In this thesis, we introduce some mathematical techniques in harmonic analysis and the regularization theory to solve this problem.
在这篇论文中，我们将引入调和分析和正则化理论中的一些数学技巧来解决这些问题。
The popular art, on the contrary, is opposed to the above-mentioned esthetic theory, and to the theory of restriction in the name of regularization.
大众艺术则反对这样的“美学”，甚至反对任何一种企图借“规范”之名施“约束”之实的理论。
In the first chapter, we present the basic notion and some applications of inverse problems. We also summarize some important regularization methods.
第一章介绍了反问题的基本概念及其应用领域，并总结了一些基本的正则化方法。
We use Coase's interactive method, the theory of institutional change and groups'game to demonstrate the importance and possibilities of regularization of informal finance.
本文采用科斯的交互分析方法、制度变迁理论以及利益集团博弈论论证了非正规金融正规化的重要性与可能性。
Bayes' regularization raises the ability to extend of BP neural network.
贝叶斯正则化方法提高BP神经网络的泛化能力。
Hence, the regularization is biased and tend to penalize features in smaller scales.
因此，正则化是有偏的，并且趋向于在更小尺度上惩罚特征。
The algorithm adopts 1-norm to measure data approximation item and regularization item.
用1-范数度量数据逼近项和正则项。
Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.
基于同伦映射的思想，改进了求解非线性反问题的梯度正则化算法。
An algorithm with regularization constrains for nonnegative matrix factorization (RCNMF) is proposed.
提出一种带有正则约束的非负矩阵分解算法(RCNMF)。
The contents and steps about standardization and regularization of product are studied in this paper.
介绍了产品标准化与规范化的内容及工作步骤。
A set of local interaction field and adaptive regularizers are introduced to usual regularization theory.
在标准正则化理论中建议一类局部相互作用场和自适应正则项。
This thesis analyzes the theoretics of a space-adaptive regularization method for blind image restoration.
对空间自适应正则化图像盲复原方法的理论和相应算法进行分析。
A new framework of mollification methods based on L-generalized solution regularization methods was proposed.
基于L -广义解正则化理论，提出了一个新的磨光方法的框架。
Finally, by the method of energy estimation, a long time behavior of the solution of regularization is studied.
最后，应用能量估计方法，研究了正则化解的长时间行为。
By apriori choosing regularization parameter, optimal convergence order of the regularized solution is obtained.
通过适当选取正则参数，证明了正则解具有最优的渐近收敛阶。
The numerical methods and the regularization methods for inverse problem ofbioelectromagnetic field are studied.
生物电磁逆问题的数值计算与适定化方法研究。
Considering the regularization effect of homotopy parameter, we adopt a two-step update scheme of homotopy parameter.
同时在分析了同伦参数正则化效应的基础上，提出一种两段同伦参数修正方法。
Ideal experiments are also conducted to verify the effect of the regularization method on variational data assimilation.
并通过数值试验进一步肯定正则化理论在资料同化中的作用。
The spherical harmonic coefficients of the gravity field can be obtained from gravity gradients through regularization scheme.
重力场球谐函数系数可以通过正则化方法由重力梯度算出。
Using RBF (Radial Basis Function) network as the soft-sensing model, its natural to introduce regularization learning algorithm.
以径向基函数神经网络作为软测量模型，在软测量建模中引入正则化学习算法。
The method, based on nonlinear integral equation, is used to solve for the formation conductivity profile by using regularization.
该方法基于非线性积分方程，用正则化方法求出电导率分布。
Based on the framework of regularization variation, we proposed a superresolution algorithm of SAR image targets using variable norms.
基于正则化变分的框架，提出了SAR图像目标超分辨的变范数算法。
This paper establishes dynamic forward feedback correction model with the method of combining Bayes regularization and BP neural network.
文中采用贝叶斯正则化与BP网络结合的方法，建立动态前馈校正模型。
In this thesis, the regularization algorithm is applied to the analysis of thin-walled structures in tow-dimensional elasticity problems.
本文深入研究了正则化算法在二维弹性薄壁结构中的具体应用方案。
In this paper, a new stable band -limited signal regularized extrapolation algorithm is constructed on basis of the maximum regularization.
基于最大熵正则化构造了一种新的稳定的带限信号正则外推算法。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
The mathematical solution for ill-posed problems is regularization. The computational foundation for deformable models is just regularization.
数学上解决病态问题的方法是正则化，可形变模型的计算基础即是正则化。
The existence and stability of the optimal control is established based on the parabolic regularization method and the weak convergence technique.
用抛物正则化方法和弱收敛技巧，证明了最优控制的存在性和稳定性。
The existence and stability of the optimal control is established based on the parabolic regularization method and the weak convergence technique.
用抛物正则化方法和弱收敛技巧，证明了最优控制的存在性和稳定性。
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