Generalized Correntropy for Robust Adaptive Filtering
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 successfully applied in robust regression and filtering. The default...
Uložené v:
| Vydané v: | IEEE transactions on signal processing Ročník 64; číslo 13; s. 3376 - 3387 |
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| Hlavní autori: | , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
New York
IEEE
01.07.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Predmet: | |
| ISSN: | 1053-587X, 1941-0476 |
| On-line prístup: | Získať plný text |
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| Abstract | 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 successfully applied in robust regression and filtering. The default kernel function in correntropy is the Gaussian kernel, which is, of course, not always the best choice. In this paper, we propose a generalized correntropy that adopts the generalized Gaussian density (GGD) function as the kernel, and present some important properties. We further propose the generalized maximum correntropy criterion (GMCC) and apply it to adaptive filtering. An adaptive algorithm, called the GMCC algorithm, is derived, and the stability problem and steady-state performance are studied. We show that the proposed algorithm is very stable and can achieve zero probability of divergence (POD). Simulation results confirm the theoretical expectations and demonstrate the desirable performance of the new algorithm. |
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| AbstractList | 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 successfully applied in robust regression and filtering. The default kernel function in correntropy is the Gaussian kernel, which is, of course, not always the best choice. In this paper, we propose a generalized correntropy that adopts the generalized Gaussian density (GGD) function as the kernel, and present some important properties. We further propose the generalized maximum correntropy criterion (GMCC) and apply it to adaptive filtering. An adaptive algorithm, called the GMCC algorithm, is derived, and the stability problem and steady-state performance are studied. We show that the proposed algorithm is very stable and can achieve zero probability of divergence (POD). Simulation results confirm the theoretical expectations and demonstrate the desirable performance of the new algorithm. |
| Author | Badong Chen Haiquan Zhao Lei Xing Nanning Zheng Principe, Jose C. |
| Author_xml | – sequence: 1 surname: Badong Chen fullname: Badong Chen email: chenbd@mail.xjtu.edu.cn organization: Inst. of Artificial Intell. & Robot., Xi'an Jiaotong Univ., Xi'an, China – sequence: 2 surname: Lei Xing fullname: Lei Xing email: xl2010@stu.xjtu.edu.cn organization: Inst. of Artificial Intell. & Robot., Xi'an Jiaotong Univ., Xi'an, China – sequence: 3 surname: Haiquan Zhao fullname: Haiquan Zhao email: hqzhao@home.swjtu.edu.cn organization: Sch. of Electr. Eng., Southwest Jiaotong Univ., Chengdu, China – sequence: 4 surname: Nanning Zheng fullname: Nanning Zheng email: nnzheng@mail.xjtu.edu.cn organization: Inst. of Artificial Intell. & Robot., Xi'an Jiaotong Univ., Xi'an, China – sequence: 5 givenname: Jose C. surname: Principe fullname: Principe, Jose C. email: principe@cnel.ufl.edu organization: Inst. of Artificial Intell. & Robot., Xi'an Jiaotong Univ., Xi'an, China |
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| CODEN | ITPRED |
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