理论模型

Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

In this paper,using annuity theory and combining with State Department′s 'the decision of establishing consolidated corporation employee pension system',the actuarial model of pension substitute rate with different contributing years to employees is derived;moreover,using this model,simulation is tested,which has important theoretical significance and practical application value to calculating substitute rate and completing the China pension policy.

利用年金理论并结合1997年国务院《关于建立统一的企业职工基本养老保险制度的决定》文件，得到我国职工在不同缴费年限下基本养老保险替代率精算模型，并利用该模型对基本养老保险替代率进行模拟分析。这对于明确我国当前基本养老保险替代率及完善基本养老保险政策具有重要的理论指导意义和实际应用价值。

In the paper,the theory of production frontiers and its non-parametric measurement ap～proaches are used to figure out the input compressing productivity index,Malmquist productivity index based on the input oriented non-parametric production frontiers .The technology efficiency and thedis～tance function and their nonparametric models anr introduced on the conditions of Constant Return to Scale and input strong disposability The Non-pparametric measurement approaces and the decomposition of Malmquist prisuctibity index are put forward

孙巍文采用生产前沿面理论及其非参数方法，对假定产出确定条件下投入压缩的生产率指数基于投入前沿面的Malmquist生产率指数进行了理论与测度方法研究，通过规模收益不变且要素自由，C，S，前沿面条件下的技术效率，距离函数及其非参数模型的分析，本文给出了基于非参数，C，S，投入前沿面的Malmquist生产率指数的非参数测度模型，并从技术变化和资源配置效率变化两个方面进行了分解

A precise background theory of computational mechanics is formed. Saint-Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model.

用泛函分析的双空间理论为计算力学构造了一个严密的背景理论，以此在链式模型上讨论圣文南原理，同时将传统的连分数扩展为算子连分式作为链式模型的本征关系式。

They are theory base of physical model and mathematical model.Secondly, we should start with Navier-Stokes equation and equation of continuity.

首先，通过丁坝回流理论和回流计算公式的探讨，分析丁坝回流产生的原因以及回流强度的影响因素，为物理模型和数学模型的建立提供理论基础。

In this project, the theory of convex models is generalized from convex domain to non-convex domain, from small-range algorithm based on Taylor's series to large-range one so that the range of its application is extended and the computational precision is improved.

本项目将凸区域的凸模型理论推广到非凸区域上，将小范围泰勒展式算法拓广到大范围问题的求解中，扩大了凸模型理论的适用范围，提高了运算精度。

In this dissertation, copula theory and ...

论文在深入研究Copula理论的基础上，构建了基于Copula理论的多变量金融时间序列模型并系统地研究了它们的动态建模问题，研究了Copula模型在金融风险管理上的应用，并最后应用优化算法解决描述板块相关性结构的问题。

Based on the correspondence principle in viscoelastic theory, the viscoelastic model of axisymmetric round headings has been analyzed, obtaining theoretical results of displacement field in the viscoelastic model.

采用粘弹性理论的对应原理，对轴对称圆巷的粘弹性模型进行了分析，从而得出了该模型位移场的理论解。

According to this theory, the origin of return voltage in oil-paper insulation system is analyzed. Then two equivalent extended Debye models, a simplified one as well as a complicated one, are established. Based on the dielectric polarization theories, the parameters in the Debye models are analyzed, and its influence to the curve of return voltage are also discussed.

本文首先从极化过程的基本原理出发，给出了回复电压法的理论基础，并由此分析油浸式电力变压器出现回复电压的原因；然后建立了两种等效扩展德拜模型，结合介质极化理论分析了模型中电路参数的意义，并讨论了各参数变化对回复电压曲线的影响。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。