查询词典 stochastic approximation

In the first part, we focus on some recent developments and current research trends on deterministic and stochastic global optimization.

第一章中，较全面地概述了目前国内外全局优化的发展动态。

We start by covering deterministic and stochastic dynamic optimization using dynamic programming analysis.

我们会以使用动态规划分析来处理确定及随机的动态最适化作为开始。

Then, the relations among the robust optimization model, stochastic optimization model, and deterministic optimization model are analyzed and two algorithms, enumeration method and genetic algorithm are presented.

分析了鲁棒优化模型与确定性优化模型、随机优化模型的关系，并在此基础上给出了求解鲁棒优化模型的两种方法——枚举法和遗传算法。

Firstly, according to the difficulties in the optimization of chemical engineering and the intrinsic disadvantage of deterministic optimization algorithms, this work analyzed the importance and advantage of stochastic algorithms, and proposed some important aspects in research on them. Secondly, genetic algorithm was applied to two problems of data driven modeling, one of which was combination problem, the other was mixed integer nonlinear programming. Thirdly, systemic investigations were made on the basic structure, dynamic behavior and modifications of particle swarm optimization. Lastly, two kinds of proposed PSO algorithms were applied on calculation of phase equilibrium, which is nonconvex optimization.

本文首先根据化工优化中存在的困难和确定性优化算法内在的缺点，分析了随机优化算法的重要性，并提出研究随机优化算法应注意的问题；其次，将遗传算法应用于两个数据驱动建模问题，一为组合优化问题，一为混合整数优化问题；再次，从粒子群优化算法的基本结构、运动行为、改进方法做了系统的研究：最后，将提出的两种改进粒子群优化算法应用于相平衡计算问题，为非凸全局优化问题。

The codes of the two algorithms are implemented by Visual C++ on Visual Studio 6.0. Optimization software Lingo 9.0 is utilized in the code to solve the deterministic optimization model and two-stage stochastic optimization model.

以Visual Studio6.0为平台，以Visual C++为开发语言编写了两种算法的代码，代码中通过调用Lingo9.0来求解确定性优化模型和两阶段随机优化模型。

To facilitate the practical application, some simple rules are summarized to indicate the optimal selection rule among the ones known so far, under different circumstances. 4 Through clearly describing the uncertainties in stochastic simulation optimization and deterministic complex optimization, a unified formulation is proposed for the two types of optimization problems.

为方便工程应用，总结出一些简单规则，指出各种情形下的目前已知最优挑选规则。4通过明确刻画随机仿真优化与复杂确定性优化问题中的不确定因素，为两类问题提供统一描述。

In history and reality, the contradiction between needs and limited resource always exists. From the view point of system-science, it can be concluded that:①The interaction among need-contradiction-ability is the perpetual force for enterprise evolution (and the evolution of other living systems). The improvement of "ability"is the process and result of evolution.②The competition and coordination among systems is the direct power for enterprise evolution. Competition produces various system actions. Coordination makes systems complement their functions with each other. The interactions of competition and coordination push enterprise into the flow of evolution and optimization.③The"stochastic fluctuation"of the system, which is accidental finding, is another force for enterprise evolution. It is a deterministic element in the process of the self-organization of enterprise.

在历史和现实中，需要和满足需要资源稀缺之间的"问题"是恒久存在的，从系统科学的角度可以演绎出：①需要一问题一能力三种异质要素的相互作用是企业进化（其它一切有生命系统进化）的永恒动力，"能力"的提高正是进化的过程和结果；②各系统间的竞争与协同是企业进化的直接动力，竞争产生多样化的系统行为，协同则使各系统间优势互补，竞争与协同交互作用推动企业呈现出进化与优化的趋势：③系统的"随机涨落力"即意料之外的发现与创新是推动企业进化的又一种动力，它是企业自组织过程中带有必然性的力量：④在解决"问题"中创新者的作用不可低估，但更为根本地说创新者只是"需要一问题一能力"这三种要素相互作用的载体，个体的创新是企业自组织过程的必然结果。

First, time series of spontaneous spike trains of auditory nerve, which represent Poisson distribution in time field, are pure stochastic process, or process which have inherent temporal regularity, that is, inherent deterministic mechanism?Second, if the process have inherent deterministic mechanism, how to depict it?

我们关心的问题是：一、在时间轴上放电间隔分布呈泊松分布的听神经自发放电时间序列，是一单纯的随机过程，还是具有某种内在的时序规律性，或称之为内在确定性？

Because the time series generated from finite difference equation with chaos may also possess exponential distribution of probability density. Additionally, irregular dynamics has ever been attributed to the presence of stochastic noise in many systems, but actually it may result from chaotic process in deterministic system.

近年来对非线性动力系统的深入研究发现：观察到某一过程具有指数型概率密度事件分布并不足以确定它就是泊松过程，由具有混沌行为的有限差分方程所产生的时间序列也可具有指数型概率密度分布；在许多系统中，过去归因于随机噪声的不规则动力学特性，实际上很有可能是由确定性系统中的混沌过程所致。

While the negative coupling suppresses the fluctuations in the laser system and changes the system from stochastic process to deterministic process.

标 签 正耦合负耦合加性噪声倍增噪声涨落 positive coupling negative couling additive noise multiplicative noise fluctuation

There had been a moment during the breakfast meeting, though, after the backslapping and the small talk and when all of us were seated, with Vice President Cheney eating his eggs Benedict impassively and Karl Rove at the far end of the table discreetly checking his BlackBerry, that I witnessed a different side of the man.

那次早餐会期间，在表示过关心和寒暄以后，我们所有人坐了下来，我注意观察了一下，副总统切尼面无表情地吃着班尼迪克蛋（Eggs benedict，源自美国，以英式松饼、火腿、水煮蛋以及荷兰酱组合而成），卡尔。罗夫在餐桌的远端谨慎地经常查看他的黑莓手机，我目睹了他所不为人知的一面。

Talk Undelete failed; someone else may have undeleted the page first.

Talk 无法删除选定的页面或图像（它可能已经被其他人删除了）。