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Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development 新兴产业发展中基于风险扩散模型的投资组合优化策略
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0110
Shuangqin Ni, Shen Wang
In this paper, we first sort out the formula of the premium principle and the algorithm of the diffusion model and then study the strategy problem about optimal investment consumption and insurance purchase when investors invest in new developing industries under the risk diffusion model. In real financial markets, there are two types of uncertainty regarding asset prices: normal fluctuations and abnormal shocks. The risk diffusion model is used to plan the optimal investment strategy based on this basis. In the end, three tests are executed, including two numerical simulations and one investment analysis that determines the investor’s age. The computational results show that the optimal strategy in the first set of simulations is the 56% increase in investment volume A(x) at the parameter σ = 0.1. The standard deviation of the investor’s objective in the second set of simulations is 9.287%, and the investor’s assets invested in risky securities should be 1.071. In the third set of tests, as the investor’s age increases, the value of the investor’s investment in risky assets continues to decline from 2.0 after 30 years, and by the time it reaches 40 years, it is already close to 0.25, and there is a continued decline, converging to 0. Investors can invest in providing effective reference data by investing in the portfolio optimization strategy in this paper, which predicts stock market volatility and vibration.
本文首先梳理了溢价原理公式和扩散模型算法,然后研究了风险扩散模型下投资者投资新兴产业时的最优投资消费和保险购买策略问题。在现实金融市场中,资产价格存在两种不确定性:正常波动和异常冲击。在此基础上,利用风险扩散模型规划最优投资策略。最后,进行了三次测试,包括两次数值模拟和一次确定投资者年龄的投资分析。计算结果表明,第一组模拟中的最优策略是在参数 σ = 0.1 时投资额 A(x) 增加 56%。在第二组模拟中,投资者目标的标准差为 9.287%,投资者投资于风险证券的资产应为 1.071。在第三组测试中,随着投资者年龄的增加,投资者的风险资产投资值从 30 年后的 2.0 继续下降,到 40 年时,已经接近 0.25,而且还有继续下降的趋势,最后趋近于 0。投资者可以通过投资本文的投资组合优化策略,预测股市的波动和振动,提供有效的参考数据。
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引用次数: 0
Analysis of carrying capacity of higher education based on topological number theory in the context of ecological theory of education 教育生态理论背景下基于拓扑数论的高等教育承载能力分析
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0062
Huifang Dong, Dapeng Deng, Yusheng Liang
This paper focuses on analyzing the educational carrying capacity of colleges and universities by using topological number theory and the educational carrying capacity development index. The scale range of the educational carrying capacity of colleges and universities can be determined by identifying relevant definitions of topological space and some topological invariants. Using the relevant definitions of topological space to divide the college education-bearing intervals of different regions and combining the human development index and imbalance coefficient processing, we construct the formula of the balanced and sufficient development index of college education-bearing capacity, which is used to analyze the education bearing capacity of colleges and universities. Analyze different states of college education carrying capacity based on the college education carrying capacity bearing structure. Examine the educational carrying capacity of colleges and universities by examining their educational resource allocation with the help of human and financial resources. The results show that the teacher-student ratio of the urban function expansion area is 0.052, which is the smallest teacher-student ratio among all the districts, indicating that although the district is rich in teachers’ resources, the balanced and sufficient development index of the educational carrying capacity of colleges and universities in District A and District D is high, and the top two rankings have been maintained for a long period in the process of development, and the index of the balanced and sufficient development of education in District A will be 60 in 2021, which is in the area of the development of higher value of the educational carrying capacity.
本文主要利用拓扑数论和教育承载力发展指数分析高校的教育承载力。通过确定拓扑空间的相关定义和一些拓扑不变式,可以确定高校教育承载力的规模范围。利用拓扑空间的相关定义划分不同区域的高校教育承载区间,结合人的发展指数和不平衡系数处理,构建高校教育承载力均衡充分发展指数公式,用于分析高校的教育承载力。基于高校教育承载力承载结构,分析高校教育承载力的不同状态。借助人力和财力资源,通过考察高校的教育资源配置,考察高校的教育承载力。结果显示,城市功能拓展区师生比为 0.052,是各区中师生比最小的区,说明该区虽然教师资源丰富,但A区和D区高校教育承载力均衡充分发展指数较高,在发展过程中长期保持前两位,2021年A区教育均衡充分发展指数将达到60,处于教育承载力较高值发展区。
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引用次数: 0
The Impact of Foreign Trade on Carbon Productivity Based on VAR Model 基于 VAR 模型的对外贸易对碳生产率的影响
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0823
Xiujuan Zhao
Global carbon emissions and climate change are of increasing concern. As a critical indicator of the carbon efficiency of economic activities, carbon productivity has improved, resulting in a relative reduction in carbon emissions and output growth. As an essential part of the national economy, foreign trade profoundly impacts carbon productivity by promoting technology exchange, industrial upgrading, and structural adjustment. The carbon emission impact of foreign trade is not uniform, and there are noticeable differences between countries and regions. This paper examines how foreign trade affects carbon productivity and through which mechanisms, and further analyzes regional and industrial differences in these effects to provide a basis for the formulation of relevant policies. According to the study, there is a significant time lag effect on foreign trade’s impact on carbon productivity, and there are differences between industries and regions. Promoting foreign trade in this paper results in technological progress and improved carbon productivity, with an average improvement of 5.2%. By optimizing and adjusting industrial structure, carbon productivity is promoted better, with an increase of around 4.3%. High carbon emission industries have a relatively weak positive effect. Foreign trade positively impacts carbon productivity by promoting technological progress and industrial restructuring, but it is necessary to have differentiated policies for different industries and regions.
全球碳排放和气候变化日益受到关注。作为衡量经济活动碳效率的重要指标,碳生产率的提高使得碳排放量和产出增长相对减少。作为国民经济的重要组成部分,对外贸易通过促进技术交流、产业升级和结构调整,对碳生产率产生深远影响。对外贸易对碳排放的影响并不一致,不同国家和地区之间存在明显差异。本文探讨了对外贸易如何影响碳生产率以及通过何种机制产生影响,并进一步分析了这些影响的地区和产业差异,为制定相关政策提供依据。研究发现,对外贸易对碳生产率的影响存在明显的时滞效应,且不同产业和地区之间存在差异。本文通过促进对外贸易,实现技术进步,提高碳生产率,平均提高 5.2%。通过优化调整产业结构,碳生产率得到较好提升,提升幅度约为 4.3%。高碳排放产业的积极作用相对较弱。对外贸易通过促进技术进步和产业结构调整对碳生产率产生积极影响,但需要针对不同产业和地区制定差异化政策。
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引用次数: 0
Research on high-precision digital image correlation measurement techniques for highly stable structures 高稳定性结构的高精度数字图像相关测量技术研究
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0539
Fenglong Yang, Bing Pan
This study proposes a novel digital image processing system that combines a diffraction-limited resolution (DLRF)-based measurement technique with a windowed form-center tracking algorithm. To evaluate the accuracy of this system, this paper compares and analyzes the effectiveness of conventional digital image techniques and DLRF-based methods for deformation displacement measurements. In addition, the study includes thermal stability tests under ambient noise and uniform high temperature conditions to evaluate the stability performance of the system in a complex environment. The experimental results show that the DLRF-based digital image correlation method proposed in this study performs well in reducing the mean deviation (from a maximum of 5.17 × 10-3 to 1.73 × 10-3) and root-mean-square error (from a maximum of 5.14 × 10-3 to 0.75 × 10-3). It is worth noting that the DLRF method is faster in processing when using the single-precision format than the double-precision format, with a speedup of up to 1.05 times. In addition, the multiple displacement averaging processing method can effectively filter the noise in the test, and the noise effect is only in the range of 0 to 2 μm in most areas. In the analysis of test points 10-34 and 57-80, the displacement error is controlled within 5 μm, indicating that the modified structural analysis model can be used for on-orbit micrometer-scale thermal deformation analysis. The study proves the high accuracy and stability of the digital image system proposed in this paper in the measurement of deformation displacement, which provides adequate technical support for accurate measurement in related fields.
本研究提出了一种新型数字图像处理系统,该系统结合了基于衍射极限分辨率(DLRF)的测量技术和窗口形心跟踪算法。为了评估该系统的准确性,本文比较并分析了传统数字图像技术和基于 DLRF 的变形位移测量方法的有效性。此外,研究还包括环境噪声和均匀高温条件下的热稳定性测试,以评估系统在复杂环境中的稳定性能。实验结果表明,本研究提出的基于 DLRF 的数字图像相关方法在降低平均偏差(从最大值 5.17 × 10-3 降至 1.73 × 10-3)和均方根误差(从最大值 5.14 × 10-3 降至 0.75 × 10-3)方面表现良好。值得注意的是,DLRF 方法在使用单精度格式时比使用双精度格式时处理速度更快,最多可加快 1.05 倍。此外,多重位移平均处理方法可以有效过滤测试中的噪声,大部分区域的噪声影响仅在 0 至 2 μm 范围内。在对测试点 10-34 和 57-80 的分析中,位移误差控制在 5 μm 以内,表明改进后的结构分析模型可用于在轨微米尺度热变形分析。该研究证明了本文提出的数字图像系统在变形位移测量中的高精度和稳定性,为相关领域的精确测量提供了充分的技术支持。
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引用次数: 0
Digital Health Oriented Quality Grading and Evolutionary Study of International Trade Development 以数字健康为导向的质量分级与国际贸易发展演化研究
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0436
Kesheng Chen, Jianghao Chen
This article explores the impact of digital technological advances on international trade exchanges, notably regarding trade costs and barriers. The article first constructs a trade development measurement model for global trade costs and barriers, and analyzes in detail the development quality of international trade using a threshold effect model. In addition, a model for the development potential of international trade is constructed, and the evolution of its spatial pattern is investigated through global and local Moran indices. The empirical Analysis shows that the regression coefficients of economic level, trade potential and trade barriers are 0.228, 0.661 and −0.110, respectively. Analyzing from a macro perspective, the development quality of China’s international trade shows an upward trend between 2012 and 2022, with an overall improvement of about 38 percentage points. This result indicates that improving economic level and trade potential helps to promote the improvement of the development quality of international trade. In contrast, trade barriers may have an inhibiting effect on the development of international trade. By scientifically calculating the quality of international trade development and data visualization of its development process, the article provides effective ways and methods for the Analysis and research of international trade development.
本文探讨了数字技术进步对国际贸易交流的影响,尤其是对贸易成本和贸易壁垒的影响。文章首先构建了全球贸易成本和壁垒的贸易发展计量模型,并利用门槛效应模型详细分析了国际贸易的发展质量。此外,还构建了国际贸易发展潜力模型,并通过全球和地方莫兰指数研究了国际贸易空间格局的演变。实证分析表明,经济水平、贸易潜力和贸易壁垒的回归系数分别为 0.228、0.661 和-0.110。从宏观角度分析,2012 年至 2022 年,中国国际贸易发展质量呈上升趋势,总体提升了约 38 个百分点。这一结果表明,经济水平和贸易潜力的提升有助于促进国际贸易发展质量的提高。相反,贸易壁垒则可能对国际贸易发展产生抑制作用。文章通过对国际贸易发展质量的科学计算及其发展过程的数据可视化,为国际贸易发展分析与研究提供了有效的途径和方法。
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引用次数: 0
Exploring the Reform of College English Teaching from the Perspective of New Liberal Arts 新文科视角下的大学英语教学改革探索
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0063
Jinyang Qiu
The construction of new liberal arts requires college English teaching to introduce new concepts, utilize new technologies, and promote students’ effective learning through the intersection of disciplines and curricula, to cultivate integrative talents with innovative and practical abilities. Under the perspective of new liberal arts, this paper integrates deep commonality and uniqueness knowledge mining multimodal clustering, DCUMC algorithmic model and multimodal teaching means to construct a multimodal analysis model framework and reform the English teaching model in colleges and universities. In addition, the information entropy is used to improve the ID3 algorithm to construct multidimensional evaluation indexes for college English teaching, and the improved ID3 algorithm is used for data mining of multidimensional evaluation so that teachers can adjust the teaching progress and difficulty according to real-time and accurate feedback information. Experiments are conducted on multimodal teaching mode and teaching evaluation, and the experimental results show that compared with the traditional teaching mode, the average scores of multimodal English teaching mode after five months are 96 and 85, which is an improvement of 11 points, 69.58%, 67.93%, 56.25%, and 53.79% higher in the ratio of excellent and good evaluations, respectively. Compared to the single teaching evaluation, the multidimensional evaluation points out that the traditional teaching mode needs more designer-student interaction as well as a reduction in the difficulty of the teaching content. In conclusion, the multimodal English teaching model can effectively improve teaching effectiveness and is implementable.
新文科建设要求大学英语教学引入新理念、运用新技术,通过学科与课程的交叉促进学生有效学习,培养具有创新精神和实践能力的综合型人才。在新文科视角下,本文整合深层共性与独特性知识挖掘多模态聚类、DCUMC算法模型和多模态教学手段,构建多模态分析模型框架,改革高校英语教学模式。此外,利用信息熵改进ID3算法,构建大学英语教学的多维评价指标,并将改进后的ID3算法用于多维评价的数据挖掘,以便教师根据实时准确的反馈信息调整教学进度和难度。对多模态教学模式和教学评价进行了实验,实验结果表明,与传统教学模式相比,多模态英语教学模式5个月后的平均得分分别为96分和85分,提高了11分,优秀和良好评价比例分别提高了69.58%、67.93%、56.25%和53.79%。与单一教学评价相比,多维评价指出,传统教学模式需要更多设计者与学生的互动,以及降低教学内容的难度。总之,多模态英语教学模式能有效提高教学效果,具有可实施性。
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引用次数: 0
Research on Modeling Analysis and Risk Early Warning of Regional Financial Stability Based on VAR Model--Taking Henan Province of China as an Example 基于 VAR 模型的区域金融稳定模型分析与风险预警研究--以中国河南省为例
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0423
Jie Liu, Hongjing Jiang, Xiying Zheng
This paper synthesizes the influencing factors of financial stability in Henan Province, selects indicators from both internal and external aspects, and determines the index system of economic stability in Henan Province. On this basis, the entropy method is utilized to attach weights to each indicator, and the impulse response and Granger causality test in the VAR model is used to detect the financial stability of Henan Province. In addition, considering that financial risk early warning is critical to the economic security of the country and Henan Province, the principal component analysis method is further used to screen the risk warning indicators, construct a VAR model for financial risk early warning in Henan Province, and analyze the financial risk based on the comprehensive risk warning score. The results show that the risk status of banking financial institutions (16.3252) is relatively poor, while the complete risk status of financial guarantee institutions (42.62864) is at the warning level, and the VAR model accurately reveals the financial stability and risk status of Henan Province. This study provides theoretical knowledge for the modeling analysis of financial stability and risk early warning research in Henan Province, which is of great practical significance for improving the effect of local financial supervision in Henan Province and maintaining the stable operation of finance in Henan Province.
本文综合河南省金融稳定的影响因素,从内部和外部两个方面选取指标,确定了河南省经济稳定的指标体系。在此基础上,利用熵值法对各指标赋予权重,并利用 VAR 模型中的脉冲响应和格兰杰因果检验对河南省金融稳定性进行检测。此外,考虑到金融风险预警对国家和河南省的经济安全至关重要,进一步采用主成分分析法筛选风险预警指标,构建河南省金融风险预警 VAR 模型,并根据风险预警综合得分对金融风险进行分析。结果表明,银行业金融机构的风险状况(16.3252)相对较差,而融资性担保机构的综合风险状况(42.62864)处于警戒水平,VAR 模型准确揭示了河南省金融稳定和风险状况。本研究为河南省金融稳定与风险预警研究的建模分析提供了理论知识,对提高河南省地方金融监管效果、维护河南省金融稳定运行具有重要的现实意义。
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引用次数: 0
Research on Multiple Optimization of Engineering Management Models under the Concept of Environmental Protection 环境保护理念下工程管理模式的多重优化研究
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0579
Junhong Lin
With the continuous development of social economy, engineering management technology is becoming increasingly mature, and multi-objective optimization technology is widely used in engineering management. Based on the traditional schedule, cost and quality model, the article introduces the environmental factor as the fourth optimization objective and constructs a comprehensive four-objective optimization model. The model starts from the concept of environmental protection, and proposes the modeling method of ecological indicators for deterministic and non-deterministic conditions. The article utilizes the multi-objective comprehensive optimization model to conduct an in-depth analysis of the engineering management condition of S project. After the engineering management optimization implementation, the optimization scheme showed that the planned duration was shortened to 324 days, which saved 12.9% of the construction time compared to the initial scheme and 1.81 million RMB in cost. In addition, the project achieved an average value of 0.9167 for quality reliability and a reduction in environmental impact to 296.48, which met the expected criteria in the S-engineering contract. The research in this paper not only provides a new type of multi-objective optimization method integrating the concept of environmental protection for project management, but also proves the effectiveness and practicability of this method in actual projects through example analysis.
随着社会经济的不断发展,工程管理技术日趋成熟,多目标优化技术在工程管理中得到广泛应用。文章在传统的进度、成本和质量模型的基础上,引入环境因素作为第四个优化目标,构建了一个综合性的四目标优化模型。该模型从环境保护的概念出发,提出了确定性和非确定性条件下的生态指标建模方法。文章利用多目标综合优化模型对 S 项目的工程管理状况进行了深入分析。工程管理优化实施后,优化方案显示,计划工期缩短至 324 天,比初始方案节约工期 12.9%,节约成本 181 万元。此外,该项目质量可靠性平均值达到 0.9167,环境影响降低到 296.48,达到了 S 型工程合同的预期标准。本文的研究不仅为项目管理提供了一种融合环保理念的新型多目标优化方法,而且通过实例分析证明了该方法在实际项目中的有效性和实用性。
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引用次数: 0
Research on the development of college students’ sports program based on multi-objective optimization algorithm 基于多目标优化算法的大学生体育项目开发研究
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0021
Shuai Song
In recent years, the physical fitness of college students has been declining year by year, which has become the focus of national concern. In this paper, firstly, the human body motion tracking based on a multi-objective optimization algorithm is applied in the auxiliary training of college students’ sports to provide data support for the formulation of sports plans, and the Chebyshev function evolution calculation is used to obtain the Pareto optimal solution for sports training. Secondly, the similarity function between the two-dimensional projection of the skeleton and the silhouette of the image is established in the constructed human body model so as to calculate the multi-objective optimization function. The optimized training plan was specifically analyzed after analyzing the sports assessment of college students in X school. The results show that compared with the conventional training plan, the optimized training plan has more sports load intensity indexes distributed between 1.5 and 2.0, indicating that the plan is more scientific and effective. The research presented in this paper can be a valuable resource for the creation of sports programs for college students.
近年来,大学生体质逐年下降,已成为国家关注的焦点。本文首先将基于多目标优化算法的人体运动跟踪应用于大学生体育辅助训练中,为体育计划的制定提供数据支持,并利用切比雪夫函数演化计算得到体育训练的帕累托最优解。其次,在构建的人体模型中建立骨架二维投影与图像轮廓的相似函数,从而计算多目标优化函数。在分析了 X 学校大学生的体育考核情况后,对优化后的训练计划进行了具体分析。结果表明,与传统训练计划相比,优化后的训练计划的运动负荷强度指标更多分布在 1.5 至 2.0 之间,说明该计划更加科学有效。本文的研究成果对大学生体育项目的制定具有重要的参考价值。
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引用次数: 0
Construction of Knowledge Mapping of College Students’ Civic and Political Informatization Education in Colleges and Universities 高校大学生思政信息化教育知识图谱的构建
IF 3.1 Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.2478/amns-2024-0185
Yu Zheng
This paper combines the knowledge related to the Knowledge Graph to store and manage the ideological knowledge in the schema layer in the form of an ontology repository. The Bootstrapping-based extraction method has been improved for entity relationship extraction at the data layer, and semantically constrained relationships have been added to reduce the problem of extraction bias. Civics education’s characteristic attributes are identified through attribute extraction using crowdsourcing. For the entity alignment problem in entity extraction, the relationship triad and attribute triad are jointly used for entity vector characterization, and the entity alignment model based on BERT and TransE is proposed. Finally, in the process of testing knowledge mapping, more than 70% of college students were satisfied, and the percentage of college students agreeing and strongly agreeing in the dimensions of knowledge construction were 68.81%, 77.92%, and 75.63%, respectively. In the six dimensions of positive psychological quality of college students who have used knowledge mapping, there is a significant increase in the data of the courage dimension from 3.4 to 4.14, and the other dimensions have also increased. The performance of the knowledge graph constructed in this paper for civic information education is outstanding.
本文结合知识图谱的相关知识,在模式层以本体库的形式存储和管理意识形态知识。改进了基于 Bootstrapping 的提取方法,用于数据层的实体关系提取,并增加了语义约束关系,以减少提取偏差问题。通过众包的属性提取,确定了思政教育的特征属性。针对实体提取中的实体配准问题,联合使用关系三元组和属性三元组进行实体向量表征,提出了基于BERT和TransE的实体配准模型。最后,在知识图谱的测试过程中,70%以上的大学生表示满意,在知识建构的维度上,大学生同意和非常同意的比例分别为68.81%、77.92%和75.63%。在使用过知识图谱的大学生积极心理品质的六个维度中,勇气维度的数据从3.4显著上升到4.14,其他维度的数据也有所上升。本文构建的知识图谱在公民信息教育中的表现十分突出。
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引用次数: 0
期刊
Applied Mathematics and Nonlinear Sciences
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