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罗兰C系统时间序列预测模型的比较分析:探索动态加权的有效性

Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting.

作者信息

Di Jianchen, Wu Miao, Fu Jun, Li Wenkui, Jin Xianzhou, Liu Jinyu

机构信息

School of Electrical Engineering, Naval University of Engineering, Wuhan 430033, China.

出版信息

Sensors (Basel). 2025 Jul 17;25(14):4462. doi: 10.3390/s25144462.

DOI:10.3390/s25144462
PMID:40732592
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12299931/
Abstract

This paper presents an advanced time-series forecasting methodology that integrates multiple machine learning models to improve data prediction in enhanced long-range navigation (eLoran) systems. The analysis evaluates five forecasting approaches: multivariate linear regression, long short-term memory (LSTM) networks, random forest (RF), a fusion model combining LSTM and RF, and a dynamic weighting (DW) model. The results demonstrate that the DW model achieves the highest prediction accuracy while maintaining strong computational efficiency, making it particularly suitable for real-time applications with stringent performance requirements. Although the LSTM model effectively captures temporal dependencies, it demands considerable computational resources. The hybrid model utilises the strengths of LSTM and RF to enhance the accuracy but involves extended training times. By contrast, the DW model dynamically adjusts the relative contributions of LSTM and RF on the basis of the data characteristics, thereby enhancing the accuracy while significantly reducing the computational demands. Demonstrating exceptional performance on the ASF2 dataset, the DW model provides a well-balanced solution that combines precision with operational efficiency. This research offers valuable insights into optimising additional secondary phase factor (ASF) prediction in eLoran systems and highlights the broader applicability of real-time forecasting models.

摘要

本文提出了一种先进的时间序列预测方法,该方法集成了多个机器学习模型,以改进增强型远程导航(eLoran)系统中的数据预测。该分析评估了五种预测方法:多元线性回归、长短期记忆(LSTM)网络、随机森林(RF)、结合LSTM和RF的融合模型以及动态加权(DW)模型。结果表明,DW模型在保持强大计算效率的同时实现了最高的预测精度,使其特别适用于具有严格性能要求的实时应用。虽然LSTM模型有效地捕捉了时间依赖性,但它需要大量的计算资源。混合模型利用LSTM和RF的优势来提高准确性,但训练时间较长。相比之下,DW模型根据数据特征动态调整LSTM和RF的相对贡献,从而提高准确性,同时显著降低计算需求。DW模型在ASF2数据集上表现出卓越性能,提供了一种将精度与运行效率相结合的平衡解决方案。这项研究为优化eLoran系统中的附加二次相位因子(ASF)预测提供了有价值的见解,并突出了实时预测模型更广泛的适用性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/3fb9ce795587/sensors-25-04462-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/67e644442b86/sensors-25-04462-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/3b4c742dc3c4/sensors-25-04462-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/ac9d1aa7bc42/sensors-25-04462-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/256c7981107f/sensors-25-04462-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/bba0cd8b6353/sensors-25-04462-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/4223ea46a9c9/sensors-25-04462-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/9009e82777e7/sensors-25-04462-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/d72a3cec3b16/sensors-25-04462-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/81403e02c920/sensors-25-04462-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/3fb9ce795587/sensors-25-04462-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/67e644442b86/sensors-25-04462-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/3b4c742dc3c4/sensors-25-04462-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/ac9d1aa7bc42/sensors-25-04462-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/256c7981107f/sensors-25-04462-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/bba0cd8b6353/sensors-25-04462-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/4223ea46a9c9/sensors-25-04462-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/9009e82777e7/sensors-25-04462-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/d72a3cec3b16/sensors-25-04462-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/81403e02c920/sensors-25-04462-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a19/12299931/3fb9ce795587/sensors-25-04462-g010.jpg

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本文引用的文献

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Sensors (Basel). 2023 May 29;23(11):5176. doi: 10.3390/s23115176.
2
Beyond t test and ANOVA: applications of mixed-effects models for more rigorous statistical analysis in neuroscience research.超越 t 检验和 ANOVA:混合效应模型在神经科学研究中更严格的统计分析中的应用。
Neuron. 2022 Jan 5;110(1):21-35. doi: 10.1016/j.neuron.2021.10.030. Epub 2021 Nov 15.