查询词典 subgradient

Chapter 4 establishes the theory of convex fuzzy mappings: The concepts, such as Jensen's inequality, positively homogeneous, infimal convolution, right scalar multiplication and convex hull are introduced. The corresponding theorems are demonstrated by using the parametric representations of fuzzy numbers. In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved. The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.

在第4章中，建立了有关凸模糊映射的理论：建立了关于凸模糊映射的Jensen不等式、模糊正齐次映射、凸模糊映射的下卷积、右数乘和凸包等概念，利用模糊数的参数化表示，给出了相应的定理；在反模糊数空间，对凸模糊映射的共轭也作了探讨，证明了凸模糊映射的共轭集合和共轭映射都是凸的；最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。

An accelerated acoustic echo cancellation algorithm is proposed in this paper based on Parallel Subgradient Projection technique.

摘要该文在并行次梯度投影技术(Parallel Subgradient Projection，PSP)的基础上，提出一种加速回波抵消算法。

A surrogate subgradient with penalty function method is also used to solve unit commitment.

针对以上两点，分别提出了带惩罚项的伪次梯度法和启发式方法解决经济调度问题的两种新方法。

As the objective function is not strictly concave in the path rate, the penalty function method is applied to transform the primal problem into a new formulation to obtain the optimal solution based on the subgradient method. And the multiPath congestion control algorithm is also proposed.

由于多径效用最大化问题中的目标函数对路径速率而言不是严格凹的，所以运用罚函数法将此最大化问题转化成新的等价形式，再运用次梯度法获得了原问题的最优解，由此提出了用于Ad hoc网络的多径路由优化拥塞控制算法MPCC。

The general algorithm steps based on subgradient optimization mathematics method are presented.

建立了这类问题的数学规划模型，并采用拉格朗日松弛算法对模型进行求解，给出了次梯度优化求解算法的一般步骤。

Then subgradient projection is discussed to solve the image restoration problem with total variation constraint.

基于亚梯度投影算法的总变分约束图像复原和基于凸集投影算法的图像序列超分辨率。

A hybrid method based on differential evolution and subgradient optimization is used to solve the problem. It is found that the proposed method can find solutions better than the de facto commercial software LINGO.

在采用一种混合微分演化及次梯度优化法来解决此问题之后，实验结果发现这种混合法比业界公认的商业软体LINGO能够找到更好的答案。

Computational examples show that the modified subgradient optimization algorithm for Lagrangean relaxation can reduce the iterative steps obviously, and is proved to be efficient.

算法实例表明，改进后的拉格朗日松弛算法迭代步数显著减少，证明算法是有效的。

The Lipschitzian property of functions involved is researched. An approach of computing a subgradient of the objective functions of the problems is investigated. The basic idea and steps of the algorithm are discussed. Finally, the convergence analysis is given.

研究了模型构成函数的Lipschitzian性，给出了计算目标函数次梯度的方法，分析了算法思想、步骤，最后讨论了算法的收敛性。

In order to improve performances of computer communication networks, the important route selection optimization in computer communication networks is firstly studied in detail by using the modern metaheuristic search method, i. e., Tabu search, which is of great flexibility and came into use just a few years ago. Better results are obtained and compared with the traditional Lagrangean relaxation and subgradient optimization method. Especially, the superiority of this method over other algorithms is further shown in the case of very heavily loaded network. Thus, the new thinking and method are provided for the optimization theory of computer networks.

摘 要：为了改进计算机通信网络的性能，首次采用近年来才开始应用、且具有很强灵活性的现代超启发式搜索方法——Tabu搜索方法，对计算机通信网络中重要的路由选择优化问题进行了详细的研究，得到了比经典的拉格朗日松弛及子梯度优化方法更优的结果，尤其在网络负荷很重的情况下，与其它算法相比，更显示出该方法的优越性，从而为计算机网络的优化理论提供了新的思路和方法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。