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A host of problems involve the recovery of structured signals from a dimensionality reduced representation such as a random projection; examples include sparse signals (compressive sensing) and low-rank matrices (matrix completion). Given…

信息论 · 计算机科学 2012-05-22 Shirin Jalali , Arian Maleki , Richard Baraniuk

Cross-correlation is a popular signal processing technique used in numerous location tracking systems for obtaining reliable range information. However, its efficient design and practical implementation has not yet been achieved on mote…

其他计算机科学 · 计算机科学 2016-06-14 Prasant Misra , Wen Hu , Mingrui Yang , Marco Duarte , Sanjay Jha

In this paper, we consider the classic measurement error regression scenario in which our independent, or design, variables are observed with several sources of additive noise. We will show that our motivating example's replicated…

应用统计 · 统计学 2012-07-10 David J. Biagioni , Ryan Elmore , Wesley Jones

Sparse coding algorithms are about finding a linear basis in which signals can be represented by a small number of active (non-zero) coefficients. Such coding has many applications in science and engineering and is believed to play an…

神经与进化计算 · 计算机科学 2016-08-14 András Lőrincz , Zsolt Palotai , Gábor Szirtes

Recent advancements in flow-matching have enabled high-quality text-to-image generation. However, the deterministic nature of flow-matching models makes them poorly suited for reinforcement learning, a key tool for improving image quality…

计算机视觉与模式识别 · 计算机科学 2025-10-06 Benjamin Yu , Jackie Liu , Justin Cui

This paper presents a new algorithmic framework for computing sparse solutions to large-scale linear discrete ill-posed problems. The approach is motivated by recent perspectives on iteratively reweighted norm schemes, viewed through the…

数值分析 · 数学 2025-02-05 Lucas Onisk , Malena Sabaté Landman

Sparse linear regression, which entails finding a sparse solution to an underdetermined system of linear equations, can formally be expressed as an $l_0$-constrained least-squares problem. The Orthogonal Least-Squares (OLS) algorithm…

机器学习 · 统计学 2016-08-01 Abolfazl Hashemi , Haris Vikalo

Distorted sensors could occur randomly and may lead to the breakdown of a sensor array system. We consider an array model within which a small number of sensors are distorted by unknown sensor gain and phase errors. With such an array…

信号处理 · 电气工程与系统科学 2024-10-28 Huiping Huang , Qi Liu , Hing Cheung So , Abdelhak M. Zoubir

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current approaches for designing robust losses involve the introduction of noise-robust factors, i.e., hyperparameters, to control the…

机器学习 · 计算机科学 2023-09-06 Kehui Ding , Jun Shu , Deyu Meng , Zongben Xu

This paper addresses the detection of periodic transients in vibration signals for detecting faults in rotating machines. For this purpose, we present a method to estimate periodic-group-sparse signals in noise. The method is based on the…

声音 · 计算机科学 2016-02-17 Wangpeng He , Yin Ding , Yanyang Zi , Ivan W. Selesnick

We propose an sparse Bayesian learning (SBL)-based method that leverages group sparsity and multiple parameterized dictionaries to detect the relevant dictionary entries and estimate their continuous parameters by combining data from…

信号处理 · 电气工程与系统科学 2025-11-05 Jakob Möderl , Anders Malte Westerkam , Alexander Venus , Erik Leitinger

This paper proposes distributed adaptive algorithms based on the conjugate gradient (CG) method and the diffusion strategy for parameter estimation over sensor networks. We present sparsity-aware conventional and modified distributed CG…

信息论 · 计算机科学 2015-11-23 Rodrigo C. de Lamare

Numerous practical medical problems often involve data that possess a combination of both sparse and non-sparse structures. Traditional penalized regularizations techniques, primarily designed for promoting sparsity, are inadequate to…

统计方法学 · 统计学 2023-11-10 Shun Yu , Yuehan Yang

This paper proposes a new algorithm for multiple sparse regression in high dimensions, where the task is to estimate the support and values of several (typically related) sparse vectors from a few noisy linear measurements. Our algorithm is…

机器学习 · 统计学 2012-06-08 Ali Jalali , Sujay Sanghavi

Linear regression models contaminated by Gaussian noise (inlier) and possibly unbounded sparse outliers are common in many signal processing applications. Sparse recovery inspired robust regression (SRIRR) techniques are shown to deliver…

机器学习 · 统计学 2018-12-26 Sreejith Kallummil , Sheetal Kalyani

Limited by fixed step-size and sparsity penalty factor, the conventional sparsity-aware normalized subband adaptive filtering (NSAF) type algorithms suffer from trade-off requirements of high filtering accurateness and quicker convergence…

系统与控制 · 电气工程与系统科学 2024-10-28 Dongxu Liu , Haiquan Zhao , Yang Zhou

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

Despite the importance of sparsity signal models and the increasing prevalence of high-dimensional streaming data, there are relatively few algorithms for dynamic filtering of time-varying sparse signals. Of the existing algorithms, fewer…

统计理论 · 数学 2016-11-03 Adam Charles , Aurele Balavoine , Christopher Rozell

We develop an efficient and robust high-dimensional sparse Fourier algorithm for noisy samples. Earlier in the paper ``Multi-dimensional sublinear sparse Fourier algorithm" (2016), an efficient sparse Fourier algorithm with $\Theta(ds \log…

数值分析 · 数学 2019-07-09 Bosu Choi , Andrew Christlieb , Yang Wang

Using a Bayesian approach, we consider the problem of recovering sparse signals under additive sparse and dense noise. Typically, sparse noise models outliers, impulse bursts or data loss. To handle sparse noise, existing methods…

机器学习 · 统计学 2015-01-13 Martin Sundin , Saikat Chatterjee , Magnus Jansson