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Compressed Sensing (CS) is a signal processing technique which can accurately recover sparse signals from linear measurements with far fewer number of measurements than those required by the classical Shannon-Nyquist theorem. Block sparse…

信息论 · 计算机科学 2019-01-30 Haifeng Li , Jinming Wen

The mitigation of clutter is an important research branch in Integrated Sensing and Communication (ISAC), one of the emerging technologies of future cellular networks. In this work, we extend our previously introduced method Clutter Removal…

信号处理 · 电气工程与系统科学 2024-10-28 Marcus Henninger , Silvio Mandelli , Artjom Grudnitsky , Stephan ten Brink

Compressive sensing(CS) has drawn much attention in recent years due to its low sampling rate as well as high recovery accuracy. As an important procedure, reconstructing a sparse signal from few measurement data has been intensively…

信息论 · 计算机科学 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

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…

机器学习 · 计算机科学 2018-02-14 Yanxi Chen , Gen Li , Yuantao Gu

Unions of subspaces provide a powerful generalization to linear subspace models for collections of high-dimensional data. To learn a union of subspaces from a collection of data, sets of signals in the collection that belong to the same…

机器学习 · 计算机科学 2016-10-28 Eva L. Dyer , Aswin C. Sankaranarayanan , Richard G. Baraniuk

The performance of space-time adaptive processing (STAP) is often degraded by factors such as limited sample size and moving targets. Traditional clutter covariance matrix (CCM) estimation relies on Euclidean metrics, which fail to capture…

综合数学 · 数学 2025-01-08 Jia-Mian Li , Jian-Yi Chen , Bing-Zhao Li

Spectral algorithms are classic approaches to clustering and community detection in networks. However, for sparse networks the standard versions of these algorithms are suboptimal, in some cases completely failing to detect communities even…

社会与信息网络 · 计算机科学 2014-01-20 Florent Krzakala , Cristopher Moore , Elchanan Mossel , Joe Neeman , Allan Sly , Lenka Zdeborová , Pan Zhang

Sparse subspace clustering (SSC) relies on sparse regression for accurate neighbor identification. Inspired by recent progress in compressive sensing, this paper proposes a new sparse regression scheme for SSC via two-step reweighted…

信息论 · 计算机科学 2019-07-18 Jwo-Yuh Wu , Liang-Chi Huang , Ming-Hsun Yang , Chun-Hung Liu

Deep neural networks (DNNs) have been proven to be effective in solving many real-life problems, but its high computation cost prohibits those models from being deployed to edge devices. Pruning, as a method to introduce zeros to model…

机器学习 · 计算机科学 2021-12-22 Fei Sun , Minghai Qin , Tianyun Zhang , Xiaolong Ma , Haoran Li , Junwen Luo , Zihao Zhao , Yen-Kuang Chen , Yuan Xie

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

Sparse recovery is one of the most fundamental and well-studied inverse problems. Standard statistical formulations of the problem are provably solved by general convex programming techniques and more practical, fast (nearly-linear time)…

数据结构与算法 · 计算机科学 2022-03-09 Jonathan A. Kelner , Jerry Li , Allen Liu , Aaron Sidford , Kevin Tian

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

机器学习 · 计算机科学 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

A sparse recovery approach for direction finding in partly calibrated arrays composed of subarrays with unknown displacements is introduced. The proposed method is based on mixed nuclear norm and 1 norm minimization and exploits…

信息论 · 计算机科学 2018-02-14 Christian Steffens , Marius Pesavento

In this paper, by exploiting the special features of temporal correlations of dynamic sparse channels that path delays change slowly over time but path gains evolve faster, we propose the structured matching pursuit (SMP) algorithm to…

信息论 · 计算机科学 2015-07-21 Xudong Zhu , Linglong Dai , Guan Gui , Wei Dai , Zhaocheng Wang , Fumiyuki Adachi

We formulate the sparse classification problem of $n$ samples with $p$ features as a binary convex optimization problem and propose a cutting-plane algorithm to solve it exactly. For sparse logistic regression and sparse SVM, our algorithm…

最优化与控制 · 数学 2025-01-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

We study graph clustering in the Stochastic Block Model (SBM) in the presence of both large clusters and small, unrecoverable clusters. Previous convex relaxation approaches achieving exact recovery do not allow any small clusters of size…

机器学习 · 计算机科学 2025-02-25 Matthew Zurek , Yudong Chen

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

机器学习 · 统计学 2021-06-09 Hankui Peng , Nicos G. Pavlidis

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

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

机器学习 · 计算机科学 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester