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We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

信息论 · 计算机科学 2015-06-17 Jeremy Vila , Philip Schniter

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

信号处理 · 电气工程与系统科学 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

We investigate a compressive sensing framework in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using measures performed on multiple unknown (but sparse) signals…

信息论 · 计算机科学 2014-08-26 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

The task of finding a sparse signal decomposition in an overcomplete dictionary is made more complicated when the signal undergoes an unknown modulation (or convolution in the complementary Fourier domain). Such simultaneous sparse recovery…

信息论 · 计算机科学 2019-10-02 Youye Xie , Michael B. Wakin , Gongguo Tang

Motivated by the problem of determining the atomic structure of macromolecules using single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational complexities of the sparse multi-reference alignment (MRA) model:…

信息论 · 计算机科学 2021-09-27 Tamir Bendory , Oscar Mickelin , Amit Singer

In this paper, we propose a time-frequency analysis method to obtain instantaneous frequencies and the corresponding decomposition by solving an optimization problem. In this optimization problem, the basis to decompose the signal is not…

信息论 · 计算机科学 2014-10-14 Thomas Y. Hou , Zuoqiang Shi

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

机器学习 · 计算机科学 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

The least-absolute shrinkage and selection operator (LASSO) is a regularization technique for estimating sparse signals of interest emerging in various applications and can be efficiently solved via the alternating direction method of…

信息论 · 计算机科学 2022-08-25 Huiyue Yi , Yan Xu , Wuxiong Zhang , Hui Xu

Electrocardiogram (ECG) interpretation requires specialized expertise, often involving synthesizing insights from ECG signals with complex clinical queries posed in natural language. The scarcity of labeled ECG data coupled with the diverse…

机器学习 · 计算机科学 2025-05-09 Jialu Tang , Tong Xia , Yuan Lu , Cecilia Mascolo , Aaqib Saeed

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

机器学习 · 统计学 2012-10-03 Rodolphe Jenatton , Rémi Gribonval , Francis Bach

Noninvasive reconstruction of cardiac electrical activity from surface electrocardiograms (ECG) involves solving an ill-posed inverse problem. Cardiac electrophysiological (EP) models have been used as important a priori knowledge to…

图像与视频处理 · 电气工程与系统科学 2019-05-14 Sandesh Ghimire , John L Sapp , Milan Horacek , Linwei Wang

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

信息论 · 计算机科学 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

Atrial Fibrillation (AF) is a common cardiac arrhythmia affecting a large number of people around the world. If left undetected, it will develop into chronic disability or even early mortality. However, patients who have this problem can…

信号处理 · 电气工程与系统科学 2021-01-20 Dacheng Chen , Dan Li , Xiuqin Xu , Ruizhi Yang , See-Kiong Ng

Graph signals offer a very generic and natural representation for data that lives on networks or irregular structures. The actual data structure is however often unknown a priori but can sometimes be estimated from the knowledge of the…

机器学习 · 计算机科学 2017-07-19 Hermina Petric Maretic , Dorina Thanou , Pascal Frossard

Atrial fibrillation (AF) is the most common type of cardiac arrhythmia. It is associated with an increased risk of stroke, heart failure, and other cardiovascular complications, but can be clinically silent. Passive AF monitoring with…

机器学习 · 计算机科学 2024-03-12 Zhicheng Guo , Cheng Ding , Duc H. Do , Amit Shah , Randall J. Lee , Xiao Hu , Cynthia Rudin

This paper is concerned with variational and Bayesian approaches to neuro-electromagnetic inverse problems (EEG and MEG). The strong indeterminacy of these problems is tackled by introducing sparsity inducing regularization/priors in a…

信号处理 · 电气工程与系统科学 2023-06-28 Samy Mokhtari , Jean-Michel Badier , Christian G. Bénar , Bruno Torrésani

Electrocardiographic imaging (ECGI) seeks to reconstruct cardiac electrical activity from body-surface potentials noninvasively. However, the associated inverse problem is severely ill-posed and requires robust regularization. While…

Recently, advanced technologies have unlimited potential in solving various problems with a large amount of data. However, these technologies have yet to show competitive performance in brain-computer interfaces (BCIs) which deal with brain…

人工智能 · 计算机科学 2022-06-20 Byeong-Hoo Lee , Jeong-Hyun Cho , Byoung-Hee Kwon , Seong-Whan Lee

The electrocardiogram (ECG) is one of the most common primary tests to evaluate the health of the heart. Reliable automatic interpretation of ECG records is crucial to the goal of improving public health. It can enable a safe inexpensive…

信号处理 · 电气工程与系统科学 2023-01-18 Laura Rebollo-Neira , Khalil Battikh , Amadou Sidi Watt

Atrial fibrillation (AF) is a common cardiac arrhythmia that significantly increases the risk of stroke and heart failure, necessitating reliable and generalizable detection methods from electrocardiogram (ECG) recordings. Although deep…

定量方法 · 定量生物学 2026-01-16 Hongtao Li , Jia Wei , Jia Xiao , Yuanjun Lai , Mingyang Liu , Shuzhen Lv , Xueqiang Ouyang
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