查询词典 least squares

Like the central nave, the north was apparently decorated with one continuous panel. To the east, this gave way to a small design of crosses and squares. Enclosed in rectilinear edges, the panel showed a design of interlocked octagons, which, in turn. formed squares. hexagons and triangles. At some unknown date, this panel of white, black and red cubes was damaged by a crack which was repaired with white cubes.

像中殿一样，北边的长廊是由一个连续的窗格所装饰，直到东面才变为一个小的十字和方形的设计，并逐渐在边缘被密封，窗格由一连串的八角形设计，形成了方形、六角形和三角形，不知道在什麼时候，这些窗格的白色、黑色和红色的镶嵌块被损坏，这个裂缝被一个白色的镶块的修复。

This paper presents a method of iteration for least absolute deviation regression,which uses weighted least squares methods.

利用加权最小二乘法，提出最小一乘的一种迭代算法，这种方法使最小一乘法在计算上变得简单、直

Based on Hankel's matrix method and augmented least square recursive algorithm,the paper features the recursive least squares method of nonlinear parameter estimation with forgetting factor by introducing the constraint indicator of ...

依据Hankel矩阵法，在参数估计准则函数中加入待估参数的增量约束项和遗忘因子，并结合增广最小二乘递推算法，提出一种具有遗忘因子的非线性参数估计的递推最小二乘法。

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。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

Elliptical fitting matlab code, at least for the given five-point least-squares fitting of data.

详细说明：拟合椭圆的matlab代码，对给出的至少5个点的数据进行最小二乘拟合。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

The Least Z-Difference algorithm using Least Trimmed Squares estimator is proposed in this paper.

提出一个使用截尾最小二乘估计的最小高差算法，该算法在迭代过程中通过基于高差直方图的自适应阈值来区分变形区观测量。

Differential Evolution Orthogonal Least Square algorithm for RBF network is presented,a hybrid algorithm blending Orthogonal Least Squares method with Differential Evolution algorithm.

研究用于径向基函数网络训练的一种微分进化正交最小二乘算法。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。