regularization method meaning in English

正则化方法

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Based on tikhonov regularization method and considering sufficiently the practice of geodesy , the main thread of the choice of the regularizer and the determination of the smoothing parameters is grasped and the in - depth research on the ill - posed problems in geodesy is carried out . a framework of the theory and methods of systematically processing the ill - posed problems has been established and tikhonov regularization method has been evolved in this paper
本文基于tikhonov正则化方法和欧吉坤研究员提出的选权拟合的研究思路，充分考虑大地测量实际，抓住正则化矩阵的选取和正则化参数的确定这条主线，对大地测量中的不适定问题进行了深入研究，建立起了一套较系统的不适定问题处理理论及方法的框架，进一步发展了tikhonov正则化方法。
On one hand , from the technique of constrained least squares and limited energy of additive noise , an effective restored approach by adopting regularization method to overcoming ill - posed problem , solving an equation with a single variable , and using space iterative algorithm is proposed ; on the other hand , aiming at the restoration of blurred image , another effective restoration approach based on least - square algorithm is also proposed in this paper . this method firstly adopts increment iterative algorithm to improve convergence and meanwhile applies regularization technique to overcome ill - posed problem . in the computations , the regularized parameter has its adaptive character , which can be determined in terms of the restored image at each iteration step therefore automatically correct to the appropriate value
一是从约束最小二乘出发,在加性噪声能量有界的前提下,采用正则化方法来克服病态问题,通过解一个单变量方程,并利用空域迭代运算实现了一种有效的图像复原;二是针对模糊图像的复原问题,从最小二乘算法出发,采用增量迭代的方法改善算法的收敛性,同时结合正则化技术克服问题的病态性质,并引入自适应的正则化参数,使其与图像复原的迭代运算同步进行并自动修正到最优值。
In this article , we will discuss the ways of how to get their stable numerical solutions , in which the continous and discrete regularization method , with and without knowing the error level 6 of input data , are presented and a regularization strategy based on linear approximation for identifying the nonlinear source term is also given
本文将讨论获得其稳定数值解的计算方法，包括在原始数据的误差水平已知和未知情况下的连续正则化与离散正则化方法以及识别非线性源项的基于线性逼近的正则化策略等。
The emphasis on the applications of constrained regularization method is the identification of weight density distribution of hanging cable and rotating shaft , inversion of particle size distribution from light scattering data , the reconstruction of the atomatic radial distribution in exafs spec - troscopy
其中，我们的重点是约束正则化方法在悬索与旋转杆的重力密度识别、颗粒粒径分布的光散射反演、 exafs光谱学中原子径向分布的重构等问题中的应用，并同时进行了数值试验。

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regularization method meaning in English

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