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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

In analogy to compressed sensing, which allows sample-efficient signal reconstruction given prior knowledge of its sparsity in frequency domain, we propose to utilize policy simplicity (Occam's Razor) as a prior to enable sample-efficient…

机器学习 · 计算机科学 2020-09-25 Nathan Zhao , Beicheng Lou

A sufficient condition reported very recently for perfect recovery of a K-sparse vector via orthogonal matching pursuit (OMP) in K iterations is that the restricted isometry constant of the sensing matrix satisfies…

信息论 · 计算机科学 2014-01-06 Ling-Hua Chang , Jwo-Yuh Wu

Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matching pursuit (OMP) is one of the most effective algorithm. In this paper, we use the restricted isometry property to…

泛函分析 · 数学 2011-06-01 Yi Shen , Song Li

Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied in the literature. In this paper, we show that for any $K$-sparse signal $\x$, if the sensing matrix $\A$…

信息论 · 计算机科学 2018-07-13 JInming Wen , Zhengchun Zhou , Jian Wang , Xiaohu Tang , Qun Mo

This paper provides a simple proof of the mutual incoherence condition $\mu < \frac{1}{2K-1}$ under which K-sparse signal can be accurately reconstructed from a small number of linear measurements using the orthogonal matching pursuit (OMP)…

信息论 · 计算机科学 2011-05-24 Jian Wang , Byonghyo Shim

Sign truncated matching pursuit (STrMP) algorithm is presented in this paper. STrMP is a new greedy algorithm for the recovery of sparse signals from the sign measurement, which combines the principle of consistent reconstruction with…

信息论 · 计算机科学 2013-12-13 Wenhui Liu , Da Gong , Zhiqiang Xu

As an extension of orthogonal matching pursuit (OMP) improving the recovery performance of sparse signals, generalized OMP (gOMP) has recently been studied in the literature. In this paper, we present a new analysis of the gOMP algorithm…

信息论 · 计算机科学 2015-06-15 Jian Wang , Suhyuk Kwon , Ping Li , Byonghyo Shim

In this paper, the joint support recovery of several sparse signals whose supports present similarities is examined. Each sparse signal is acquired using the same noisy linear measurement process, which returns fewer observations than the…

信息论 · 计算机科学 2017-02-20 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

The orthogonal matching pursuit (OMP) is an algorithm to solve sparse approximation problems. Sufficient conditions for exact recovery are known with and without noise. In this paper we investigate the applicability of the OMP for the…

数值分析 · 数学 2010-10-26 Loic Denis , Dirk A. Lorenz , Dennis Trede

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

数值分析 · 计算机科学 2015-02-13 Yuanyi Xue , Yao Wang

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

Action representation is an important yet often overlooked aspect in end-to-end robot learning with deep networks. Choosing one action space over another (e.g. target joint positions, or Cartesian end-effector poses) can result in…

机器人学 · 计算机科学 2022-03-07 Aditya Ganapathi , Pete Florence , Jake Varley , Kaylee Burns , Ken Goldberg , Andy Zeng

Finding the sparsest solution to the underdetermined system $\mathbf{y}=\mathbf{Ax}$, given a tolerance, is known to be NP-hard. Many approximate solutions to this problem exist, and Orthogonal Matching Pursuit (OMP) is one of the most…

分布式、并行与集群计算 · 计算机科学 2026-04-01 Ariel Lubonja , Sebastian Kazmarek Praesius , Trac Duy Tran

Orthogonal matching pursuit (OMP) is a greedy algorithm popularly being used for the recovery of sparse signals. In this paper, we study the performance of OMP for support recovery of sparse signal under noise. Our analysis shows that under…

信息论 · 计算机科学 2020-12-14 Hengkuan Lu , Jian Wang

Compressed sensing is a developing field aiming at reconstruction of sparse signals acquired in reduced dimensions, which make the recovery process under-determined. The required solution is the one with minimum $\ell_0$ norm due to…

信息论 · 计算机科学 2012-09-06 Nazim Burak Karahanoglu , Hakan Erdogan

Support recovery of sparse signals from compressed linear measurements is a fundamental problem in compressed sensing (CS). In this paper, we study the orthogonal matching pursuit (OMP) algorithm for the recovery of support under noise. We…

信息论 · 计算机科学 2015-10-28 Jian Wang

In this paper, we present coherence-based performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two…

统计理论 · 数学 2012-09-28 Yuejie Chi , Robert Calderbank

Feature selection and regularization are becoming increasingly prominent tools in the efforts of the reinforcement learning (RL) community to expand the reach and applicability of RL. One approach to the problem of feature selection is to…

机器学习 · 计算机科学 2012-07-03 Christopher Painter-Wakefield , Ronald Parr

The orthogonal multi-matching pursuit (OMMP) is a natural extension of orthogonal matching pursuit (OMP). We denote the OMMP with the parameter $M$ as OMMP(M) where $M\geq 1$ is an integer. The main difference between OMP and OMMP(M) is…

信息论 · 计算机科学 2013-07-18 Zhiqiang Xu