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The situation after the first M step is shown in plot, in which the mean of the blue Gaussian has moved to the mean of the data set, weighted by the probabilities of each data point belonging to the blue cluster, in other words it has moved to the centre of mass of the blue ink. Similarly, the covariance of the blue Gaussian is set equal to the covariance of the blue ink.

图显示了初始的 E 步骤,用红色表示用红色 component 产生的后验概率,蓝色也是同样的情况,还有一些不太确定的点是用紫色显示的,在图中蓝色的高斯的均值已经移到了蓝色数据集的中心上,类似的,蓝色高斯的协方差设为蓝色点的协方差

This thesis has mainly contributed two results in theory: one is that the covariance matrix is not positive definitive if the number of sampling is least than the number of variables, the other is that the covariance matrix of discrete sample is positive definitive if and only if the sum of every random column vector of data matrix is non I-linear combination.

本论文在理论上,主要得出两个新的结果:ⅰ抽样调查中,若样本的个数少于变量的个数则样本协方差矩阵恒为非正定;ⅱ离散型样本协方差矩阵正定的充要条件是样本资料阵的各随机列向量是非I-线性组合。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数,而其Fourier系数可通过协方差函数的逆变换得到的特性,我们对于零均值的近周期相关序列构造了类似于周期图的函数,并构造其经验小波系数,利用频率处于此函数的尖点的特性,以及此性质在经验小波系数中的反映,来确定频率的个数和位置,所有的估计量都是强相合的,此外,数值模拟的结果表明,我们的方法是有效的。

Considering that the covariance function could not exist in some conditions, we put forward the idea of using the variogram function as a substitute for the covariance function and prove their equivalence.

考虑到在某些情况下协方差函数可能不存在,因此考虑用变异函数来代替协方差函数估计径向基核函数的宽度参数。

The proposed method first employs covariance matrix tapers to obtain the interference covariance function and its corresponding spatial spectrum in non-ideal scenarios.

该方法首先利用协方差矩阵加权得到非理想情况下的干扰协方差函数和对应的空间谱,然后根据周期延拓后的干扰空间谱估计干扰自由度。

The paper studies the form of the result of SVM with covariance function as the kernel function under some conditions, and draws the conclusion that Kriging is equivalent to SVM under those conditions. Based on the conclusion, we put forward the idea of using the covariance function as a substitute for the RBF kernel function of SVM.

摘要研究了支持向量机(support vector machine,SVM)方法在一定假设条件下,核函数取为样本协方差函数时解的具体形式,得出了在该假设情况下SVM方法等价于克立格方法的结论,提出了用协方差函数作为SVM核函数的思想。

This paper discusses the estimation method of wave spectrum by covariance functional method.

黄海;平均波高;海浪谱;协方差函数;海浪频谱;本文用协方差函数法探讨了海浪谱的估计方法。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了离散型样本协方差矩阵正定的充要条件,得到了求离散型样本协方差矩阵正定概率的模型,建立了特殊情况下的抽样优化模型。

In this article,origins of numerator relationship has been proved and the correlative calculation formula deduced .

本文对亲缘协方差的来源及相关公式进行了系统推导,并概括了应用亲缘协方差公式计算动物亲缘系数及近交系数的规则。

This method decomposes wave-front phase to a linear combination of orthonormal basis functions, According to the covariance of weight coefficient, a random wave-front phase is realized.

协方差冲激函数产生法对连续波前相位进行冲激函数正交分解,根据正交分解系数的协方差模拟平行光通过大气后的瞬时波前相位。

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