一种基于半监督的大规模数据集聚类算法

待挖掘数据集规模的不断增长,以往的聚类算法由于需要多次扫描原始数据集而不再适用,现阶段,一遍扫描原始数据集即完成聚类的算法成为了首要的研究目标.但是,现有针对大规模数据集的算法容易受到初始化参数以及原始数据集分布的影响,聚类结果质量不高,并且也不稳定.对此,吸收半监督聚类的思想,提出了基于标记集的半监督一遍扫描K均值算法,该算法利用驻留主存的标记集指导聚类过程,使得聚类效率以及聚类结果的质量得到了进一步的提高.在人工生成数据集以及1998KDD数据集上验证了该算法的有效性.     

新的单调类定理

证明了由半集代数生成的正规类等于半集代数生成的σ代数，并提出一个新的集类：仿正规类．证明了这种仿正规类的单调类定理：由半集代数生成的仿正规类也等于半集代数生成的σ代数．     

基于密度的改进聚类算法比较

针对传统K-means算法的聚类结果依赖初始聚类中心的缺陷,提出了一种基于密度的改进K-means聚类算法,该算法选择位于数据集样本密集区且相距较远的数据对象作为初始聚类中心,实现K-means聚类。针对PAM算法时间复杂度高,且不利于大数据集处理的缺陷,提出了一种基于密度的改进K-medoids聚类算法,在选取初始中心点时根据数据集样本的分布特征选取,使得初始中心点位于不同类簇。UCI机器学习数据库数据集和随机生成的带有噪音点的人工模拟数据集的实验测试证明,基于密度的改进K-means算法和基于密度的改进Kmedoids算法都具有很好的聚类效果,运行时间短,收敛速度快,有抗噪性能。     

改进的粗糙集模糊聚类算法及其应用

通过将粗糙集和模糊聚类算法相结合, 利用粗糙集中上近似集和下近似集的概念改进模糊聚类算法, 解决了模糊聚类边界不确定的问题, 得到了上近似集和下近似集的聚类结果, 从而实现更好的聚类, 改进算法可以处理边界问题和复杂数据问题. 将改进的粗糙集模糊聚类算法用于研究环糊精聚类, 并将聚类结果与K均值聚类分析算法、 模糊C均值聚类算法相比, 实验结果表明, 改进算法有较好的聚类效果.     

几个重要集类间的相互关系

集类运算是现代数学的基础，特别是对一些重要集类的认识极为重要，本文研究了域、半域、环、σ域、σ环、λ类，π类等几个重要集类间的相互关系，从而可深化对现代数学的研究。     

一种基于k-prototype的多层次聚类改进算法

针对k-prototype算法在处理复杂的数据集时,常出现一些纯度不高的簇,影响了聚类质量的问题,提出一种基于k-prototype的多层次聚类改进算法,利用属性自动选择的方法将一些纯度不高的簇进行再聚类,以提高聚类质量.以UCI标准测试数据集进行实验,实验结果表明,该改进算法能够明显提高混合型数据集的聚类质量,并且在数据约简方面有良好表现.     

有限集上的划分与置换

有限集的划分计数问题可通过第二类Stirling数给出解答．在本文中，考虑到有限集的一个划分与置换群Sn中对应的一些置换分解为不相交循环的乘积两者之间是有联系的，本文通过它们之间的联系，得到了第二类Stirling数的一个表达式，从而得到了有限集划分计数问题的又一个表示式．     

用聚类-分类模式解决聚类问题

分类和聚类都是常用的数据挖掘方法,分类的优点是准确率较高,但需要带有类别标注的训练集;聚类不需要训练集,但准确率较低。提出一种聚类-分类模式来解决聚类问题,首先通过聚类方法自动形成训练集,然后在训练集的基础上进行分类操作。实验数据表明,提出的聚类-分类模式能够有效提高聚类的准确率。     

基于等价关系的Rough集模糊化方法

提出了一种利用等价关系将Rough集进行模糊化的新方法,给出了等价类集的模糊化和Rough集模糊化的定义、性质,讨论了Rough集的交、并、补集模糊化后的运算性质,并给出了证明.     

一种基于密度和网格的高效聚类算法

聚类已成为数据挖掘的主要方法之一,能够帮助人们在大量的数据中发现隐藏信息.目前最具典型的密度聚类算法是DBSCAN(density-based spatial clustering of applications with noise),它能够在空间数据库中很好地发现任意形状的簇并有效地处理噪声,但是它的计算复杂度相对较大.因此,采用划分数据集和聚簇合并方法,提出了一种基于密度和网格的高效聚类算法DGCA,并通过人工合成数据集和真实数据集对该聚类算法进行理论验证.实验结果表明该算法在效率性能和质量方面比DBSCAN都得到了提高.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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