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1)  Least absolute deviation
最小一乘
1.
A method of target detection in infrared image sequences is proposed based on the least absolute deviation background predication.
本文提出了一种基于最小一乘背景预测的红外小目标检测算法。
2.
The least absolute deviations are using widely used in engineering because of it s robustness,but the algorithm solving the least absolute deviation is not efficient.
最小一乘在稳健性上比最小二乘好,使得最小一乘在工程中得到广泛的应用,但求解最小一乘的算法并不理想;本文根据最小一乘的性质,把最小一乘问题变为组合优化问题。
3.
The least absolute deviation criteria is widely used in engineering because of its robustness, but the algorithms for solving the least absolute deviation estimate of the regression coefficient are too explicated or only efficient for small sample points and variables.
最小一乘准则由于其稳健性较好而在工程中得到广泛的应用,但求解最小一乘回归模型系数的算法往往过于复杂或只能用于样本和变量个数较少的情形。
2)  least absolute deviation
最小一乘法
1.
Appling least absolute deviation to calculate variable parameter of differential equation,robust grey model RGM(1,1) has been set up and used to forecast the settlement tendency of building.
最小一乘法应用于微分方程变量参数求解,建立稳健灰色模型RGM(1,1),并将其应用于建筑物沉降预报和比较。
2.
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
3)  least absolute deviation method
最小一乘法
1.
By using the principle of least absolute deviation method, we will give a new priority method—least logarithm absolute deviation method.
利用最小一乘法原理 ,在层次分析中提出了一种新的排序方法——对数最小一乘法 ,并将其转化成线性规划问题求解 ,证明了对数最小一乘法的一些性质 。
4)  least absolute value
最小一乘法
1.
On the basis of accumulated generating operation, this paper establishes a grey model of WGM (1, 1, λ, △tk) for unequal gap and proposes least absolute value for estimating parameters.
在加权累加生成的基础上,建立了非等间隔的灰色WGM(1,1,λ,△tk)模型,提出了模型参数估计的最小一乘法,给出了求解最小一乘法的小生境遗传算法。
2.
In order to improve the precision of forecasting model, this paper studies optimal method for estimating parameters in predicting model from several sides ,and develops the method of discount least absolute value that is used as constructing general regressive forecasting model by the use of Euclidean distance.
为提高预测模型的预测精度 ,从几个角度研究了预测模型中参数估计的优化方法 ,并利用欧氏空间的距离将建立趋势预测模型的折扣最小一乘法推广到建立一般因果关系的回归预测模型 。
5)  Least one-power
最小一乘方
6)  least-absolute criteria
最小一乘准则
1.
The least-absolute criteria can overcome the drawbacks of least-square criteria,but how to design and implement a regression algorithm based on it is a difficult problem.
最小一乘准则虽然克服了最小二乘准则的不足,但如何在其基础上建立与实现回归算法一直是一个难题。
2.
Five theorems about the properties of the linear regress model based on least-absolute criteria (LRMLAC) are proposed.
文中首先证明了“由“最小一乘”准则确定的直线y=b1x1+ b2x2经过其两个样本点”以及“由最小一乘准则确定的直线y=b1x1+ b2x2+a经过其三个样本点”。
3.
Aimming at the disadvantages of weak generalization ability that exists in most of the current regression functions,combining with the research achievement of statistic learning theory,the paper proposes the optimal regress model based on least-absolute criteria,or LaOR model.
目前回归函数中普遍存在的泛化能力得不到保证的缺点,结合统计学习理论的研究成果,建立了基于最小一乘准则的最优回归模型(LaOR模型)。
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。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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