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Finally the terminal rule of Genetic Algorithms has been proposed and the implementation of random number maker has been presented. Developed a genetic algorithms based system identification technique. Using this technique globally optimized models for linear and nonlinear system can be identified without the need of a differentiable cost function or linearly separable parameters.

然后提出了一种基于遗传算法的模型降阶方法,可一致地应用到连续系统和离散系统的模型降阶;最后提出了一种基于遗传算法的多目标通用控制器设计方法,可以满足不同的控制策略,而不是某一种特定的控制策略,计算机仿真结果充分验证了方法的正确性和有效性。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一,然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点,因此,本研究提出一个梯度预测搜寻法则(gradient forecasting search method, GFSM)来改善传统梯度法的缺点,用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性;而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素,传统统计为基础之预测方法的缺点是需要较大量的数据进行预测,因此计算复杂度高,灰色预测模型具有建模资料少且计算复杂度低等优点,然而灰色预测理论以连续之微分方程式为基础,并且透过一些数学上的假设与近似,将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测,这样的作法不尽合理,且缺乏数学理论上的完备性,因为在转换过程中已经造成建模上的误差,且建模过程仅考虑相邻的两个资料点关系,无法正确反应数列未来的变化趋势。

In addition, the application of this diffusion and transport model is verified with experimental and engineering data.

经过工程实验验证,证明了改进后的氯离子扩散迁移模型的正确性和合理性。

The availability of this approach is validated by digital simulation results of recognition.

数字仿真的识别结果验证了该方法的正确性和有效性。

The availability of this control method is verified by digital simulation.

数字仿真验证了该控制方法的有效性和正确性

The results of digital simulation verify the feasibility and correctness of the proposed control scheme.

仿真分析验证了本文所提出的控制算法的正确性和有效性。

The validity and superiority of the proposed control scheme were verified by digital simulation and experimental results.

数值仿真和实验验证了所提控制方案的正确性和优越性。

The model is verified by digital simulation results.

数字仿真结果验证了所建模型的正确性

It is generally considered that the experimental results of time dilation are the important evidences of the special relativity correctness.

现在人们普遍认为,时间膨胀的实验结果是验证狭义相对论正确性的重要证据。

Based on this extended directed graph, an algorithm for creating it is proposed, the time complexity analysis of the algorithm is given, and its correctness is proved.

基于这种扩充有向图,提出了一种对象范式生成算法,并给出了算法的时间复杂度分析和正确性证明。

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