算法

Now the triangular mesh model simplification algorithm based on edge collapse is very complex.Combining Garland's quadric error metrics algorithm and Hoppe's progressive mesh algorithm,a new algorithm for triangular mesh dynamic model simplification based on cost function is proposed in this paper.

目前基于边折叠的三角网格模型简化算法边折叠计算复杂，没有有效进行动态简化，结合Garland的二次误差度量算法和Hoppe的累进网格算法，提出了基于代价函数的三角网格模型动态简化算法。

In order to overcome the problems of slow rate of convergence and falling easily into local minimum in BP algorithm, a new improved homotopy BP algorithm is put forward. It transfers the identity matrix of output mode in common use into the binary system.

为克服标准BP算法中存在的网络学习收敛速度慢、容易陷入局部极小等问题，引入同伦算法，提出了一种将同伦论与快速BP算法结合的改进算法，并采用二进制结构表示输出模式矩阵。

Two algorithms are put forward to solve the problem of on-board engine torque estimation, which is the key technology of Coordinated Control Algorithm. One is called the algorithm of engine torque estimation based on mean-value model and the other is called the algorithm of engine torque estimation based on instantaneous crankshaft speed.

在仿真研究的基础上，针对如何实现动态协调控制算法中的关键技术——发动机转矩在线估计提出了两种算法：基于发动机平均值模型的转矩估计算法和基于发动机曲轴瞬时转速的转矩估计算法。

This paper discusses the nonlinear inversion algorithms instructively andmainlystudytwokinds ofnonlinearinversionalgorithms: SimulatedAnnealingConjugate Grads and Artificial Neural Network Genetic Algorithms, these two methods can decrease the iteration times and avoiddroppinginto the local extremum, we do the model calculation and confirm thevalidityofthealgorithm.

对非线性反演算法进行了有益的探讨，主要研究了两种非线性混合优化反演算法：模拟退火共轭梯度混合反演和神经网络遗传反演算法，两种混合算法都达到了减少迭代次数、避免陷入局部极值的目的，并进行了模型试算，验证了算法的有效性。

Based on the basic principles of software design, with the help of Delphi software tool, an integer optimization software will be developed. With the help of this software, GA and its modified algorithms, binary combination algorithm and its modified algorithms will be used conveniently.

在分析提出软件设计基本原则的基础上，运用先进的Delphi软件开发工具，研制了窗口式可视化的整数优化系统软件，运用这些软件，可以方便地运用遗传算法及其改进算法、二进制组合算法及其改进算法进行优化。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

Modifications to the conventional layer by layer optimization method make it possible to avoid computing Hessian Matrix and its inverse form, thus it can decrease computational complexity dramatically. Simulation results for some practical problems such as function approximation and XOR problem, have demonstrated improvements over classical back-propagation algorithm and conventional layer by layer optimization algorithm.

本文在传统逐层优化算法上的改进避免了反复计算 Hessian 矩阵及其逆矩阵，因而可以减少计算量，对一些应用问题，如函数逼近、异或等问题的仿真实验证实了新的算法比经典的 BP 算法以及现存的逐层优化算法的训练速度更快、可靠性更好。

In the comparison experiments with genetic algorithm,immune genetic algorithm,basic particle swarm optimization algorithm and so on,IPSO performs well with best solution and fastest convergence speed.

在与遗传算法、免疫遗传算法、基本微粒群等算法的仿真比较试验中，该算法不仅搜索到了最好的近优解，而且收敛速度最快。

The convergence of the iterative algorithm is proved, and an analysis of the computational time is given.

该算法是一种迭代算法，证明了该算法的收敛性，并分析了该算法运算量。

Numerical experiments were conducted on real AVIRIS data to validate the effectiveness of the proposed algorithm. The detection results were compared with those detected by the classical RX algorithm and KRS which did not suppress the backguound information. The results show that the proposed algorithm has better detection performance, lower false alarm probability and lower computational complexity than other detection algorithms.

为了验证算法的有效性，利用真实的AVIRIS数据进行了实验研究，并与经典RX算法、未抑制背景的特征空间核RX算法的检测结果相比较，结果表明基于背景残差数据的检测算法具有良好的检测性能和较低的虚警，而且运算复杂度较低。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。