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In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

信息论 · 计算机科学 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

In this paper, we propose an adaptive sieving (AS) strategy for solving general sparse machine learning models by effectively exploring the intrinsic sparsity of the solutions, wherein only a sequence of reduced problems with much smaller…

最优化与控制 · 数学 2025-04-28 Yancheng Yuan , Meixia Lin , Defeng Sun , Kim-Chuan Toh

Masked modeling has emerged as a powerful self-supervised learning framework, but existing methods largely rely on random masking, disregarding the structural properties of different modalities. In this work, we introduce structured…

机器学习 · 计算机科学 2025-03-21 Aritra Bhowmik , Fida Mohammad Thoker , Carlos Hinojosa , Bernard Ghanem , Cees G. M. Snoek

In many application of noise cancellation, the changes in signal characteristics could be quite fast. This requires the utilization of adaptive algorithms, which converge rapidly. Least Mean Squares (LMS) adaptive filters have been used in…

声音 · 计算机科学 2011-06-07 Sayed A. Hadei , N. Sonbolestan

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

数值分析 · 计算机科学 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

Compressed sensing theory is slowly making its way to solve more and more astronomical inverse problems. We address here the application of sparse representations, convex optimization and proximal theory to radio interferometric imaging.…

The goal of this paper is to achieve a computational model and corresponding efficient algorithm for obtaining a sparse representation of the fitting surface to the given scattered data. The basic idea of the model is to utilize the…

数值分析 · 数学 2017-04-27 Yong-Xia Hao , Chong-Jun Li , Ren-Hong Wang

This paper studies the joint support recovery of similar sparse vectors on the basis of a limited number of noisy linear measurements, i.e., in a multiple measurement vector (MMV) model. The additive noise signals on each measurement vector…

信息论 · 计算机科学 2015-06-18 J. F. Determe , J. Louveaux , L. Jacques , F. Horlin

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

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

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

计算机视觉与模式识别 · 计算机科学 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

In this paper, we consider the problem of collaboratively estimating the sparsity pattern of a sparse signal with multiple measurement data in distributed networks. We assume that each node makes Compressive Sensing (CS) based measurements…

信息论 · 计算机科学 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

Sparse data approximation has become a popular research topic in signal processing. However, in most cases only a single measurement vector (SMV) is considered. In applications, the multiple measurement vector (MMV) case is more usual,…

数值分析 · 数学 2017-05-24 Florian Boßmann

In this paper we study the reconstruction of binary sparse signals from partial random circulant measurements. We show that the reconstruction via the least-squares algorithm is as good as the reconstruction via the usually used program…

信息论 · 计算机科学 2020-06-29 Sandra Keiper

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

最优化与控制 · 数学 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

We consider high dimensional sparse regression, and develop strategies able to deal with arbitrary -- possibly, severe or coordinated -- errors in the covariance matrix $X$. These may come from corrupted data, persistent experimental…

机器学习 · 统计学 2013-01-15 Yudong Chen , Constantine Caramanis , Shie Mannor

This paper considers the problem of detecting the support (sparsity pattern) of a sparse vector from random noisy measurements. Conditional power of a component of the sparse vector is defined as the energy conditioned on the component…

信息论 · 计算机科学 2015-03-24 Alyson K. Fletcher , Sundeep Rangan , Vivek K Goyal

Understanding 3D object shapes necessitates shape representation by object parts abstracted from results of instance and semantic segmentation. Promising shape representations enable computers to interpret a shape with meaningful parts and…

计算机视觉与模式识别 · 计算机科学 2025-03-11 Jiaxin Li , Hongxing Wang , Jiawei Tan , Zhilong Ou , Junsong Yuan

In this paper we aim to tackle the problem of reconstructing a high-resolution image from a single low-resolution input image, known as single image super-resolution. In the literature, sparse representation has been used to address this…

计算机视觉与模式识别 · 计算机科学 2016-03-23 Mohammad Rostami , Zhou Wang

Sparse representation is a viable solution to visual tracking. In this paper, we propose a structured multi-task multi-view tracking (SMTMVT) method, which exploits the sparse appearance model in the particle filter framework to track…

计算机视觉与模式识别 · 计算机科学 2018-06-07 Mohammadreza Javanmardi , Xiaojun Qi