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This method doesn't require differentiable function, and has the advantage of faster convergent speed, the ability of optimization within global scope and the independence between eventual optimized paramaters and initial SVM paramaters.

该方法降低了对性能函数连续且可微的要求，收敛速度快，最终优化解与支持向量机的参数初始值无关。最后，通过仿真实验表明了该方法具有更高的分类和回归准确率。

In our results, we do not require activation functions to be bounded,differentiable or strictly increasing.

同已有的结果相比，我们不要求函数有界，可微或严格增加等条件。

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。

By automatically selecting the optimal diffusion constant and iterative number, the filtering process is totally automatic and does not require any operator assistance and the diffusion is suppressed or stopped at boundaries and edges and small structures are retained.

正是在这样的背景下，本研究针对计算机集成相控HIFU治疗计划中的两项关键技术：序列医学断层图像的分割及其体视化技术，进行了理论研究和算法的设计。

Many business applications (for example, the video advertisement) require the monitor of the digital video.

很多商业应用要求能对数字视频的使用进行监控，这也需要用到视频的数字水印技术。

Digital communication pertaining to a transmission technique that does not require a common ''.

有关传输技术的，在通信装置之间不需要一个共同的''。

In addition, some patients may require dilatation of an anastomotic or a chemoradiation-induced stricture.

另外，一些患者可能需要对吻合口狭窄或化放疗引起的狭窄施行扩张术。

Dimensionless quantities in physics are those that require no unit.

物理学中无量纲的量就是不需要单位的量。

Diogenes held that the good man was self-sufficient and did not require material comforts or wealth.

的 提奥奇尼斯认为好人是自给自足的，不需要物质享受和财富。

This algorithm takes account of all the constraints of the control signals and their increments. It does not require solving the Diophantine equation, and needs only small computer memory. Furthermore it weakens the coupling of the variables.

该算法充分考虑了控制输入及其增量受约束的情况，而且不必求Diophantine方程，减小了计算量，且削弱了变量之间的耦合程度。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。