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High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find…

Numerical Analysis · Mathematics 2024-03-29 Fatima Antarou Ba , Oleh Melnyk , Christian Wald , Gabriele Steidl

The recently introduced Segment Anything Model (SAM), a Visual Foundation Model (VFM), has demonstrated impressive capabilities in zero-shot segmentation tasks across diverse natural image datasets. Despite its success, SAM encounters…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Chunpeng Zhou , Kangjie Ning , Qianqian Shen , Sheng Zhou , Zhi Yu , Haishuai Wang

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

Information Theory · Computer Science 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

Two complementary approaches have been extensively used in signal and image processing leading to novel results, the sparse representation methodology and the variational strategy. Recently, a new sparsity based model has been proposed, the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-17 Raja Giryes , Michael Elad , Alfred M. Bruckstein

We address the problem of search-free direction of arrival (DOA) estimation for sensor arrays of arbitrary geometry under the challenging conditions of a single snapshot and coherent sources. We extend a method of searchfree…

Signal Processing · Electrical Eng. & Systems 2018-12-05 A. Govinda Raj , J. H. McClellan

Model compression by way of parameter pruning, quantization, or distillation has recently gained popularity as an approach for reducing the computational requirements of modern deep neural network models for NLP. Inspired by prior works…

Computation and Language · Computer Science 2023-10-10 Clara Na , Sanket Vaibhav Mehta , Emma Strubell

Due to the increasing demand for low power and higher sampling rates, low resolution quantization for data acquisition has drawn great attention recently. Consequently, line spectral estimation (LSE) with multiple measurement vectors (MMVs)…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Ning Zhang , Jiang Zhu , Zhiwei Xu

We introduce the Stochastic Asynchronous Proximal Alternating Linearized Minimization (SAPALM) method, a block coordinate stochastic proximal-gradient method for solving nonconvex, nonsmooth optimization problems. SAPALM is the first…

Optimization and Control · Mathematics 2016-06-09 Damek Davis , Brent Edmunds , Madeleine Udell

In this paper, we investigate the asymptotic error distributions of symplectic methods for stochastic Hamiltonian systems and further provide Hamiltonian-specific analysis that clarifies the superiority of symplectic methods. Our…

Numerical Analysis · Mathematics 2025-12-04 Chuchu Chen , Xinyu Chen , Jialin Hong , Yuqian Miao

The adaptive smoothing method (ASM) is a standard data-driven technique used in traffic state estimation. The ASM has free parameters which, in practice, are chosen to be some generally acceptable values based on intuition. However, we note…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Chuhan Yang , Sai Venkata Ramana Ambadipudi , Saif Eddin Jabari

We present an innovative approach to the synthesis of linear arrays having the least possible number of elements while radiating shaped beams lying in completely arbitrary power masks. The approach, based on theory and procedures lend from…

Applied Physics · Physics 2017-10-16 A. F. Morabito , A. R. Laganà , G. Sorbello , T. Isernia

Broadband wireless channels usually have the sparse nature. Based on the assumption of Gaussian noise model, adaptive filtering algorithms for reconstruction sparse channels were proposed to take advantage of channel sparsity. However,…

Information Theory · Computer Science 2015-02-20 Guan Gui , Li Xu , Wentao Ma , Badong Chen

We propose a novel adaptive empirical Bayesian method for sparse deep learning, where the sparsity is ensured via a class of self-adaptive spike-and-slab priors. The proposed method works by alternatively sampling from an adaptive…

Machine Learning · Statistics 2020-04-15 Wei Deng , Xiao Zhang , Faming Liang , Guang Lin

Performance of parameter estimation is one of the most important issues in array signal processing. The root mean square error, probability of success, resolution probabilities, and computational complexity are frequently used indexes for…

Signal Processing · Electrical Eng. & Systems 2021-06-30 Kaijie Xu

This paper investigates quantile regression in the presence of non-convex and non-smooth sparse penalties, such as the minimax concave penalty (MCP) and smoothly clipped absolute deviation (SCAD). The non-smooth and non-convex nature of…

Anderson mixing (AM) is an acceleration method for fixed-point iterations. Despite its success and wide usage in scientific computing, the convergence theory of AM remains unclear, and its applications to machine learning problems are not…

Machine Learning · Computer Science 2021-10-05 Fuchao Wei , Chenglong Bao , Yang Liu

This paper proposes two coherent broadband focusing algorithms for spatial correlation estimation using sparse linear arrays. Both algorithms decompose the time-domain array data into disjoint frequency bands through discrete Fourier…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Yang Liu , John R. Buck

In this paper, a sparse-based method for the estimation of the parameters of multidimensional ($R$-D) modal (harmonic or damped) complex signals in noise is presented. The problem is formulated as $R$ simultaneous sparse approximations of…

Information Theory · Computer Science 2015-11-02 Souleymen Sahnoun , El-Hadi Djermoune , David Brie , Pierre Comon

The Lasso is one of the most ubiquitous methods for variable selection in high-dimensional linear regression and has been studied extensively under different regimes. In a particular asymptotic setup entailing $n/p\to \text{constant}$, an…

Statistics Theory · Mathematics 2026-02-10 Lina Hidmi , Asaf Weinstein

Frames are the foundation of the linear operators used in the decomposition and reconstruction of signals, such as the discrete Fourier transform, Gabor, wavelets, and curvelet transforms. The emergence of sparse representation models has…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Wen-Liang Hwang , Ping-Tzan Huang , Tai-Lang Jong
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