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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Nature Portfolio
2020
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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) |
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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 |
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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 |
work_keys_str_mv |
AT junhangduan researchonresidualgmoptimizationbasedonpemeabpcorrection AT lingzhu researchonresidualgmoptimizationbasedonpemeabpcorrection AT weixing researchonresidualgmoptimizationbasedonpemeabpcorrection AT xizhang researchonresidualgmoptimizationbasedonpemeabpcorrection AT zhongpeng researchonresidualgmoptimizationbasedonpemeabpcorrection AT huatinggou researchonresidualgmoptimizationbasedonpemeabpcorrection |
_version_ |
1718384162873802752 |