对相依时间序列数据，在一定的条件下已有人证明了局部多项式加权回归系数估计服从渐近正态分布，其中核函数是有界的。
Fan J and Gijbels I gave the asymptotic normality of local polynomial regression estimation in dependent time series, where the weighted function is bounded.
核函数分别采用多项式和径向基函数。
The kernel functions are generated to use polynomials and radial basic functions.
研究设计了一种具有自主知识产权的高速、高精度的有限域多项式相乘运算核。
In this thesis, the design and FPGA implementation result of a finite field polynomial multiplier is presented, whose arithmetic architecture is based on the number theoretic transform.
第一节我们给出了多元正交多项式再生核的一个广义极小性质。
In the first section, we give out a generalised minimum property of then-th reproducing kernel of the multivariate orthogonal polynomials.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
故本文运用多项式核函数将人脸分布的低维空间映射到高维空间，并在此空间判别“待识别人脸”是否属十某个人脸覆盖集合。
Polynomial kernel function is applied to map face distribution of low dimension space to that of high dimension space, and decide which set that face to be recognized belongs to.
在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。
In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.
相比先前基于0 - 1编码的多项式核，采用新的字符串核能较好地度量序列之间的相似度。
Compared to the 0-1 polynomial kernel, our newly designed string kernel based on edit distance can effectively measure the similarity between sequences.
通过对基于多项式核函数和径向基核函数的支持向量机分类器进行比较，并且得到三种肝脏分类的识别率。
The classification accuracy of SVM based on polynomial and radial basis function kernel were compared, and the recognition accuracy of the three categories were obtained.
接着分别针对径向基核函数和多项式核函数进行多次实验，分析这两种核函数对过滤算法的影响。
Then, experiments with the radial basic function and the polynomial kernel function are used to reveal the relationship between kernel functions and the filter algorithm.
局部多项式核估计能很好地估计股市理论收益率指标，准确计量我国股市泡沫动态变化情况。
The research results show it can dynamically measure China stock market bubbles in relative index and a new econometric method can also measure stock market theory returns and its dynamical bubbles.
从学习能力和推广能力上对径向基核函数和多项式核函数进行了比较，发现二者各有优劣。
By analyzing advantages and disadvantages of the two kernel functions, the combinational kernel function is proposed using the convex combination of them.
从学习能力和推广能力上对径向基核函数和多项式核函数进行了比较，发现二者各有优劣。
By analyzing advantages and disadvantages of the two kernel functions, the combinational kernel function is proposed using the convex combination of them.
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