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In recent years there has been a push to discover the governing equations dynamical systems directly from measurements of the state, often motivated by systems that are too complex to directly model. Although there has been substantial work…

最优化与控制 · 数学 2023-01-10 Jeffrey M. Hokanson , Gianluca Iaccarino , Alireza Doostan

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

机器学习 · 统计学 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Patients with sleep disorders can better manage their lifestyle if they know about their special situations. Detection of such sleep disorders is usually possible by analyzing a number of vital signals that have been collected from the…

信号处理 · 电气工程与系统科学 2020-04-14 Mohamadreza Jafaryani , Saeed Khorram , Vahid Pourahmadi , Minoo Shahbazi

Distributed Acoustic Sensing (DAS) is a promising technology introducing a new paradigm in the acquisition of high-resolution seismic data. However, DAS data often show weak signals compared to the background noise, especially in tough…

地球物理 · 物理学 2024-10-21 Omar M. Saad , Matteo Ravasi , Tariq Alkhalifah

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

最优化与控制 · 数学 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

In this paper, we present an approach to the reconstruction of signals exhibiting sparsity in a transformation domain, having some heavily disturbed samples. This sparsity-driven signal recovery exploits a carefully suited random sampling…

信息论 · 计算机科学 2020-03-30 Ljubisa Stankovic , Milos Brajovic , Isidora Stankovic , Jonatan Lerga , Milos Dakovic

Wireless time-sensitive networking (WTSN) is essential for Industrial Internet of Things. We address the problem of minimizing time slots needed for WTSN transmissions while ensuring reliability subject to interference constraints -- an…

信号处理 · 电气工程与系统科学 2025-01-22 Zhouyou Gu , Jihong Park , Branka Vucetic , Jinho Choi

The decomposition of a stochastic time series into three component series representing a dual signal - namely, the mean and dispersion - while isolating noise is presented. The decomposition is performed by applying machine learning…

机器学习 · 计算机科学 2025-08-14 Alex Glushkovsky

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

信息论 · 计算机科学 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

信息论 · 计算机科学 2021-09-21 Elad Romanov , Or Ordentlich

Supervised training for real-world denoising presents challenges due to the difficulty of collecting large datasets of paired noisy and clean images. Recent methods have attempted to address this by utilizing unpaired datasets of clean and…

计算机视觉与模式识别 · 计算机科学 2025-03-28 Hamadi Chihaoui , Paolo Favaro

There are a large number of methods for solving under-determined linear inverse problem. Many of them have very high time complexity for large datasets. We propose a new method called Two-Stage Sparse Representation (TSSR) to tackle this…

计算机视觉与模式识别 · 计算机科学 2015-12-09 Chengyu Peng , Hong Cheng , Manchor Ko

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

信息论 · 计算机科学 2015-07-24 Yuanxin Li , Yuejie Chi

Benefited from the rapid and sustainable development of synthetic aperture radar (SAR) sensors, change detection from SAR images has received increasing attentions over the past few years. Existing unsupervised deep learning-based methods…

图像与视频处理 · 电气工程与系统科学 2022-03-15 Junjie Wang , Feng Gao , Junyu Dong , Qian Du , Heng-Chao Li

We consider the problem of estimating a variable number of parameters with a dynamic nature. A familiar example is finding the position of moving targets using sensor array observations. The problem is challenging in cases where either the…

统计计算 · 统计学 2015-04-03 Ashkan Panahi , Mats Viberg

This article proposes novel sparsity-aware space-time adaptive processing (SA-STAP) algorithms with $l_1$-norm regularization for airborne phased-array radar applications. The proposed SA-STAP algorithms suppose that a number of samples of…

信息论 · 计算机科学 2013-04-16 Z. Yang , R. C. de Lamare

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

机器学习 · 计算机科学 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

In this paper, we propose an interesting semi-sparsity smoothing algorithm based on a novel sparsity-inducing optimization framework. This method is derived from the multiple observations that semi-sparsity prior knowledge is more…

计算机视觉与模式识别 · 计算机科学 2023-03-08 Junqing Huang , Haihui Wang , Xuechao Wang , Michael Ruzhansky

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

信息论 · 计算机科学 2016-11-17 Namrata Vaswani