Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning

For the optimal design of electromagnetic devices, it is the most time consuming to obtain the training samples from full wave electromagnetic simulation software, including HFSS, CST, and IE3D. Traditional machine learning methods usually use only labeled samples or unlabeled samples, but in practi...

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Main Authors: Jing Gao, Yubo Tian, Xie Zheng, Xuezhi Chen
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/3485469
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spelling doaj-063c931c5ce54847ae541696777b20712020-11-25T02:32:49ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/34854693485469Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised LearningJing Gao0Yubo Tian1Xie Zheng2Xuezhi Chen3School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, ChinaSchool of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, ChinaSchool of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, ChinaSchool of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, ChinaFor the optimal design of electromagnetic devices, it is the most time consuming to obtain the training samples from full wave electromagnetic simulation software, including HFSS, CST, and IE3D. Traditional machine learning methods usually use only labeled samples or unlabeled samples, but in practical problems, labeled samples and unlabeled samples coexist, and the acquisition cost of labeled samples is relatively high. This paper proposes a semisupervised learning Gaussian Process (GP), which combines unlabeled samples to improve the accuracy of the GP model and reduce the number of labeled training samples required. The proposed GP model consists two parts: initial training and self-training. In the process of initial training, a small number of labeled samples obtained by full wave electromagnetic simulation are used for training the initial GP model. Afterwards, the trained GP model is copied to another GP model in the process of self-training, and then the two GP models will update after crosstraining with different unlabeled samples. Using the same test samples for testing and updating, a model with a smaller error will replace another. Repeat the self-training process until a predefined stopping criterion is met. Four different benchmark functions and resonant frequency modeling problems of three different microstrip antennas are used to evaluate the effectiveness of the GP model. The results show that the proposed GP model has a good fitting effectiveness on benchmark functions. For microstrip antennas resonant frequency modeling problems, in the case of using the same labeled samples, its predictive ability is better than that of the traditional supervised GP model.http://dx.doi.org/10.1155/2020/3485469
collection DOAJ
language English
format Article
sources DOAJ
author Jing Gao
Yubo Tian
Xie Zheng
Xuezhi Chen
spellingShingle Jing Gao
Yubo Tian
Xie Zheng
Xuezhi Chen
Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
Complexity
author_facet Jing Gao
Yubo Tian
Xie Zheng
Xuezhi Chen
author_sort Jing Gao
title Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
title_short Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
title_full Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
title_fullStr Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
title_full_unstemmed Resonant Frequency Modeling of Microwave Antennas Using Gaussian Process Based on Semisupervised Learning
title_sort resonant frequency modeling of microwave antennas using gaussian process based on semisupervised learning
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description For the optimal design of electromagnetic devices, it is the most time consuming to obtain the training samples from full wave electromagnetic simulation software, including HFSS, CST, and IE3D. Traditional machine learning methods usually use only labeled samples or unlabeled samples, but in practical problems, labeled samples and unlabeled samples coexist, and the acquisition cost of labeled samples is relatively high. This paper proposes a semisupervised learning Gaussian Process (GP), which combines unlabeled samples to improve the accuracy of the GP model and reduce the number of labeled training samples required. The proposed GP model consists two parts: initial training and self-training. In the process of initial training, a small number of labeled samples obtained by full wave electromagnetic simulation are used for training the initial GP model. Afterwards, the trained GP model is copied to another GP model in the process of self-training, and then the two GP models will update after crosstraining with different unlabeled samples. Using the same test samples for testing and updating, a model with a smaller error will replace another. Repeat the self-training process until a predefined stopping criterion is met. Four different benchmark functions and resonant frequency modeling problems of three different microstrip antennas are used to evaluate the effectiveness of the GP model. The results show that the proposed GP model has a good fitting effectiveness on benchmark functions. For microstrip antennas resonant frequency modeling problems, in the case of using the same labeled samples, its predictive ability is better than that of the traditional supervised GP model.
url http://dx.doi.org/10.1155/2020/3485469
work_keys_str_mv AT jinggao resonantfrequencymodelingofmicrowaveantennasusinggaussianprocessbasedonsemisupervisedlearning
AT yubotian resonantfrequencymodelingofmicrowaveantennasusinggaussianprocessbasedonsemisupervisedlearning
AT xiezheng resonantfrequencymodelingofmicrowaveantennasusinggaussianprocessbasedonsemisupervisedlearning
AT xuezhichen resonantfrequencymodelingofmicrowaveantennasusinggaussianprocessbasedonsemisupervisedlearning
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