查询词典 hypersphere

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

An unsupervised hypersphere neural network that is used for pattern clustering is presented.

摘要提出和实现了用于模式聚类的无监督模糊超球神经网络。

The simulation of clustering demonstrates the superiority of the fuzzy hypersphere clustering neural network.

模式聚类的数值仿真解释了模糊超球聚类神经网络的优越性能。

Then in the subspace,the hypersphere containing almost training data with minimum radius is found as decision hypersphere for novel detection.

在该子空间中，通过优化方法寻找包含训练数据的最小超平面，作为新颖检测的决策界面。

The action hypersphere contributes to view-independent action recognition, and the hypersphere-based recognition is superior to kNN classification in computation efficiency.

动作超球融合了多视点下的人体运动特征，有利于进行视点无关的人体动作识别；另外基于超球的识别方法在计算效率上要优于传统的κNN算法。

And then fuzzy least square support vector machines are proposed based on support vector domain description. Data samples in the feature space are described and the smallest enclosing hypersphere is obtained. The fuzzy membership value to each sample point is determined according to the distance of each sample from the center of the hypersphere, which can reduce the effect of outliers.

该方法先对样本进行数据域描述得到一个包含该组数据的最小半径的超球，再根据特征空间中样本与超球球心的距离确定它们的隶属度，减少了奇异点的影响；把所要求解的约束凸二次优化问题转化为正定线性方程组，并采用快速Cholesky分解的方法求解该方程组。

Firstly, sample data stream by two neighbor windows of given length. Then the sampling data is projected to normalized high dimension feature space and the two minus hypersphere models of two window sampling data sets are constructed respectively. Finally, detect change by computing cosine of inclination angle of two centrals of hypersphere.

该算法首先以给定长度的两相邻时间窗口对数据流取样，然后以支持向量数据描述方法将这两相邻时间窗口取样的数据流子集映射到规范化的高维特征空间，并分别建立描述这两相邻时间窗口取样数据流子集映像的最小超球模型，最后通过计算两超球之间的球心矢量的夹角的余弦，度量该两相邻时间窗口取样数据流子集的相似性检测模式变化。

Constructed by standard binary classes support vector machine, present multiclass SVMs are usually very slow to be trained. When a large number of categories of data are to be classified, the training work could be very difficult. By extending the hypersphere one-class SVM to a hypersphere multiclass SVM, we build a fast training classifier HSOC-SVM. Its training speed is higher than that of the present multiclass classifiers, because each category data trains only one HSOC-SVM.

目前的多类分类器大多是经二分类器组合而成的，存在训练速度较慢的问题，在分类类别多的时候，会遇到很大困难，超球体多类支持向量机将超球体单类支持向量机扩展到多类问题，由于每类样本只参与一个超球体支持向量机的训练，因此，这是一种直接多类分类器，训练效率明显提高。

Firstly, two covering hypersphere algorithms were proposed, referred to as minimum volume covering hypersphere algorithm and moving medium centers covering hypersphere algorithm, to heuristically and rapidly select the promising hidden center vectors from all the training samples. Then the particle swarm optimization algorithm combined with recursive orthogonal least square algorithm was used to further prune the initial hidden centers and optimize the control parameters.

为在实际应用中加速优化速度，降低优化计算复杂度，首先提出了最小体积覆盖超球和移动平均中心覆盖超球两种算法，用于启发式的从训练样本中快速的初选出径向基概率神经网络的隐中心矢量，然后将粒子群优化算法和 ROLSA 结合进一步优选隐中心矢量，同时优化核函数控制参数，实现径向基概率神经网络的全结构优化。

From theoretical viewpoint,Support Vector Machinesolution corresponds to the center of the lar- gest hypersphere inscribed in the version space,and Analytic Center Machinesolution corresponds to the ana- lytic center of the largest hypersphere inscribed in the version space.

1问题的提出支持向量机以其优越的泛化性能在机器学习和优化领域日益受到重视并得到广泛应用，其解对应于样本空间最大超球体的中心。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。