查询词典 least squares approximation

This paper introduces least squares estimation into SVM and deduces least squares support vector regression algorithm,which applies equality constraint instead of inequality constraint of SVM and makes it easier to obtain solutions.

探讨了将最小二乘估计引入到支持向量机中，给出最小二乘支持向量机回归算法，该算法用等式约束代替传统支持向量机回归中的不等式约束，使得求解过程更为简单。

The simulation results also find that the Quasi-Aitken weighted least squares estimator has a smaller asymptotic variance than least squares estimator.

研究结果显示机率加权最小平方法与Quasi-Aitken机率加权最小平方法的回归参数估计式皆具有不偏性，其中Quasi-Aitken机率加权最小平方法的回归参数估计式的变异最小。

The simulation results show that probability weighted least squares estimator and Quasi-Aitken weighted least squares estimator are unbiased estimators of regression coefficients.

研究方法系采用Monte Carlo模拟方式模拟比较最小平方法、分层加权最小平方法、机率加权最小平方法及Quasi-Aitken机率加权最小平方法在分层不等机率抽样下的表现。

OD estimation was divided into fixed steps, with every step containing a bi-level programming. The upper-level problem was a generalized least squares estimator, while the lower level problem was a stochastic user equilibrium model. Namely, based on generalized least squares estimator and stochastic user equilibrium, a new estimator of the OD matrix was proposed by target matrix and traffic counts updating.

将OD估计分为固定的步数，每一步都是一个双层规划，上层为广义最小二乘估计，下层为随机用户均衡分配模型，即以广义最小二乘估计和随机用户均衡分配模型为基础，通过更新估计模型中目标矩阵和实测路段上的流量来估计OD矩阵。

Partial least squares regression is a new high-dimension-project-based nonparametric analysis method, which is an extension of ordinal least squares to deal with some defects of OLS much more efficiently.

偏最小二乘回归是一种基于高维投影思想的新的非参数回归方法，是对一般最小二乘的改进，比较有效地克服了OLS的部分缺点。

A new least-squares-based algorithm that introduces a within-class scatter with guaranteed classification performance in the design of least squares support vector machines is presented.This algorithm can obtain better correctness that reformulates primal LS-SVM problems with optimality criterion Min w′Mw where w is the weight vector corresponding the primal LS-SVM problems,M is the within-class scatter matrix.

提出了一个新的最小二乘支持向量机算法，该算法向最小二乘支持向量机优化模型中融入了类内散度思想，即用优化准则Min w′Mw对原LS-SVM进行重组合，w为对应LS-SVM中的权向量，M是类内散度矩阵。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

The first step is reviewing conventional methods of digital beam forming, including WINER method, Steepest-Descent method, LMS, RLS etc. Then , recent digital beam forming methods in the DS-CDMA mobile telecommunications systems are studied, including the algorithm based on least-squares despread respread Multi-Target array, least-squares Despread Respread Multi-Target Constant Modulus Array , Pilot bit LMS-DRMTA algorithm etc.

本文首先简介传统的DBF算法，包括维纳算法、最陡下降算法、最小均方算法、递归最小二乘算法等；然后介绍基于DS-CDMA移动通信系统的DBF算法，包括LS-DRMTA、LS-DRMTCMA导频LMS-DRMTA算法等；最后给出各种算法的仿真结果及分析。

This article puts forward the partial least squares regression and the maximum entropy risk analysis model for the first time on the basis of analyzing the disadvantage of the traditional methods and anatomizing the advantage of the partial least squares regression method and the maximum entropy method.

作者在分析传统风险评价方法的优缺点、剖析偏最小二乘法和最大熵法优势的基础上，首次提出了偏最小二乘－最大熵风险分析模型。

The first part of this paper goes to a thoroughreview of studies on methods for nonlinear least squares problems, which are then,from the perspective of arithmetic design, classified into five major types: methodsbased on quasi-Newton equation, hybrid methods, factorized quasi-Newton method,trust-region methods, and self-scaling method. The second part of this paper turns thefocus toward a type of new algorithms for nonlinear least squares problems based onnew quasi-Newton equation.

本文的前半部分通过对非线性最小二乘各种求解方法的回顾，从算法设计的角度将求解方法划分为五大类：基于拟牛顿修正的方法，混合法，分解拟牛顿法，信赖域算法以及具有乘积结构类算法，本文后半部分给出了基于新拟牛顿方程的一类求解非线性最小二乘的新算法。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。