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The application of an algorithm based on weighted least squares estimation method measuring and computing parameters of synchronous machine is studied,these parameters can be directly obtained by repeatedly p...

针对参数辨识的收敛性和多值性问题，提出了一些有效的方法，如采用动态阻尼因子和动态增益矩阵，提高了参数辨识的精度和算法的稳定性。

According to the criterion of minimizing the sum of the squares of the states posterior confidence region widths, we get the value of the updated Biscay distribution, then get the states interval estimation.

该方法结合了区间运算和Kalman滤波方法，分别根据状态和观测方程得到的预测值的Biscay分布，融合得到估计的Biscay分布值，进而得到状态的区间估计。

We show that under appropriate conditions,the SCAD-penalized least squares estimator is consistent for variable selection and that the estimators of nonzero coefficients have the same asymptotic distribution as they would have if the zero coefficients were known in advance.

在一定的条件下，我们证明了SCAD惩罚最小二乘估计的变量选择具有相合性，并且得到非零系数的估计与零系数已知情况下的估计具有相同的渐近分布。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

Making use of the continuity of the shape function of moving least squares methods, this scheme can obtain fine fitting results and achieve multi-level continuous range image surface fitting, which are convenient for calculating surface characteristics of range image.

该方法充分利用最小二乘法形函数多阶连续的特点，能够保持在较高拟合精度的前提下获得深度图像曲面多阶连续的拟合结果，这种拟合结果为计算深度图像的曲面特性提供了便利。

This approach was to replace the derivative operator in the continuous time model by an approximation and estimation of the physical parameters of structures by the least-squares method.

讨论了导数近似值的选择方法，并分析了算法的收敛性。

Keywords Closed convex cone;gradient projection method;Least-squares solution;Inverse matrix problem;Inverse eigenvalue problem;Matrix completion problem;Optimal approximation

Article From 湖南大学；应用数学博士论文 2005年度闭凸锥；投影梯度法；最小二乘解；矩阵反问题；矩阵逆特征值问题；矩阵完全化；最佳逼近

In compressive sensing, the familiar least squares optimization is inadequate for signal reconstruction, and other types of convex optimization must be invoked.

在压缩传感，熟悉的最小二乘优化是不够的信号重建，和其他类型凸优化，必须援引。

In the roof reconstruction, a TIN-based region growing is applied to extract the roof planes. The coplanarity and adjacency between triangles are considered for TIN-based region growing. Then, a least squares regression is selected to determine the coplanarity function of planar segment.

在建物屋顶面重建中，使用建物轮廓线内部的光达点云进行屋顶面之共面分析，研究中使用三角网区域成长法侦测共平面之屋顶面，以相邻三角网法向量夹角做为共平面门槛，并以最小二乘法回归出屋顶面之平面，产生房屋模型。

The estimation bias is compensated by introducing a correction term in the recursive least squares estimate.

通过在递推最小二乘算法中引入一个修正项，补偿过程噪声引起的估计偏差。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。