We introduce and motivate the main theme of the course, the setting of the problem of learning from examples as the problem of approximating a multivariate function from sparse data-the examples. 我们介绍且激发课程的主题将朝向于实例学习法的问题设定,例如稀疏值中多变量函数近似的问题。
We got a new smooth function for approximating the plus function by interpolation base on smooth piecewise polynomial functions. 基于光滑的分段多项式函数和插值思想推导出一个新的光滑函数,从而可以更好地逼近正号函数。
A formulation of the stabilizing control law is obtained for control-affine driftless systems by means of approximating the value function of the performance index by a CLF. 采用CLF近似性能指标的值函数,获得了控制仿射无漂系统的镇定控制律表达式。
Moreover, since the accuracy of approximating the step function is increased by taking a fast filter function as the filter function, number of iterations of optimization solution is greatly reduced. 由于提高了对阶跃函数及其反函数的逼近程度,从而显著减少了优化迭代的次数。
The Application of Higher Moment in Approximating Probability Density Function 高阶矩在概率密度逼近中的应用
Wavelet neural networks, which basis functions are orthonormal scalling functions, are more suitable in approximating to function. 特别是,正交尺度函数为某函数的小波神经网络更适合于函数逼近。
Introducing the bi-orthogonal-wavelet-based waveform coding techniques in digital modulation, the dissertation proposes a modified method, where a bi-orthogonal scale function of approximating Gaussian function is used for waveform coding. 研究了数字调制解调中的波形成形技术,提出了采用双正交子波进行波形成形的思想,以利用双正交尺度函数内在的灵活性来逼近高斯函数,而获得好的时频特性;
Thus the authors use distributed polynomial with orthogonal characteristic for approximating displacement function of the beam; 利用正交特征分布多项式,逼近梁的位移函数。
Wavelet analysis can give more "sparse" expression than Fourier analysis in piecewise smooth signal or bounded variance function. New multiscale methods can give better performance in approximating multivariate function in high-dimension space than wavelet analysis. 小波分析比Fourier分析能更稀疏地表示一维分段光滑或者有界变差函数,而新的多尺度分析方法在高维空间中对多变量函数的稀疏表示具有较小波分析更好的逼近性能。
A fast learning algorithm of neural networks for approximating function 函数逼近神经网络的一种快速学习算法
A systematic algorithm for approximating the wavelet function and a example of calculation are gived. 提出了一种系统地逼近小波函数的算法,并给出了计算实例;
As an element of best approximation comparing with other approximating function, it gives the advantages and disadvantages of various functions. 运用对函数进行磨光法得到的具有二阶连续导数,作为原来函数f(x)的最佳逼近元,与其它的逼近函数进行比较,分析了各自的优缺点。
A new method of recognizing ECG P waves based on approximating function is presented in this paper. 提出了一种基于曲线拟合来识别心电图中P波的方法。
This paper presents a generalized fuzzy neural network that can realize the strategy about approximating a function using piecewise models. A generalized k-means algorithm is given. The number and parameters of fuzzy rules can be simultaneously obtained by the algorithm. 本文采用广义模糊神经网络实现分段建模的思想.给出了一种广义k-均值聚类算法,该算法能同时确定模糊规则的个数和相应的参数.仿真结果表明该算法是可行和有效的。
A discount function is defined, its property is studied and several methods of approximating to the function are discussed. 定义了一个贴现函数,对贴现函数性质进行了研究,讨论了逼近它的几种方法;
By mimicking the food hunting behavior of ant colony, this algorithm can search for the global optimal path by adopting the nearest-neighbor search strategy combining an approximating direction function used by multiple ant groups. 该方法模拟蚂蚁的觅食行为,由多组蚂蚁采用最近邻居搜索策略和趋近导向函数相互协作完成全局最优路径的搜索。
A new method of deriving magnetization curve of transformer& the approximating function optimization is presented to meet the requirement of using magnetic flux characteristic to discriminate the energization inrush current in transformer. 本文为适应利用磁通特性鉴别变压器励磁涌流的需要,提出了一种求取变压器磁化曲线的新方法&逼近函数优选法。
It is demonstrated by the example that the algorithm is simple, effective, low erroneous and can be applied to approximating the wavelet function with analytic expression or equal interval samples in time-domain. 计算结果表明,该算法简单、有效、误差小且适合于逼近具有时域解析表达式或给定了等时间间隔时域样点值的小波函数。
Three methods are discussed: using fixed probability density function, adaptive probability density function and approximating the score function. 本文讨论了三个方法:使用固定的概率密度函数,自适应的调节概率密度函数和逼近品质函数。
This paper deals the min max model and algorithm. A direct algorithm for min max problem with nonlinear constraints based on approximating function theory is presented. case study shows that the algorithm is efficient. 本文研究了MINMAX模型的算法,利用逼近论的思想提出了一种有约束的MINMAX模型的直接算法,并给出了应用实例。
In this paper, for the function of Chebyshev expansion, the approximating function having the approximant's order of Chebyshev polynomials is given by means of Faber mapping and quadratic Pad é approximation of power series, and it is also expressed by the fraction of Chebyshev polynomials. 对于具有Chebyshev展式的函数,文章利用Faber映射及幂级数二次Padé逼近,给出其具有关于Chebyshev正交多项式的逼近阶的逼近函数,并将其用Chebyshev正交多项式分式表示。
Approximating function and its derivatives by neural networks 用神经网络逼近函数及其导数
By employing fuzzy logic system with the properties of fully utilizing linguistic information from experts and approximating any continuous function with arbitrariness, the adaptive laws and state observers were synthesized for a class of nonlinear systems with uncertainties, the bounded functions of which were unknown. 利用模糊逻辑系统具有充分利用专家语言信息和逼近连续函数的性质,分析和研究了一类具有未知不确定界的非线性系统的自适应状态观测器设计问题。
Study of Structural Methods of Approximating Function of Tabulate Curves 列表曲线逼近函数构造方法的探讨
A new class of polynomials approximating a continuous function 连续函数的一类新的近似多项式
There are many structural methods on approximating function which have advantages and disadvantages. 逼近函数的构造方法较多,各有其优缺点。
In this paper, we contrast the wavelet neural network and BP network in approximating nonlinear function, and the results indicate that the rate of convergence of the wavelet neural network is faster than the speed of BP network in the same errors. 分别用小波网络和BP网络逼近一非线性函数,其结果表明,在相同的误差条件下,小波网络的收敛速度要远远快于一般的BP网络。
Meanwhile a formula have got by the comonotonicity and approximating the distribution function. 同时应用共单调性和近似分布函数的方法也给出了算术平均亚式期权价格的近似公式。
The Theorems on Approximating δ-Function by δ-Splines 关于δ样条函数逼近δ函数的定理
RBF network, the use of arbitrary precision approximating function of the ability of a controller transfer function approximation, the importation of samples for training to the extent possible, should be the ideal transfer function output. 文中利用RBF网络的任意精度逼近函数的能力对控制器的传递函数进行逼近,对输入样本进行训练从而尽可能达到理想传递函数应有的输出量。