Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study

Previously, weighted kernel regression (WKR) for solving small samples problem has been reported. In general, WKR has proven to be effective when learning from small samples as compared to artificial neural network with back-propagation (ANNBP) and some other techniques. In order to extend the capab...

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Main Authors: Mohd Ibrahim, Shapiai, Zuwairie, Ibrahim, Marzuki, Khalid
Format: Article
Language:English
Published: Elsevier Ltd 2012
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/25325/1/Enhanced%20weighted%20kernel%20regression%20with%20prior%20knowledge%20using%20robot.pdf
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author Mohd Ibrahim, Shapiai
Zuwairie, Ibrahim
Marzuki, Khalid
author_facet Mohd Ibrahim, Shapiai
Zuwairie, Ibrahim
Marzuki, Khalid
author_sort Mohd Ibrahim, Shapiai
collection UMP
description Previously, weighted kernel regression (WKR) for solving small samples problem has been reported. In general, WKR has proven to be effective when learning from small samples as compared to artificial neural network with back-propagation (ANNBP) and some other techniques. In order to extend the capability of the technique, we introduce a new approach to improve the WKR by incorporating the prior knowledge. In practice, different forms of prior knowledge may be available and it might avoid the weakness of the training samples limitation. In this study, the incorporation of the prior knowledge will produce a set of solutions by considering the available training samples and prior knowledge in modeling. The process involved in obtaining a set of solutions can be regarded as a bi-objective optimization problem. The proposed technique is derived based on the pareto optimality concept (POC) by using multi-objective optimization technique (MOPT). We only focus the study on the challenges of formulating the two objective functions. We demonstrate the capability of the proposed technique to robot manipulator problem. It is shown that the incorporation of the prior knowledge based on POC can be implemented and relatively improved the regression performance. Some related issues of the proposed technique are also discussed.
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spelling UMPir253252019-12-10T01:06:04Z http://umpir.ump.edu.my/id/eprint/25325/ Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study Mohd Ibrahim, Shapiai Zuwairie, Ibrahim Marzuki, Khalid TK Electrical engineering. Electronics Nuclear engineering Previously, weighted kernel regression (WKR) for solving small samples problem has been reported. In general, WKR has proven to be effective when learning from small samples as compared to artificial neural network with back-propagation (ANNBP) and some other techniques. In order to extend the capability of the technique, we introduce a new approach to improve the WKR by incorporating the prior knowledge. In practice, different forms of prior knowledge may be available and it might avoid the weakness of the training samples limitation. In this study, the incorporation of the prior knowledge will produce a set of solutions by considering the available training samples and prior knowledge in modeling. The process involved in obtaining a set of solutions can be regarded as a bi-objective optimization problem. The proposed technique is derived based on the pareto optimality concept (POC) by using multi-objective optimization technique (MOPT). We only focus the study on the challenges of formulating the two objective functions. We demonstrate the capability of the proposed technique to robot manipulator problem. It is shown that the incorporation of the prior knowledge based on POC can be implemented and relatively improved the regression performance. Some related issues of the proposed technique are also discussed. Elsevier Ltd 2012 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/25325/1/Enhanced%20weighted%20kernel%20regression%20with%20prior%20knowledge%20using%20robot.pdf Mohd Ibrahim, Shapiai and Zuwairie, Ibrahim and Marzuki, Khalid (2012) Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study. Procedia Engineering, 41. pp. 82-89. ISSN 1877-7058. (Published) https://doi.org/10.1016/j.proeng.2012.07.146 https://doi.org/10.1016/j.proeng.2012.07.146
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Mohd Ibrahim, Shapiai
Zuwairie, Ibrahim
Marzuki, Khalid
Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title_full Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title_fullStr Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title_full_unstemmed Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title_short Enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
title_sort enhanced weighted kernel regression with prior knowledge using robot manipulator problem as a case study
topic TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/25325/1/Enhanced%20weighted%20kernel%20regression%20with%20prior%20knowledge%20using%20robot.pdf
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AT zuwairieibrahim enhancedweightedkernelregressionwithpriorknowledgeusingrobotmanipulatorproblemasacasestudy
AT marzukikhalid enhancedweightedkernelregressionwithpriorknowledgeusingrobotmanipulatorproblemasacasestudy