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A distance is defined between two sample points in high-dimension space by means of kernel-function technique.

通过核函数技巧,定义了高维空间中两样本点之间的距离。

For each inference problem, we may define a function mapping each inference technique to a subset of the sample space.

而对於每个推论方法,我们可定义一个函数,将此推论方法映射到样本空间的一个子集。

Although the asymptotic normality of pseudo-likelihood estimates has been proved (Gidas, 1993), the difference between the proposed asymptotic variance and the sample variance is still huge in binary Markov random fields.

虽然最大伪概似函数估计量的近似常态分布已被证明(Gidas, 1993),但其近似理论上的变异数与样本变异数在二元随机域之下仍存在著相当的差异。

A new function express network total error.

选取了较优的学习率和动量因子的调整方法;用新的函数形式表示网络的总误差;改进了样本的学习顺序。

The results of numerical experiments show that the method has the ability to filter the sample noise from limited number of background error member, to estimate the true background error correlation functions.

试验结果表明:基于球面小波的背景误差协方差模拟方法能够克服由有限背景误差样本引入的取样噪声,有效地估计出真实的背景误差相关函数。

The empirical Bayes estimation for parameters of the one-side truncated distribution family with convergence rate which can close to 1 arbitrarily is investigated using NA samples and an example that satisfies the conditions of theorem is given.

运用NA样本密度函数核估计构造了一类截断型分布族参数的经验Bayes估计,建立了它的收敛速度,证明了在适当条件下该收敛速度可以任意接近于1,文中还给出了适合定理条件的例子。

The papes utilizer Parzen's kernel estimate theory which was used in estimating the function ofprobability intensity and Chen Xiru's results in the field to strictly prove the following fact.Whenusing non-completeness knowledge sample W to find the law which W would be kept to,thefrom:is closer to real pthan the estimate of rectangular diagram.

本文借鉴Parzen提出的概率密度函数的核估计理论和陈希孺教授等研究的结论,用概率论的方法严格证明了下列事实:用非完备知识样本估计其观测值应遵循的概率分布规律时,扩散型估计:得到的分布比用直方图法得到的估计更接近于真实概率分布p。

Research results indicate that generalization ability and learning accuracy are the non-decreasing function of weight adjusting ratio.

研究 结果表明,在样本分布和量化级数不变时,泛化均方差和学习均方差是权调整率的非增函数。

It is difficult to control a single inverted pendulum system because of the characteristics of multi-variable, nonlinear and absolutely instability of the system. A controller based on adaptative neuro-fuzzy inference system is designed by using Matlab/Simulink software in the paper. For the sampling data the hybrid algorithm of back propagation algorithm and least squares algorithm is applied in the paper. Thus the parameters of membership function are adjusted and all of the fuzzy rules are generated automatically.

摘 要:针对单级倒立摆系统具有多变量、非线性、绝对不稳定的特点,本文应用Matlab/Simulink 设计了用于倒立摆系统的基于自适应神经模糊推理系统的ANFIS控制器,采用反向传播算法和最小二乘算法的混合算法对倒立摆控制样本数据进行学习,调整各变量的隶属度函数,自动产生模糊规则。

Using the quantitative method of studying the non-classical nonlinear behavior of rock given by Guyer, it is conveniently to get the distribution density of hysteretic elastic unit in the so called Preisach-Mayergoyz space.

利用Guyer等提出的研究非经典非线性的定量化方法,反演得到了实验室样本的P-M空间密度分布函数。

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