In the fields of chemistry and chemical engineering, most of the data mining problems are actually "ill-posed problems" .
化学、化工领域中多数数据处理问题属于数学中的“不适定问题”(ill-posed problem),而传统的化学计量学算法如线性和非线性回归,人工神经网络等忽略了这一特点,将其作为“适定问题”(well-posed problem)求解,是引发数据处理中“过拟合”问题的重要原因。
A regularizing Lanczos method is presented for the solution of the linear ill-posed problem.
本文将该问题离散化为欠定线性不适定问题,提出求解欠定线性不适定问题的正则化L anczos方法。
Sideways heat equation is a typical ill-posed problem.
热传导终端反问题是典型的不适定问题,应用基于全变差的正则化方法来获得它的稳定数值解,将近似解的求解范围由连续函数空间扩大到了有界变差函数空间,并将固定点迭代法用于求解非线性的Euler方程,并进行了理论分析和数值实验。
The Regularization Theory for Ill-posed Problems and Application;
不适定问题的正则化理论及其应用
The canonical TSVD method is a good regularized method for solving linear ill-posed problems, and we adopt the bisection method with inverse iteration to effectively realize canonical TSVD method.
典则TSVD方法是求解线性不适定问题的一个好正则化方法,而采用二分法结合反迭代法能有效数值实现典则TSVD方法。
Theoretically,canonical truncated singular value decomposition(TSVD) is considered a good regularization method in solving ill-posed problems.
典则TSVD方法是求解线性不适定问题的一种很好的正则化方法。
The Wellposedness of Cauchy Problemin Generalized Co-Semigroup;
广义抽象Cauchy问题的适定性
Well-posedness and Uniqueness for Some Optimization and Approximation Problems;
若干优化与逼近问题的适定性与唯一性研究
Cauchy Problem for Maxwell-Ohm System with Piecewise Constant Coefficients
分块均匀介质中Maxwell-Ohm方程组Cauchy问题的适定性
Well-Posedness of a Coupled Problem of Local Submodel with Linear Boundary Conditions;
具有线性边界条件的局部子模型的耦合问题的适定性
Well-Posedness and Regularity of Boundary Vaule Problem for a Class of Second Order Degenerate Elliptic Equations;
一类退化二阶椭圆型方程边值问题的适定性及解的正则性
LP-Well-posedness of Several Classes of Constrained Variational Inequalities Problems;
几类约束变分不等式问题的LP-适定性
On Properly Posed Sets of Nodes for Multivariate Graded Interpolation
关于多元分次插值适定性问题的研究
Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
向量平衡问题的Levitin-Polyak适定性
Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-Posed Problems
求解非线性不适定问题的隐式迭代法
In this paper, we give the definition of strong well-posedness for constrained optimization problems.
给出约束最优化问题的一个强适定性定义。
On the Applicable Problems of the International Tax Agreement with the Transnational Electronic Commercial Affairs;
跨境电子商务国际税收协定适用问题——对所得定性问题的思考
Strichartz Estimates and Well-Posed Problems for Nonlinear Wave Equation;
Strichartz估计与非线性波动方程的适定性问题
Application of Fourier Analysis in Well-posed BCL System;
Fourier分析在BCL方程组的适定性问题中的应用
Research on Adaptability of BOM in the Environment of Mass Order;
大规模定制环境下BOM的适应性问题的研究
Stabilization and Research of Adaptive Control Problems of General Nonlinear Systems;
一般非线性系统的镇定与适应控制问题研究
Several Type of Iterative Methods for Solving Nonlinear Ill-Posed Problems
求解非线性不适定问题的几类迭代方法
Research on Spline Interpolation Poisedness and Interpolation Approach Problems;
样条插值适定性与插值逼近问题研究
Stable Algorithms Design and Application on Ill-Posed Problems;
不适定问题的稳定化算法设计及应用