查询词典 constrained optimization

Secondly, a finite element method is used to approximate the constrained minimization problem, both existence of minimizer for cost functional in finite demensional space and the convergence of minimizer are proven.

然后利用有限元方法对上述定解问题进行离散，并证明了有限维空间上泛函的极小元存在以及有限维空间上的极小元收敛到无限维空间上的极小元。

The layer assignment, also called constrained via minimization, is to determine which layers can be used for routing the wire segments such that the number of vias can be minimized.

布局层指定是决定布局中各线段的布局层位置使得布局所产生的穿孔数能尽量少。

As for 3-layer constrained via minimization problem (3CVM), a heuristic approach on the basis of segment-crossing graph model is presented. Two types of algorithm, global sense and local sense are combined into our algorithm.

对三层布线的通孔最少化问题（3CVM），提出了一个启发式算法，以线段—相交图为模型，分总体优化和局部优化两步对三层详细布线进行通孔优化处理。

Thirdly, by applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

为了有效处理违反约束，这里还提出了在违反约束水平集的负法凸锥内构造水平集的法向修正速度的返回映射算法，它可以方便地处理多材料、多约束和含有非设计域的结构设计问题，使初值给定容易。

By establishing MINLP model, the computation of phase equilibrium is transformed into a constrained two-level minimization problem. On the inner level, equilibrium composition is computed; On the outer level, the optimum phase combination configuration is searched for. The whole solving process is achieved by Genetic Algorithm.

通过建立MINLP模型，将相平衡计算问题转化为有约束的双层最优化问题，内层用来计算给定相组合结构下的平衡组成，外层则是搜索最优的相组合结构，整个求解过程通过遗传算法来实现。

Our approach consists of the following steps: providing a sketch based mapping between the sources and the target; deforming the target based on the deformations of the corresponding sources by means of differential mean value coordinates; smoothing the deformed target with constrained minimization method to form a key frame of the target animation; and interpolating between key frames created from to produce a complete 3D animation of the target.

该框架由以下几个步骤组成：使用草图在源网格和目标网格间建立映射；使用非闭合网格均值坐标，根据源动画的运动风格来变形目标网格；对变形后的目标网格求解最小化约束函数以获取光滑的目标网格，从而生成目标动画的关键帧；对由产生的结果进行插值，产生完整的目标对象的三维动画。

By applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

这样就把材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题，这时材料界面的形状敏度就(来源：9aABb5C论文网www.abclunwen.com)是水平集的运动速度。

The paper studies on the method of traffic volume alteration fitted for Hebei provincial highway network ,carries on the modeling of the selection of flux observation point in OD back-stepping technique by the upper limit of maximum possible relative errors and the minimization of constrained domain,improves the precision of traffic volume alteration.

为研究适合于河北省公路网络的交通量更新方法，利用最大可能相对误差上限和约束域最小化对OD反推技术中的流量观测点选取进行建模，可提高交通量更新的精度，相关研究成果改善了河北省交通量预测模型，能很好地运用于河北省公路交通规划、管理和决策。

Image Processing Center, School of Astronautics, Beihang University, Beijing 100191 Image Processing Center, School of Astronautics, Beihang University论文摘要: Using hyperspectral images to detect targets, the classical detection algorithms mainly focus on the second-order statistics. For example, the popular Constrained Energy Minimization algorithm uses the data's correlation matrix to detect targets.

论文摘要：利用高光谱图像进行目标检测，传统的目标检测算法主要使用二阶统计量，例如国际上流行的约束能量最小化(Constrained Energy Minimization，CEM)算法使用数据的二阶相关矩阵来进行目标检测。

After reviewing lots of previous work on cell layout generation and standard-cell and BBL placement and routing technique, algorithms for transistor placement and intra-cell routing in cell layout generation, timing-driven standard-cell placement, multi-layer detailed area routing and multi-layer constrained via minimization are presented and implemented.

论文在较为深入研究和总结国内外有关单元版图自动生成及集成电路布局布线技术方面研究成果的基础上，对标准单元版图自动生成技术中单元内晶体管布局和单元内布线、时延驱动的标准单元布局、多层金属工艺的区域详细布线及多层布线通孔最少化进行算法研究、设计和实现。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。