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We propose to reduce the original well-posed problem of compressive sensing to weighted-MAX-SAT. Compressive sensing is a novel randomized data acquisition approach that linearly samples sparse or compressible signals at a rate much below…

信息论 · 计算机科学 2019-05-28 Ramin Ayanzadeh , Milton Halem , Tim Finin

Symptom checkers have been widely adopted as an intelligent e-healthcare application during the ongoing pandemic crisis. Their performance have been limited by the fine-grained quality of the collected medical knowledge between symptom and…

机器学习 · 计算机科学 2021-11-02 Mohamed Akrout , Faouzi Bellili , Amine Mezghani , Hayet Amdouni

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

信号处理 · 电气工程与系统科学 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

Big-data applications often involve a vast number of observations and features, creating new challenges for variable selection and parameter estimation. This paper presents a novel technique called ``slow kill,'' which utilizes nonconvex…

机器学习 · 统计学 2023-05-04 Yiyuan She , Jianhui Shen , Adrian Barbu

Sparse inverse covariance selection is a fundamental problem for analyzing dependencies in high dimensional data. However, such a problem is difficult to solve since it is NP-hard. Existing solutions are primarily based on convex…

数值分析 · 计算机科学 2018-04-05 Ganzhao Yuan , Haoxian Tan , Wei-Shi Zheng

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

信息论 · 计算机科学 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

The task of compressed sensing is to recover a sparse vector from a small number of linear and non-adaptive measurements, and the problem of finding a suitable measurement matrix is very important in this field. While most recent works…

信息论 · 计算机科学 2012-12-18 Yi-Zheng Fan , Tao Huang , Ming Zhu

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

信息论 · 计算机科学 2013-06-11 Atul Divekar , Deanna Needell

Compressive sensing (CS) is a sampling technique designed for reducing the complexity of sparse data acquisition. One of the major obstacles for practical deployment of CS techniques is the signal reconstruction time and the high storage…

信息论 · 计算机科学 2011-07-12 Wei Dai , Olgica Milenkovic , Hoa Vin Pham

Communication has been seen as a significant bottleneck in industrial applications over large-scale networks. To alleviate the communication burden, sign-based optimization algorithms have gained popularity recently in both industrial and…

最优化与控制 · 数学 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

Matrix sensing is the problem of reconstructing a low-rank matrix from a few linear measurements. In many applications such as collaborative filtering, the famous Netflix prize problem, and seismic data interpolation, there exists some…

信息论 · 计算机科学 2019-04-30 Sajad Daei , Arash Amini , Farzan Haddadi

One-bit compressive sensing gains its popularity in signal processing and communications due to its low storage costs and low hardware complexity. However, it has been a challenging task to recover the signal only by exploiting the one-bit…

最优化与控制 · 数学 2022-04-20 Shenglong Zhou , Ziyan Luo , Naihua Xiu , Geoffrey Ye Li

In this paper, we present the Monte-Carlo Compressive Optimization algorithm, a new method to solve a combinatorial optimization problem that is assumed compressible. The method relies on random queries to the objective function in order to…

最优化与控制 · 数学 2025-10-30 Baptiste Chevalier , Shimpei Yamaguchi , Wojciech Roga , Masahiro Takeoka

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

The incremental aggregated gradient algorithm is popular in network optimization and machine learning research. However, the current convergence results require the objective function to be strongly convex. And the existing convergence…

最优化与控制 · 数学 2019-10-14 Tao Sun , Yuejiao Sun , Dongsheng Li , Qing Liao

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

机器学习 · 计算机科学 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

信息论 · 计算机科学 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

机器学习 · 计算机科学 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

信息论 · 计算机科学 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Subgradient methods are the natural extension to the non-smooth case of the classical gradient descent for regular convex optimization problems. However, in general, they are characterized by slow convergence rates, and they require…

最优化与控制 · 数学 2023-11-20 Alessandro Scagliotti , Piero Colli Franzone