Robust local polynomial regression using M-estimator with adaptive bandwidth

Shing Chow Chan; Zhiguo Zhang

doi:10.1109/ISCAS.2004.1328751

Robust local polynomial regression using M-estimator with adaptive bandwidth

Shing Chow Chan^*
, Zhiguo Zhang

^*Corresponding author for this work

Department of Electrical Engineering
The University of Hong Kong

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

Original language	English
Title of host publication	2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings
Subtitle of host publication	Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	III333-III336
ISBN (Print)	078038251X
DOIs	https://doi.org/10.1109/ISCAS.2004.1328751
State	Published - 2004
Externally published	Yes
Event	2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Vancouver, BC, Canada Duration: 23 May 2004 → 26 May 2004

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	3
ISSN (Print)	0271-4310

Conference

Conference	2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004
Country/Territory	Canada
City	Vancouver, BC
Period	23/05/04 → 26/05/04

Access to Document

10.1109/ISCAS.2004.1328751

Cite this

Chan, S. C., & Zhang, Z. (2004). Robust local polynomial regression using M-estimator with adaptive bandwidth. In 2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings: Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems (pp. III333-III336). (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 3). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCAS.2004.1328751

Chan, Shing Chow ; Zhang, Zhiguo. / Robust local polynomial regression using M-estimator with adaptive bandwidth. 2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings: Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems. Institute of Electrical and Electronics Engineers Inc., 2004. pp. III333-III336 (Proceedings - IEEE International Symposium on Circuits and Systems).

@inproceedings{49beeff435f94e50a83984b22458ba68,

title = "Robust local polynomial regression using M-estimator with adaptive bandwidth",

abstract = "In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.",

author = "Chan, \{Shing Chow\} and Zhiguo Zhang",

year = "2004",

doi = "10.1109/ISCAS.2004.1328751",

language = "英语",

isbn = "078038251X",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "III333--III336",

booktitle = "2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings",

address = "美国",

note = "2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 ; Conference date: 23-05-2004 Through 26-05-2004",

}

Chan, SC & Zhang, Z 2004, Robust local polynomial regression using M-estimator with adaptive bandwidth. in 2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings: Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems. Proceedings - IEEE International Symposium on Circuits and Systems, vol. 3, Institute of Electrical and Electronics Engineers Inc., pp. III333-III336, 2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004, Vancouver, BC, Canada, 23/05/04. https://doi.org/10.1109/ISCAS.2004.1328751

Robust local polynomial regression using M-estimator with adaptive bandwidth. / Chan, Shing Chow; Zhang, Zhiguo.
2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings: Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems. Institute of Electrical and Electronics Engineers Inc., 2004. p. III333-III336 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Chan, Shing Chow

AU - Zhang, Zhiguo

PY - 2004

Y1 - 2004

N2 - In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

AB - In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

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M3 - 会议稿件

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T3 - Proceedings - IEEE International Symposium on Circuits and Systems

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PB - Institute of Electrical and Electronics Engineers Inc.

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Chan SC, Zhang Z. Robust local polynomial regression using M-estimator with adaptive bandwidth. In 2004 IEEE International Symposium on Circuits and Systems, ISCAS 2004 - Proceedings: Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems, Cellular Neural Networks and Array Computing, Digital Signal Processing, Nanoelectronics and Gigascale Systems. Institute of Electrical and Electronics Engineers Inc. 2004. p. III333-III336. (Proceedings - IEEE International Symposium on Circuits and Systems). doi: 10.1109/ISCAS.2004.1328751

Robust local polynomial regression using M-estimator with adaptive bandwidth

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