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The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

计算机视觉与模式识别 · 计算机科学 2018-03-01 Leonid P. Yaroslavsky

Some mobile sensor network applications require the sensor nodes to transfer their trajectories to a data sink. This paper proposes an adaptive trajectory (lossy) compression algorithm based on compressive sensing. The algorithm has two…

信息论 · 计算机科学 2014-04-25 Rajib Rana , Mingrui Yang , Tim Wark , Chun Tung Chou , Wen Hu

We consider the problem of estimating the frequency components of a mixture of s complex sinusoids from a random subset of n regularly spaced samples. Unlike previous work in compressed sensing, the frequencies are not assumed to lie on a…

信息论 · 计算机科学 2013-07-12 Gongguo Tang , Badri Narayan Bhaskar , Parikshit Shah , Benjamin Recht

Let $x\in\mathbb{C}^n$ be a spectrally sparse signal consisting of $r$ complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is about reconstructing $x$ from its partial revealed entries. By…

最优化与控制 · 数学 2017-08-01 Jian-Feng Cai , Tianming Wang , Ke Wei

Quantum compressed sensing is the fundamental tool for low-rank density matrix tomographic reconstruction in the informationally incomplete case. We examine situations where the acquired information is not enough to allow one to obtain a…

This paper considers solving the unconstrained $\ell_q$-norm ($0\leq q<1$) regularized least squares ($\ell_q$-LS) problem for recovering sparse signals in compressive sensing. We propose two highly efficient first-order algorithms via…

信息论 · 计算机科学 2016-03-16 Fei Wen , Yuan Yang , Peilin Liu , Rendong Ying , Yipeng Liu

l1 reweighting algorithms are very popular in sparse signal recovery and compressed sensing, since in the practice they have been observed to outperform classical l1 methods. Nevertheless, the theoretical analysis of their convergence is a…

机器学习 · 计算机科学 2018-12-10 Sophie M. Fosson

The idea of compressed sensing is to exploit representations in suitable (overcomplete) dictionaries that allow to recover signals far beyond the Nyquist rate provided that they admit a sparse representation in the respective dictionary.…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Michael Moeller , Otmar Loffeld , Juergen Gall , Felix Krahmer

We consider the problem of in-network compressed sensing from distributed measurements. Every agent has a set of measurements of a signal $x$, and the objective is for the agents to recover $x$ from their collective measurements using only…

信息论 · 计算机科学 2015-06-17 Stacy Patterson , Yonina C. Eldar , Idit Keidar

Compressive sensing is a sensing protocol that facilitates reconstruction of large signals from relatively few measurements by exploiting known structures of signals of interest, typically manifested as signal sparsity. Compressive…

量子物理 · 物理学 2022-08-10 Kyle Sherbert , Naveed Naimipour , Haleh Safavi , Harry Shaw , Mojtaba Soltanalian

Data acquisition from a multi-hop large-scale outdoor wireless sensor network (WSN) deployment for environmental monitoring is full of challenges. This is because the severe resource constraints on small battery-operated motes (e.g.,…

网络与互联网体系结构 · 计算机科学 2017-09-11 Yimei Li , Yao Liang

We study sparse linear regression over a network of agents, modeled as an undirected graph (with no centralized node). The estimation problem is formulated as the minimization of the sum of the local LASSO loss functions plus a quadratic…

机器学习 · 计算机科学 2023-06-23 Yao Ji , Gesualdo Scutari , Ying Sun , Harsha Honnappa

Phase retrieval refers to a classical nonconvex problem of recovering a signal from its Fourier magnitude measurements. Inspired by the compressed sensing technique, signal sparsity is exploited in recent studies of phase retrieval to…

计算物理 · 物理学 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

信息论 · 计算机科学 2013-11-01 Ankit Kundu , Pradosh K. Roy

We propose a new deep recurrent neural network (RNN) architecture for sequential signal reconstruction. Our network is designed by unfolding the iterations of the proximal gradient method that solves the l1-l1 minimization problem. As such,…

机器学习 · 计算机科学 2019-02-19 Hung Duy Le , Huynh Van Luong , Nikos Deligiannis

Automatic differentiation through digital signal processing algorithms for virtual analogue modelling has recently gained popularity. These algorithms are typically more computationally efficient than black-box neural networks that rely on…

音频与语音处理 · 电气工程与系统科学 2025-09-16 Chin-Yun Yu , György Fazekas

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Thanks to the rapid proliferation of connected devices, sensor-generated time series constitute a large and growing portion of the world's data. Often, this data is collected from distributed, resource-constrained devices and centralized at…

性能 · 计算机科学 2018-08-09 Davis Blalock , Samuel Madden , John Guttag

We study the problem of compressing recurrent neural networks (RNNs). In particular, we focus on the compression of RNN acoustic models, which are motivated by the goal of building compact and accurate speech recognition systems which can…

计算与语言 · 计算机科学 2016-05-03 Rohit Prabhavalkar , Ouais Alsharif , Antoine Bruguier , Ian McGraw

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

信息论 · 计算机科学 2016-11-18 Ying Li , Kun Xie , Xin Wang