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Compressive sensing(CS) has drawn much attention in recent years due to its low sampling rate as well as high recovery accuracy. As an important procedure, reconstructing a sparse signal from few measurement data has been intensively…

Information Theory · Computer Science 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

Recent developments in the realm of state estimation of stochastic dynamic systems in the presence of non-Gaussian noise have induced a new methodology called the maximum correntropy filtering. The filters designed under the maximum…

Systems and Control · Computer Science 2017-09-06 Maria V. Kulikova

Correntropy is a local similarity measure defined in kernel space and the maximum correntropy criterion (MCC) has been successfully applied in many areas of signal processing and machine learning in recent years. The kernel function in…

Machine Learning · Statistics 2019-07-24 Badong Chen , Xin Wang , Yingsong Li , Jose C. Principe

Signal reconstruction in compressive sensing involves finding a sparse solution that satisfies a set of linear constraints. Several approaches to this problem have been considered in existing reconstruction algorithms. They each provide a…

Information Theory · Computer Science 2013-03-15 Christian Schou Oxvig , Patrick Steffen Pedersen , Thomas Arildsen , Torben Larsen

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

The Kalman filter provides an optimal estimation for a linear system with Gaussian noise. However when the noises are non-Gaussian in nature, its performance deteriorates rapidly. For non-Gaussian noises, maximum correntropy Kalman filter…

Optimization and Control · Mathematics 2023-02-07 Joydeb Saha , Shovan Bhaumik

A class of recovering algorithms for 1-bit compressive sensing (CS) named Soft Consistency Reconstructions (SCRs) are proposed. Recognizing that CS recovery is essentially an optimization problem, we endeavor to improve the characteristics…

Information Theory · Computer Science 2014-02-25 Xiao Cai , Zhaoyang Zhang , Huazi Zhang , Chunguang Li

As a novel similarity measure that is defined as the expectation of a kernel function between two random variables, correntropy has been successfully applied in robust machine learning and signal processing to combat large outliers. The…

Machine Learning · Computer Science 2021-09-07 Badong Chen , Yuqing Xie , Xin Wang , Zejian yuan , Pengju Ren , Jing Qin

Existing deep compressive sensing (CS) methods either ignore adaptive online optimization or depend on costly iterative optimizer during reconstruction. This work explores a novel image CS framework with recurrent-residual structural…

Image and Video Processing · Electrical Eng. & Systems 2022-07-18 Jun Niu

This paper studies a formulation of 1-bit Compressed Sensing (CS) problem based on the maximum likelihood estimation framework. In order to solve the problem we apply the recently proposed Gradient Support Pursuit algorithm, with a minor…

Information Theory · Computer Science 2013-04-25 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

Conventional compressive sensing (CS) reconstruction is very slow for its characteristic of solving an optimization problem. Convolu- tional neural network can realize fast processing while achieving compa- rable results. While CS image…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Xuemei Xie , Yuxiang Wang , Guangming Shi , Chenye Wang , Jiang Du , Zhifu Zhao

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

Sparse Bayesian learning has promoted many effective frameworks for brain activity decoding, especially for the reconstruction of muscle activity. However, existing sparse Bayesian learning mainly employs Gaussian distribution as error…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Yuanhao Li , Badong Chen , Natsue Yoshimura , Yasuharu Koike , Okito Yamashita

Compressive sensing (CS), aiming to reconstruct an image/signal from a small set of random measurements has attracted considerable attentions in recent years. Due to the high dimensionality of images, previous CS methods mainly work on…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Xiaotong Lu , Weisheng Dong , Peiyao Wang , Guangming Shi , Xuemei Xie

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although it has been used with complex data, some adaptations were then necessary…

Information Theory · Computer Science 2016-06-16 João P. F. Guimarães , Aluisio I. R. Fontes , Joilson B. A. Rego , Allan de M. Martins

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

Information Theory · Computer Science 2012-12-03 Duc Son Pham , Svetha Venkatesh

Network reconstruction is important to the understanding and control of collective dynamics in complex systems. Most real networks exhibit sparsely connected properties, and the connection parameter is a signal (0 or 1). Well-known…

Physics and Society · Physics 2025-09-03 Lei Shi , Jie Hu , Libin Jin , Chen Shen , Huaiyu Tan , Dalei Yu

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

The Partial Least Square Regression (PLSR) exhibits admirable competence for predicting continuous variables from inter-correlated brain recordings in the brain-computer interface. However, PLSR is in essence formulated based on the least…

Signal Processing · Electrical Eng. & Systems 2023-11-22 Yuanhao Li , Badong Chen , Gang Wang , Natsue Yoshimura , Yasuharu Koike