DBC: a condensed representation of frequent patterns for efficient mining

Given a large set of data, a common data mining problem is to extract the frequent patterns occurring in this set. The idea presented in this paper is to extract a condensed representation of the frequent patterns called disjunction-bordered condensation (DBC), instead of extracting the whole frequent pattern collection. We show that this condensed representation can be used to regenerate all frequent patterns and their exact frequencies. Moreover, this regeneration can be performed without any access to the original data. Practical experiments show that the DBCcan be extracted very efficiently even in difficult cases and that this extraction and the regeneration of the frequent patterns is much more efficient than the direct extraction of the frequent patterns themselves. We compared the DBC with another representation of frequent patterns previously investigated in the literature called frequent closed sets. In nearly all experiments we have run, the DBC have been extracted much more efficiently than frequent closed sets. In the other cases, the extraction times are very close.     

一种开采频繁项目集集合的快速算法

在大的数据集合中,开采其中的频繁项目集集合是数据挖掘中极具挑战的重要任务。已经有很多高效的算法被总结了出来。本文提出了一种思想,即开采频繁项目集集合的一 个子集,我们称之为频繁无析取规则集集合,而并非开采完全的频繁项目集集合。我们证明能借助它不读取数据库而还原出频繁项目集集合的全集和它们的支持度。本文还提 提出了一个开采无析取规则集集合的算法HOPE-Ⅱ,实验结果显示了其高效性。我们将它与另一种称为频繁封闭集的精简集进行对比,几乎所有的实验结果都显示使用无析取规则集集合比使用封闭集集合来开采频繁项目集集合更有效。     

大数据的密度统计合并算法

针对处理大数据时传统聚类算法失效或效果不理想的问题,提出了一种大数据的密度统计合并算法(density-based statistical merging algorithm for large data sets,简称DSML).该算法将数据点的每个特征看作一组独立随机变量,并根据独立有限差分不等式获得统计合并判定准则.首先,使用统计合并判定准则对Leaders算法做出改进,获得代表点集;随后,结合代表点的密度和邻域信息,再次使用统计合并判定准则完成对整个数据集的聚类.理论分析和实验结果表明,DSML算法具有近似线性的时间复杂度,能处理任意形状的数据集,且对噪声具有良好的鲁棒性,非常有利于处理大规模数据集.     

区间值属性数据集关联规则挖掘算法仿真

对区间值属性数据集进行挖掘,可以有效分析出数据之间的关系。针对现有数据挖掘方法未对大规模数据进行聚类,导致挖掘过程占据内存大,挖掘精度低的问题,提出了一种新的区间值属性数据集挖掘算法。对问题定义、数据准备、数据提取、模式预测和数据聚类等模块进行详细分析,完成区间值属性数据聚类。根据聚类结果,将区间值属性数据分成多个数据集,挑选出能够支持最小支持度的项目集,将这些项目集作为频繁项集,进而提取出数据集之间的关联规则,将关联规则融入数据计算步骤,完成数据挖掘。为验证算法效果,进行仿真,结果表明,相较于传统挖掘算法,所提挖掘算法占用容量更小,挖掘精度更高。     

一种发现模糊关联规则的FTDA2算法

模糊关联规则在模糊集理论的基础上发现关联规则,频繁项集挖掘是数据挖掘的关键问题。Apriori算法在查找频繁项集时,需要对数据库进行多次扫描,通过模式匹配检查一个很大的候选集合,降低了算法执行效率。针对该问题提出FTDA2算法,该算法对事务数据库进行一次扫描,记录对计算频繁项集支持度有贡献的事务。比较FTDA2算法与其他算法,通过实验证明其有效性。     

聚类算法研究

对近年来聚类算法的研究现状与新进展进行归纳总结.一方面对近年来提出的较有代表性的聚类算法,从算法思想、关键技术和优缺点等方面进行分析概括;另一方面选择一些典型的聚类算法和一些知名的数据集,主要从正确率和运行效率两个方面进行模拟实验,并分别就同一种聚类算法、不同的数据集以及同一个数据集、不同的聚类算法的聚类情况进行对比分析.最后通过综合上述两方面信息给出聚类分析的研究热点、难点、不足和有待解决的一些问题.上述工作将为聚类分析和数据挖掘等研究提供有益的参考.     

Compression, clustering, and pattern discovery in very high-dimensional discrete-attribute data sets

This paper presents an efficient framework for error-bounded compression of high-dimensional discrete-attribute data sets. Such data sets, which frequently arise in a wide variety of applications, pose some of the most significant challenges in data analysis. Subsampling and compression are two key technologies for analyzing these data sets. The proposed framework, PROXIMUS, provides a technique for reducing large data sets into a much smaller set of representative patterns, on which traditional (expensive) analysis algorithms can be applied with minimal loss of accuracy. We show desirable properties of PROXIMUS in terms of runtime, scalability to large data sets, and performance in terms of capability to represent data in a compact form and discovery and interpretation of interesting patterns. We also demonstrate sample applications of PROXIMUS in association rule mining and semantic classification of term-document matrices. Our experimental results on real data sets show that use of the compressed data for association rule mining provides excellent precision and recall values (above 90 percent) across a range of problem parameters while reducing the time required for analysis drastically. We also show excellent interpretability of the patterns discovered by PROXIMUS in the context of clustering and classification of terms and documents. In doing so, we establish PROXIMUS as a tool for both preprocessing data before applying computationally expensive algorithms and directly extracting correlated patterns.     

无候选项的频繁邻近类别集挖掘算法

针对现有的频繁邻近类别集挖掘算法因产生候选项而存在冗余计算,提出一种无候选项的频繁邻近类别集挖掘算法,其适合在海量数据中挖掘空间对象的频繁邻近类别集;该算法以交叉搜索方式,用产生邻近类别集非空真子集的方法来计算支持数,实现一次扫描数据库挖掘频繁邻近类别集。算法无需产生候选频繁邻近类别集,且计算支持数时无需重复扫描数据库,达到了提高挖掘效率的目的。实验结果表明其在海量空间数据中挖掘频繁邻近类别集时,该算法比现有算法更快速更有效。     

基于样本密度和分类误差率的增量学习矢量量化算法研究

作为一种简单而成熟的分类方法, K最近邻(K nearest neighbor, KNN)算法在数据挖掘、模式识别等领域获得了广泛的应用, 但仍存在计算量大、高空间消耗、运行时间长等问题. 针对这些问题, 本文在增量学习型矢量量化(Incremental learning vector quantization, ILVQ)的单层竞争学习基础上, 融合样本密度和分类误差率的邻域思想, 提出了一种新的增量学习型矢量量化方法, 通过竞争学习策略对代表点邻域实现自适应增删、合并、分裂等操作, 快速获取原始数据集的原型集, 进而在保障分类精度基础上, 达到对大规模数据的高压缩效应. 此外, 对传统近邻分类算法进行了改进, 将原型近邻集的样本密度和分类误差率纳入到近邻判决准则中. 所提出算法通过单遍扫描学习训练集可快速生成有效的代表原型集, 具有较好的通用性. 实验结果表明, 该方法同其他算法相比较, 不仅可以保持甚至提高分类的准确性和压缩比, 且具有快速分类的优势.     

IDR/QR: an incremental dimension reduction algorithm via QR decomposition

Dimension reduction is a critical data preprocessing step for many database and data mining applications, such as efficient storage and retrieval of high-dimensional data. In the literature, a well-known dimension reduction algorithm is linear discriminant analysis (LDA). The common aspect of previously proposed LDA-based algorithms is the use of singular value decomposition (SVD). Due to the difficulty of designing an incremental solution for the eigenvalue problem on the product of scatter matrices in LDA, there has been little work on designing incremental LDA algorithms that can efficiently incorporate new data items as they become available. In this paper, we propose an LDA-based incremental dimension reduction algorithm, called IDR/QR, which applies QR decomposition rather than SVD. Unlike other LDA-based algorithms, this algorithm does not require the whole data matrix in main memory. This is desirable for large data sets. More importantly, with the insertion of new data items, the IDR/QR algorithm can constrain the computational cost by applying efficient QR-updating techniques. Finally, we evaluate the effectiveness of the IDR/QR algorithm in terms of classification error rate on the reduced dimensional space. Our experiments on several real-world data sets reveal that the classification error rate achieved by the IDR/QR algorithm is very close to the best possible one achieved by other LDA-based algorithms. However, the IDR/QR algorithm has much less computational cost, especially when new data items are inserted dynamically.     

基于CURE聚类算法改进的原型选择算法

针对传统K近邻分类器在大规模数据集中存在时间和空间复杂度过高的问题,可采取原型选择的方法进行处理,即从原始数据集中挑选出代表原型（样例）进行K近邻分类而不降低其分类准确率.本文在CURE聚类算法的基础上,针对CURE的噪声点不易确定及代表点分散性差的特点,利用共享邻居密度度量给出了一种去噪方法和使用最大最小距离选取代表点进行改进,从而提出了一种新的原型选择算法PSCURE （improved prototype selection algorithm based on CURE algorithm）.基于UCI数据集进行实验,结果表明：提出的PSCURE原型选择算法与相关原型算法相比,不仅能筛选出较少的原型,而且可获得较高的分类准确率.     

分布式环境下卷积神经网络并行策略研究

卷积神经网络通常使用标准误差逆传播算法进行串行训练,随着数据规模的增长,单机串行训练存在耗时长且占有较多的系统资源的问题。为有效实现海量数据的卷积神经网络训练,提出一种基于MapReduce框架的BP神经网络并行化训练模型。该模型结合了标准误差逆传播算法和累积误差逆传播算法,将大数据集分割成若干个子集,在损失少量准确率的条件下进行并行化处理,并扩展MNIST数据集进行图像识别测试。实验结果表明,该算法对数据规模有较好的适应性,能够提高卷积神经网络的训练效率。     

基于原型抽象和分类价值量的决策树算法*

为了克服现有决策树分类算法在大数据集上的有效性和可伸缩性的局限,提出一种新的基于粗糙集理论的决策树算法。首先提出基于代表性实例的原型抽象方法,该方法从原始数据集中抽取代表性实例组成抽象原型,可缩减实例数目和无关属性,从而使算法可以处理大数据集;然后提出属性分类价值量概念,并作为选择属性的启发式测度,该测度描述了属性对分类的贡献价值量的多少,侧重考虑了属性之间以及实例与分类之间的关系。实验表明,新算法比其他算法生成的决策树规模要小,准确率也有显著提高,在大数据集上尤为明显。     

Mining Frequent Patterns without Candidate Generation: A Frequent-Pattern Tree Approach

Mining frequent patterns in transaction databases, time-series databases, and many other kinds of databases has been studied popularly in data mining research. Most of the previous studies adopt an Apriori-like candidate set generation-and-test approach. However, candidate set generation is still costly, especially when there exist a large number of patterns and/or long patterns.In this study, we propose a novel frequent-pattern tree (FP-tree) structure, which is an extended prefix-tree structure for storing compressed, crucial information about frequent patterns, and develop an efficient FP-tree-based mining method, FP-growth, for mining the complete set of frequent patterns by pattern fragment growth. Efficiency of mining is achieved with three techniques: (1) a large database is compressed into a condensed, smaller data structure, FP-tree which avoids costly, repeated database scans, (2) our FP-tree-based mining adopts a pattern-fragment growth method to avoid the costly generation of a large number of candidate sets, and (3) a partitioning-based, divide-and-conquer method is used to decompose the mining task into a set of smaller tasks for mining confined patterns in conditional databases, which dramatically reduces the search space. Our performance study shows that the FP-growth method is efficient and scalable for mining both long and short frequent patterns, and is about an order of magnitude faster than the Apriori algorithm and also faster than some recently reported new frequent-pattern mining methods.     

Fast multiscale clustering and manifold identification

We present a novel multiscale clustering algorithm inspired by algebraic multigrid techniques. Our method begins with assembling data points according to local similarities. It uses an aggregation process to obtain reliable scale-dependent global properties, which arise from the local similarities. As the aggregation process proceeds, these global properties affect the formation of coherent clusters. The global features that can be utilized are for example density, shape, intrinsic dimensionality and orientation. The last three features are a part of the manifold identification process which is performed in parallel to the clustering process. The algorithm detects clusters that are distinguished by their multiscale nature, separates between clusters with different densities, and identifies and resolves intersections between clusters. The algorithm is tested on synthetic and real data sets, its running time complexity is linear in the size of the data set.     

基于粗糙集和单事务项组合的关联规则挖掘算法

Apriori算法必须反复地扫描数据库才能求出频繁项集,效率较低,且不支持更新挖掘。为了解决这些问题,提出了一种基于粗糙集、单事务项组合和集合运算的关联规则挖掘算法。本算法首先利用粗糙集进行属性约简,对新决策表中的每个事务进行“数据项”组合并标记地址,然后利用集合运算的方法计算支持度和置信度即可挖掘出有效规则。本算法只需要一次扫描数据库,同时有效地支持了关联规则的更新挖掘。应用实例和实验结果表明,本算法明显优于Apriori算法,是一种有效且快速的关联规则挖掘算法。     

基于排序向量内积的关联规则挖掘算法

关联规则发现是数据挖掘中的重要研究课题之一。将挖掘的数据事务集压缩到一个布尔型向量矩阵中,只需扫描数据库一次,合理利用数据存储结构,且不会产生大量的候选集。实验表明,该算法不仅实现简单,与经典的Apriori算法进行相比,效率也有大幅提高,特别对大事务集、长项目集数据挖掘效果更为明显。     

数据密集型计算环境下的离群点挖掘算法

在数据密集型计算环境中,数据的海量、高维、分布存储等特点,为数据挖掘算法的设计与实现带来了新的挑战。基于 MapReduce模型提出网格技术与基于密度的方法相结合的离群点挖掘算法,该算法分为两步：Map阶段采用网格技术删除大量不可能成为离群点的正常数据,将代表点信息发送给主节点;Reduce阶段采用基于密度的聚类方法,通过改进其核心对象选取,可以挖掘任意形状的离群点。实验结果表明,在数据密集型计算环境中,该方法能有效的对离群点进行挖掘。     

An efficient accelerator for attribute reduction from incomplete data in rough set framework

Feature selection (attribute reduction) from large-scale incomplete data is a challenging problem in areas such as pattern recognition, machine learning and data mining. In rough set theory, feature selection from incomplete data aims to retain the discriminatory power of original features. To address this issue, many feature selection algorithms have been proposed, however, these algorithms are often computationally time-consuming. To overcome this shortcoming, we introduce in this paper a theoretic framework based on rough set theory, which is called positive approximation and can be used to accelerate a heuristic process for feature selection from incomplete data. As an application of the proposed accelerator, a general feature selection algorithm is designed. By integrating the accelerator into a heuristic algorithm, we obtain several modified representative heuristic feature selection algorithms in rough set theory. Experiments show that these modified algorithms outperform their original counterparts. It is worth noting that the performance of the modified algorithms becomes more visible when dealing with larger data sets.