查询词典 regression hyperplane

Unitary linear regression is done between w~e、 w~ρ、 e~ρ、w_L~w_P. For α_v 、 C_ c between w、ρ、 e、 w_P in eastern China, unitary linear regression is done to silty clay as well as multivariant regression with coefficient iteration method and least-squares procedure are done to all kinds of soil, and the two results are compared. Unitary linear regression and multivariant regression are done to c_q、φ、 c_d、φ_d between e and I_P. Unitary linear regression and multivariant linear regression are done to napierian logarithm of q_u between e 、 I_L、 w_P and w_L, then the equations of regression are checked with other parameters.

对物理指标含水量～孔隙比、含水量～湿密度、孔隙比～湿密度、液限～塑限作了一元线性回归；对华东地区粉质粘土的压缩系数、压缩指数和含水量、湿密度、孔隙比及塑性指数作了一元线性回归；对华东地区所有土类的压缩系数、压缩指数和物理性质参数用系数迭代法和最小二乘法作了多元线性和非线性回归，并对两种方法得到的回归结果作了比较；作了快剪强度指标和固结快剪强度指标关于孔隙比和塑性指数的一元线性回归和多元线性及非线性回归；对无侧限抗压强度的自然对数值和孔隙比、液性指数、液限及塑限作了一元和多元线性回归，并用其它工程的参数对回归方程进行了检验。

Topics covered by this course are:(1) Simple linear regression,(2) Inference based on fitted regression model,(3) prediction based on fitted regression model,(4) Application of simple linear regression,(5) Verification of regression assumption,(6) Multiple regression,(7) Qualitative independent variables,(8) Multicollinearity, and (9) Stepwise regression.

课程内容包含：（1）简单线性回归；（2）回归模式适合性的推论；（3）利用回归模式的预测；（4）线性回归的应用；（5）回归模式假设条件的检定；（6）复回归模式；（7）质量性独立变数的处置；（8）共线性的探测；与（9）逐步回归分析法。

The contents from the third chapter to the fifth chapter are the kernels which are a series of applications of generalized regression model and generalized regression estimator. At first, this paper constructs ratio model, linear regression model, post-stratified regression model and nonparametric regression model through different regressive relationship between auxiliary variable and study variable.

首先是依据辅助变量与研究变量之间回归关系的不同，分别建立比率模型、线性回归模型、事后分层回归模型和非参数回归模型，然后再利用第二章中推导出的广义回归估计理论，对各种回归模型辅助下(来源：A4bBC12论文网www.abclunwen.com)的估计方法进行了系统性研究，从而构成了模型辅助估计方法的整个研究体系。

Multiple linear regression is the simplest way to build the relationship between the several explanatory variables and response variable. However, MLR often causes the estimated regression coefficients unstable or even unaccessible when the number of explanatory variables is more than that of objects. Especially, the explanatory variables are highly intercorrelated which called multi-collinear data. Therefore, many methods have been developed to analyze multi-collinear data, such as variable selection methods, ridge regression, principal components regression and partial least squares regression.

当要同时建立多个解释变数与反应变数间的关系时，最简单的方式是以复回归来处理，但是当解释变数数目远多於样本数，或者变数之间具有高度相关性时，会使得回归系数的估计变得不稳定甚至无法求得，这样的资料又称为共线性资料，在面临这样的资料时可以利用变数选取的方式降低资料组的维度，或者以脊回归、主成分回归及净最小平方回归等方法来灭种共线性的干扰。

And the use of linear time-structure optimal hyperplane method of implementation in the feature space for solving the optimal hyperplane.

然后利用线性可分时构造最优超平面的方法，在特征空间中实现最优超平面的求解。

First,a formula to calculate the normal vector of any hyperplane is given and a mixing matrix recovery algorithm based on the normal vector of any hyperplane is proposed.

首先给出了m维超平面的法矢量的计算公式，提出了一个基于超平面法矢量的矩阵恢复算法。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

This course provides:Simple linear regression and correlation,Measures of model adequacy,Multiple regression,Polynomial regression models,Variable selection and model building,Multicollinearity and Topics in the use of regression analysis.

其内容包括：简单直线回归与相关，模式正确性的衡量，复回归分析，多项式回归模式，变量的选择及模式建立，共线，回归分析应用上的注意事项等。

On the other hand, partial Least Square Regression which is called the second generation regression method has got good result in handling the multicollinearity in multilinear regression;But under some circumstances the result of such a regression is not satisfactory.

另一方面，偏最小二乘回归方法，被称为第二代回归方法，在处理线性回归中的多重共线问题时，有着较好的效果；但在有些情况下的回归结果却并不理想。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。