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1)  hierarchical partial least squares regression
递阶偏最小二乘回归
1.
In view of this fact and considering the advantages of hierarchical partial least squares regression(Hi-PLS) in building a regressive model in the condition of a large number of variables,an application of Hi-PLS to aircraft development cost prediction is proposed using the development cost prediction of a fighter plane fuselage as an example.
分析了飞机研制费用样本数据少、费用驱动因子众多的特点,考虑到递阶偏最小二乘回归(Hi-PLS)方法在变量规模巨大情形下进行回归建模的优势,应用递阶偏最小二乘回归方法对飞机研制费用进行预测。
2)  partial least square regression
偏最小二乘回归
1.
Partial Least Square Regression and Its Application to Selecting Mine Efficient;
偏最小二乘回归在选矿效益建模中的应用
2.
Development of naphtha dry point soft sensor by adaptive partial least square regression;
基于自适应偏最小二乘回归的初顶石脑油干点软测量
3.
The partial least square regression model for predicting copper biological toxicity.;
预测铜生物毒性的偏最小二乘回归模型
3)  partial least squares regression
偏最小二乘回归
1.
Fault diagnosis of excavator hydraulic system based on partial least squares regression;
基于偏最小二乘回归的挖掘机液压系统故障诊断
2.
Two-stage partial least squares regression for constructing radial basis function networks;
基于分级偏最小二乘回归的径向基函数神经网络
3.
Model of simple partial least squares regression and its application;
单因变量的偏最小二乘回归模型及其应用
4)  partial least-squares regression
偏最小二乘回归
1.
Application of partial least-squares regression in rubber formulation;
偏最小二乘回归方法在橡胶配方设计中的应用
2.
Using uniform design and partial least-squares regression to prepare hypertonic emulsifiable concentrates;
均匀设计及偏最小二乘回归法在高渗乳油研制中的应用
3.
Application of partial least-squares regression in forecast of warship maintenance cost;
偏最小二乘回归在舰船维修费用预测中的应用
5)  partial least squares
偏最小二乘回归
1.
The partial least squares method can easily solve the multiple correlated problems.
应用偏最小二乘回归技术建立pH值预测模型,克服了自变量之间多重相关性的问题,因而更具有先进性,计算结果更为可靠,而改进的偏最小二乘回归则从预测角度对偏最小二乘回归模型进行了改进。
2.
Considering chaotic time series multi-step prediction, Multi-step direct prediction model based on partial least squares (PLS) is proposed in this paper, where PLS, the method for predicting a set of dependent variables form a large set of predictors, is used to model the dynamic evolution between the space points and the corresponding future points.
针对混沌序列局域一阶多步预测问题,提出了基于偏最小二乘回归的混沌时间序列局域直接多步预测模型,偏最小二乘用于混沌时序重构相空间中演化轨迹前后相点信息间的建模。
3.
During this course, in order to cope the disadvantage effection brought by the serious correlativity of parameters, the authors proposed to bring a new mathematical models: partial least squares (PLS), and finally got a good result.
为克服各参数之间强相关性的影响,引入了偏最小二乘回归(PLS)方法,取得了较好结果。
6)  partial least-square regression
偏最小二乘回归
1.
The multiple-colinearity among economic factors influencing load is judged and the effect of multiple-colinearity is weakened through partial least-square regression.
为此,判断了影响负荷的经济因素之间存在的多重共线性,用偏最小二乘回归方法消除其共线性影响,并建立了预测模型。
2.
Analyze the status of the maintenance support cost in life cycle cost of the weapon system,calculate the main- tenance support cost based on partial least-square regression,and then count the relativity of all-component cost of the weapon system by Variable Importance in Projection.
分析了武器装备维修费用在其全寿命费用中的地位,利用偏最小二乘回归方法计算维修保障费用,应用变量投影重要性分析计算武器装备各组成费用的相关性。
3.
Parameters of aircraft effectiveness is analyzed,and a new effectiveness forecasting method based on partial least-square regression is proposed.
通过实例与神经网络法的结果进行了比较,结果表明偏最小二乘回归更精确和简单。
补充资料:非线性最小二乘拟合
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性质:用最小二乘法拟合非线性方程。有些变量之间的非线性模型,通过变量变换可以化为线性模型,此称为外在线性。而有些变量之间的非线性模型,通过变量变换不能化为线性模型,通称为内在非线性。对于非线性模型y=f(ξ,θ)+ε,其残差平方和。S(θ)是θ的函数,当模型关于θ是非线性的,正规方程关于θ也是非线性的。基于使残差平方和s(θ)达到极小的原理求出θ的估计值,拟合非线性回归方程。

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