查询词典 stochastic approximation

This dissertation deals with theoretical and practical aspects of antithetic and common random numbers for variance reduction in simulation of stochastic systems.

本文对复杂系统仿真中的公共随机数和对偶变量法进行了系统的论述，给出了各种条件下实现方差衰减的理论和实验结果，给出了估计一对具有独立和相关分量的向量函数的响应和期望的最优化证明，且推导出在弱条件下的方差衰减。

The result of simulation and experiment showed that in follows:Stochastic resonance in the neuron models was not only for periodic signal but alsofor aperiodic signal.

实验结果表明：神经元模型中的随机共振不仅仅局限于周期信号，对于非周期信号也广泛存在。

Moreover, the synchronization of EAN is studied; the result shows that the stochastic networks are more poorly synchronized than their deterministic counterparts. These models can well mimic some real systems. Firstly, two dimensional random Apollonian networks and two dimensional EAN are maximal planar graphs, which may be helpful for designing printed circuits. Secondly, V-HDRAN can be mapped into the Yule process, which was inspired by observations of the statistics of biological taxa. From this perspective, V-HDRAN can find some applications in biological systems. Thirdly, all networks of this type consist of complete graphs; this particularity of the composing units can provide a comprehensive aspect to understand some real-life systems making up of complete graphs, such as movie actor collaboration networks, scientific collaboration networks and networks of company directors.

这些模型可以很好地描述现实系统，其中二维随机阿波罗网络与二维演化的阿波罗网络为最大平面图，这对印刷电路板等现实系统的设计有重要的借鉴作用；变体模型V-HDRAN的构建过程与Nature上发表的关于生物物种的形成过程之间存在一个一一对应的关系，这对生物系统的建模有重要的价值；另外，这类网络均由完全图组成，它们对由完全图组成的电影演员合作网、科学家合作网、公司董事网等由完全图构成的现实网络的建模有重要的理论意义和应用价值。

In this paper the principles of a stochastic process will be applied to the studyof rock mechanics.

本文将随机过程引入岩体力学中，借助区域化变量和变异函数表征岩体力学的性质。

In this dissertation, we discuss the decomposition and approximate solution of Stochastic Petri Nets.

本文讨论了随机Petri网的分解和近似求解问题。

We show that the positive solution of the associated stochastic differential equation does not explode to infinity in a finite time.

文中给出了随机微分方程存在唯一正解，且解在有限时间内不爆破。

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

Second, by studying the asymptotic behavior of the solution, we obtain the existence of random attractor for the stochastic quasi-geostrophic dynamical system.

另一方面，通过研究解的渐近行为，我们得到随机准地转动力系统的随机吸引子的存在性。

This paper discuss the asymptotic properties of several types of neutral stochastic functional differential equations.

本文讨论几种类型的中立型随机泛函微分方程解的渐近性质。

Stochastic Petri Nets has good ability for dynamic analysis of concurrency, asynchronism and uncertainty of systems. It is particularly suitable for system modeling and dependability analysis.

随机Petri网对系统的并发性、异步性和不确定性具有很强的动态分析能力，特别适合系统建模和可信赖性分析。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。