Research on residual GM optimization based on PEMEA-BP correction

Abstract With the advantages of small samples and high accuracy, Grey Model (GM) still has two major problems need to be addressed, high input data requirements and large margin of error. Hence, this paper proposes an algorithm based on Populational Entropy Based Mind Evolutionary Algorithm-Error Ba...

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Autores principales: Junhang Duan, Ling Zhu, Wei Xing, Xi Zhang, Zhong Peng, Huating Gou
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Lenguaje:EN
Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/36601fd6d750418ab257ba75c8fde968
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spelling oai:doaj.org-article:36601fd6d750418ab257ba75c8fde9682021-12-02T16:18:04ZResearch on residual GM optimization based on PEMEA-BP correction10.1038/s41598-020-77630-w2045-2322https://doaj.org/article/36601fd6d750418ab257ba75c8fde9682020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-77630-whttps://doaj.org/toc/2045-2322Abstract With the advantages of small samples and high accuracy, Grey Model (GM) still has two major problems need to be addressed, high input data requirements and large margin of error. Hence, this paper proposes an algorithm based on Populational Entropy Based Mind Evolutionary Algorithm-Error Back Propagation Training Artificial Neural Algorithm to modify GM residual tail, which will not only keep the advantages of GM, but also expand its scope of use to various non-linear and even multidimensional objects. Meanwhile, it can avoid defects of other algorithms, such as slow convergence and easy to fall into the local minimum. In small samples data experiments, judging from SSE, MAE, MSE, MAPE, MRE and other indicators, this new algorithm has significant advantage over GM, BP algorithm and combined genetic algorithm in terms of simulation accuracy and convergence speed.Junhang DuanLing ZhuWei XingXi ZhangZhong PengHuating GouNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-13 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Junhang Duan
Ling Zhu
Wei Xing
Xi Zhang
Zhong Peng
Huating Gou
Research on residual GM optimization based on PEMEA-BP correction
description Abstract With the advantages of small samples and high accuracy, Grey Model (GM) still has two major problems need to be addressed, high input data requirements and large margin of error. Hence, this paper proposes an algorithm based on Populational Entropy Based Mind Evolutionary Algorithm-Error Back Propagation Training Artificial Neural Algorithm to modify GM residual tail, which will not only keep the advantages of GM, but also expand its scope of use to various non-linear and even multidimensional objects. Meanwhile, it can avoid defects of other algorithms, such as slow convergence and easy to fall into the local minimum. In small samples data experiments, judging from SSE, MAE, MSE, MAPE, MRE and other indicators, this new algorithm has significant advantage over GM, BP algorithm and combined genetic algorithm in terms of simulation accuracy and convergence speed.
format article
author Junhang Duan
Ling Zhu
Wei Xing
Xi Zhang
Zhong Peng
Huating Gou
author_facet Junhang Duan
Ling Zhu
Wei Xing
Xi Zhang
Zhong Peng
Huating Gou
author_sort Junhang Duan
title Research on residual GM optimization based on PEMEA-BP correction
title_short Research on residual GM optimization based on PEMEA-BP correction
title_full Research on residual GM optimization based on PEMEA-BP correction
title_fullStr Research on residual GM optimization based on PEMEA-BP correction
title_full_unstemmed Research on residual GM optimization based on PEMEA-BP correction
title_sort research on residual gm optimization based on pemea-bp correction
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/36601fd6d750418ab257ba75c8fde968
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AT lingzhu researchonresidualgmoptimizationbasedonpemeabpcorrection
AT weixing researchonresidualgmoptimizationbasedonpemeabpcorrection
AT xizhang researchonresidualgmoptimizationbasedonpemeabpcorrection
AT zhongpeng researchonresidualgmoptimizationbasedonpemeabpcorrection
AT huatinggou researchonresidualgmoptimizationbasedonpemeabpcorrection
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