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We introduce the basic concepts needed to analyze the estimation error in VC theory by showing the connection between Empirical Risk Minimization consistency and uniform convergence and illustrate necessary and sufficient conditions for the consistency of the ERM principle, that is for the convergence of the minimum of the empirical risk to the minimum of the expected risk.

为了整合最小化经验风险和最小化期望风险理论,我们将藉由最小化经验风险(Empirical Risk Minimization, ERM)及统一收敛性举例说明原理的必要与充份条件,以分析VC计算理论的误差估算所需的基本概念。

When the system dynamic analysis of running mechanism of GA is applied, the constringency of GA can be discussed when mutation operator is omitted.

这种不完善主要表现在没有完整的理论解释算法的机理,缺少广泛而完整的有关遗传算法收敛性理论。

By fully exploiting the NLMS algorithm's robust behavior on convergence rate, complexity and stability, the proposed scheme is capable of performing an adaptive receiver with its low cost in terms of training bits.

该接收机充分利用自适应NLMS算法在收敛性、复杂度及稳定性方面的综合优势,以较小的训练开销实现了自适应接收机的功能。

Based upon the proposed approach the free vibration analysis of Euler beam with various typical boundary conditions is performed and the error and convergence behavior of the fundamental and second frequencies are studied in details.

针对常见的几种典型边界条件的Euler梁自由振动问题,详细分析了前两阶频率的误差和收敛性。

This text gives a research on some certain convergence in locally convextopological space, and a discussion on compactness of the sequence andCauchy sequence.

然后,文中对某种确定的收敛下的局部凸拓扑空间进行了研究,并对序列的致密性, Cauchy列进行了探讨。

In chapter 3,we establish convergence theorem under Ostrowski-Kanorovich condition for Newton-like method by using majorizing method.

第三章:通过运用优函数的方法,建立了Newton类迭代法在Ostrowski-Kantorovich条件的收敛性定理,并给出了相应的误差估计。

At the same time, another algorithm was extended for solving the problem that sub-task can be divided, and the convergency and time complexity were also given.

同时,针对子任务可分的情况,给出了另一种扩展的算法,并证明了算法的收敛性,给出了算法的时间复杂度。

Firstly, we adopted it to estimate the parameters in multicollinear linear regression model and proved the convergency of the algorithm.

文中提出一种病态分离的交互投影算法,用该算法对复共线的一般线性回归模型作出参数估计,并证明了算法的收敛性。

The decomposition method provides the solution in a rapidly convergent series with components that are elegantly computed.

分解方法的特点在于所得到的解为级数形式,不仅具有很好的收敛性而且容易计算。

Then for general convex programming problem with linear constraints, we developed affine scaling algorithm and prove its convergences.

接着我们对一般的线性约束下的凸规划问题,给出了相应的仿射尺度算法,并证明了算法的收敛性。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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