多尺度几何分析旨在构建最优逼近意义下的高维函数表示方法。
The aim of Multiscale Geometric Analysis is to find a kind of optimal representation of high dimension function in the sense of nonlinear approximation.
曲波变换是一种新的多尺度变换理论，具有各向异性的特征，可以很好地逼近含线奇异的高维函数。
Curvelet is a new multiscale transform theory, which has the characteristics of anisotropy. It can approach a high dimensional function containing line singularity better.
针对基本粒子群优化算法对高维函数优化时搜索精度不高的缺陷，提出了一种动态粒子群优化算法。
To improve the search quality of the standard PSO algorithm for solving high-dimensional function, a dynamic particle swarm optimization algorithm is proposed.
实验结果表明，与文献算法相比，该算法在处理高维函数优化时具有更强的寻优能力和更高的搜索精度。
Simulations show that proposed algorithm has more powerful optimizing ability and higher optimizing precision in high-dimensional function optimization than literature algorithms.
对于线性不可分的样本空间，需要寻找核函数，将线性不可分的样本集映射到另一个高维线性空间。
As for the undivided linear sample space, the kernel function is needed to map onto another high dimension linear space.
桁架拱结构是一个高次超静定的复杂三维结构，构件的功能函数没有明确表达式。
The truss arch structure is a three-dimensional higher statically indeterminate structure, and no definite expression of the performance function can be given for its unbelievable complexity.
对于高维复杂函数，传统的确定性算法易陷入局部最小，而单一的全局随机搜索算法收敛速度慢。
For complex functions with high dimensions, canonical optimization methods are easy to be trapped in local minima and simple random search methods are slow on convergence.
但在处理高维的具有太多局部最优前沿的多峰函数时极易陷入局部最优前沿。
But as to high-dimension functions with too many local Pareto optimal fronts, it traps in local Pareto optimal front easily.
通过混合使用多种杂交算子并辅之以间歇变异，提出了一种求解高维复杂函数全局优化问题的新型演化算法。
A new evolutionary algorithm based on hybrid crossovers and intermittent mutation for global optimization of complex functions with high dimensions is proposed.
对于高维复杂函数，一般粒子群优化算法收敛速度慢，易早熟收敛。
For complex functions with high dimensions, general particle swarm optimization methods are slow speed on convergence and easy to be trapped in local optima.
所接收的混合信号首先被映射到高维的内核特征空间，和由内核特征空间上的适应度函数给出的特征矢量的基础构造。
The received mixing signals are first mapped to high-dimensional kernel feature space, and a feature vector basis given by the fitness function of the kernel feature space is constructed.
针对粒子群算法用于高维数、多局部极值点的复杂函数寻优时易陷入局部最优解现象，提出一种改进的带扰动项粒子群算法并进行收敛性分析。
Traditional particle swarm optimization(PSO) algorithms often trap into local minima easily when used for the optimization of high-dimensional complex functions with a lot of local minima.
实验结果表明，在处理高维单模函数时，SPCEP的性能比CEP和SPMEP有显著的提高。
Simulation results show that SPCEP is obviously superior to classical CEP and SPMEP for high-dimensional functions.
在这篇文章中，我们得到了非线性函数在无穷远处超线性增长时一类高维半线性双曲方程的整体精确能控性。
In this paper, we obtain the global exact controllability for a class of multidimensional semilinear hyperbolic equations with a superlinear nonlinearity.
高维复空间中内函数的存在性及其性质是多复变函数研究的一个重要内容。
On R-W Polynomials and Existence of Inner Functions in the Classical Domains;
高维复空间中内函数的存在性及其性质是多复变函数研究的一个重要内容。
On R-W Polynomials and Existence of Inner Functions in the Classical Domains;
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