查询词典 least squares

By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio, the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained.

通过分析噪声误差，提出采用奇异值总体最小二乘(singular value decomposition total least squares，SVDTLS)算法进行间谐波频率估计，即同时考虑矩阵方程两边的噪声干扰，采用SVDTLS算法求解该情况下的最小范数解，通过对增广矩阵进行奇异值分解(singular value decomposition，SVD)，采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算，得到了较精确的间谐波频率估计结果。

Derive recursive least squares method, recursive general least squares method, recursive augmented matrix method, recursive multiple-stage least squares method and recursive maximum likelihood method based on recursive Householder transformation by applying the three real-time solutions of overdetermined linear equation to difference model.

将线性矛盾方程组的三种实时解法应用于差分模型，导出了基于Househol-der变换的递推最小二乘法、递推广义最小二乘法、递推增广矩阵法、递推多级最小二乘法和递推极大似然法。

The discrete least- squares approximation method is proposed to determine the edge of the die first, then to estimate its centroid after the image processing.

而本影像识别之方法采用离散最小平方法逼近 discrete least-squares approximation 晶粒边缘，用以求得晶粒形心与摆向方位角度。

The alternative estimators used in this paper include least squares estimator, stratified weighted least squares estimator, probability weighted least squares estimator, and Quasi-Aitken weighted least squares estimator.

中文摘要抽样调查设计随著资讯需求的增加日益复杂，然若参数的估计方法无法配合所使用的抽样调查设计，则统计推论结果将难以达到预期的精确度。

Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所构造的迭代法的优点在于先利用法方程变换将求矩阵方程的最小二乘解转化为求一个相容矩阵方程的解的问题，再利用迭代法对于任意给定的初始矩阵进行迭代，均可在有限步内迭代出所求问题的一个解；可将问题II转化为求新方程的极小范数解的问题，同样用迭代法求解，从而系统且全面地解决了问题I、II在约束矩阵类如中心对称、中心反对称、自反矩阵、反自反矩阵、双对称、对称次反对称、对称正交对称、对称正交反对称矩阵中的最小二乘解及其最佳逼近问题。

Partial least squares regression is a new multiple statistic data analytical method, it is produced from chemistry field.

偏最小二乘回归分析(partial least squares regression简记为PLS)是一种新型的多元统计数据分析方法，它最早产生于化学领域。

This thesis focuses on surface reconstruction from point cloud model, and have discussed and extended three common methods: Moving Least Squares method, Radial Basis Functions method and Multi-level Partition of Unity method.

本文以点云模型曲面重构为研究对象，研究并扩展了三种常用曲面重构方法：最小移动二乘法(MLS：Moving Least Squares Method)法，径向基函数(RBF：Radial Basis Functions method)法和多层次单元分割(MPU：Multi-level Partition ofUnity method)法。

A new chemometrics method, which is based on the combination of wavelet transform and Partial Least Squares, is applied to simultaneous determination of Pb2 + and Tl+ mixtures by oscillographic chronopotentiometry.

提出了基于小波分析和偏最小二乘(Partial Least Squares，PLS)基础上的化学计量学方法用于示波计时电位同时测定铅和铊的研究。

The results showed that the 16S rDNA copies of Bacteroides spp. decreased in rotavirus-infected children by 2 orders of magnitudes. 665 clones in Group H and 284 clones in Group R were sequenced and 34 OTUs were obtained according to 98% sequence homology. Partial least squares discriminant analysis of the clone library profiling data revealed significant structural shifts of gut microbiota.

利用偏最小二乘判别法(Partial least squares discriminant analysis，PLS-DA)对这34个OTU进行分析，结果表明轮状病毒感染导致肠道内拟杆菌组成结构发生了变化，通过拟杆菌的组成可以将健康个体与轮状病毒感染个体分开，而对于区分两组个体起关键作用的OTU分别与Bacteroides vulgatus ，Bacteroides stercoris和Bacteroides fragilis有很高的同源性。

We study three channel estimation methods; two are based on two-dimensional linear and non-linear interpolations, then another is formulated as a least squares problem.

我们探讨了三种通道估测的方法，一个是二维的线性内插，一个是二维的非线性内插，另一个是最小平方法(Least-squares)。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。