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We propose robust and efficient algorithms for the joint sparse recovery problem in compressed sensing, which simultaneously recover the supports of jointly sparse signals from their multiple measurement vectors obtained through a common…

信息论 · 计算机科学 2016-11-17 Kiryung Lee , Yoram Bresler , Marius Junge

This paper presents an efficient optimization technique for super-resolution two-dimensional (2D) direction of arrival (DOA) estimation by introducing a new formulation of atomic norm minimization (ANM). ANM allows gridless angle estimation…

信号处理 · 电气工程与系统科学 2022-04-27 Zhi Tian , Zhe Zhang , Yue Wang

Sparse array arrangement has been widely used in vector-sensor arrays because of increased degree-of-freedoms for identifying more sources than sensors. For large-size sparse vector-sensor arrays, one-bit measurements can further reduce the…

信号处理 · 电气工程与系统科学 2020-04-15 Zhiyong Cheng , Shengyao Chen , Qibin Shen , Jin He , Zhong liu

We address the problem of estimating a sparse low-rank matrix from its noisy observation. We propose an objective function consisting of a data-fidelity term and two parameterized non-convex penalty functions. Further, we show how to set…

最优化与控制 · 数学 2017-04-13 Ankit Parekh , Ivan W. Selesnick

We consider the problem of recovering a lowrank matrix M from a small number of random linear measurements. A popular and useful example of this problem is matrix completion, in which the measurements reveal the values of a subset of the…

信息论 · 计算机科学 2009-10-05 Emmanuel J. Candes , Yaniv Plan

Sparse arrays can resolve significantly more scatterers or sources than sensor by utilizing the co-array - a virtual array structure consisting of pairwise differences or sums of sensor positions. Although several sparse array…

信号处理 · 电气工程与系统科学 2021-04-07 Robin Rajamäki , Visa Koivunen

This paper studies early-stopped mirror descent applied to noisy sparse phase retrieval, which is the problem of recovering a $k$-sparse signal $\mathbf{x}^\star\in\mathbb{R}^n$ from a set of quadratic Gaussian measurements corrupted by…

信号处理 · 电气工程与系统科学 2021-05-11 Fan Wu , Patrick Rebeschini

As radar systems will be equipped with thousands of antenna elements and wide bandwidth, the associated costs and power consumption become exceedingly high, and a potential solution is to adopt low-resolution quantization technology, which…

信号处理 · 电气工程与系统科学 2024-08-06 Jiang Zhu , Hansheng Zhang , Ning Zhang , Jun Fang , Fengzhong Qu

A general method of minimization using correlation coefficients and order statistics is evaluated relative to least squares procedures in the estimation of parameters for normal data in simple linear regression.

统计方法学 · 统计学 2018-02-09 Rudy Gideon

Support recovery of sparse signals from compressed linear measurements is a fundamental problem in compressed sensing (CS). In this paper, we study the orthogonal matching pursuit (OMP) algorithm for the recovery of support under noise. We…

信息论 · 计算机科学 2015-10-28 Jian Wang

We study the streaming model for approximate matrix multiplication (AMM). We are interested in the scenario that the algorithm can only take one pass over the data with limited memory. The state-of-the-art deterministic sketching algorithm…

机器学习 · 计算机科学 2020-12-18 Luo Luo , Cheng Chen , Guangzeng Xie , Haishan Ye

We present a numerical framework for computing nested quadrature rules for various weight functions. The well-known Kronrod method extends the Gauss-Legendre quadrature by adding new optimal nodes to the existing Gauss nodes for integration…

数值分析 · 数学 2018-08-14 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Sparse model identification enables nonlinear dynamical system discovery from data. However, the control of false discoveries for sparse model identification is challenging, especially in the low-data and high-noise limit. In this paper, we…

机器学习 · 计算机科学 2023-04-28 L. Mars Gao , Urban Fasel , Steven L. Brunton , J. Nathan Kutz

Synthetic aperture radar tomography (TomoSAR) baseline optimization technique is capable of reducing system complexity and improving the temporal coherence of data, which has become an important research in the field of TomoSAR. In this…

信号处理 · 电气工程与系统科学 2022-12-02 Pengyu Jiang , Zhe Zhang , Bingchen Zhang , Zhongqiu Xu

This paper considers the problem of direction-of-arrival (DOA) estimation of coherent signals on passive coprime arrays, where we resort to the fourth-order cumulants of the received signal to explore more information. A fourth-order…

信息论 · 计算机科学 2017-01-24 Yang Hu , Yimin Liu , Xiqin Wang

The millimeter-wave (mmWave) full-dimensional (FD) MIMO system employs planar arrays at both the base station and user equipment and can simultaneously support both azimuth and elevation beamforming. In this paper, we propose…

系统与控制 · 计算机科学 2017-09-13 Yingming Tsai , Le Zheng , Xiaodong Wang

The problem of interest is the minimization of a nonlinear function subject to nonlinear equality constraints using a sequential quadratic programming (SQP) method. The minimization must be performed while observing only noisy evaluations…

最优化与控制 · 数学 2021-10-12 Figen Oztoprak , Richard Byrd , Jorge Nocedal

For identifying the non-Gaussian impulsive noise systems, normalized LMP (NLMP) has been proposed to combat impulsive-inducing instability. However, the standard algorithm is without considering the inherent sparse structure distribution of…

信息论 · 计算机科学 2015-03-04 Wentao Ma , Hua Qu , Jihong Zhao , Badong Chen , Guan Gui

Scoring systems are linear classification models that only require users to add, subtract and multiply a few small numbers in order to make a prediction. These models are in widespread use by the medical community, but are difficult to…

机器学习 · 统计学 2017-11-07 Berk Ustun , Cynthia Rudin

Optimal Maximum Likelihood (ML), narrow-band direction finding cannot be easily initialized in coherent and low signal to noise ratio environments. Sparse under-determined solvers are considered as viable solutions to this problem, since…

信号处理 · 电气工程与系统科学 2019-09-17 Elio D. Di Claudio , Raffaele Parisi , Giovanni Jacovitti