多维频繁项集计算方法及应用

对多维关联规则中混合维关联规则数据挖掘技术进行了探索，实现了基于多维频繁项集进行多维关联规则数据挖掘的一种实用高效的方法，文中基于多维的频繁项集的挖掘算法主要分为2个步骤，并在高校学生信息系统中给予具体运用．     

半导体中的多维流体力学模型在球的外部区域上的整体光滑解的渐进行为

研究半导体中的多维流体力学模型在球的外部区域上的整体光滑的渐进行为，证明了其依指数形式收敛到稳态解的特性。     

多维分数次Black-Scholes模型中欧式未定权的定价

讨论了具有任意Hurst参数的多维分数次Black-Scholes模型中欧式未定权益的定价,首先得到了未定权益在到期前任意时刻的分数次风险中性定价,然后求出了欧式未定权益在单资产多噪声、多资产单噪声、多资产多噪声等情形下的定价公式.     

SwiftArray: Accelerating Queries on Multidimensional Arrays

Scientific instruments and simulation programs are generating large amounts of multidimensional array data.Queries with value and dimension subsetting conditions are commonly used by scientists to find useful information from big array data,and data storage and indexing methods play an important role in supporting queries on multidimensional array data efficiently.In this paper,we propose SwiftArray,a new storage layout with indexing techniques to accelerate queries with value and dimension subsetting conditions.In SwiftArray,the multidimensional array is divided into blocks and each block stores sorted values.Blocks are placed in the order of a Hilbert space-filling curve to improve data locality for dimension subsetting queries.We propose a 2-D-Bin method to build an index for the blocks’value ranges,which is an efficient way to avoid accessing unnecessary blocks for value subsetting queries.Our evaluations show that SwiftArray surpasses the NetCDF-4 format and FastBit indexing technique for queries on multidimensional arrays.     

An Efficient Multidimensional Fusion Algorithm for IoT Data Based on Partitioning

The Internet of Things (IoT) implies a worldwide network of interconnected objects uniquely addressable, via standard communication protocols. The prevalence of IoT is bound to generate large amounts of multisource, heterogeneous, dynamic, and sparse data. However, IoT offers inconsequential practical benefits without the ability to integrate, fuse, and glean useful information from such massive amounts of data. Accordingly, preparing us for the imminent invasion of things, a tool called data fusion can be used to manipulate and manage such data in order to improve process efficiency and provide advanced intelligence. In order to determine an acceptable quality of intelligence, diverse and voluminous data have to be combined and fused. Therefore, it is imperative to improve the computational efficiency for fusing and mining multidimensional data. In this paper, we propose an efficient multidimensional fusion algorithm for IoT data based on partitioning. The basic concept involves the partitioning of dimensions (attributes), i.e., a big data set with higher dimensions can be transformed into certain number of relatively smaller data subsets that can be easily processed. Then, based on the partitioning of dimensions, the discernible matrixes of all data subsets in rough set theory are computed to obtain their core attribute sets. Furthermore, a global core attribute set can be determined. Finally, the attribute reduction and rule extraction methods are used to obtain the fusion results. By means of proving a few theorems and simulation, the correctness and effectiveness of this algorithm is illustrated.     

内燃机工作过程多维模型计算机仿真平台设计与实现

设计了内燃机工作过程仿真集成化PC平台.以缸内流体动力学为基础,耦合反映缸内工作过程的喷射、燃烧和碳烟生成等子模型构建了平台的多维模型;通过设置Compaq Visual Fortran软件的双精度运行环境,在PC微机上成功编译了KIVA-3V源代码;然后通过设计可视化模块,实现了平台计算与可视的集成化功能.试验分析表明:仿真平台能模拟内燃机缸内工作过程,准确反映客观物理因素对工作过程的影响,仿真误差小于5%,可以在内燃机行业推广.     

基于水军信任惩罚的多维用户影响力度量模型

社交网络用户影响力度量是意见领袖识别的必要前提,然而目前的度量模型忽略了多维影响因素以及水军群体对度量模型真实性的影响.为此本文从网络结构、交互行为和交互信息三个维度来分析整合相关的影响因素,基于LeaderRank模型构建多维用户影响力度量-MUI模型,并在水军识别的基础上构建信任惩罚模型,以修正MUI模型建立MUISTP模型,实现社交网络用户影响力的真实性度量.以新浪微博平台大规模实际数据进行实验分析结果表明,与FBI,LeaderRank和Generative Graphical模型相比,MUI模型识别出的意见领袖更为准确,且可以实现更为有效的信息扩散.此外,经过水军信任惩罚后MUISTP模型较MUI能够实现更为有效的意见领袖识别.     

多维近邻密度估计的Lp模强相合性

设X_1,…,X_n是i.i.d.的具有密度f(x)的d维随机变量。设S_(x,a(x))是中心在x且至少包含X_1,…,X_n中k_n个点的最小的球,则f_n(x)=R_n/(n|S_(x,a(x)|)是f(x)一个近邻估计。我们证明了:假如lim k_n/n=0,lim k_n/logn=∞以及flog~ f在任何有界Borel集上可积(或∫f'(x)dx<∞,p>1),则对任何有界Borel集A有(或p>1)。反之,如,则有∫f~p(x)dx<∞,lim n→∞k_n/n=0和lim n→∞k_n=∞。     

多维超几何分布、多项分布与多维Poisson分布之间的关系

将一维情形的超几何分布、二项分布与Ｐｏｉｓｓｏｎ分布之间的联系加以推广，提出多维Ｐｏｉｓｓｏｎ分布的概念。多维超几何分布在一定条件下以多项分布作为其极限分布，而多项分布在一定条件下又趋向于多维Ｐｏｉｓｓｏｎ分布。     

多维链表的实现及操作算法研究

介绍了多维链表的分类和存储结构,并以C 语言详细描述了多维链表的实现算法。