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This paper introduces a novel approach for recovering sparse signals using sorted L1/L2 minimization. The proposed method assigns higher weights to indices with smaller absolute values and lower weights to larger values, effectively…

数值分析 · 数学 2023-08-09 Chao Wang , Ming Yan , Junjie Yu

Inverse source localization from Helmholtz boundary data collected over a narrow aperture is highly ill-posed and severely undersampled, undermining classical solvers (e.g., the Direct Sampling Method). We present a modular framework that…

数值分析 · 数学 2025-10-31 Guanyu Pan , Jianing Zhou , Xiaotong Liu , Yunqing Huang , Nianyu Yi

One-bit compressed sensing (1bCS) is an extremely quantized signal acquisition method that has been proposed and studied rigorously in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per…

信息论 · 计算机科学 2022-11-01 Namiko Matsumoto , Arya Mazumdar , Soumyabrata Pal

In phase-only compressive sensing (PO-CS), our goal is to recover low-complexity signals (e.g., sparse signals, low-rank matrices) from the phase of complex linear measurements. While perfect recovery of signal direction in PO-CS was…

信息论 · 计算机科学 2023-07-10 Junren Chen , Michael K. Ng

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

机器学习 · 计算机科学 2021-02-09 Haishan Ye , Tong Zhang

One-bit compressed sensing (1bCS) is an extreme-quantized signal acquisition method that has been intermittently studied in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per sample (sign…

信息论 · 计算机科学 2021-09-15 Arya Mazumdar , Soumyabrata Pal

After training complex deep learning models, a common task is to compress the model to reduce compute and storage demands. When compressing, it is desirable to preserve the original model's per-example decisions (e.g., to go beyond top-1…

机器学习 · 计算机科学 2022-10-18 Jerry Chee , Megan Renz , Anil Damle , Christopher De Sa

Deep learning has been recently applied to many problems in wireless communications including modulation classification and symbol decoding. Many of the existing end-to-end learning approaches demonstrated robustness to signal distortions…

信号处理 · 电气工程与系统科学 2020-09-15 Samer Hanna , Chris Dick , Danijela Cabric

Backpropagation algorithm is indispensable for the training of feedforward neural networks. It requires propagating error gradients sequentially from the output layer all the way back to the input layer. The backward locking in…

机器学习 · 计算机科学 2018-07-24 Zhouyuan Huo , Bin Gu , Qian Yang , Heng Huang

Given a linear system in a real or complex domain, linear regression aims to recover the model parameters from a set of observations. Recent studies in compressive sensing have successfully shown that under certain conditions, a linear…

统计理论 · 数学 2016-11-15 Henrik Ohlsson , Allen Y. Yang , Roy Dong , S. Shankar Sastry

Scalable coding, which can adapt to channel bandwidth variation, performs well in today's complex network environment. However, the existing scalable compression methods face two challenges: reduced compression performance and insufficient…

图像与视频处理 · 电气工程与系统科学 2022-01-05 Yi Ma , Yongqi Zhai , Ronggang Wang

Deep unfolding network (DUN) that unfolds the optimization algorithm into a deep neural network has achieved great success in compressive sensing (CS) due to its good interpretability and high performance. Each stage in DUN corresponds to…

计算机视觉与模式识别 · 计算机科学 2024-02-20 Jiechong Song , Bin Chen , Jian Zhang

We present a novel approach for recovering a sparse signal from cross-correlated data. Cross-correlations naturally arise in many fields of imaging, such as optics, holography and seismic interferometry. Compared to the sparse signal…

信号处理 · 电气工程与系统科学 2021-04-28 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

Training deep neural networks on large datasets containing high-dimensional data requires a large amount of computation. A solution to this problem is data-parallel distributed training, where a model is replicated into several…

机器学习 · 计算机科学 2021-03-18 Lusine Abrahamyan , Yiming Chen , Giannis Bekoulis , Nikos Deligiannis

We propose a unified dynamic tracking algorithmic framework (PLAY-CS) to reconstruct signal sequences with their intrinsic structured dynamic sparsity. By capitalizing on specific statistical assumptions concerning the dynamic filter of the…

信息论 · 计算机科学 2025-02-19 Xiaozhi Liu , Yong Xia

This paper presents new algorithms to solve the feature-sparsity constrained PCA problem (FSPCA), which performs feature selection and PCA simultaneously. Existing optimization methods for FSPCA require data distribution assumptions and are…

机器学习 · 计算机科学 2019-05-28 Lai Tian , Feiping Nie , Xuelong Li

A decentralized approach for joint frequency and phase synchronization in distributed antenna arrays is presented. The nodes in the array share their frequencies and phases with their neighboring nodes to align these parameters across the…

信号处理 · 电气工程与系统科学 2022-12-06 Mohammed Rashid , Jeffrey A. Nanzer

The compressed sensing (CS) theory has been successfully applied to image compression in the past few years as most image signals are sparse in a certain domain. Several CS reconstruction models have been recently proposed and obtained…

计算机视觉与模式识别 · 计算机科学 2017-07-25 Wuzhen Shi , Feng Jiang , Shengping Zhang , Debin Zhao

Recently, the 1-bit compressive sensing (1-bit CS) has been studied in the field of sparse signal recovery. Since the amplitude information of sparse signals in 1-bit CS is not available, it is often the support or the sign of a signal that…

信息论 · 计算机科学 2015-07-23 Yun-Bin Zhao , Chunlei XU

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