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Global Properties of Cytokine-Enhanced HIV-1 Dynamics Model with Adaptive Immunity and Distributed Delays 具有适应性免疫和分布延迟的细胞因子增强HIV-1动力学模型的全局特性
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.3390/computation11110217
Elsayed Dahy, Ahmed M. Elaiw, Aeshah A. Raezah, Hamdy Z. Zidan, Abd Elsattar A. Abdellatif
In this paper, we study a model that enhances our understanding of cytokine-influenced HIV-1 infection. The impact of adaptive immune response (cytotoxic T lymphocytes (CTLs) and antibodies) and time delay on HIV-1 infection is included. The model takes into account two types of distributional delays, (i) the delay in the HIV-1 infection of CD4+T cells and (ii) the maturation delay of new virions. We first investigated the fundamental characteristics of the system, then found the system’s equilibria. We derived five threshold parameters, ℜi, i = 0, 1,…, 4, which completely determine the existence and stability of the equilibria. The Lyapunov method was used to prove the global asymptotic stability for all equilibria. We illustrate the theoretical results by performing numerical simulations. We also performed a sensitivity analysis on the basic reproduction number ℜ0 and identified the most-sensitive parameters. We found that pyroptosis contributes to the number ℜ0, and then, neglecting it will make ℜ0 underevaluated. Necrosulfonamide and highly active antiretroviral drug therapy (HAART) can be effective in preventing pyroptosis and at reducing viral replication. Further, it was also found that increasing time delays can effectively decrease ℜ0 and, then, inhibit HIV-1 replication. Furthermore, it is shown that both CTLs and antibody immune responses have no effect on ℜ0, while this can result in less HIV-1 infection.
在本文中,我们研究了一个模型,提高了我们对细胞因子影响的HIV-1感染的理解。适应性免疫反应(细胞毒性T淋巴细胞(ctl)和抗体)和时间延迟对HIV-1感染的影响也包括在内。该模型考虑了两种类型的分布延迟,(i) CD4+T细胞HIV-1感染的延迟和(ii)新病毒粒子的成熟延迟。我们首先研究了系统的基本特征,然后找到了系统的平衡点。我们导出了5个阈值参数,即i, i = 0,1,…,4,它们完全决定了平衡点的存在性和稳定性。利用Lyapunov方法证明了所有平衡点的全局渐近稳定性。我们通过数值模拟来说明理论结果。我们还对基本繁殖数进行了敏感性分析,并确定了最敏感的参数。我们发现,焦亡作用是导致数为0的原因之一,忽略焦亡作用会导致对数为0的评价被低估。坏死性磺胺和高效抗逆转录病毒药物治疗(HAART)可以有效防止焦亡和减少病毒复制。此外,研究还发现,增加时间延迟可以有效地减少r0,从而抑制HIV-1的复制。此外,研究表明ctl和抗体免疫反应对免疫球蛋白o没有影响,而这可以减少HIV-1感染。
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引用次数: 0
A Simulated-Annealing-Quasi-Oppositional-Teaching-Learning-Based Optimization Algorithm for Distributed Generation Allocation 一种基于模拟退火-拟对抗-教-学的分布式发电分配优化算法
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.3390/computation11110214
Seyed Iman Taheri, Mohammadreza Davoodi, Mohd. Hasan Ali
Conventional evolutionary optimization techniques often struggle with finding global optima, getting stuck in local optima instead, and can be sensitive to initial conditions and parameter settings. Efficient Distributed Generation (DG) allocation in distribution systems hinges on streamlined optimization algorithms that handle complex energy operations, support real-time decisions, adapt to dynamics, and improve system performance, considering cost and power quality. This paper proposes the Simulated-Annealing-Quasi-Oppositional-Teaching-Learning-Based Optimization Algorithm to efficiently allocate DGs within a distribution test system. The study focuses on wind turbines, photovoltaic units, and fuel cells as prominent DG due to their growing usage trends. The optimization goals include minimizing voltage losses, reducing costs, and mitigating greenhouse gas emissions in the distribution system. The proposed algorithm is implemented and evaluated on the IEEE 70-bus test system, with a comparative analysis conducted against other evolutionary methods such as Genetic Algorithm (GA), Particle Swarm Optimization (PSO), Honey Bee Mating Optimization (HBMO), and Teaching-Learning-Based Optimization (TLBO) algorithms. Results indicate that the proposed algorithm is effective in allocating the DGs. Statistical testing confirms significant results (probability < 0.1), indicating superior optimization capabilities for this specific problem. Crucially, the proposed algorithm excels in both accuracy and computational speed compared to other methods studied.
传统的进化优化技术往往难以找到全局最优解,而陷入局部最优解,并且可能对初始条件和参数设置很敏感。分布式发电(DG)在配电系统中的高效分配取决于简化的优化算法,这些算法可以处理复杂的能源操作,支持实时决策,适应动态,提高系统性能,同时考虑成本和电能质量。本文提出了一种基于模拟退火-拟对抗-教学-学习的优化算法,用于配电测试系统中dg的有效分配。该研究将重点放在风力涡轮机、光伏发电机组和燃料电池上,因为它们的使用趋势日益增长。优化目标包括最大限度地减少电压损失,降低成本,减少配电系统中的温室气体排放。提出的算法在IEEE 70总线测试系统上进行了实现和评估,并与遗传算法(GA)、粒子群优化(PSO)、蜜蜂交配优化(HBMO)和基于教学的优化(TLBO)算法等其他进化方法进行了比较分析。结果表明,该算法能够有效地分配dg。统计检验证实了显著结果(概率<0.1),表明针对该特定问题的卓越优化能力。最重要的是,与其他研究方法相比,该算法在精度和计算速度方面都具有优势。
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引用次数: 0
Deep Learning Enriched Automation in Damage Detection for Sustainable Operation in Pipelines with Welding Defects under Varying Embedment Conditions 基于深度学习的焊接缺陷管道损伤检测自动化研究
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.3390/computation11110218
Li Shang, Zi Zhang, Fujian Tang, Qi Cao, Nita Yodo, Hong Pan, Zhibin Lin
Welded joints in metallic pipelines and other structures are used to connect metallic structures. Welding defects, such as cracks and lack of fusion, are vulnerable to initiating early-age cracking and corrosion. The present damage identification techniques use ultrasonic-guided wave procedures, which depend on the change in the physical characteristics of waveforms as they propagate to determine damage states. However, the complexity of geometry and material discontinuity (e.g., the roughness of a weldment with or without defects) could lead to complicated wave reflection and scatters, thus increasing the difficulty in the signal processing. Artificial intelligence and machine learning exhibit their capability for data fusion, including processing signals originally from ultrasonic-guided waves. This study aims to utilize deep learning approaches, including a convolutional neural network (CNN), Long-short term memory network (LSTM), or hybrid CNN-LSTM model, to demonstrate the capability in automation for damage detection for pipes with welded joints embedded in soil. The damage features in terms of welding defect types and severity as well as multiple defects are used to understand the effectiveness of the hybrid CNN-LSTM model, which is further compared to the two commonly used deep learning approaches, CNN and LSTM. The results showed the hybrid CNN-LSTM model has much higher classification accuracy for damage states under all scenarios in comparison with the CNN and LSTM models. Furthermore, the impacts of the pipelines embedded in different types of materials, ranging from loose sand to stiff soil, on signal processing and data classification were further calibrated. The results demonstrated these deep learning approaches can still perform well to detect various pipeline damage under varying embedment conditions. However, the results demonstrate when concrete is used as an embedding material, high attention to absorbing the signal energy of concrete could pose a challenge for the signal processing, particularly under high noise levels.
金属管道和其他结构中的焊接接头用于连接金属结构。焊接缺陷,如裂纹和熔合不足,容易引发早期开裂和腐蚀。目前的损伤识别技术使用超声导波程序,该程序依赖于波形在传播过程中物理特性的变化来确定损伤状态。然而,几何结构的复杂性和材料的不连续(例如,有缺陷或没有缺陷的焊件的粗糙度)可能导致复杂的波反射和散射,从而增加了信号处理的难度。人工智能和机器学习展示了它们的数据融合能力,包括处理来自超声导波的信号。本研究旨在利用深度学习方法,包括卷积神经网络(CNN)、长短期记忆网络(LSTM)或CNN-LSTM混合模型,来证明对嵌入土壤中的焊接接头的管道进行损伤检测的自动化能力。利用焊接缺陷类型和严重程度以及多个缺陷的损伤特征来了解CNN-LSTM混合模型的有效性,并将其与CNN和LSTM两种常用的深度学习方法进行比较。结果表明,与CNN和LSTM模型相比,CNN-LSTM混合模型在所有场景下对损伤状态的分类精度都有明显提高。此外,进一步标定了埋置在不同类型材料(从松散砂到刚性土)中的管道对信号处理和数据分类的影响。结果表明,这些深度学习方法仍然可以很好地检测不同嵌入条件下的各种管道损伤。然而,结果表明,当混凝土作为嵌入材料时,高度重视吸收混凝土的信号能量可能会对信号处理构成挑战,特别是在高噪声水平下。
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引用次数: 0
Learning Trajectory Tracking for an Autonomous Surface Vehicle in Urban Waterways 城市水道中自动水面车辆的学习轨迹跟踪
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.3390/computation11110216
Toma Sikora, Jonathan Klein Schiphorst, Riccardo Scattolini
Roboat is an autonomous surface vessel (ASV) for urban waterways, developed as a research project by the AMS Institute and MIT. The platform can provide numerous functions to a city, such as transport, dynamic infrastructure, and an autonomous waste management system. This paper presents the development of a learning-based controller for the Roboat platform with the goal of achieving robustness and generalization properties. Specifically, when subject to uncertainty in the model or external disturbances, the proposed controller should be able to track set trajectories with less tracking error than the current nonlinear model predictive controller (NMPC) used on the ASV. To achieve this, a simulation of the system dynamics was developed as part of this work, based on the research presented in the literature and on the previous research performed on the Roboat platform. The simulation process also included the modeling of the necessary uncertainties and disturbances. In this simulation, a trajectory tracking agent was trained using the proximal policy optimization (PPO) algorithm. The trajectory tracking of the trained agent was then validated and compared to the current control strategy both in simulations and in the real world.
Roboat是一种用于城市水道的自动水面船(ASV),是AMS研究所和麻省理工学院共同开发的研究项目。该平台可以为城市提供多种功能,如交通、动态基础设施和自主废物管理系统。本文提出了一种基于学习的Roboat平台控制器的开发,其目标是实现鲁棒性和泛化性。具体来说,当受到模型中的不确定性或外部干扰时,所提出的控制器应该能够以比当前用于ASV的非线性模型预测控制器(NMPC)更小的跟踪误差跟踪集轨迹。为了实现这一目标,基于文献中的研究和之前在Roboat平台上进行的研究,开发了系统动力学仿真作为这项工作的一部分。仿真过程还包括必要的不确定性和干扰的建模。在此仿真中,使用近端策略优化(PPO)算法训练轨迹跟踪代理。然后对训练后的智能体的轨迹跟踪进行验证,并在模拟和现实世界中与当前的控制策略进行比较。
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引用次数: 0
Numerical Approximations of Diblock Copolymer Model Using a Modified Leapfrog Time-Marching Scheme 二嵌段共聚物模型的改进跨跃时间推进法数值逼近
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.3390/computation11110215
Lizhen Chen, Ying Ma, Bo Ren, Guohui Zhang
An efficient modified leapfrog time-marching scheme for the diblock copolymer model is investigated in this paper. The proposed scheme offers three main advantages. Firstly, it is linear in time, requiring only a linear algebra system to be solved at each time-marching step. This leads to a significant reduction in computational cost compared to other methods. Secondly, the scheme ensures unconditional energy stability, allowing for a large time step to be used without compromising solution stability. Thirdly, the existence and uniqueness of the numerical solution at each time step is rigorously proven, ensuring the reliability and accuracy of the method. A numerical example is also included to demonstrate and validate the proposed algorithm, showing its accuracy and efficiency in practical applications.
本文研究了二嵌段共聚物模型的一种有效的改进跨越式时间推进方案。提议的方案有三个主要优点。首先,它在时间上是线性的,每一步只需要求解一个线性代数系统。与其他方法相比,这可以显著降低计算成本。其次,该方案确保了无条件的能量稳定性,允许在不影响解稳定性的情况下使用大的时间步长。第三,严格证明了各时间步数值解的存在唯一性,保证了方法的可靠性和准确性。最后通过数值算例对该算法进行了验证,表明了该算法在实际应用中的准确性和有效性。
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引用次数: 0
Modeling of Wind Turbine Interactions and Wind Farm Losses Using the Velocity-Dependent Actuator Disc Model 基于速度相关驱动盘模型的风力涡轮机相互作用和风电场损失建模
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-01 DOI: 10.3390/computation11110213
Ziemowit Malecha, Gideon Dsouza
This paper analyzes the interaction of wind turbines and losses in wind farms using computational fluid dynamics (CFD). The mathematical model used consisted of three-dimensional Reynolds-averaged Navier–Stokes (RANS) equations, while the presence of wind turbines in the flow was simulated as additional source terms. The novelty of the research is the definition of the source term as a velocity-dependent actuator disc model (ADM). This allowed for modeling the operation of a wind farm consisting of real wind turbines, characterized by power coefficients Cp and thrust force coefficients CT, which are a function of atmospheric wind speed. The calculations presented used a real 5 MW Gamesa turbine. Two different turbine spacings, 5D and 10D, where D is the diameter of the turbine, and two different locations corresponding to the offshore and onshore conditions were examined. The proposed model can be used to analyze wind farm losses not only in terms of the geometric distribution of individual turbines but also in terms of a specific type of wind turbine and in the entire wind speed spectrum.
本文利用计算流体力学(CFD)分析了风力发电机与风电场损失的相互作用。所使用的数学模型由三维reynolds -average Navier-Stokes (RANS)方程组成,而气流中风力涡轮机的存在作为附加源项进行模拟。该研究的新颖之处在于将源项定义为与速度相关的驱动器盘模型(ADM)。这允许模拟由真实风力涡轮机组成的风电场的运行,其特征是功率系数Cp和推力系数CT,它们是大气风速的函数。给出的计算使用了一个真正的5兆瓦Gamesa涡轮机。测试了两种不同的涡轮机间距5D和10D,其中D是涡轮机的直径,以及对应于海上和陆上条件的两个不同位置。所提出的模型不仅可以根据单个涡轮机的几何分布,而且可以根据特定类型的风力涡轮机和整个风速谱来分析风电场的损失。
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引用次数: 0
Evaluating the Performance of Multiple Sequence Alignment Programs with Application to Genotyping SARS-CoV-2 in the Saudi Population 评价多序列比对程序在沙特人群SARS-CoV-2基因分型中的应用
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-01 DOI: 10.3390/computation11110212
Aminah Alqahtani, Meznah Almutairy
This study explores the accuracy and efficiency of multiple sequence alignment (MSA) programs, focusing on ClustalΩ, MAFFT, and MUSCLE in the context of genotyping SARS-CoV-2 for the Saudi population. Our results indicate that MAFFT outperforms the others, making it an ideal choice for large-scale genomic analyses. The comparative performance of MSAs assembled using MergeAlign demonstrates that MAFFT and MUSCLE consistently exhibit higher accuracy than ClustalΩ in both reference-based and consensus-based approaches. The evaluation of genotyping effectiveness reveals that the addition of a reference sequence, such as the SARS-CoV-2 Wuhan-Hu-1 isolate, does not significantly affect the alignment process, suggesting that using consensus sequences derived from individual MSA alignments may yield comparable genotyping outcomes. Investigating single-nucleotide polymorphisms (SNPs) and mutations highlights distinctive features of MSA programs. ClustalΩ and MAFFT show similar counts, while MUSCLE displays the highest SNP count. High-frequency SNP analysis identifies MAFFT as the most accurate MSA program, emphasizing its reliability. Comparisons between Saudi and global SARS-CoV-2 populations underscore regional genetic variations. Saudis exhibit consistently higher frequencies of high-frequency SNPs, attributed to genetic similarity within the population. Transmission dynamics analysis reveals a higher frequency of co-mutations in the Saudi dataset, suggesting shared evolutionary patterns. These findings emphasize the importance of considering regional diversity in genetic analyses.
本研究探讨了多序列比对(MSA)程序的准确性和效率,重点关注ClustalΩ、MAFFT和MUSCLE在沙特人群SARS-CoV-2基因分型的背景下。我们的结果表明,MAFFT优于其他方法,使其成为大规模基因组分析的理想选择。使用MergeAlign组装的msa的比较性能表明,在基于参考和基于共识的方法中,MAFFT和MUSCLE始终表现出比ClustalΩ更高的准确性。基因分型有效性评估显示,添加参考序列(如SARS-CoV-2武汉- hu -1分离物)不会显著影响比对过程,这表明使用来自单个MSA比对的共识序列可能产生可比较的基因分型结果。研究单核苷酸多态性(SNPs)和突变突出了MSA程序的独特特征。ClustalΩ和MAFFT显示相似的计数,而MUSCLE显示最高的SNP计数。高频SNP分析确定MAFFT是最准确的MSA程序,强调其可靠性。沙特和全球SARS-CoV-2人群的比较强调了区域遗传差异。沙特人表现出一贯较高的高频snp频率,归因于种群内的遗传相似性。传播动力学分析显示,沙特数据集中的共突变频率更高,表明共享的进化模式。这些发现强调了在遗传分析中考虑区域多样性的重要性。
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引用次数: 0
Modeling the Dynamic Effects of Human Mobility and Airborne Particulate Matter on the Spread of COVID-19 人类流动性和空气颗粒物对COVID-19传播的动态影响建模
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-30 DOI: 10.3390/computation11110211
Klot Patanarapeelert, Rossanan Chandumrong, Nichaphat Patanarapeelert
Identifying the relationship between human mobility, air pollution, and communicable disease poses a challenge for impact evaluation and public health planning. Specifically, Coronavirus disease 2019 (COVID-19) and air pollution from fine particulates (PM2.5), by which human mobility is mediated in a public health emergency. To describe the interplay between human mobility and PM2.5 during the spread of COVID-19, we proposed a nonlinear model of the time-dependent transmission rate as a function of these factors. A compartmental epidemic model, together with daily confirmed case data in Bangkok, Thailand during 2020–2021, was used to estimate the intrinsic parameters that can determine the impact on the transmission dynamic of the two earlier outbreaks. The results suggested a positive association between mobility and transmission, but this was strongly dependent on the context and the temporal characteristics of the data. For the ascending phase of an epidemic, the estimated coefficient of mobility variable in the second wave was greater than in the first wave, but the value of the mobility component in the transmission rate was smaller. Due to the influence of the baseline value and PM2.5, the estimated basic reproduction number of the second wave was higher than that of the first wave, even though mobility had a greater influence. For the descending phase, the value of the mobility component in the second wave was greater, due to the negative value of the estimated mobility coefficient. Despite this scaling effect, the results suggest a negative association between PM2.5 and the transmission rates. Although this conclusion agrees with some previous studies, the true effect of PM2.5 remains inconclusive and requires further investigation.
确定人类流动性、空气污染和传染病之间的关系对影响评估和公共卫生规划提出了挑战。特别是2019冠状病毒病(COVID-19)和细颗粒物(PM2.5)造成的空气污染,它们在突发公共卫生事件中调节了人类的流动性。为了描述COVID-19传播期间人类流动性与PM2.5之间的相互作用,我们提出了一个随时间变化的传播率的非线性模型,作为这些因素的函数。使用区隔流行病模型以及2020-2021年期间泰国曼谷每日确诊病例数据来估计可确定对早期两次疫情传播动态影响的内在参数。结果表明,流动性和传播之间存在正相关关系,但这在很大程度上取决于背景和数据的时间特征。在上升阶段,第二波的迁移率变量估计系数大于第一波,但在传播率中迁移率分量的估计值较小。由于基线值和PM2.5的影响,尽管流动性的影响更大,但第二次浪潮的估计基本再现数高于第一次浪潮。在下降阶段,由于估计的迁移系数为负值,第二波的迁移率分量值更大。尽管存在这种比例效应,但研究结果表明PM2.5与传播率之间存在负相关。虽然这一结论与之前的一些研究相一致,但PM2.5的真正影响仍然没有定论,需要进一步调查。
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引用次数: 0
Transformer-Based Model for Predicting Customers’ Next Purchase Day in e-Commerce 基于变压器的电子商务客户下一次购买日预测模型
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-29 DOI: 10.3390/computation11110210
Alexandru Grigoraș, Florin Leon
The paper focuses on predicting the next purchase day (NPD) for customers in e-commerce, a task with applications in marketing, inventory management, and customer retention. A novel transformer-based model for NPD prediction is introduced and compared to traditional methods such as ARIMA, XGBoost, and LSTM. Transformers offer advantages in capturing long-term dependencies within time series data through self-attention mechanisms. This adaptability to various time series patterns, including trends, seasonality, and irregularities, makes them a promising choice for NPD prediction. The transformer model demonstrates improvements in prediction accuracy compared to the baselines. Additionally, a clustered transformer model is proposed, which further enhances accuracy, emphasizing the potential of this architecture for NPD prediction.
本文的重点是预测电子商务客户的下一个购买日(NPD),这是一项在市场营销、库存管理和客户保留方面应用的任务。介绍了一种新的基于变压器的NPD预测模型,并与ARIMA、XGBoost和LSTM等传统方法进行了比较。transformer在通过自关注机制捕获时间序列数据中的长期依赖关系方面具有优势。这种对各种时间序列模式的适应性,包括趋势、季节性和不规则性,使其成为NPD预测的一个有希望的选择。与基线相比,变压器模型的预测精度有所提高。此外,提出了一种聚类变压器模型,该模型进一步提高了准确性,强调了该架构在NPD预测中的潜力。
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引用次数: 0
Exploring the Quotation Inertia in International Currency Markets 探讨国际货币市场的报价惯性
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-24 DOI: 10.3390/computation11110209
Alexander Musaev, Andrey Makshanov, Dmitry Grigoriev
The authors suggest a methodology that involves conducting a preliminary analysis of inertia in financial time series. Inertia here means the manifestation of some kind of long-term memory. Such effects may take place in complex processes of a stochastic kind. If the decision is negative, they do not recommend using predictive management strategies based on trend analysis. The study uses computational schemes to detect and confirm trends in financial market data. The effectiveness of these schemes is evaluated by analyzing the frequency of trend confirmation over different time intervals and with different levels of trend confirmation. Furthermore, the study highlights the limitations of using smoothed curves for trend analysis due to the lag in the dynamics of the curve, emphasizing the importance of considering real-time data in trend analysis for more accurate predictions.
作者提出了一种方法,包括对金融时间序列中的惯性进行初步分析。惯性在这里指的是某种长期记忆的表现。这种效应可能发生在随机的复杂过程中。如果决定是否定的,他们不建议使用基于趋势分析的预测管理策略。该研究使用计算方案来检测和确认金融市场数据的趋势。通过分析不同时间间隔和不同程度的趋势确认频率,评价了这些方案的有效性。此外,该研究强调了由于曲线动态滞后而使用平滑曲线进行趋势分析的局限性,强调了在趋势分析中考虑实时数据以获得更准确预测的重要性。
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引用次数: 0
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Computation
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