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Single-snapshot signal processing in sparse linear arrays has become increasingly vital, particularly in dynamic environments like automotive radar systems, where only limited snapshots are available. These arrays are often utilized either…

信号处理 · 电气工程与系统科学 2025-01-14 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Yimin D. Zhang

Steerable networks, which process data with intrinsic symmetries, often use Fourier-based nonlinearities that require sampling from the entire group, leading to a need for discretization in continuous groups. As the number of samples…

机器学习 · 计算机科学 2024-09-16 Berfin Inal , Gabriele Cesa

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

机器学习 · 计算机科学 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

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

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

机器学习 · 统计学 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Large samples have been generated routinely from various sources. Classic statistical models, such as smoothing spline ANOVA models, are not well equipped to analyze such large samples due to expensive computational costs. In particular,…

统计方法学 · 统计学 2020-04-23 Xiaoxiao Sun , Wenxuan Zhong , Ping Ma

In this paper, we propose a novel transmission scheme, called sparse layered MIMO (SL-MIMO), that combines non-orthogonal transmission and singular value decomposition (SVD) precoding. Nonorthogonality in SL-MIMO allows re-using of the…

信息论 · 计算机科学 2022-08-15 Mohamad H. Dinan , Nemanja Stefan Perovic , Mark F. Flanagan

Markov jump processes (MJPs) are used to model a wide range of phenomena from disease progression to RNA path folding. However, maximum likelihood estimation of parametric models leads to degenerate trajectories and inferential performance…

机器学习 · 统计学 2015-06-08 Jonathan H. Huggins , Karthik Narasimhan , Ardavan Saeedi , Vikash K. Mansinghka

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

数值分析 · 数学 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

Support vector machines (SVMs) are widely used and constitute one of the best examined and used machine learning models for two-class classification. Classification in SVM is based on a score procedure, yielding a deterministic…

机器学习 · 统计学 2023-10-11 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Synthetic aperture radar (SAR) tomography (TomoSAR) retrieves three-dimensional (3-D) information from multiple SAR images, effectively addresses the layover problem, and has become pivotal in urban mapping. Unmanned aerial vehicle (UAV)…

信号处理 · 电气工程与系统科学 2024-02-05 Silin Gao , Wenlong Wang , Muhan Wang , Zhe Zhang , Zai Yang , Xiaolan Qiu , Bingchen Zhang , Yirong Wu

We propose a computational framework named iterative local adaptive majorize-minimization (I-LAMM) to simultaneously control algorithmic complexity and statistical error when fitting high dimensional models. I-LAMM is a two-stage…

统计理论 · 数学 2017-04-06 Jianqing Fan , Han Liu , Qiang Sun , Tong Zhang

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

信息论 · 计算机科学 2013-11-07 Guan Gui , Shinya kumagai , Fumiyuki Adachi

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

统计方法学 · 统计学 2020-07-20 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet

For complex nonlinear systems, it is challenging to design algorithms that are fast, scalable, and give an accurate approximation of the stability region. This paper proposes a sampling-based approach to address these challenges. By…

系统与控制 · 电气工程与系统科学 2024-05-24 Péter Antal , Tamás Péni , Roland Tóth

Sharpness-Aware Minimization (SAM) has proven highly effective in improving model generalization in machine learning tasks. However, SAM employs a fixed hyperparameter associated with the regularization to characterize the sharpness of the…

机器学习 · 计算机科学 2024-12-24 Jinping Zou , Xiaoge Deng , Tao Sun

Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their…

信号处理 · 电气工程与系统科学 2026-02-19 Longxin Bai , Jingchao Zhang , Liyan Qiao

In compressed sensing, measurements are typically contaminated by additive noise, and therefore, information about the noise variance is often needed to design algorithms. In this paper, we propose a method for estimating the unknown noise…

信号处理 · 电气工程与系统科学 2025-03-24 Ryo Hayakawa

Minimum Variance Distortionless Response (MVDR) is a classical adaptive beamformer that theoretically ensures the distortionless transmission of signals in the target direction, which makes it popular in real applications. Its noise…

声音 · 计算机科学 2024-09-16 Jinglin Bai , Hao Li , Xueliang Zhang , Fei Chen

The asymptotic iteration method (AIM) is applied to obtain highly accurate eigenvalues of the radial Schroedinger equation with the singular potential V(r)=r^2+\lambda/r^\alpha (\alpha,\lambda> 0) in arbitrary dimensions. Certain…

数学物理 · 物理学 2008-11-26 Brodie Champion , Richard L. Hall , Nasser Saad