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Time Series Components Separation Based on Singular Spectral Analysis Visualization: an HJ-biplot Method Application 基于奇异谱分析可视化的时间序列分量分离:hj双标图方法的应用
Pub Date : 2020-05-18 DOI: 10.19139/soic-2310-5070-897
Alberto Oliveira da Silva, A. Freitas
The extraction of essential features of any real-valued time series is crucial for exploring, modeling and producing, for example, forecasts. Taking advantage of the representation of a time series data by its trajectory matrix of Hankel constructed using Singular Spectrum Analysis, as well as of its decomposition through Principal Component Analysis via Partial Least Squares, we implement a graphical display employing the biplot methodology. A diversity of types of biplots can be constructed depending on the two matrices considered in the factorization of the trajectory matrix. In this work, we discuss the called HJ-biplot which yields a simultaneous representation of both rows and columns of the matrix with maximum quality. Interpretation of this type of biplot on Hankel related trajectory matrices is discussed from a real-world data set.
提取任何实值时间序列的基本特征对于探索、建模和生成(例如)预测至关重要。利用奇异谱分析构建的Hankel轨迹矩阵对时间序列数据的表示,以及偏最小二乘主成分分析对时间序列的分解,我们采用双图方法实现了图形显示。根据轨迹矩阵因子分解中考虑的两个矩阵,可以构造多种类型的双拍片。在这项工作中,我们讨论了称为HJ biplot的矩阵,它以最大质量同时表示矩阵的行和列。从真实世界的数据集讨论了Hankel相关轨迹矩阵上这种类型的双拍片的解释。
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引用次数: 4
An Euler-Lagrange Equation only Depending on Derivatives of Caputo for Fractional Variational Problems with Classical Derivatives 一个仅依赖于Caputo导数的欧拉-拉格朗日方程解经典导数的分数阶变分问题
Pub Date : 2020-05-18 DOI: 10.19139/soic-2310-5070-865
Melani Barrios, G. Reyero
In this paper we present advances in fractional variational problems with a Lagrangian depending on Caputo fractional and classical derivatives. New formulations of the fractional Euler-Lagrange equation are shown for the basic and isoperimetric problems, one in an integral form, and the other that depends only on the Caputo derivatives. The advantage is that Caputo derivatives are more appropriate for modeling problems than the Riemann-Liouville derivatives and makes the calculations easier to solve because, in some cases, its behavior is similar to the behavior of classical derivatives. Finally, a new exact solution for a particular variational problem is obtained.
在这篇文章中,我们提出了具有拉格朗日量的分数变分问题的进展,该问题依赖于Caputo分数导数和经典导数。对于基本问题和等周问题,给出了分数阶欧拉-拉格朗日方程的新公式,一个是积分形式,另一个仅依赖于Caputo导数。其优点是Caputo导数比Riemann-Liouville导数更适合建模问题,并且使计算更容易解决,因为在某些情况下,它的行为与经典导数的行为相似。最后,得到了一个特殊变分问题的新的精确解。
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引用次数: 7
Assessing the effect of fungicide treatment on Cocoa black pod disease in Ghana: Insight from mathematical modeling 评估杀菌剂处理对加纳可可黑荚病的影响:来自数学模型的见解
Pub Date : 2020-05-18 DOI: 10.19139/soic-2310-5070-686
B. Oduro, O. Apenteng, H. Nkansah
Black pod disease is caused by fungi of the species Phytophthora palmivora or Phytophthora megakarya. The disease causes darkening of affected areas of cocoa trees and/or fruits and leads to significant reduction in crop yields and decreases lifespan of the plant. This study presents a simple S_1S_2IT-type model with variable population size to assess the impact of fungicide treatment on the dynamics of the black pod disease. We do both theoretical studies and numerical simulations of the model. In particular, we analyze the existence of equilibrium points and their stability, simulate the model using data on reported black pod cases from Ghana. In addition, we perform sensitivity analysis of the basic reproduction number with respect to the model parameters. The results show that the top three parameters that govern the dynamics of the black pod disease are the treatment rate, transmission rate, and planting rate of new trees
黑豆荚病是由棕榈疫霉(Phytophthora palmivora)或巨型疫霉(Phytophthora megakarya)真菌引起的。该疾病导致可可树和/或果实受影响区域变黑,导致作物产量显著下降,植物寿命缩短。本研究建立了变种群大小的简单s_1s_2it型模型,以评估杀菌剂处理对黑荚病动态的影响。我们对该模型进行了理论研究和数值模拟。特别地,我们分析了平衡点的存在性及其稳定性,并利用加纳报告的黑荚病例数据对模型进行了模拟。此外,我们进行了基本再现数相对于模型参数的敏感性分析。结果表明,控制黑荚病动态的前3个参数是处理率、传播率和新树种植率
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引用次数: 6
Wei-Yao-Liu Conjugate Gradient Algorithm for Nonsmooth Convex Optimization Problems 非光滑凸优化问题的共轭梯度算法
Pub Date : 2020-05-18 DOI: 10.19139/soic-2310-5070-908
Yaping Hu, Liying Liu, Yujie Wang
This paper presents a Wei-Yao-Liu conjugate gradient algorithm for nonsmooth convex optimization problem. The proposed algorithm makes use of approximate function and gradient values of the Moreau-Yosida regularization function instead of the corresponding exact values. Under suitable conditions, the global convergence property could be established for the proposed conjugate gradient method. Finally, some numerical results are reported to show the efficiency of our algorithm.
针对非光滑凸优化问题,本文提出了一种Wei姚刘共轭梯度算法。该算法利用了MoreauYosida正则化函数的近似函数和梯度值,而不是相应的精确值。在适当的条件下,可以建立所提出的共轭梯度方法的全局收敛性。最后,给出了一些数值结果,验证了算法的有效性。
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引用次数: 1
Iterative Algorithms for a Generalized System of Mixed Variational-Like Inclusion Problems and Altering Points Problem 一类混合类变分包含问题和改变点问题的迭代算法
Pub Date : 2020-02-27 DOI: 10.19139/soic-2310-5070-884
M. Alansari, M. Akram, M. Dilshad
In this article, we introduce and study a generalized system of mixed variational-like inclusion problems involving αβ-symmetric η-monotone mappings. We use the resolvent operator technique to calculate the approximate common solution of the generalized system of variational-like inclusion problems involving αβ-symmetric η-monotone mappings and a fixed point problem for nonlinear Lipchitz mappings. We study strong convergence analysis of the sequences generated by proposed Mann type iterative algorithms. Moreover, we consider an altering points problem associated with a generalized system of variational-like inclusion problems. To calculate the approximate solution of our system, we proposed a parallel S-iterative algorithm and study the convergence analysis of the sequences generated by proposed parallel S-iterative algorithms by using the technique of altering points problem. The results presented in this paper may be viewed as generalizations and refinements of the results existing in the literature.
本文引入并研究了一类含有αβ-对称η-单调映射的混合类变分包含问题的广义系统。利用解算算子技术计算了一类类变分包含问题的广义系统的近似公解,该系统涉及αβ-对称η-单调映射和一类非线性Lipchitz映射不动点问题。研究了Mann型迭代算法生成序列的强收敛性分析。此外,我们还考虑了一类广义类变分包含问题系统的改变点问题。为了计算系统的近似解,我们提出了一种并行s -迭代算法,并利用变点问题技术研究了并行s -迭代算法生成的序列的收敛性分析。本文提出的结果可以看作是文献中已有结果的概括和改进。
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引用次数: 3
Dual Generalized Order Statistics from Gompertz-Verhulst Distribution and Characterization Gompertz-Verhulst分布的对偶广义序统计量及其表征
Pub Date : 2020-02-27 DOI: 10.19139/soic-2310-5070-652
I. Khan
The dual generalized order statistics is a unified scheme which contains the well known decreasingly ordered random variables such as (reversed) order statistics, lower record values and lower Pfeifer record values. In this article, characterization results on Gompertz-Verhulst distribution through the conditional expectation of dual generalized order statistics based on non-adjacent dual generalized order statistics are given. These relations are deduced for moments of reversed order statistics, order statistics and lower record values. Further a characterization result through the truncated moment is also derived.
对偶广义序统计量是一种包含(反)序统计量、低记录值和低Pfeifer记录值等渐序随机变量的统一方案。本文给出了基于非相邻对偶广义阶统计量的对偶广义阶统计量的条件期望对Gompertz-Verhulst分布的表征结果。这些关系推导了反序统计量、序统计量和较低记录值的矩。此外,还推导了通过截断力矩的表征结果。
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引用次数: 1
Applying Multivariate and Univariate Analysis of Variance on Socioeconomic, Health, and Security Variables in Jordan 约旦社会经济、健康和安全变量的多变量和单变量方差分析
Pub Date : 2020-02-26 DOI: 10.19139/soic-2310-5070-506
Faisal G. Khamis, G. A. El-Refae
Many researchers have studied socioeconomic, health, and security variables in developed countries; however, very few studies used multivariate analysis in developing countries. The current study contributes to the scarce literature about the determinants of the variance in socioeconomic, health, and security factors. Questions raised were whether the independent variables (IVs) of governorate and year impact the socioeconomic, health, and security dependent variables (DVs) in Jordan? Whether the marginal mean of each DV in each governorate and each year is significant? Which governorates are similar in the difference between means of each DV? Whether these DVs vary? The main objectives were to determine the source of variances in DVs, collectively and separately, testing which governorates are similar and which diverge for each DV. The research design was a time-series and cross-sectional analysis. The main hypotheses are that IVs affect DVs collectively and separately. Multivariate and univariate analyses of variance were carried out to test these hypotheses. The population of 12 governorates in Jordan and the available data of 15 years (2000-2015) accrued from several Jordanian statistical yearbooks. We investigated the effect of two factors of governorate and year on the four DVs of divorce, mortality, unemployment, and crime. Also, descriptive statistics were calculated for each DV in each governorate and each year. However, we performed a visual and numerical inspection of how each DV changed over time in each governorate compared with DV change in other governorates. The rate of divorce, mortality, and crime, and the percentage of unemployment were used in the analyses. All DVs were transformed into a multivariate normal distribution. Based on the multivariate analysis of variance, we found a significant effect in IVs on DVs with p < 0.001. Based on the univariate analysis, we found a significant effect of IVs on each DV with p < 0.001. Except for the effect of the year factor on unemployment was not significant with p = 0.642. Besides, the grand and marginal means of each DV in each governorate and each year were significant based on a 95% confidence interval. Furthermore, most governorates are not similar in DVs with p < 0.001. We concluded that the two factors produce significant effects on DVs, collectively and separately. Based on these findings, the government can distribute its financial and physical resources to governorates more efficiently. By identifying the sources of variance that contribute to the variation in DVs, insights can help inform focused variation prevention efforts.
许多研究人员研究了发达国家的社会经济、健康和安全变量;然而,很少有研究在发展中国家使用多变量分析。目前的研究有助于弥补关于社会经济、健康和安全因素差异决定因素的稀缺文献。提出的问题是,在约旦,省和年份的自变量是否会影响社会经济、健康和安全的因变量?每个省和每年的每个家庭需氧量的边际平均值是否显著?哪些省份在每个DV的平均值之间的差异是相似的?这些dv是否不同?主要目标是确定总体和单独的DV差异的来源,测试每个DV哪些省份相似,哪些省份不同。研究设计为时间序列和横断面分析。主要的假设是IVs共同和单独地影响DVs。我们进行了多变量和单变量方差分析来检验这些假设。约旦12个省的人口和15年(2000-2015年)的现有数据来自若干约旦统计年鉴。我们调查了省份和年份两个因素对离婚、死亡率、失业率和犯罪率四个DVs的影响。此外,还对每个省和每年的每个家庭暴力进行了描述性统计。然而,我们进行了视觉和数字检查,将每个省份的每个家庭需水量随时间的变化与其他省份的家庭需水量变化进行了比较。离婚率、死亡率、犯罪率和失业率都被用于分析。所有dv均转化为多元正态分布。基于多变量方差分析,我们发现IVs对DVs有显著影响,p < 0.001。基于单变量分析,我们发现IVs对每个DV有显著影响,p < 0.001。除年份因素对失业率的影响不显著(p = 0.642)外。此外,各省和各年份的每个DV的大均值和边际均值在95%的置信区间上显著。此外,大多数省份的dv不相似,p < 0.001。我们得出结论,这两个因素共同或单独对dv产生显著影响。基于这些发现,政府可以更有效地向各省分配财政和物质资源。通过识别导致dv变异的变异来源,洞察力可以帮助告知集中的变异预防工作。
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引用次数: 1
Extended Search Planning for Multiple Moving Targets Incorporating Search Priorities 包含搜索优先级的多个运动目标的扩展搜索规划
Pub Date : 2020-02-22 DOI: 10.19139/soic-2310-5070-817
Min-Hyuk Kim, Suhwan Kim, Bongkyu Han
This article deals with a one-searcher multi-target search problem where targets with different detection priorities move in Markov processes in each discrete time interval over a given space search area, and the total number of search time intervals is fixed. A limited search resource is available in each search time interval and an exponential detection function is assumed. The searcher can obtain a target detection reward, if the target is detected, which represents the detection priority of target and does not increase with respect to time. The objective is to establish the optimal search plan that allocates the search resource effort over the search areas in each time interval in order to maximize the total detection reward. The analysis shows that the given problem can be decomposed into interval-wise individual search problems, each being treated as a single stationary target problem for each time interval. Thus, an iterative procedure is derived to solve a sequence of stationary target problems. The computational results show that the proposed algorithm guarantees optimality.
本文研究了一个单搜索器多目标搜索问题,在给定的空间搜索区域中,具有不同检测优先级的目标在每个离散时间间隔内以马尔可夫过程的方式移动,并且搜索时间间隔的总数是固定的。在每个搜索时间间隔内,可用的搜索资源是有限的,并且假设一个指数检测函数。如果目标被检测到,搜索者可以获得目标检测奖励,该奖励表示目标的检测优先级,且不随时间增加。目标是建立最优的搜索计划,在每个时间间隔内将搜索资源的努力分配到搜索区域上,以使总检测奖励最大化。分析表明,给定的问题可以分解为区间独立搜索问题,每个问题在每个时间区间被视为单个平稳目标问题。因此,导出了求解一系列平稳目标问题的迭代过程。计算结果表明,该算法保证了最优性。
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引用次数: 0
Improper Multivariate Receiver Operating Characteristic (iMROC) Curve 不正确的多变量接收者工作特征(iMROC)曲线
Pub Date : 2020-02-20 DOI: 10.19139/soic-2310-5070-555
S. Balaswamy, R. V. Vardhan, G. Sameera
In a multivariate setup, the classification techniques have its significance in identifying the exact status of the individual/observer along with accuracy of the test. One such classification technique is the Multivariate Receiver Operating Characteristic (MROC) Curve. This technique is well known to explain the extent of correct classification with the curve above the random classifier (guessing line) when it satisfies all of its properties especially the property of increasing likelihood ratio function. However, there are circumstances where the curve violates the above property. Such a curve is termed as improper curve. This paper demonstrates the methodology of improperness of the MROC Curve and ways of measuring it. The methodology is explained using real data sets.
在多变量设置中,分类技术在识别个体/观察者的确切状态以及测试的准确性方面具有重要意义。其中一种分类技术是多元接收者工作特征曲线(Multivariate Receiver Operating Characteristic, MROC)。当随机分类器(猜测线)上的曲线满足其所有性质,特别是增加似然比函数的性质时,该技术以解释正确分类的程度而闻名。然而,在某些情况下,曲线违反了上述性质。这样的曲线称为反常曲线。本文论述了MROC曲线不合理的方法学及测量方法。使用实际数据集解释了该方法。
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引用次数: 0
Modelling of Liquid Flow control system Using Optimized Genetic Algorithm 基于优化遗传算法的液体流量控制系统建模
Pub Date : 2020-02-20 DOI: 10.19139/soic-2310-5070-618
P. Dutta, Asok Kumar
Estimation of a highly accurate model for liquid flow process industry and control of the liquid flow rate from experimental data is an important task for engineers due to its non linear characteristics. Efficient optimization techniques are essential to accomplish this task.In most of the process control industry flow rate depends upon a multiple number of parameters like sensor output,pipe diameter, liquid conductivity ,liquid viscosity ,liquid density etc. In traditional optimization technique its very time consuming for manually control the parameters to obtain the optimal flow rate from the process. Hence the alternative approach , computational optimization process is utilized by using the different computational intelligence technique.In this paper three different selection of Genetic Algorithm is proposed to taste against the present liquid flow process. The proposed algorithm is developed based on the mimic genetic evolution of species that allow the consecutive generations in population to adopt their environment. Equations for Response Surface Methodology (RSM) and Analysis of Variance (ANOVA) are being used as non-linear models and these models are optimized using the proposed different selection of Genetic optimization techniques. It can be observed that the among these three different selection of Genetic Algorithm ,Rank selected GA is better than the other two selection (Tournament ,Roulette wheel) in terms of the accuracy of final solutions, success rate, convergence speed, and stability.
由于其非线性特性,从实验数据中估计液体流动过程工业的高精度模型和控制液体流速对工程师来说是一项重要任务。高效的优化技术对于完成这项任务至关重要。在大多数过程控制工业中,流速取决于多个参数,如传感器输出、管径、液体电导率、液体粘度、液体密度等。在传统的优化技术中,手动控制参数以从过程中获得最佳流速非常耗时。因此,另一种方法是使用不同的计算智能技术来利用计算优化过程。针对目前的液体流动过程,本文提出了三种不同选择的遗传算法。所提出的算法是基于物种的模拟遗传进化开发的,允许种群中的连续几代适应它们的环境。响应面方法方程(RSM)和方差分析(ANOVA)被用作非线性模型,并且这些模型使用所提出的不同的遗传优化技术进行优化。可以观察到,在这三种不同的遗传算法选择中,秩选择遗传算法在最终解的准确性、成功率、收敛速度和稳定性方面优于其他两种选择(锦标赛、轮盘)。
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引用次数: 11
期刊
Statistics, optimization & information computing
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