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In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

Distributed Compressive Sensing (DCS) improves the signal recovery performance of multi signal ensembles by exploiting both intra- and inter-signal correlation and sparsity structure. However, the existing DCS was proposed for a very…

Information Theory · Computer Science 2012-11-29 Jeonghun Park , Seunggye Hwang , Janghoon Yang , Dongku Kim

Distributed compressed sensing is concerned with representing an ensemble of jointly sparse signals using as few linear measurements as possible. Two novel joint reconstruction algorithms for distributed compressed sensing are presented in…

Information Theory · Computer Science 2014-05-22 Diego Valsesia , Giulio Coluccia , Enrico Magli

Distributed statistical learning has become a popular technique for large-scale data analysis. Most existing work in this area focuses on dividing the observations, but we propose a new algorithm, DDAC-SpAM, which divides the features under…

Machine Learning · Computer Science 2023-07-11 Yifan He , Ruiyang Wu , Yong Zhou , Yang Feng

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

We show that several important resource allocation problems in wireless networks fit within the common framework of Constraint Satisfaction Problems (CSPs). Inspired by the requirements of these applications, where variables are located at…

Artificial Intelligence · Computer Science 2013-09-19 K. R. Duffy , C. Bordenave , D. J. Leith

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, whose number, orientations, and dimensions are all unknown. In practice one may have access to…

Machine Learning · Statistics 2015-12-15 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

Information Theory · Computer Science 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

Numerical Analysis · Computer Science 2009-01-08 Wei Dai , Olgica Milenkovic

Due to the limitations of optical lens focal length and detector resolution, distant clustered infrared small targets often appear as mixed spots. The Close Small Object Unmixing (CSOU) task aims to recover the number, sub-pixel positions,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Zhiyang Tang , Yiming Zhu , Ruimin Huang , Meng Yang , Yong Ma , Jun Huang , Fan Fan

Sparse Subspace Clustering (SSC) is a state-of-the-art method for clustering high-dimensional data points lying in a union of low-dimensional subspaces. However, while $\ell_1$ optimization-based SSC algorithms suffer from high…

Machine Learning · Computer Science 2018-02-14 Yanxi Chen , Gen Li , Yuantao Gu

Spatial Reuse (SR) is a cost-effective technique for improving spectral efficiency in dense IEEE 802.11 deployments by enabling simultaneous transmissions. However, the decentralized optimization of SR parameters -- transmission power and…

Networking and Internet Architecture · Computer Science 2026-02-10 Francesc Wilhelmi , Boris Bellalta , Miguel Casasnovas , Aleksandra Kijanka , Miguel Calvo-Fullana

Recently, many new challenges in Compressed Sensing (CS), such as block sparsity, arose. In this paper, we present a new algorithm for solving CS with block sparse constraints (BSC) in complex fields. Firstly, based on block sparsity…

Information Theory · Computer Science 2022-09-20 Hui Zhang , Xin Liu , Naihua Xiu

We propose distributed solutions to the problem of Robust Subspace Recovery (RSR). Our setting assumes a huge dataset in an ad hoc network without a central processor, where each node has access only to one chunk of the dataset.…

Numerical Analysis · Mathematics 2018-11-07 Vahan Huroyan , Gilad Lerman

We consider the problem of recovering off-the-grid spikes from linear measurements. The state of the art Over-Parametrized Continuous Orthogonal Matching Pursuit (OP-COMP) with Projected Gradient Descent (PGD) successfully recovers those…

Numerical Analysis · Mathematics 2024-02-20 Pierre-Jean Bénard , Yann Traonmilin , Jean François Aujol

This material introduces the D-Subspace algorithm derived on the basis of the centralized algorithm [1], which originally addresses parameter estimation problems under a subspace constraint.

Signal Processing · Electrical Eng. & Systems 2024-11-19 Yitong Chen , Danqi Jin , Jie Chen , Cedric Richard

State-of-the-art algorithms for sparse subspace clustering perform spectral clustering on a similarity matrix typically obtained by representing each data point as a sparse combination of other points using either basis pursuit (BP) or…

Machine Learning · Computer Science 2017-11-02 Abolfazl Hashemi , Haris Vikalo

Existing information theoretic work in decentralized detection is largely focused on parallel configuration of Wireless Sensor Networks (WSNs), where an individual hard or soft decision is computed at each sensor node and then transmitted…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-09 Yasaman Keshtkarjahromi , Rashid Ansari , Ashfaq Khokhar

We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{subspace thresholding pursuit} (STP) in this paper, is a…

Information Theory · Computer Science 2014-05-22 Chao-Bing Song , Shu-Tao Xia , Xin-Ji Liu

Decentralized Federated Learning (DFL) enables collaborative model training without a central server but faces challenges in efficiency, stability, and trustworthiness due to communication and computational limitations among distributed…

Machine Learning · Computer Science 2025-03-18 Shan Sha , Shenglong Zhou , Lingchen Kong , Geoffrey Ye Li