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We introduce a structured low rank matrix completion algorithm to recover a series of images from their under-sampled measurements, where the signal along the parameter dimension at every pixel is described by a linear combination of…

计算机视觉与模式识别 · 计算机科学 2017-07-13 Arvind Balachandrasekaran , Vincent Magnotta , Mathews Jacob

We have developed an approximate signal recovery algorithm with low computational cost for compressed sensing on the basis of randomly constructed sparse measurement matrices. The law of large numbers and the central limit theorem suggest…

信息论 · 计算机科学 2011-02-21 Yoshiyuki Kabashima , Tadashi Wadayama

Grid modernization has increased the reliance of power networks on cyber networks within distribution systems (DSs), heightening their vulnerability to disasters. Communication network failures significantly impede DS load recovery by…

系统与控制 · 电气工程与系统科学 2024-03-05 Jian Zhong , Chen Chen , Zhaohong Bie , Mohammad Shahidehpour

Multi-view data arises frequently in modern network analysis e.g. relations of multiple types among individuals in social network analysis, longitudinal measurements of interactions among observational units, annotated networks with noisy…

统计理论 · 数学 2024-01-17 Xiaodong Yang , Buyu Lin , Subhabrata Sen

The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity. The…

最优化与控制 · 数学 2018-12-31 Jan Kuske , Stefania Petra

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

As many sensor network applications require deployment in remote and hard-to-reach areas, it is critical to ensure that such networks are capable of operating unattended for long durations. Consequently, the concept of using nodes with…

网络与互联网体系结构 · 计算机科学 2012-09-06 Rahul Srivastava , Can Emre Koksal

The increased complexity of infrastructure systems has resulted in critical interdependencies between multiple networks---communication systems require electricity, while the normal functioning of the power grid relies on communication…

物理与社会 · 物理学 2020-11-10 Michael M. Danziger , Albert-László Barabási

This article presents a method for recovering missing values in multidimensional time series. The method combines neural network technologies and an algorithm for searching snippets (behavioral patterns of a time series). It includes the…

人工智能 · 计算机科学 2023-12-13 Alexey Yurtin

Traffic data serves as a fundamental component in both research and applications within intelligent transportation systems. However, real-world transportation data, collected from loop detectors or similar sources, often contains missing…

机器学习 · 计算机科学 2023-09-12 Zepu Wang , Dingyi Zhuang , Yankai Li , Jinhua Zhao , Peng Sun , Shenhao Wang , Yulin Hu

The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS…

机器学习 · 统计学 2017-01-17 Ali Mousavi , Richard G. Baraniuk

Recovery of low-rank matrices has recently seen significant activity in many areas of science and engineering, motivated by recent theoretical results for exact reconstruction guarantees and interesting practical applications. A number of…

机器学习 · 统计学 2011-09-12 S. Derin Babacan , Martin Luessi , Rafael Molina , Aggelos K. Katsaggelos

The integrity of time series data in smart grids is often compromised by missing values due to sensor failures, transmission errors, or disruptions. Gaps in smart meter data can bias consumption analyses and hinder reliable predictions,…

人工智能 · 计算机科学 2025-02-21 Amir Sartipi , Joaquín Delgado Fernández , Sergio Potenciano Menci , Alessio Magitteri

Tensor completion aims to recover the missing entries of a partially observed tensor by exploiting its low-rank structure, and has been applied to visual data recovery. In applications where the data arrives sequentially such as streaming…

计算机视觉与模式识别 · 计算机科学 2022-08-15 Yicong He , George K. Atia

We examine the recovery of block sparse signals and extend the framework in two important directions; one by exploiting signals' intra-block correlation and the other by generalizing signals' block structure. We propose two families of…

机器学习 · 统计学 2015-03-19 Zhilin Zhang , Bhaskar D. Rao

Solving large tensor linear systems poses significant challenges due to the high volume of data stored, and it only becomes more challenging when some of the data is missing. Recently, Ma et al. showed that this problem can be tackled using…

数值分析 · 数学 2026-05-28 Anna Ma , Deanna Needell , Alexander Xue

Multiple measurement vector (MMV) problem addresses the recovery of a set of sparse signal vectors that share common non-zero support, and has emerged an important topics in compressed sensing. Even though the fundamental performance limit…

信息论 · 计算机科学 2015-10-20 O. K. Lee , J. C. Ye

Background and Objective: Processing electrophysiological signals often requires blind source separation (BSS) due to the nature of mixing source signals. However, its complex computational demands make real-time BSS challenging. The…

人机交互 · 计算机科学 2024-11-28 Yao Li , Haowen Zhao , Yunfei Liu , Xu Zhang

Sparse recovery and subset selection are fundamental problems in varied communities, including signal processing, statistics and machine learning. Herein, we focus on an important greedy algorithm for these problems: Backward Stepwise…

最优化与控制 · 数学 2021-06-08 Sebatian Ament , Carla Gomes

Optimal $k$-thresholding algorithms are a class of $k$-sparse signal recovery algorithms that overcome the shortcomings of traditional hard thresholding algorithms caused by the oscillation of the residual function. In this paper, a novel…

信息论 · 计算机科学 2022-06-22 Jialiang Xu , Xu Zhang