最小平方

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

The order and time delay of the dynamic model are assumed to be unknown a priori. A time-weighted digital filter is employed to group of linear algebraic equations. The moving horizon least-squares algorithm is then developed to estimate the model parameters in a recursive fashion.

该法应用一时间加权离散滤波器将特定时段内取样的输出入讯号转换成一实数，然后利用不同时段的量测讯号以移动区间递回最小平方演算法来估测模型参数。

Assignable cause. Critical value. Ordinary least squareestimate. Process capability index ...

Keywords：可归属原因临界值最小平方法制程能力指标工具汰换工具磨损。

Chapter 2 describes systematically the basic theory, the symbol error performance and the spectrum analysis of CPM.

第二章系统地描述了相位连续调制的基本理论、误码性能和频谱分析，介绍了决定系统性能的最小平方欧氏距离。

The estimators have all the nice properties of MLE and least square estimator, such as the asymptotic properties of MLE or those of a best linear unbiased estimator.

六、这个新方法同时具有极大可能性估计方法与最小平方估计方法的良好统计特质，例如极大可能性估计方法的渐近收敛性质和最小平方估计方法的最佳缘性不偏特性。

In the past, the high frequency resonance technique is usually applied in the envelope detection for a vibration signal with amplitude modulation. When applying the Hilbert transform in the high frequency resonance technique for the envelope detection of vibration signals, the computing burden is very high. On the other hand, when applying the linear least squares analysis method, the computing burden is lower. When applying the envelope detection in the lowest vibration mode, an accelerometer with the low-pass filtering cutoff frequency at 4kHz should be choose.

在过去的研究方法中，振动讯号之振幅调变通常以高频解调分析法应用於包络讯号侦测，而高频解调方法应用希尔伯特转换的包络分析，所需要的计算量是非常的高，若以线性最小平方分析法应用於高频解调分析法中，则所需要的计算量较小，如果以最低模态来估测包络讯号时，可以适当的选取加速规来代替低通滤波器，而加速规的截止频带必须在4kHz左右。

The stopband error of prototype filter is used to be the objective function for optimization. Instead of the method of least square approximation, this paper introduce the method of best uniformity approximation.

选择低通原型滤波器最大阻带衰减为优化的目标函数，通常的优化目标函数选用最小平方逼近的方法，本文提出了使用最佳一致逼近的方法。

On this basis, we consider a class of suboptimum detectors for the asynchronous SSMA system whose decision algorithms consists of a linear transformation followed by a set of threshold devices.

在此基础上，针对随机多址扩频通信系统的情况，分别提出了两种线性检测器—最小均方误差检测器和加权最小平方检测器，以及一种非线性检测器—判决反馈检测器，给出了它们的实现原理和方法。

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。

Because linear methods are not sufficient to analyze the data with nonlinear patterns, the nonlinear methods KMSE and KFD are hence developed from MSE and FLD, respectively.

由於这两种方法都是线性分类方法，为了能够处理蕴含非线性特徵的实例，因此从最小平方误差法衍生出以核心函数为根基的核心最小平方误差法，另外也从费雪线性区别衍生出以核心函数为根基的核心费雪区别。

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。