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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

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

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

Error entropy is a important nonlinear similarity measure, and it has received increasing attention in many practical applications. The default kernel function of error entropy criterion is Gaussian kernel function, however, which is not…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Jiacheng He , Gang Wang , Bei Peng , Zhenyu Feng , Kun Zhang

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 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 present paper proposes generalized Gaussian kernel adaptive filtering, where the kernel parameters are adaptive and data-driven. The Gaussian kernel is parametrized by a center vector and a symmetric positive definite (SPD) precision…

Machine Learning · Computer Science 2021-05-20 Tomoya Wada , Kosuke Fukumori , Toshihisa Tanaka , Simone Fiori

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

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

This paper proposes a robust adaptive algorithm for smooth graph signal recovery which is based on generalized correntropy. A proper cost function is defined for this purpose. The proposed algorithm is derived and a kernel width…

Signal Processing · Electrical Eng. & Systems 2022-09-20 Razieh Torkamani , Hadi Zayyani , Farokh Marvasti

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

As one of the most advanced variants in the correntropy family, the multi-kernel correntropy criterion demonstrates superior accuracy in handling non-Gaussian noise, particularly with multimodal distributions. However, current approaches…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu , Xiaoli Li

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

Sparseness and robustness are two important properties for many machine learning scenarios. In the present study, regarding the maximum correntropy criterion (MCC) based robust regression algorithm, we investigate to integrate the MCC…

Machine Learning · Computer Science 2023-11-22 Yuanhao Li , Badong Chen , Okito Yamashita , Natsue Yoshimura , Yasuharu Koike

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

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

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

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

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

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
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