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Orthogonal Matching Pursuit (OMP) is a canonical greedy pursuit algorithm for sparse approximation. Previous studies of OMP have mainly considered the exact recovery of a sparse signal $\bm x$ through $\bm \Phi$ and $\bm y=\bm \Phi \bm x$,…

信息论 · 计算机科学 2015-05-28 Jie Ding , Laming Chen , Yuantao Gu

Approximate Message Passing (AMP) algorithmshave recently gathered significant attention across disciplines such as statistical physics, machine learning, and communication systems. This study aims to extend AMP algorithms to non-symmetric…

概率论 · 数学 2024-02-14 Mohammed-Younes Gueddari , Walid Hachem , Jamal Najim

Orthogonal matching pursuit (OMP) is a widely used algorithm for recovering sparse high dimensional vectors in linear regression models. The optimal performance of OMP requires \textit{a priori} knowledge of either the sparsity of…

机器学习 · 统计学 2018-06-05 Sreejith Kallummil , Sheetal Kalyani

We consider the problem of localizing change points in a generalized linear model (GLM), a model that covers many widely studied problems in statistical learning including linear, logistic, and rectified linear regression. We propose a…

机器学习 · 统计学 2025-09-08 Gabriel Arpino , Xiaoqi Liu , Julia Gontarek , Ramji Venkataramanan

We study the problem of regression in a generalized linear model (GLM) with multiple signals and latent variables. This model, which we call a matrix GLM, covers many widely studied problems in statistical learning, including mixed linear…

机器学习 · 统计学 2024-04-10 Nelvin Tan , Ramji Venkataramanan

Most existing studies on joint activity detection and channel estimation for grant-free massive random access (RA) systems assume perfect synchronization among all active users, which is hard to achieve in practice. Therefore, this paper…

信号处理 · 电气工程与系统科学 2023-05-23 Xinyu Bian , Yuyi Mao , Jun Zhang

Solving a large-scale regularized linear inverse problem using multiple processors is important in various real-world applications due to the limitations of individual processors and constraints on data sharing policies. This paper focuses…

信息论 · 计算机科学 2017-01-31 Yanting Ma , Yue M. Lu , Dror Baron

Orthogonal Matching pursuit (OMP) is a popular algorithm to estimate an unknown sparse vector from multiple linear measurements of it. Assuming exact sparsity and that the measurements are corrupted by additive Gaussian noise, the success…

统计理论 · 数学 2020-08-07 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

Multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM), a fundamental transmission scheme, promises high throughput and robustness against multipath fading. However, these benefits rely on the efficient…

信息论 · 计算机科学 2022-06-23 Xingyu Zhou , Jing Zhang , Chen-Wei Syu , Chao-Kai Wen , Jun Zhang , Shi Jin

Optimal data detection in multiple-input multiple-output (MIMO) communication systems with a large number of antennas at both ends of the wireless link entails prohibitive computational complexity. In order to reduce the computational…

信息论 · 计算机科学 2015-10-22 Charles Jeon , Ramina Ghods , Arian Maleki , Christoph Studer

This paper proposes a fast approximate message-passing (AMP) algorithm for solving compressed sensing (CS) recovery problems with 1D-finite-difference sparsity in term of MMSE estimation. The proposed algorithm, named ssAMP-BGFD, is…

信息论 · 计算机科学 2015-09-07 Jaewook Kang , Hyoyoung Jung , Heung-No Lee , Kiseon Kim

We introduce an iterative optimization scheme for convex objectives consisting of a linear loss and a non-separable penalty, based on the expectation-consistent approximation and the vector approximate message-passing (VAMP) algorithm.…

机器学习 · 统计学 2018-09-18 Andre Manoel , Florent Krzakala , Gaël Varoquaux , Bertrand Thirion , Lenka Zdeborová

This paper considers the massive connectivity problem in an asynchronous grant-free random access system, where a huge number of devices sporadically transmit data to a base station (BS) with imperfect synchronization. The goal is to design…

信息论 · 计算机科学 2021-01-05 Weifeng Zhu , Meixia Tao , Xiaojun Yuan , Yunfeng Guan

Orthogonal optical coding is widely used in classical multiuser communication networks. Using the phase conjugation property of stimulated parametric down-conversion, we extend the current orthogonal optical coding scheme to the spatial…

光学 · 物理学 2023-07-24 Yang Xu , Sirui Tang , A. Nicholas Black , Robert W. Boyd

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

We consider the design and analysis of spatially coupled sparse regression codes (SC-SPARCs), which were recently introduced by Barbier et al. for efficient communication over the additive white Gaussian noise channel. SC-SPARCs can be…

信息论 · 计算机科学 2018-04-27 Kuan Hsieh , Cynthia Rush , Ramji Venkataramanan

In this paper, we propose a new orthogonal matching pursuit algorithm called quasi-OMP algorithm which greatly enhances the performance of classical orthogonal matching pursuit (OMP) algorithm, at some cost of computational complexity. We…

数值分析 · 数学 2020-07-21 Ming-Jun Lai , Zhaiming Shen

We study model-based end-to-end learning in the context of integrated sensing and communication (ISAC) under hardware impairments. Hardware impairments are usually addressed by means of array calibration with a focus on communication…

信号处理 · 电气工程与系统科学 2024-12-20 José Miguel Mateos-Ramos , Christian Häger , Musa Furkan Keskin , Luc Le Magoarou , Henk Wymeersch

In this paper, we present new results on using orthogonal matching pursuit (OMP), to solve the sparse approximation problem over redundant dictionaries for complex cases (i.e., complex measurement vector, complex dictionary and complex…

信息论 · 计算机科学 2012-06-12 Rong Fan , Qun Wan , Yipeng Liu , Hui Chen , Xiao Zhang

Purpose: Undersampling is used to reduce the scan time for high-resolution 3D magnetic resonance imaging. In order to achieve better image quality and avoid manual parameter tuning, we propose a probabilistic Bayesian approach to recover…

图像与视频处理 · 电气工程与系统科学 2022-10-20 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu