查询词典 constrained minimization

A selection is made based on minimization of a distoration function between the new vector and the codebook.

在新矢量和码本之间可根据失真函数的最小值进行选择。

In the paper, the via minimization problem in multi layer routing with adjacent constraints is translated to a k colorable problem which has more general meanings, and a mean field annealing algorithm for the k colorable problem is proposed.

该文把具有相邻约束的多层通孔最小化问题转换为更具广泛意义的 k-着色问题，并提出了 k-着色问题的均场退火求解算法。

A class of conjugate descent algorithm with single parameter βk for unconstrained minimization problems is presented and it is proved that this algorithm is of descent feature when it satisfies the condi- tion of a sort of inexact linear searching and, in addition, it is globally convergent.

给出了无约束问题一族含有一个参数βk的共扼下降算法，证明了该共扼下降算法在满足一种非精确线性搜索条件时是下降的，而且是全局收敛的。同时可以看到共扼下降算法是其特例

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。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

This method not only reformulates CPs as a smooth minimization problem, but also avoids the inconvenience of adjusting parameters.

在某种意义上拓宽了研究互补问题的数值方法。

In this paper, the critical region minimization problem for channel routing is considered.

本论文中我们将考虑解决通道绕线危险区域最小化的问题。

In order to solve the theoretical backlash problem of the teeth, which is crucial to the number of actual contact pairs of teeth in the research on multi teeth contact of crown gear coupling , the theoretical backlash of teeth flank with the concept of backlash angle is first time defined and described in the paper, and the minimization model of its variables is set up.

为解决鼓形齿联轴器多齿接触研究课题中的实际接触齿对数的关键技术轮齿理论间隙的问题，首次用间隙角的概念对轮齿理论间隙作了定义和描述；建立了该变量的极小化模型；对一鼓形齿联轴器作了实际优化计算，得出了鼓形齿联轴器多齿接触研究中计算实际接触齿对数所需的不同啮合状态下的最小间隙角

Taking the minimization of the tooth crown of a worm wheel and the maximization of transmission efficiency and the distance from the center as objectives,we establish the mathematical model for the multi-objective optimal design of worm transmission on the condition that the worm wheel and the worm transmission meet the requirements for load,strength and others.

以蜗轮齿冠体积最小、传动效率最高和中心距最小为目标，在保证蜗轮和蜗杆满足承载、强度及其它要求的前提下建立蜗杆传动多目标优化设计的数学模型。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。