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A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中,可以调整近邻图结点间的相似度,通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持;而且当需要保持更多的近邻关系使得数据点邻域增大时,采用测地线距离可以避免欧氏距离度量不合理的缺陷;实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时,局部近邻结构保持的程度是不同的,GGLE获得的全局低维坐标也呈现出不同的聚类特性。

The basal diameter, height of aerial stem, leaf length at middle stem, leaf width at middle stem, internode length at middle stem, internodes number and panicle length of 30 plants from every population were recorded. The statistics of morphological characters showed that the distribution trends of the averages of morphological characters are similar among populations. However, the coefficients of variation within population of 7 morphological characters were very different. The CV of internodes was largest and the CV of height was smallest within population. F-statistics showed that the differences of all morphological characters among populations were significant (P.01). But the differences among populations were different between different groups. The cluster analysis proved that all populations could be divided into three types: salty reed, freshwater reed and giant reed.

对来自每个种群的30个个体的基径、株高、中部叶长、中部叶宽、中部节间长、节间数、穗长7个形态特征的统计分析表明:各形态特征平均值在种群间的分布趋势相似,但变化幅度不同,株高、叶长等营养特征变化较大大,生殖特征穗长的变化较小;7个形态指标在种群内的平均变异度从大到小依次为中部节间长、中部叶宽、穗长、中部叶长、基径、节间数、株高,种群内的平均形态变异度与生境异质性有关;7个形态指标在种群间均差异显著,但多重比较分析显示显著差异主要存在于BZH、淡水生境种群和盐渍化生境种群之间,在相似生境种群间的形态差异不显著;以形态特征为依据的聚类分析支持将15个种群分为三类:盐生芦苇、淡水芦苇和巨型芦苇。

The injured knees were stable after operation. Conclusion: The mechanisms of anterolateral structure injuries, anterolateral rotatory instabilities and Sègond fractures are similar, which display identical tissue damage and result in similar symptoms and signs.

膝关节前外侧结构损伤、前外侧旋转不稳定及Sègond骨折的受伤机制相似,可表现为相同的组织损伤,引起相似的症状、体征。

A new SVM is presented in this paper to solve the approximately linear separable problem of pattern recognition:First,we transform the two convex hulls which are made up of the approximately separable training set to make them separable;Second,we can figure out a separating hyperplane by halving the nearest points method or maximal margin method;Then,we get the approximately linear SVM by solving the dual problem of maximal margin method.

对模式分类中的近似线性可分问题提出了一种新的近似线性支持向量机:先对近似线性分类中的训练集所形成的两类凸壳进行了相似变形,使变形后的凸壳线性可分,再用平分最近点和最大间隔法求出理想的分划超平面,然后再通过求解最大间隔法的对偶问题得到基于相似压缩的近似线性SVM。

From the RAPD analysis data, the band similarity rates and average band similarity rates between two individuals in the sampling population, average band allele frequencies, average band heterozygosis degree, and the Shannon genetic diversity index were calculated to perform the cluster analysis of heterozygosis arithmetic averages and construct the phylogenetic tree.

根据RAPD结果分别计算了两两个体间的带纹相似率、平均带纹相似率、带纹的平均等位基因频率和平均带纹杂合度及遗传多样性指数,作亲缘关系的类平均聚类并绘制了相关关系聚类图。

To solve this problem, a similarity degree measurement, which is induced into three hierarch models, is presented.

针对这个问题本文将服务范例的相似度算法归纳为"三层次"的服务范例相似度计算模型。

Under the domination by reasonism spirit, the historiographer always described the origin and development, cause and effect of the historical events in great detial, in order to give warnings to the contemporary era.

士人文化与士人散文产生于王纲解纽的自由时代,其思维模式往往是以时空结构为思维的参照系,注重事物之间的相似联系,可称之为时空—相似思维。

We give a sufficient condition for the self-similar set in the plane which is homeomorphic to the unit disk.

最后一章讨论自相似集的拓扑结构,给出了平面上的自相似集同胚于单位圆盘的充分条件。

Also, we give the definition of the population's states and establish the finite homogeneous Markov Chain Model of the population's states.

准确刻画了扩展相似推理学习算法中种群的状态空间,建立了扩展相似推理学习算法种群状态的齐次有限Markov链模型。

The 5 type of HA have different values of E465/E665, ranging from 3 to 5. They belong to the category of HA with a large number of molecules. Among them, the Forest Soil HA from Jingyun Mountain has the maximum amount of E465/E665, which means that it has the minimum extent of humification, benzene derivative in HA and molecule complexity.

红外光谱分析表明:供试5种不同土壤腐殖酸红外光谱均出现相似的吸收峰,反映出它们具有相似结构,均含有苯环和酚羟基官能团;但不同腐殖酸的红外光谱也有一定差异,2900cm~(-1),1720cm~(-1)、1(来源:bcABb1C论文网www.abclunwen.com)520cm~(-1)、1366cm~(-1)。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

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