ensemble empirical mode decomposition

集合经验模态分解
  • 文章类型: Journal Article
    背景:使用非侵入性技术进行胎儿心脏健康监测对于评估整个妊娠期的胎儿健康状况至关重要。该过程需要清洁且可解释的胎儿心电图(fECG)信号。
    方法:所提出的工作是一种新颖的框架,用于从怀孕母亲的腹部ECG(aECG)记录中引出fECG信号。全面的方法包括对原始ECG信号进行预处理,盲源分离技术(BSS),分解技术,如经验模式分解(EMD),及其变体,如集合经验模式分解(EEMD),具有加性噪声的完整集合经验模式分解(CEEMDAN)。稳健集成员仿射投影(RSMAP)算法被部署用于增强所获得的fECG信号。
    结果:结果表明,所引发的fECG信号的显着改善,最大信噪比(SNR)为31.72dB,相关系数=0.899,最大心率(MHR)在108-142bpm范围内获得腹部ECG信号的所有记录。统计检验给出的p值为0.21,接受零假设。来自PhysioNet的腹部和直接胎儿心电图数据库(ABDFECGDB)已用于此分析。
    结论:所提出的框架证明了一种用于从腹部记录中激发和增强fECG信号的鲁棒有效方法。
    BACKGROUND: The utilization of non-invasive techniques for fetal cardiac health surveillance is pivotal in evaluating fetal well-being throughout the gestational period. This process requires clean and interpretable fetal Electrocardiogram (fECG) signals.
    METHODS: The proposed work is the novel framework for the elicitation of fECG signals from abdominal ECG (aECG) recordings of the pregnant mother. The comprehensive approach encompasses pre-processing of the raw ECG signal, Blind Source Separation techniques (BSS), Decomposition techniques like Empirical Mode Decomposition (EMD), and its variants like Ensemble Empirical Mode Decomposition (EEMD), and Complete Ensemble Empirical Mode Decomposition with Additive Noise (CEEMDAN). The Robust Set Membership Affine Projection (RSMAP) Algorithm is deployed for the enhancement of the obtained fECG signal.
    RESULTS: The results show significant improvements in the elicited fECG signal with a maximum Signal Noise Ratio (SNR) of 31.72 dB and correlation coefficient = 0.899, Maximum Heart Rate(MHR) obtained in the range of 108-142 bpm for all the records of abdominal ECG signals. The statistical test gave a p-value of 0.21 accepting the null hypothesis. The Abdominal and Direct Fetal Electrocardiogram Database (ABDFECGDB) from PhysioNet has been used for this analysis.
    CONCLUSIONS: The proposed framework demonstrates a robust and effective method for the elicitation and enhancement of fECG signals from the abdominal recordings.
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  • 文章类型: Journal Article
    PM2.5浓度预测对控制空气和改善环境起着至关重要的作用。本文提出了一种基于集成经验模态分解(EEMD)的预测模型(EEMD-ALSTM),注意机制与长短期记忆网络(LSTM)通过分解和LSTM的结合,引入注意机制,实现PM2.5浓度的预测。EEMD-ALSTM模型的优点在于它使用集合经验模态分解的方法对原始数据进行分解和组合,减少了原始数据的高非线性,特别是重新引入关注机制,增强了模型对数据特征的提取和保留。通过实验对比,发现EEMD-ALSTM模型在保持相同的R2相关系数的同时将其MAE和RMSE降低了约15%,模型在预测过程中的稳定性也得到了显著提高。
    The concentration prediction of PM2.5 plays a vital role in controlling the air and improving the environment. This paper proposes a prediction model (namely EEMD-ALSTM) based on Ensemble Empirical Mode Decomposition (EEMD), Attention Mechanism and Long Short-Term Memory network (LSTM). Through the combination of decomposition and LSTM, attention mechanism is introduced to realize the prediction of PM2.5 concentration. The advantage of EEMD-ALSTM model is that it decomposes and combines the original data using the method of ensemble empirical mode decomposition, reduces the high nonlinearity of the original data, and Specially reintroduction the attention mechanism, which enhances the extraction and retention of data features by the model. Through experimental comparison, it was found that the EEMD-ALSTM model reduced its MAE and RMSE by about 15% while maintaining the same R2 correlation coefficient, and the stability of the model in the prediction process was also improved significantly.
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  • 文章类型: Journal Article
    对股票市场的准确预测对于股票市场的投资者和其他利益相关者制定有利可图的投资策略非常重要。即使有轻微的边际,预测模型准确性的提高也可以转化为可观的货币回报。然而,股市预测被认为是一个复杂的噪声研究问题,股票数据的复杂性和波动性。近年来,深度学习模型已经成功地为顺序数据提供了可靠的预测。我们通过将窥视孔LSTM与时间注意力层(TAL)相结合,提出了一种基于深度学习的混合分类模型,以准确预测股票市场的方向。包括美国在内的四个世界指数的每日数据,英国,中国和印度,从2005年到2022年,进行了检查。我们通过初步数据分析进行了全面评估,股市预测问题的特征提取和超参数优化。后窥视孔LSTM引入了TAL,以选择有关时间的相关信息并增强所提出模型的性能。将该模型的预测性能与基准模型CNN的预测性能进行了比较,LSTM,SVM和RF使用精度评估指标,精度,召回,F1分数,AUC-ROC,PR-AUC和MCC。实验结果表明,对于大多数评估指标和所有数据集,我们提出的模型的性能优于基准模型。该模型对英国和中国股市的准确率分别为96%和88%,对美国和印度股市的准确率为85%。因此,英国和中国的股市比美国和印度的股市更可预测。我们工作的重要发现包括注意层使窥视孔LSTM能够更好地识别股票市场数据中的长期依赖性和时间模式。可以根据我们提出的预测模型制定有利可图的及时交易策略。
    Accurate predictions of stock markets are important for investors and other stakeholders of the equity markets to formulate profitable investment strategies. The improved accuracy of a prediction model even with a slight margin can translate into considerable monetary returns. However, the stock markets\' prediction is regarded as an intricate research problem for the noise, complexity and volatility of the stocks\' data. In recent years, the deep learning models have been successful in providing robust forecasts for sequential data. We propose a novel deep learning-based hybrid classification model by combining peephole LSTM with temporal attention layer (TAL) to accurately predict the direction of stock markets. The daily data of four world indices including those of U.S., U.K., China and India, from 2005 to 2022, are examined. We present a comprehensive evaluation with preliminary data analysis, feature extraction and hyperparameters\' optimization for the problem of stock market prediction. TAL is introduced post peephole LSTM to select the relevant information with respect to time and enhance the performance of the proposed model. The prediction performance of the proposed model is compared with that of the benchmark models CNN, LSTM, SVM and RF using evaluation metrics of accuracy, precision, recall, F1-score, AUC-ROC, PR-AUC and MCC. The experimental results show the superior performance of our proposed model achieving better scores than the benchmark models for most evaluation metrics and for all datasets. The accuracy of the proposed model is 96% and 88% for U.K. and Chinese stock markets respectively and it is 85% for both U.S. and Indian markets. Hence, the stock markets of U.K. and China are found to be more predictable than those of U.S. and India. Significant findings of our work include that the attention layer enables peephole LSTM to better identify the long-term dependencies and temporal patterns in the stock markets\' data. Profitable and timely trading strategies can be formulated based on our proposed prediction model.
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  • 文章类型: Journal Article
    背景:功能脑网络(FBN)协调脑功能,并在fMRI中使用血氧水平依赖性(BOLD)信号相关性进行研究。先前的研究将FBN变化与衰老和认知能力下降联系起来,但是BOLD信号受到各种生理因素的影响。很少有研究使用信号分解来研究不同时间尺度中BOLD信号的固有分量。本研究旨在探讨内在FBN与传统BOLD-FBN的差异,在没有痴呆的健康队列中检查他们与年龄和认知表现的关联。
    方法:396名没有痴呆的健康参与者(男性=157;女性=239;年龄范围=20-85岁)被纳入本研究。利用集合经验模态分解,将BOLD信号分解为几个具有不同时间尺度的固有信号,和FBN是基于BOLD和固有信号构建的。随后,估计网络特征-全局效率和局部效率值-以确定它们与年龄和认知表现的关系。
    结果:研究结果表明,传统的BOLD-FBN的全球效率与年龄显着相关,特定的内在FBN有助于这些相关性。此外,局部效率分析表明,内在FBN在识别与年龄和认知表现相关的大脑区域方面比传统BOLD-FBN更有意义.
    结论:这些结果强调了在构建FBN时探索BOLD信号时间尺度的重要性,并强调了特定内在FBN与衰老和认知表现的相关性。因此,这种基于分解的FBN构建方法可能为未来的fMRI研究提供有价值的见解。
    BACKGROUND: Functional brain networks (FBNs) coordinate brain functions and are studied in fMRI using blood-oxygen-level-dependent (BOLD) signal correlations. Previous research links FBN changes to aging and cognitive decline, but various physiological factors influnce BOLD signals. Few studies have investigated the intrinsic components of the BOLD signal in different timescales using signal decomposition. This study aimed to explore differences between intrinsic FBNs and traditional BOLD-FBN, examining their associations with age and cognitive performance in a healthy cohort without dementia.
    METHODS: A total of 396 healthy participants without dementia (men = 157; women = 239; age range = 20-85 years) were enrolled in this study. The BOLD signal was decomposed into several intrinsic signals with different timescales using ensemble empirical mode decomposition, and FBNs were constructed based on both the BOLD and intrinsic signals. Subsequently, network features-global efficiency and local efficiency values-were estimated to determine their relationship with age and cognitive performance.
    RESULTS: The findings revealed that the global efficiency of traditional BOLD-FBN correlated significantly with age, with specific intrinsic FBNs contributing to these correlations. Moreover, local efficiency analysis demonstrated that intrinsic FBNs were more meaningful than traditional BOLD-FBN in identifying brain regions related to age and cognitive performance.
    CONCLUSIONS: These results underscore the importance of exploring timescales of BOLD signals when constructing FBN and highlight the relevance of specific intrinsic FBNs to aging and cognitive performance. Consequently, this decomposition-based FBN-building approach may offer valuable insights for future fMRI studies.
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  • 文章类型: Journal Article
    气候变暖条件下,水的可利用性(WA)是影响陆地生态系统碳循环的关键因素。但它在多个时间尺度上对初级生产总值(EWA-3GPP)的影响知之甚少。我们使用集合经验模态分解(EEMD)和偏相关分析来评估不同时间尺度下的WA-3GPP关系(RWA-3GPP),和地理加权回归(GWR),使用多个3GPP数据集分析它们从1982年到2018年的时间动态,包括植被的近红外辐射,FLUXCOMGP,和涡流协方差-光使用效率3GPP。我们发现3年和7年时间尺度主导了全球WA变异性(61.18%和11.95%),其次是17年和40年时间尺度(7.28%和8.23%)。长期趋势也影响了10.83%的地区,主要在潮湿地区。我们发现了具有不同来源产品的EWA-3GPP和RWA-3GPP的一致时空模式:在高纬度地区,随着时间尺度的增加,RWA-3GPP从负变为正,而相反的情况发生在中低纬度地区。森林在所有时间尺度上的RWA-3GPP都很弱,灌木在长时间尺度上表现出负RWA-3GPP,草地(GL)在短时间尺度上显示出正RWA-3GPP。全球范围内,EWA-3GPP,无论是正面还是负面,在3-显著增强,7-,和17年的时间尺度。对于干旱和潮湿地区,半干旱和半湿润地区的EWA-3GPP正增长较快,而潮湿地区的负EWA-3GPP增加更快。在生态系统类型中,在GL中,3年时间尺度上的正EWA-3GPP增长更快,落叶阔叶林,和稀树草原(SA),而在常绿针叶林中,其他时间尺度的负EWA-3GPP增加更快,木质稀树草原,SA。我们的研究揭示了在多个时间尺度上复杂而动态的EWA-3GPP,为理解陆地生态系统对气候变化的响应提供了新的视角。
    Water availability (WA) is a key factor influencing the carbon cycle of terrestrial ecosystems under climate warming, but its effects on gross primary production (EWA-GPP ) at multiple time scales are poorly understood. We used ensemble empirical mode decomposition (EEMD) and partial correlation analysis to assess the WA-GPP relationship (RWA-GPP ) at different time scales, and geographically weighted regression (GWR) to analyze their temporal dynamics from 1982 to 2018 with multiple GPP datasets, including near-infrared radiance of vegetation GPP, FLUXCOM GPP, and eddy covariance-light-use efficiency GPP. We found that the 3- and 7-year time scales dominated global WA variability (61.18% and 11.95%), followed by the 17- and 40-year time scales (7.28% and 8.23%). The long-term trend also influenced 10.83% of the regions, mainly in humid areas. We found consistent spatiotemporal patterns of the EWA-GPP and RWA-GPP with different source products: In high-latitude regions, RWA-GPP changed from negative to positive as the time scale increased, while the opposite occurred in mid-low latitudes. Forests had weak RWA-GPP at all time scales, shrublands showed negative RWA-GPP at long time scales, and grassland (GL) showed a positive RWA-GPP at short time scales. Globally, the EWA-GPP , whether positive or negative, enhanced significantly at 3-, 7-, and 17-year time scales. For arid and humid zones, the semi-arid and sub-humid zones experienced a faster increase in the positive EWA-GPP , whereas the humid zones experienced a faster increase in the negative EWA-GPP . At the ecosystem types, the positive EWA-GPP at a 3-year time scale increased faster in GL, deciduous broadleaf forest, and savanna (SA), whereas the negative EWA-GPP at other time scales increased faster in evergreen needleleaf forest, woody savannas, and SA. Our study reveals the complex and dynamic EWA-GPP at multiple time scales, which provides a new perspective for understanding the responses of terrestrial ecosystems to climate change.
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  • 文章类型: Journal Article
    We propose a method to enhance the accuracy of arrival time picking of noisy microseismic recordings. A series of intrinsic mode functions (IMFs) of the microseismic signal are initially decomposed by employing the ensemble empirical mode decomposition. Subsequently, the sample entropy values of the obtained IMFs are calculated and applied to set an appropriate threshold for selecting IMFs. These are then reconstructed to distinguish between noise and useful signals. Ultimately, the Akaike information criterion picker is used to determine the arrival time of the denoised signal. Test results using synthetic noisy microseismic recordings demonstrate that the proposed approach can significantly reduce picking errors, with errors within the range of 1-3 sample intervals. The proposed method can also give a more stable picking result when applied to different microseismic recordings with different signal-to-noise ratios. Further application in real microseismic recordings confirms that the developed method can estimate an accurate arrival time of noisy microseismic recordings.
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  • 文章类型: Journal Article
    已经证明,海洋热浪(MHW)的频率增加,持续时间,在过去的几十年里,在全球持续变暖的情况下,这一趋势将进一步加速。虽然在全球持续变暖的情况下,海表温度(SST)上升的预期结果是更强烈和频繁的MHW,目前尚不清楚SST的每摄氏度变暖趋势对MHW指标的变化有多大贡献.这里,我们通过使用基于过去四十年的观测数据集的自适应数据分析方法,重点研究MHW指标如何随着SST变暖趋势而演变。我们发现,全球平均每年MHW频率的增长率,持续时间,最大强度约为3.7个事件,7.5天,每摄氏度SST上升2.2摄氏度,分别。每年MHW日的增长率和受MHW影响的全球海洋的空间范围约为每摄氏度SST上升58.8天和13.9%,分别。基于这些基于观测的增长率和选定的耦合模型比对项目第6阶段(CMIP6)模型的预计SST变暖,年MHW日变化的空间分布,频率,累积强度预计为2倍,4倍,在三种社会经济途径下增加了6到8倍(即,SSP126、SSP245和SSP585),分别。全球平均每年MHW日将增加到大约224.2±26.9日,最大的变化预计将发生在东北太平洋,北大西洋,南印度洋,和南大洋的部分地区,在SSP585下,到二十一世纪末,全球约有14.8±5.7%的海洋达到永久的MHW状态。
    It has been proven that marine heatwaves (MHWs) have increased in frequency, duration, and intensity over the past few decades, and this trend will accelerate further under continued global warming. While more intense and frequent MHWs are an expected consequence of rising sea surface temperatures (SSTs) under continued global warming, it remains unclear to what degree per Celsius warming trend of SSTs contributes to the changes in the MHW metrics. Here, we focus on how the MHW metrics evolve with the SST warming trend by using an adaptive data analysis method based on observational datasets covering the past four decades. We find that the globally averaged increasing rates of the annual MHW frequency, duration, and maximum intensity are approximately 3.7 events, 7.5 days, and 2.2° Celsius per degree Celsius of SST rise, respectively. The increasing rates for the annual MHW days and the fraction of the spatial extents to the global ocean affected by MHWs are approximately 58.8 days and 13.9 % per degree Celsius of SST rise, respectively. Based on these observational-based increasing rates and the projected SST warming from the selected Coupled Model Intercomparison Project Phase 6 (CMIP6) models, the spatial distributions of changes in annual MHW days, frequency, and cumulative intensity are projected to exhibit 2-fold, 4-fold, and 6 to 8-fold increases under the three socioeconomic pathways (i.e., SSP126, SSP245, and SSP585), respectively. The globally averaged annual MHW days will increase to approximately 224.2 ± 26.9 days, and the largest changes are projected to occur in the northeast Pacific, the North Atlantic, the south Indian Oceans, and parts of the Southern Ocean, with approximately 14.8 ± 5.7 % of the global ocean reaching a permanent MHW state by the end of the twenty-first century under SSP585.
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  • 文章类型: Journal Article
    市场之间的信息流动对于引导投资者和决策者进行资产的有效配置和积极的市场调控具有重要意义,分别。本研究使用每日美国金融压力指数(USFSI)和其他发达经济体金融压力指数(OAEFSI)代替全球金融压力指数,研究了全球金融市场压力对非洲股票市场的信息流的影响。要了解各种投资视野中的信息流动态,采用基于集成经验模态分解(EEMD)的传递熵。我们的发现表明,非洲股票市场对全球金融市场压力造成的信息流风险很高。然而,我们根据短期加纳和埃及以及坦桑尼亚的市场状况确定多元化前景,科特迪瓦,从中期来看,埃及。实证结果还表明,从全球金融压力到非洲股票市场的信息流取决于时间尺度,经济关系,以及全球金融市场的状况。这些发现对投资者来说很重要,投资组合经理,从业者,和政策制定者。
    The flow of information between markets is important to guide investors and policymakers in the effective allocation of assets and proactive market regulation, respectively. This study examines the impact of information flow from global financial market stress on the African stock markets using the daily US financial stress index (USFSI) and other advanced economies\' financial stress index (OAEFSI) to proxy the global financial stress index. To understand the information flow dynamics across various investment horizons, the ensemble empirical mode decomposition (EEMD)-based transfer entropy is employed. Our findings reveal that African equity markets are highly risky for information flow from global financial market stress. However, we identify diversification prospects based on market conditions for Ghana and Egypt in the short term and Tanzania, Cote D\'Ivoire, and Egypt in the medium term. Empirical results also show that the information flow from global financial stress to African stock markets depends on time scales, economic relations, and the state of global financial markets. The findings are important for investors, portfolio managers, practitioners, and policymakers.
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  • 文章类型: Journal Article
    自20世纪80年代以来,全球植被光合作用和生产力大幅增加,但是这种趋势在时间和空间上都是异质的。这里,我们将全球植被绿色的长期趋势归类为持续绿化,持续褐变和绿变褐变。我们发现,到2016年,全球植被的绿色程度开始趋于平稳,随着过去十年褐变面积的增加,达到3900万平方公里(占世界植被面积的35.9%)。该面积大于持续增长的面积(2780万平方公里,26.4%);因此,自2010年以来,先前较早增长的12.0%±3.1%(0.019±0.004NDVIa-1)已被抵消(2010-2016年,P<0.05)。全球初级生产总值也趋于平稳,在时间和空间上遵循植被绿色的趋势。由于干旱的空间扩展,土壤水分限制增加了,其影响超过温度和太阳辐射的影响。地球系统模型中的土地子模型尚未确定全球初级总产量对土壤水分限制的这种反应。我们的结果提供了经验证据,表明全球植被绿色和初级生产被水胁迫所抵消,并表明随着全球变暖的持续,土地子模型可能高估了全球植被绿化吸收碳的能力。
    Global vegetation photosynthesis and productivity have increased substantially since the 1980s, but this trend is heterogeneous in both time and space. Here, we categorize the secular trend in global vegetation greenness into sustained greening, sustained browning and greening-to-browning. We found that by 2016, increased global vegetation greenness had begun to level off, with the area of browning increasing in the last decade, reaching 39.0 million km2 (35.9% of the world\'s vegetated area). This area is larger than the area with sustained increasing growth (27.8 million km2, 26.4%); thus, 12.0% ± 3.1% (0.019 ± 0.004 NDVI a-1) of the previous earlier increase has been offset since 2010 (2010-2016, P < 0.05). Global gross primary production also leveled off, following the trend in vegetation greenness in time and space. This leveling off was caused by increasing soil water limitations due to the spatial expansion of drought, whose impact dominated over the impacts of temperature and solar radiation. This response of global gross primary production to soil water limitation was not identified by land submodels within Earth system models. Our results provide empirical evidence that global vegetation greenness and primary production are offset by water stress and suggest that as global warming continues, land submodels may overestimate the world\'s capacity to take up carbon with global vegetation greening.
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  • 文章类型: Journal Article
    背景:2019年开始蔓延的新型冠状病毒肺炎仍在肆虐,并给各国的医疗系统和政府带来了负担。对于政策制定和医疗资源决策,一个良好的预测模型是监测和评估疫情趋势的必要条件。我们使用长短期记忆(LSTM)模型和基于集成经验模态分解(EEMD)的改进混合模型来预测COVID-19趋势。方法:数据来自哈佛Dataverse。2020年1月21日至2021年4月25日加州疫情数据,美国受影响最严重的州,用于开发LSTM模型和EEMD-LSTM混合模型,这是一个结合集成经验模态分解的LSTM模型。在这项研究中,90%的数据被用来拟合模型作为训练集,而随后的10%用于检验模型的预测效果。平均绝对百分比误差,平均绝对误差,和均方根误差用于评估模型的预测性能;结果:结果表明,截至2021年4月25日,加利福尼亚州的确诊病例数量正在增加,没有明显的急剧下降的证据。2021年4月25日,LSTM模型预测3666418例确诊病例,而EEMD-LSTM预测3681150。LSTM和EEMD-LSTM模型的平均绝对百分比误差分别为0.0151和0.0051。LSTM模型的平均绝对误差和均方根误差分别为5.58×104和5.63×104,EEMD-LSTM模型为1.9×104和2.43×104,结论:结果表明EEMD-LSTM模型优于单个LSTM模型,建立的EEMD-LSTM模型可用于疫情监测和评估,为疫情防控提供定量分析依据。
    The novel coronavirus pneumonia that began to spread in 2019 is still raging and has placed a burden on medical systems and governments in various countries. For policymaking and medical resource decisions, a good prediction model is necessary to monitor and evaluate the trends of the epidemic. We used a long short-term memory (LSTM) model and the improved hybrid model based on ensemble empirical mode decomposition (EEMD) to predict COVID-19 trends; Methods: The data were collected from the Harvard Dataverse. Epidemic data from 21 January 2020 to 25 April 2021 for California, the most severely affected state in the United States, were used to develop an LSTM model and an EEMD-LSTM hybrid model, which is an LSTM model combined with ensemble empirical mode decomposition. In this study, ninety percent of the data were adopted to fit the models as a training set, while the subsequent 10% were used to test the prediction effect of the models. The mean absolute percentage error, mean absolute error, and root mean square error were used to evaluate the prediction performances of the models; Results: The results indicated that the number of confirmed cases in California was increasing as of 25 April 2021, with no obvious evidence of a sharp decline. On 25 April 2021, the LSTM model predicted 3666418 confirmed cases, whereas the EEMD-LSTM predicted 3681150. The mean absolute percentage errors for the LSTM and EEMD-LSTM models were 0.0151 and 0.0051, respectively. The mean absolute and root mean square errors were 5.58 × 104 and 5.63 × 104 for the LSTM model and 1.9 × 104 and 2.43 × 104 for the EEMD-LSTM model, respectively; Conclusions: The results showed the advantage of an EEMD-LSTM model over a single LSTM model, and the established EEMD-LSTM model may be suitable for monitoring and evaluating the epidemic situation and providing quantitative analysis evidence for epidemic prevention and control.
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