-07 PG Madhavan

Data analytics and data science play a significant role in nowadays society. In the context of Smart Grids (SG), the collection of vast amounts of data has seen the emergence of a plethora of data analysis approaches. In this paper, we…

Other Computer Science · Computer Science 2019-12-02 Bruno Rossi , Stanislav Chren

Spectrum sensing, which aims at detecting spectrum holes, is the precondition for the implementation of cognitive radio (CR). Collaborative spectrum sensing among the cognitive radio nodes is expected to improve the ability of checking…

Information Theory · Computer Science 2015-11-23 Jia Meng , Wotao Yin , Husheng Li , Ekram Hossain , Zhu Han

In various application areas, networked data is collected by measuring interactions involving some specific set of core nodes. This results in a network dataset containing the core nodes along with a potentially much larger set of fringe…

Social and Information Networks · Computer Science 2019-05-16 Ilya Amburg , Jon Kleinberg , Austin R. Benson

We study the recovery of multiple high-dimensional signals from two noisy, correlated modalities: a spiked matrix and a spiked tensor sharing a common low-rank structure. This setting generalizes classical spiked matrix and tensor models,…

Machine Learning · Statistics 2025-06-04 Hugo Tabanelli , Pierre Mergny , Lenka Zdeborova , Florent Krzakala

A novel algorithm for the recovery of low-rank matrices acquired via compressive linear measurements is proposed and analyzed. The algorithm, a variation on the iterative hard thresholding algorithm for low-rank recovery, is designed to…

Numerical Analysis · Mathematics 2018-10-30 Simon Foucart , Srinivas Subramanian

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

Recovery of internet network traffic data from incomplete observed data is an important issue in internet network engineering and management. In this paper, by fully combining the temporal stability and periodicity features in internet…

Numerical Analysis · Mathematics 2020-05-25 Chen Ling , Gaohang Yu , Liqun Qi , Yanwei Xu

In this paper, we propose a new sparse signal recovery algorithm, referred to as sparse Kalman tree search (sKTS), that provides a robust reconstruction of the sparse vector when the sequence of correlated observation vectors are available.…

Information Theory · Computer Science 2015-12-08 Jun Won Choi , Byonghyo Shim

Large-scale data collection by means of wireless sensor network and internet-of-things technology poses various challenges in view of the limitations in transmission, computation, and energy resources of the associated wireless devices.…

Signal Processing · Electrical Eng. & Systems 2017-09-25 Nikos Deligiannis , João F. C. Mota , Evangelos Zimos , Miguel R. D. Rodrigues

Modelling block maxima using the generalised extreme value (GEV) distribution is a classical and widely used method for studying univariate extremes. It allows for theoretically motivated estimation of return levels, including extrapolation…

Methodology · Statistics 2026-02-02 Emma S. Simpson , Paul J. Northrop

We probe the multipartite entanglement structure of the vacuum state of a CFT in 1+1 dimensions, using recovery operations that attempt to reconstruct the density matrix in some region from its reduced density matrices on smaller…

High Energy Physics - Theory · Physics 2023-07-28 Shreya Vardhan , Annie Y. Wei , Yijian Zou

This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of…

Information Theory · Computer Science 2017-09-19 Jinchi Chen , Yulong Liu