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The randomized projection (RP) method is a simple iterative scheme for solving linear feasibility problems and has recently gained popularity due to its speed and low memory requirement. This paper develops an accelerated variant of the…

最优化与控制 · 数学 2022-11-21 Lin Zhu , Yuan Lei , Jiaxin Xie

Subspace clustering is the problem of partitioning unlabeled data points into a number of clusters so that data points within one cluster lie approximately on a low-dimensional linear subspace. In many practical scenarios, the…

机器学习 · 统计学 2019-01-24 Yining Wang , Yu-Xiang Wang , Aarti Singh

We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP). We demonstrate that an appropriate choice of thresholding…

信号处理 · 电气工程与系统科学 2021-03-23 Hai Le , Alexei Novikov

In this paper, we consider the problem of joint sparsity pattern recovery in a distributed sensor network. The sparse multiple measurement vector signals (MMVs) observed by all the nodes are assumed to have a common (but unknown) sparsity…

信息论 · 计算机科学 2016-01-27 Gang Li , Thakshila Wimalajeewa , Pramod K. Varshney

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

信息论 · 计算机科学 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

We present a theoretical analysis of the average performance of OMP for sparse approximation. For signals that are generated from a dictionary with $K$ atoms and coherence $\mu$ and coefficients corresponding to a geometric sequence with…

信息论 · 计算机科学 2019-07-16 Karin Schnass

We propose an efficient approach to semidefinite spectral clustering (SSC), which addresses the Frobenius normalization with the positive semidefinite (p.s.d.) constraint for spectral clustering. Compared with the original Frobenius norm…

机器学习 · 计算机科学 2014-02-25 Yan Yan , Chunhua Shen , Hanzi Wang

This article discusses the single Depot multiple Set Orienteering Problem (sDmSOP), a recently suggested generalization of the Set Orienteering Problem (SOP). This problem aims to discover a path for each traveler over a subset of vertices,…

最优化与控制 · 数学 2024-11-20 Ravi Kant , Sarthak Agarwal , Aakash Gupta , Abhishek Mishra

Contrastive learning has recently attracted plenty of attention in deep graph clustering for its promising performance. However, complicated data augmentations and time-consuming graph convolutional operation undermine the efficiency of…

机器学习 · 计算机科学 2022-06-28 Yue Liu , Xihong Yang , Sihang Zhou , Xinwang Liu

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

信息论 · 计算机科学 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

This paper aims at developing a clustering approach with spectral images directly from CASSI compressive measurements. The proposed clustering method first assumes that compressed measurements lie in the union of multiple low-dimensional…

图像与视频处理 · 电气工程与系统科学 2019-11-06 Jianchen Zhu , Tong Zhang , Shengjie Zhao , Carlos Hinojosa , Zengli Liu , Gonzalo R. Arce

Greedy Sampling Methods (GSMs) are widely used to construct approximate solutions of Configuration Optimization Problems (COPs), where a loss functional is minimized over finite configurations of points in a compact domain. While effective…

最优化与控制 · 数学 2026-01-09 Evie Nielen , Oliver Tse

This paper seeks to bridge the two major algorithmic approaches to sparse signal recovery from an incomplete set of linear measurements -- L_1-minimization methods and iterative methods (Matching Pursuits). We find a simple regularized…

数值分析 · 数学 2008-03-15 Deanna Needell , Roman Vershynin

In this article, we discuss a novel greedy algorithm for the recovery of compressive sampled signals under noisy conditions. Most of the greedy recovery algorithms proposed in the literature require sparsity of the signal to be known or…

信息论 · 计算机科学 2014-12-18 V. Meena , G. Abhilash

Hard Thresholding Pursuit (HTP) is an iterative greedy selection procedure for finding sparse solutions of underdetermined linear systems. This method has been shown to have strong theoretical guarantee and impressive numerical performance.…

机器学习 · 计算机科学 2013-11-26 Xiao-Tong Yuan , Ping Li , Tong Zhang

In this paper, we propose an algorithm referred to as multipath matching pursuit that investigates multiple promising candidates to recover sparse signals from compressed measurements. Our method is inspired by the fact that the problem to…

信息论 · 计算机科学 2014-03-11 Suhyuk , Kwon , Jian Wang , Byonghyo Shim

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

机器学习 · 计算机科学 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

Greedy optimization methods such as Matching Pursuit (MP) and Frank-Wolfe (FW) algorithms regained popularity in recent years due to their simplicity, effectiveness and theoretical guarantees. MP and FW address optimization over the linear…

机器学习 · 计算机科学 2017-11-21 Francesco Locatello , Michael Tschannen , Gunnar Rätsch , Martin Jaggi

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

计算机视觉与模式识别 · 计算机科学 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

机器学习 · 计算机科学 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa
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