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Related papers: Maximum Correntropy Criterion with Variable Center

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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

As a robust nonlinear similarity measure in kernel space, correntropy has received increasing attention in domains of machine learning and signal processing. In particular, the maximum correntropy criterion (MCC) has recently been…

Machine Learning · Statistics 2016-07-12 Badong Chen , Lei Xing , Haiquan Zhao , Nanning Zheng , José C. Príncipe

The use of correntropy as a similarity measure has been increasing in different scenarios due to the well-known ability to extract high-order statistic information from data. Recently, a new similarity measure between complex random…

Information Theory · Computer Science 2017-10-03 João Guimarães

The maximum correntropy criterion (MCC) has recently been successfully applied in robust regression, classification and adaptive filtering, where the correntropy is maximized instead of minimizing the well-known mean square error (MSE) to…

Machine Learning · Statistics 2017-11-27 Badong Chen , Lei Xing , Haiquan Zhao , Bin Xu , Jose C. Principe

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although correntropy has been used with complex data, no theoretical study was pursued…

Information Theory · Computer Science 2016-08-19 João Paulo Ferreira Guimarães

In recent years, correntropy has been seccessfully applied to robust adaptive filtering to eliminate adverse effects of impulsive noises or outliers. Correntropy is generally defined as the expectation of a Gaussian kernel between two…

Signal Processing · Electrical Eng. & Systems 2021-11-02 Badong Chen , Yuqing Xie , Zhuang Li , Yingsong Li , Pengju Ren

Maximum correntropy criterion regression (MCCR) models have been well studied within the frame of statistical learning when the scale parameters take fixed values or go to infinity. This paper studies the MCCR models with tending-to-zero…

Machine Learning · Statistics 2021-10-26 Ying Jing , Lianqiang Yang

This paper investigates the robustness and optimality of the multi-kernel correntropy (MKC) on linear regression. We first derive an upper error bound for a scalar regression problem in the presence of arbitrarily large outliers and reveal…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Shilei Li , Yunjiang Lou , Dawei Shi , Lijing Li , Ling Shi

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

Constrained adaptive filtering algorithms inculding constrained least mean square (CLMS), constrained affine projection (CAP) and constrained recursive least squares (CRLS) have been extensively studied in many applications. Most existing…

Machine Learning · Statistics 2016-12-15 Siyuan Peng , Badong Chen , Lei Sun , Zhiping Lin , Wee Ser

The presence of outliers can significantly degrade the performance of ellipse fitting methods. We develop an ellipse fitting method that is robust to outliers based on the maximum correntropy criterion with variable center (MCC-VC), where a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Wei Wang , Gang Wang , Chenlong Hu , K. C. Ho

Recently, the motion averaging method has been introduced as an effective means to solve the multi-view registration problem. This method aims to recover global motions from a set of relative motions, where the original method is sensitive…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Jihua Zhu , Jie Hu , Huimin Lu , Badong Chen , Zhongyu Li

Sparse adaptive channel estimation problem is one of the most important topics in broadband wireless communications systems due to its simplicity and robustness. So far many sparsity-aware channel estimation algorithms have been developed…

Information Theory · Computer Science 2015-04-15 Wentao Ma , Hua Qua , Guan Gui , Li Xu , Jihong Zhaoa , Badong Chen

Robust compressive sensing(CS) reconstruction has become an attractive research topic in recent years. Robust CS aims to reconstruct the sparse signals under non-Gaussian(i.e. heavy tailed) noises where traditional CS reconstruction…

Information Theory · Computer Science 2017-06-13 Yicong He , Fei Wang , Shiyuan Wang , Jiuwen Cao , Badong Chen

As a well-established adaptation criterion, the maximum correntropy criterion (MCC) has been receiving increasing attention due to its robust against outliers. In this paper, a new complex recursive maximum correntropy (CRMC) algorithm…

Systems and Control · Computer Science 2017-02-27 Lu Lu , Haiquan Zhao

An improved proportionate adaptive filter based on the Maximum Correntropy Criterion (IP-MCC) is proposed for identifying the system with variable sparsity in an impulsive noise environment. Utilization of MCC mitigates the effect of…

Systems and Control · Computer Science 2017-07-04 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

Robust diffusion adaptive estimation algorithms based on the maximum correntropy criterion (MCC), including adaptation to combination MCC and combination to adaptation MCC, are developed to deal with the distributed estimation over network…

Machine Learning · Statistics 2016-02-04 Wentao Ma , Badong Chen , Jiandong Duan , Haiquan Zhao

Nonlinear similarity measures defined in kernel space, such as correntropy, can extract higher-order statistics of data and offer potentially significant performance improvement over their linear counterparts especially in non-Gaussian…

Machine Learning · Statistics 2017-04-26 Badong Chen , Lei Xing , Bin Xu , Haiquan Zhao , Nanning Zheng , Jose C. Principe

The maximum correntropy criterion (MCC) has been employed to design outlier-robust adaptive filtering algorithms, among which the recursive MCC (RMCC) algorithm is a typical one. Motivated by the success of our recently proposed…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Zhen Qin , Jun Tao , Le Yang , Ming Jiang

Robust matrix completion aims to recover a low-rank matrix from a subset of noisy entries perturbed by complex noises, where traditional methods for matrix completion may perform poorly due to utilizing $l_2$ error norm in optimization. In…

Information Theory · Computer Science 2020-02-19 Yicong He , Fei Wang , Yingsong Li , Jing Qin , Badong Chen
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