测度

Considering the inputs of neural networks as random variables, this thesis aims at extending this definition to the probability measure space.

本文旨在当把神经网络各输入变量看作随机变量时，把这种定义推广到概率测度空间。

Comparing to the deterministic case, the base space of RDS is one probability space without any topology, which is one of the essential difficulties from the deterministic case to random case. We conquer the difficulty in this paper.

随机动力系统和确定性动力系统相比，它的底空间是一个没有任何拓扑结构的概率测度空间，这一点恰是从确定性系统到随机动力系统的一个本质困难之一，无论是对有限维的情形还是对无穷维的情形。

The Kolmogorov extension proceeds along the following lines: assuming that a probability measure on the space of all functions exists, then it can be used to specify the joint probability distribution of finite-dimensional random variables .

收益的Kolmogorov延长其内容大致如下：假设概率测度空间上存在的所有功能，那么它可以用来指定联合概率分布的有限维随机变量。

In this paper,a probability space is introduced to describe IC yield optimization problem,and the probability measure of the feasible region is employed to indicate the yield The weighted Monte Carlo method is snitable in the early optimizzation stage,while the improved SA algorithm is more efficient in the final stage.

本文引入了一个概率空间来描述集成电路合格率优化问题，并将合格率表示为可行域的概率测度。所提出的变权重MonteCarlo法适合于合格率不太高的场合，而改进后的SA算法则适合于合格率比较高的场合。

Sset future prices can be forecasted with filtering historical simulation by drawing from standardized residual density. The problem of inappropriate risk neutral assumption could be resolved by the calibration from density transformation. The transformation is to identify the state price density per unit probability through the parameter re-estimation by minimizing the mean squared error of market and model prices.

bstract：使用残差机率分配抽样的过滤历史模拟法可以作为未来资产价格的预测，而风险中立假设不适当的问题则可透过风险测度的转换予以解决，该转换过程系将市场价格与模型价格的均方差极小化求得估计校正后的新参数，作为状态价格机率分配的转换机制。

In this paper,we construct a simultaneous bivariate probit modelto correct the sample selection bias.

本文构建一个测度贷款违约概率的联立双变量Probit模型，对样本选择偏差问题进行纠正。

We define the concept of Conditional Attribute Measure and Product Attribute Spaces.

我们首先引入了条件属性测度和乘积属性空间的定义。

It provides a new way for prothesis control and pathological diagnosis.

作为一种新的肌电信号特征，复杂性测度也为生理与病理分析提供了新的思路

A simple and fast algorithm is based on iterative edge collapse and quadric error metric to simplify mesh models.

给出一种基于递进网格和二次误差测度的快速简便的算法来简化带属性的网格模型。

For many years, most of the research efforts into vector quantization based on squared error measure have concentrated on fast encoding algorithms in software.

多年来，对基于平方误差测度的矢量量化的研究大多集中于以软件实现的快速编码算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。