Research on the Applications of Probability Model and Matrix Transformation in Data Analysis and Management under the Environment of Information Time

In this paper, we research the probability theory and matrix transformation based technique to manage the data for processing and analysis. Clustering analysis research has a long history, over the decades, the importance and the cross characteristics with other research direction to get the affirmation of the people. The probability theory and linear algebra act as the powerful tool for analyzing and mining data. The experimental result illustrates the effectiveness. In the near future, we plan to conduct more theoretical analysis on the topic.

Tool life modeling for evaluating the effects of cutting speed and reinforcements on the machining of particle reinforced metal matrix composites

The wear of cutting tools in the machining of 2024Al alloy composites reinforced with Al2O3 particles using varying sizes and volume fractions of particles up to 23.3vol% was investigated by a turning process using coated carbide tools K10 and TP30 at different cut- ting speeds. Machining tests were performed with a plan of experiments based on the Taguchi method. The tool life model was developed in terms of cutting speed, size, and volume fraction of particles by multiple linear regressions. The analysis of variance （ANOVA） was also employed to carry out the effects of these parameters on the cutting tool life. The test results show that the tool life decreases with the increase of cutting speed for both cutting tools K10 and TP30, and the tool life of the K10 tool is significantly longer than that of the TP30 tool. For the tool life, cutting speed is found to be the most effective factor followed by particle content and particle size, respectively. The predicted tool life of cutting tools is found to be in very good agreement with the experimentally observed ones.

Principal Features of Building Social Accounts Matrix and Improving Statistical Database for Eco-countries

With common borders of the population, total area, and GDP （PPP-based） of Economic Cooperation Organization （ECO） member states are estimated as 416 million persons, 7.9 million m2, and US$2.7 trillion respectively （2010 data）. Although heterogeneous in the extent, there is economic development, overall, with serious energy and transport-transit relations among countries that is reflected in growing trade turnover year-by-year. However, there are still rather unused resources and capacity in such areas of cooperation among countries as exchange of energy, transport services, agricultural and industrial goods, use of opportunities for tourism, promoting investment and innovation processes and other areas. Certainly, maximum and optimal use of these resources calls for availability of analytical means capable of accounting for relations both within member states and among them. The implementation of computable general equilibrium （CGE） modeling in each member state would thus be of great significance in resolution of these problems both in terms of accounting for input-output linkages within the countries as well as enabling impact of main trading partners and goods and services among countries. The analysis carried out indicates that there are a number of problems in application of CGE model in most of the member states. As such, input-output tables are not compiled in some countries, while in others despite the fact that these tables are compiled, there are no attempts to build the model, yet in other countries, even if the CGE model is implemented, there are difficulties in taking into account the real results in the face of serious problems related to improving national accounts system database. Summarizing these problems, it is possible to conclude that to ensure the application of a CGE model,there is a great need to work out procedures of compilation of a social accounts matrix （SAM） that lies on the basis of this model, for which the relevant statistics of a member state must be improved. Considering the above-mentioned, the presented research, makes procedures and proposals on compilation of SAM, improves statistical data for researching the extent of application of CGE Model in ECO member states, and identifies the degree of availability and organization of relevant data to develop input-output tables and respective SAM.

Systematic Elastostatic Stiffness Model of Over-Constrained Parallel Manipulators Without Additional Constraint Equations

The establishment of an elastostatic stiffness model for over constrained parallel manipulators(PMs),particularly those with over constrained subclosed loops,poses a challenge while ensuring numerical stability.This study addresses this issue by proposing a systematic elastostatic stiffness model based on matrix structural analysis(MSA)and independent displacement coordinates(IDCs)extraction techniques.To begin,the closed-loop PM is transformed into an open-loop PM by eliminating constraints.A subassembly element is then introduced,which considers the flexibility of both rods and joints.This approach helps circumvent the numerical instability typically encountered with traditional constraint equations.The IDCs and analytical constraint equations of nodes constrained by various joints are summarized in the appendix,utilizing multipoint constraint theory and singularity analysis,all unified within a single coordinate frame.Subsequently,the open-loop mechanism is efficiently closed by referencing the constraint equations presented in the appendix,alongside its elastostatic model.The proposed method proves to be both modeling and computationally efficient due to the comprehensive summary of the constraint equations in the Appendix,eliminating the need for additional equations.An example utilizing an over constrained subclosed loops demonstrate the application of the proposed method.In conclusion,the model proposed in this study enriches the theory of elastostatic stiffness modeling of PMs and provides an effective solution for stiffness modeling challenges they present.

Modeling mechanism and extension of GM (1,1)

Firstly, the research progress of grey model GM （1,1） is summarized, which is divided into three development stages： assimilation, alienation and melting stages. Then, the matrix analysis theory is used to study the modeling mechanism of GM （1,1）, which decomposes the modeling data matrix into raw data transformation matrix, accumulated generating operation matrix and background value selection matrix. The changes of these three matrices are the essential reasons affecting the modeling and the accuracy of GM （1,1）. Finally, the paper proposes a generalization grey model GGM （1,1）, which is a extended form of GM （1,1） and also a unified form of model GM （1,1）, model GM （1,1,α）, stage grey model, hopping grey model, generalized accumulated model, strengthening operator model, weakening operator model and unequal interval model. And the theory and practical significance of the extended model is analyzed.

Forecasting investment and consumption behavior of economic agents through dynamic computable general equilibrium model

Much research has been devoted to examination of the financial easing policy of the European Central Bank(ECB).However,this study is one of the first to use a dynamic micro-founded model to investigate empirically the impact of the ECB’s Quantitative Easing(QE)policy on consumption and investment by economic agents in Italy(households,government,firms,and the rest of the world).For this purpose,we constructed a Financial Social Accounting Matrix(FSAM)for the Italian economy for the year 2009 to calibrate a dynamic computable general equilibrium model(DCGE).This model allowed us to evaluate the direct and indirect impact of money flow on the behavior of consumption and investment.The findings of the study confirmed the positive impact of the ECB’s monetary policy on the level of investment and consumption.

Stability analysis and controller design of T-S fuzzy systems with time-delay under imperfect premise matching

The issue of the stability and controller design of Takagi-Sugeno（T-S） fuzzy control systems with time-delay is investigated under imperfect premise matching when the T-S fuzzy time-delay model and fuzzy controller do not share the same membership functions.A new stability criterion which contains the information of membership functions is derived.The new stability criterion is less conservative,and enhances the design flexibility.Two numerical examples are presented to illustrate the conservativeness and effectiveness of the proposed method.

Randomized Latent Factor Model for High-dimensional and Sparse Matrices from Industrial Applications

Latent factor(LF) models are highly effective in extracting useful knowledge from High-Dimensional and Sparse(HiDS) matrices which are commonly seen in various industrial applications. An LF model usually adopts iterative optimizers,which may consume many iterations to achieve a local optima,resulting in considerable time cost. Hence, determining how to accelerate the training process for LF models has become a significant issue. To address this, this work proposes a randomized latent factor(RLF) model. It incorporates the principle of randomized learning techniques from neural networks into the LF analysis of HiDS matrices, thereby greatly alleviating computational burden. It also extends a standard learning process for randomized neural networks in context of LF analysis to make the resulting model represent an HiDS matrix correctly.Experimental results on three HiDS matrices from industrial applications demonstrate that compared with state-of-the-art LF models, RLF is able to achieve significantly higher computational efficiency and comparable prediction accuracy for missing data.I provides an important alternative approach to LF analysis of HiDS matrices, which is especially desired for industrial applications demanding highly efficient models.

An elastic-plastic analysis of short-leg shear wall structures during earthquakes

Short-leg shear wall structures are a new form of building structure that combine the merits of both frame and shear wall structures. Its architectural features, structure bearing and engineering cost are reasonable. To analyze the elastic-plastic response of a short-leg shear wall structure during an earthquake, this study modified the multiple-vertical-rod element model of the shear wall, considered the shear lag effect and proposed a multiple-vertical-rod element coupling beam model with a new local stiffness domain. Based on the principle of minimum potential energy and the variational principle, the stiffness matrixes of a short-leg shear wall and a coupling beam are derived in this study. Furthermore, the bending shear correlation for the analysis of different parameters to describe the structure, such as the beam height to span ratio, short-leg shear wall height to thickness ratio, and steel ratio are introduced. The results show that the height to span ratio directly affects the structural integrity; and the short-leg shear wall height to thickness ratio should be limited to a range of approximately 6.0 to 7.0. The design of short-leg shear walls should be in accordance with the ＂strong wall and weak beam＂ principle.

Reduced-order modeling and vibration transfer analysis of a fluid-delivering branch pipeline that consider fluid–solid interactions

The efficient dynamic modeling and vibration transfer analysis of a fluid-delivering branch pipeline(FDBP)are essential for analyzing vibration coupling effects and implementing vibration reduction optimization.Therefore,this study proposes a reduced-order dynamic modeling method suitable for FDBPs and then analyzes the vibration transfer characteristics.For the modeling method,the finite element method and absorbing transfer matrix method(ATMM)are integrated,considering the fluid–structure coupling effect and fluid disturbances.The dual-domain dynamic substructure method is developed to perform the reduced-order modeling of FDBP,and ATMM is adopted to reduce the matrix order when solving fluid disturbances.Furthermore,the modeling method is validated by experiments on an H-shaped branch pipeline.Finally,transient and steady-state vibration transfer analyses of FDBP are performed,and the effects of branch locations on natural characteristics and vibration transfer behavior are analyzed.Results show that transient vibration transfer represents the transfer and conversion of the kinematic,strain,and damping energies,while steady-state vibration transfer characteristics are related to the vibration mode.In addition,multiple-order mode exchanges are triggered when branch locations vary in frequency-shift regions,and the mode-exchange regions are also the transformation ones for vibration transfer patterns.

Effects of life-history components on population dynamics of the rare endangered plant <i>Davidia involucrata</i>

In order to estimate the most effect stage and process on population growth and effective conserve the rare endangered plant Davidia involucrata, we analyzed the dynamics and the contributions of life-history components on population dynamics based on Lefkovitch matrix model and sensitivity analysis. The life cycle of Davidia involucrata was divided into six stages (seed, seedling, juvenile, immature, early adult and late adult) based on the species characteristics and published literature data, the survival rates in each life-history stage were simulated using a static life table, and the fecundity of each stage was determined according to sample information. The results showed that the structure of the observed population was not ideal, and the numbers of seedlings and coppice shoots was similar. The population growth rate was influenced largely by individual growth process, and asexual reproduction made a larger contribution to population growth than sexual reproduction. However, sexual reproduction was more important than asexual reproduction, because most asexual reproducing individuals (the coppice shoots) were derived mainly from human destruction (e.g. felling trees). The most important stage was stage V (late adult), associated with seed production and germination. Therefore, conservation of Davidia involucrata populations should focus on stage V and sexual reproduction, in order to improve the seed production and germination rate, and to promote population stability and development.

THE THEORY OF STATIC DECAY IN COMPUTATIONAL MECHANICS

In this paper, a new mathematical form, matrix, continued fraction (MCF) is introduced to describe the decay of effects of an equilibrant system of forces acting on a sphere of an elastic body. By this way, the famous Saint-Venant's principle is proved often but not always valid in computational mechanics.

Precision Matrix Estimation by Inverse Principal Orthogonal Decomposition

We investigate the structure of a large precision matrix in Gaussian graphical models by decomposing it into a low rank component and a remainder part with sparse precision matrix.Based on the decomposition,we propose to estimate the large precision matrix by inverting a principal orthogonal decomposition(IPOD).The IPOD approach has appealing practical interpretations in conditional graphical models given the low rank component,and it connects to Gaussian graphical models with latent variables.Specifically,we show that the low rank component in the decomposition of the large precision matrix can be viewed as the contribution from the latent variables in a Gaussian graphical model.Compared with existing approaches for latent variable graphical models,the IPOD is conveniently feasible in practice where only inverting a low-dimensional matrix is required.To identify the number of latent variables,which is an objective of its own interest,we investigate and justify an approach by examining the ratios of adjacent eigenvalues of the sample covariance matrix?Theoretical properties,numerical examples,and a real data application demonstrate the merits of the IPOD approach in its convenience,performance,and interpretability.

Research on OD Matrix Calculation Based on Quantum Behaved Particle Swarm Optimization Algorithm

Traffic information is so far less than the number of OD variables, that it is difficult to obtain the satisfactory solution. In this paper, a method based on Quantum behaved Particle Swarm Optimization (QPSO) algorithm is developed to obtain the global optimal solution. It designs the method based on QPSO algorithm to solve the OD matrix prediction model, lists the detailed steps and points out how to choose the PSO operator. Moreover, it uses MATLAB program-ming language to carry out the simulation test. The simulation results show that the method has higher efficiency and accuracy.

基于MacBERT的方面级中文教学评论无监督情感分析框架

针对中文教学评论的情感分析,提出了基于预训练语言模型MacBERT的方面级中文教学评论无监督情感分析框架。首先,针对每个教学方面和情感极性,通过预训练语言模型构建语义一致的类别词表;然后,利用构建的词表和词性标签,基于重合率矩阵对训练语料库中的部分评论句进行标注;最后,利用已标注的评论句构建神经网络,通过MacBERT提取测试数据中方面类别和情感类别的联合隐藏特征,并利用抗噪声损失函数完成方面抽取和情感分类。实验结果表明,该模型在方面抽取和情感分类任务上的宏观F1值分别为78.10%和89.20%,说明该模型能够从学生反馈中准确完成方面类别抽取并确定每个评论句的情感极性。

基于宏观因子的SVR-Black-Litterman资产配置模型及其实证研究

随着全球经济不稳定性的增强和我国利率市场化的深入推进,金融资产的波动性不断加剧,资产组合优化配置问题依然是金融投资理论研究和实务领域的核心问题。Black-Litterman模型因其解决了传统均值方差模型对参数敏感的问题,且允许将投资者观点融入模型中,已被广泛应用于资产配置实践中。然而投资者观点矩阵的确定一直是Black-Litterman模型理论和应用研究的难点。将宏观因子融入投资者观点矩阵,应用基于主成分分析法的支持向量回归(SVR)模型实现观点矩阵的估计,构建融入宏观因子的SVR-Black-Litterman资产配置模型。为检验模型的有效性,将该模型与经典模型进行比较。实证结果表明,所构建的模型具有较好的市场表现。

基于Kano模型的三级癫痫中心护理服务需求调查

目的 分析三级癫痫中心护理服务建设的应用需求,为优化中心建设提供参考。方法 采用便利抽样的方法选取2022年6月至2023年6月在宜春市人民医院综合癫痫中心接受治疗的100例患者为研究对象,采用基于Kano模型及德尔菲专家咨询法设计的问卷进行调查。通过Kano模型需求属性分类、Better-Worse系数分析和二维矩阵分析,确定三级癫痫中心护理服务建设的需求属性,通过需求要素筛选确定最敏感和需要改进的要素。结果 根据Kano模型需求属性分类结果,根据指标分类的20项需求中包含期望需求9项(45%)、魅力需求3项(15%)、必备需求7项(35%)、无差异需求1项(5%),其中“护士服务态度”和“远程服务快速响应”两个需求指标的敏感度最高。结论 医疗机构及三级癫痫中心管理者应重视护士服务态度提升,确保每位患者都能得到尊重和关怀,同时优化远程服务流程,提高响应速度和服务质量,以满足患者对即时性和便捷性的需求。同时,三级癫痫中心服务建设需要提高互联网端远程指导能力及信息安保能力,针对住院或居家癫痫患者及时优化调整护理策略,改善患者康复效果。

基于Kano模型新生儿支气管肺发育不良医院-家庭过渡期的护理指导需求分析

目的探讨新生儿支气管肺发育不良(BPD)医院—家庭过渡期的护理指导需求,为提高该患儿医院—家庭过渡期的护理指导提供参考。方法选取2023年3月—2024年1月入住在江西省妇幼保健院新生儿科的120例新生儿BPD患儿为研究对象,运用一般资料调查表、基于kano模型的新生儿BPD医院—家庭过渡期的护理指导需求量表进行问卷调查。通过Kano模型需求属性分类、Better-Worse二维矩阵分析确定新生儿BPD医院—家庭过渡期的护理指导需求属性,通过需求要素筛选确定最敏感要素。结果魅力属性(A)占比14.29%;必备属性(M)占比28.57%;期望属性(O)占比42.86%;无关属性(I)占比14.29%。其中“精细和粗大等运动训练、通过语言或情景实操讲解、定期进行门诊或电话随访”是灵敏度最高的3个需求。结论临床护理人员在协助新生儿BPD患儿平稳过渡从医院到家庭环境的过程中,承担着至关重要的角色,需全面满足患儿的基本医疗需求,应满足对患儿行机械通气的护理及提供营养支持等必备需求。护理团队还应创新性地运用多渠道资源,如社交媒体群组、在线教育平台与移动应用,为患儿家庭提供丰富多元的信息支持与心理慰藉,帮助他们更好地理解BPD管理,减轻照护负担,增强家庭成员间的相互支持。

Simulated photo-degradation of dissolved organic matter in lakes revealed by three-dimensional excitation-emission matrix with regional integration and parallel factor analysis

Simulated photo-degradation of fluorescent dissolved organic matter(FDOM) in Lake Baihua(BH) and Lake Hongfeng(HF) was investigated with three-dimensional excitationemission matrix(3 DEEM) fluorescence combined with the fluorescence regional integration(FRI),parallel factor(PARAFAC) analysis,and multi-order kinetic models.In the FRI analysis,fulvic-like and humic-like materials were the main constituents for both BH-FDOM and HF-FDOM.Four individual components were identified by use of PARAFAC analysis as humic-like components(C1),fulvic-like components(C2),protein-like components(C3) and unidentified components(C4).The maximum 3 DEEM fluorescence intensity of PARAFAC components C1-C3 decreased by about 60%,70% and 90%,respectively after photo-degradation.The multi-order kinetic model was acceptable to represent the photo-degradation of FDOM with correlation coefficient(Radj2)(0.963-0.998).The photo-degradation rate constants(kn) showed differences of three orders of magnitude,from 1.09 × 10-6 to 4.02 × 10-4 min-1,and half-life of multi-order model(T1/2n)ranged from 5.26 to 64.01 min.The decreased values of fluorescence index(FI) and biogenic index(BI),the fact that of percent fluorescence response parameter of Region I(PⅠ,n) showed the greatest change ratio,followed by percent fluorescence response parameter of Region II(PⅡ,n,while the largest decrease ratio was found for C3 components,and the lowest T1/2n was observed for C3,indicated preferential degradation of protein-like materials/components derived from biological sources during photodegradation.This research on the degradation of FDOM by 3 DEEM/FRI-PARAFAC would be beneficial to understanding the photo-degradation of FD OM in natural environments and accurately predicting the environmental behaviors of contaminants in the presence of FDOM.

基于WSEIAC模型的导弹武器系统效能分析

在WSEIAC模型中 ,关键是确定能力矩阵 .给出了几种求WSEIAC能力矩阵的方法 .考虑人的因素和电子对抗等情况 ,在WSEIAC模型的基础上给出了新的模型 .此模型突破了只能评估导弹武器系统试验效能的局限性 ,估算值更能反映出导弹武器系统的实战水平 .