查询词典 algorithm theory

Approximation and projection theory in non-Euclidean and non-linear space; The framework of learning theory, learning algorithm and design strategies based on global architecture approximation.

也就是从整体结构理论上，把人工神经网络的信息处理看作为神经场的组织变换和反应变换两个过程的复合。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

In view of the problem of parametric optimization in a nonlinear control system,this paper presents a new simulating method of optimization to be combined with the theory of a nonlinear control system,optimization theory and genetic algorithm.

摘 要］本文针对非线性控制系统参数优化问题，结合非线性控制系统理论、最优化理论及遗传算法，提出了一种新的仿真优化方法。

First,the BP neural network to carry on the partial diagnosis to the fault information is used,then the fusion using the D-S evidence theory to the partial diagnosis result is carried on,and the final fault result is obtained.The introduction of D-S evidence theory increases the diagnosis result reliability and the accuracy,enhances the diagnosis algorithm compatibility.

首先用BP神经网络对故障信息进行局部诊断，然后利用D-S证据理论对局部诊断结果进行融合，进行全局诊断，得到最终的故障结果。D-S证据理论的引入，增大了诊断结果的可靠性和准确性，提高了诊断算法的适应性。

On the basis of the generalized phase integral approximation and the beam displacement ray mode theory, which are both developed by Chinese acousticians, a fast method for normal modes analyzing including the leaky modes is presented. The application of this method in the coupled mode parabolic equation theory gives an efficient algorithm for both the range dependent problems (CMPE2D) and the three dimensional problems (CMPE3D).

在我国独创的广义相积分理论和波束位移射线简正波理论的基础上，提出了一种可以快速而精确地求解简正波本征值的算法，并将该算法应用于简正波-抛物方程理论，从而实现了二维(CMPE2D)和三维(CMPE3D)声场的快速预报。

The purpose of the research is focused on finding the theory characteristic and potential advantage of SPH, and it is the basic theory and algorithm for further research and improvement of corresponding problems.

研究工作在了解SPH方法的理论特点和潜在优势的同时，也为相关问题的深入研究和改进奠定了理论和算法基础。

An instantaneous optimal semi-active control method is put forward. Combined sliding mode control with lyapunov's stability theory, the control weights matrix, which can minimize structural instantaneous energy, is designed. Simulation and shaking table test is conducted to validated the method's effectiveness. To solve combination explosion of controlled structural state encountered in high-rise building control, the semi-active control strategy, which can drive structural state point to reach the sliding mode switching band, is designed by using sliding mode control theory, and genetic algorithm is used to find the optimal semi-active switching to drive the structural state point to sliding mode switching band at prestissimo speed.

提出了一种瞬时最优半主动结构控制方法，利用滑模变结构控制理论和Lyapunov稳定性理论设计使结构瞬时能量最小的半主动控制权矩阵，仿真实例和振动台试验验证了本文所提方法的有效性和实用性；为解决在高层建筑半主动控制中半主动控制器状态组合爆炸的问题，利用滑模变结构控制理论设计在Lapunov稳定意义下使结构在运动状态空间中任一相点于以最快速率到达滑模切换带的半主动控制策略，并用遗传算法找出了最快到达滑模切换带的半主动控制切换组合。

However, in the algebraic representation of this theory, it is difficult to understand the essence of rough set theory, and efficient algorithm of knowledge reduction has not been found.

该文首先建立了知识与信息之间的关系；然后，在此基础上给出了粗糙集理论中概念与运算的信息表示；最后，证明了知识约简在信息和代数两种不同表示下是等价的。这些结论有助于人们深刻理解粗糙集理论的本质，同时，为寻找高效的知识约简算法奠定了基础

Based on statistical learning theory and optimization theory,unconstrained optimization models for support vector machines are built,and an approximate algorithm-maximum entropy method is given.

本文方法特别易于计算机实现，数值实验结果表明了模型和算法的可行性和有效性。1引言近年来，在V.V apn ik的统计学习理论[1，2]基础上发展起来的支持向量机(Support V ector M ach ine，SVM)正成为机器学习领域中新的研究热点[3，4，5]。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。