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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

We consider the problem of recovering two-dimensional (2-D) block-sparse signals with \emph{unknown} cluster patterns. Two-dimensional block-sparse patterns arise naturally in many practical applications such as foreground detection and…

信息论 · 计算机科学 2016-05-25 Jun Fang , Lizao Zhang , Hongbin Li

Many approaches to transform classification problems from non-linear to linear by feature transformation have been recently presented in the literature. These notably include sparse coding methods and deep neural networks. However, many of…

机器学习 · 计算机科学 2015-07-08 Alessandro Montalto , Giovanni Tessitore , Roberto Prevete

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

机器学习 · 计算机科学 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka

Sparse superposition codes were recently introduced by Barron and Joseph for reliable communication over the AWGN channel at rates approaching the channel capacity. The codebook is defined in terms of a Gaussian design matrix, and codewords…

信息论 · 计算机科学 2017-03-14 Cynthia Rush , Adam Greig , Ramji Venkataramanan

Sparse signal recovery deals with finding the sparsest solution of an under-determined linear system $\vx = \mQ\vs$. In this paper, we propose a novel greedy approach to addressing the challenges from such a problem. Such an approach is…

信息论 · 计算机科学 2026-04-09 Gang Li , Qiuwei Li , Shuang Li , Wu Angela Li

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

信号处理 · 电气工程与系统科学 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We study the support recovery problem for compressed sensing, where the goal is to reconstruct the a high-dimensional $K$-sparse signal $\mathbf{x}\in\mathbb{R}^N$, from low-dimensional linear measurements with and without noise. Our key…

信息论 · 计算机科学 2018-02-27 Xiao Li , Dong Yin , Sameer Pawar , Ramtin Pedarsani , Kannan Ramchandran

This paper investigates the recovery of a node-domain sparse graph signal from the output of a graph filter. This problem, which is often referred to as the identification of the source of a diffused sparse graph signal, is seminal in the…

信号处理 · 电气工程与系统科学 2024-11-08 Gal Morgenstern , Tirza Routtenberg

Graph Neural Networks (GNNs) are a computationally efficient method to learn embeddings and classifications on graph data. However, GNN training has low computational intensity, making communication costs the bottleneck for scalability.…

机器学习 · 计算机科学 2025-04-08 Ujjaini Mukhodopadhyay , Alok Tripathy , Oguz Selvitopi , Katherine Yelick , Aydin Buluc

Data gathering operations in remote locations often rely on relay drones, which collect, store and deliver transmitted information to a ground control station. The probability of the ground control station successfully reconstructing the…

信息论 · 计算机科学 2022-03-08 Ioannis Chatzigeorgiou

We investigate power allocation for the base matrix of a spatially coupled sparse regression code (SC-SPARC) for reliable communications over an additive white Gaussian noise channel. A conventional SC-SPARC allocates power uniformly to the…

信息论 · 计算机科学 2023-05-16 Nian Guo , Shansuo Liang , Wei Han

This paper addresses the blind recovery of the parity check matrix of an (n,k) linear block code over noisy channels by proposing a fast recovery scheme consisting of 3 parts. Firstly, this scheme performs initial error position detection…

信息论 · 计算机科学 2023-05-09 Peng Wang , Yong Liang Guan , Lipo Wang , Peng Cheng

Spectrum sensing is an important process in cognitive radio. A number of sensing techniques that have been proposed suffer from high processing time, hardware cost and computational complexity. To address these problems, compressive sensing…

信号处理 · 电气工程与系统科学 2018-01-31 Youness Arjoune , Naima Kaabouch , Hassan El Ghazi , Ahmed Tamtaoui

Principal component regression (PCR) is a widely used two-stage procedure: principal component analysis (PCA), followed by regression in which the selected principal components are regarded as new explanatory variables in the model. Note…

机器学习 · 统计学 2018-04-03 Shuichi Kawano , Hironori Fujisawa , Toyoyuki Takada , Toshihiko Shiroishi

Unsourced random-access (U-RA) is a type of grant-free random access with a virtually unlimited number of users, of which only a certain number $K_a$ are active on the same time slot. Users employ exactly the same codebook, and the task of…

信息论 · 计算机科学 2021-12-10 Alexander Fengler , Peter Jung , Giuseppe Caire

We describe the Greedy Sparse Subspace Clustering (GSSC) algorithm providing an efficient method for clustering data belonging to a few low-dimensional linear or affine subspaces from incomplete corrupted and noisy data. We provide…

数值分析 · 数学 2013-04-17 Alexander Petukhov , Inna Kozlov

Consider a spectrally sparse signal $\boldsymbol{x}$ that consists of $r$ complex sinusoids with or without damping. We study the robust recovery problem for the spectrally sparse signal under the fully observed setting, which is about…

信息论 · 计算机科学 2021-02-05 HanQin Cai , Jian-Feng Cai , Tianming Wang , Guojian Yin

Dictionary learning is a cutting-edge area in imaging processing, that has recently led to state-of-the-art results in many signal processing tasks. The idea is to conduct a linear decomposition of a signal using a few atoms of a learned…

机器学习 · 统计学 2016-05-26 Simeng Qu , Xiao Wang

Sparse representation has been applied successfully in abnormal event detection, in which the baseline is to learn a dictionary accompanied by sparse codes. While much emphasis is put on discriminative dictionary construction, there are no…

计算机视觉与模式识别 · 计算机科学 2016-03-15 Huamin Ren , Hong Pan , Søren Ingvor Olsen , Thomas B. Moeslund