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A related degree-based frequent pattern mining algorithm for railway fault data
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作者 Jiaxu Guo Ding Ding +2 位作者 Peihan Yang Qi Zou Yaping Huang 《High-Speed Railway》 2024年第2期101-109,共9页
It is of great significance to improve the efficiency of railway production and operation by realizing the fault knowledge association through the efficient data mining algorithm.However,high utility quantitative freq... It is of great significance to improve the efficiency of railway production and operation by realizing the fault knowledge association through the efficient data mining algorithm.However,high utility quantitative frequent pattern mining algorithms in the field of data mining still suffer from the problems of low time-memory performance and are not easy to scale up.In the context of such needs,we propose a related degree-based frequent pattern mining algorithm,named Related High Utility Quantitative Item set Mining(RHUQI-Miner),to enable the effective mining of railway fault data.The algorithm constructs the item-related degree structure of fault data and gives a pruning optimization strategy to find frequent patterns with higher related degrees,reducing redundancy and invalid frequent patterns.Subsequently,it uses the fixed pattern length strategy to modify the utility information of the item in the mining process so that the algorithm can control the length of the output frequent pattern according to the actual data situation and further improve the performance and practicability of the algorithm.The experimental results on the real fault dataset show that RHUQI-Miner can effectively reduce the time and memory consumption in the mining process,thus providing data support for differentiated and precise maintenance strategies. 展开更多
关键词 High utility QUANTITATIVE frequent pattern mining Related degree pruning Fixed pattern length
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A New Algorithm for Mining Frequent Pattern 被引量:2
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作者 李力 靳蕃 《Journal of Southwest Jiaotong University(English Edition)》 2002年第1期10-20,共11页
Mining frequent pattern in transaction database, time series databases, and many other kinds of databases have been studied popularly in data mining research. Most of the previous studies adopt Apriori like candidat... Mining frequent pattern in transaction database, time series databases, and many other kinds of databases have been studied popularly in data mining research. Most of the previous studies adopt Apriori like candidate set generation and test approach. However, candidate set generation is very costly. Han J. proposed a novel algorithm FP growth that could generate frequent pattern without candidate set. Based on the analysis of the algorithm FP growth, this paper proposes a concept of equivalent FP tree and proposes an improved algorithm, denoted as FP growth * , which is much faster in speed, and easy to realize. FP growth * adopts a modified structure of FP tree and header table, and only generates a header table in each recursive operation and projects the tree to the original FP tree. The two algorithms get the same frequent pattern set in the same transaction database, but the performance study on computer shows that the speed of the improved algorithm, FP growth * , is at least two times as fast as that of FP growth. 展开更多
关键词 data mining algorithm frequent pattern set FP growth
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An Efficient Hybrid Algorithm for Mining Web Frequent Access Patterns 被引量:1
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作者 ZHANLi-qiang LIUDa-xin 《Wuhan University Journal of Natural Sciences》 EI CAS 2004年第5期557-560,共4页
We propose an efficient hybrid algorithm WDHP in this paper for mining frequent access patterns. WDHP adopts the techniques of DHP to optimize its performance, which is using hash table to filter candidate set and tri... We propose an efficient hybrid algorithm WDHP in this paper for mining frequent access patterns. WDHP adopts the techniques of DHP to optimize its performance, which is using hash table to filter candidate set and trimming database. Whenever the database is trimmed to a size less than a specified threshold, the algorithm puts the database into main memory by constructing a tree, and finds frequent patterns on the tree. The experiment shows that WDHP outperform algorithm DHP and main memory based algorithm WAP in execution efficiency. 展开更多
关键词 frequent access pattern AP-tree hash-table
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A Novel Incremental Mining Algorithm of Frequent Patterns for Web Usage Mining 被引量:1
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作者 DONG Yihong ZHUANG Yueting TAI Xiaoying 《Wuhan University Journal of Natural Sciences》 CAS 2007年第5期777-782,共6页
Because data warehouse is frequently changing, incremental data leads to old knowledge which is mined formerly unavailable. In order to maintain the discovered knowledge and patterns dynamically, this study presents a... Because data warehouse is frequently changing, incremental data leads to old knowledge which is mined formerly unavailable. In order to maintain the discovered knowledge and patterns dynamically, this study presents a novel algorithm updating for global frequent patterns-IPARUC. A rapid clustering method is introduced to divide database into n parts in IPARUC firstly, where the data are similar in the same part. Then, the nodes in the tree are adjusted dynamically in inserting process by "pruning and laying back" to keep the frequency descending order so that they can be shared to approaching optimization. Finally local frequent itemsets mined from each local dataset are merged into global frequent itemsets. The results of experimental study are very encouraging. It is obvious from experiment that IPARUC is more effective and efficient than other two contrastive methods. Furthermore, there is significant application potential to a prototype of Web log Analyzer in web usage mining that can help us to discover useful knowledge effectively, even help managers making decision. 展开更多
关键词 incremental algorithm association rule frequent pattern tree web usage mining
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Hybrid Reliability Parameter Selection Method Based on Text Mining, Frequent Pattern Growth Algorithm and Fuzzy Bayesian Network 被引量:1
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作者 SHUAI Yon SONG Tailian +1 位作者 WANG Jianping ZHAN Wenbin 《Journal of Shanghai Jiaotong university(Science)》 EI 2018年第3期423-428,共6页
Reliability parameter selection is very important in the period of equipment project design and demonstration. In this paper, the problem in selecting the reliability parameters and their number is proposed. In order ... Reliability parameter selection is very important in the period of equipment project design and demonstration. In this paper, the problem in selecting the reliability parameters and their number is proposed. In order to solve this problem, the thought of text mining is used to extract the feature and curtail feature sets from text data firstly, and frequent pattern tree (FPT) of the text data is constructed to reason frequent item-set between the key factors by frequent patter growth (FPC) algorithm. Then on the basis of fuzzy Bayesian network (FBN) and sample distribution, this paper fuzzifies the key attributes, which forms associated relationship in frequent item-sets and their main parameters, eliminates the subjective influence factors and obtains condition mutual information and maximum weight directed tree among all the attribute variables. Furthermore, the hybrid model is established by reason fuzzy prior probability and contingent probability and concluding parameter learning method. Finally, the example indicates the model is believable and effective. 展开更多
关键词 reliability parameter text mining frequent pattern growth(FPG) fuzzy Bayesian network(FBN)
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Mining Maximal Frequent Patterns in a Unidirectional FP-tree 被引量:1
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作者 宋晶晶 刘瑞新 +1 位作者 王艳 姜保庆 《Journal of Donghua University(English Edition)》 EI CAS 2006年第6期105-109,共5页
Because mining complete set of frequent patterns from dense database could be impractical, an interesting alternative has been proposed recently. Instead of mining the complete set of frequent patterns, the new model ... Because mining complete set of frequent patterns from dense database could be impractical, an interesting alternative has been proposed recently. Instead of mining the complete set of frequent patterns, the new model only finds out the maximal frequent patterns, which can generate all frequent patterns. FP-growth algorithm is one of the most efficient frequent-pattern mining methods published so far. However, because FP-tree and conditional FP-trees must be two-way traversable, a great deal memory is needed in process of mining. This paper proposes an efficient algorithm Unid_FP-Max for mining maximal frequent patterns based on unidirectional FP-tree. Because of generation method of unidirectional FP-tree and conditional unidirectional FP-trees, the algorithm reduces the space consumption to the fullest extent. With the development of two techniques: single path pruning and header table pruning which can cut down many conditional unidirectional FP-trees generated recursively in mining process, Unid_FP-Max further lowers the expense of time and space. 展开更多
关键词 data mining frequent pattern the maximal frequent pattern Unid _ FP-tree conditional Unid _ FP-tree.
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GTK:A Hybrid-Search Algorithm of Top-Rank-k Frequent Patterns Based on Greedy Strategy 被引量:1
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作者 Yuhang Long Wensheng Tang +4 位作者 Bo Yang Xinyu Wang Hua Ma Hang Shi Xueyu Cheng 《Computers, Materials & Continua》 SCIE EI 2020年第6期1445-1469,共25页
Currently,the top-rank-k has been widely applied to mine frequent patterns with a rank not exceeding k.In the existing algorithms,although a level-wise-search could fully mine the target patterns,it usually leads to t... Currently,the top-rank-k has been widely applied to mine frequent patterns with a rank not exceeding k.In the existing algorithms,although a level-wise-search could fully mine the target patterns,it usually leads to the delay of high rank patterns generation,resulting in the slow growth of the support threshold and the mining efficiency.Aiming at this problem,a greedy-strategy-based top-rank-k frequent patterns hybrid mining algorithm(GTK)is proposed in this paper.In this algorithm,top-rank-k patterns are stored in a static doubly linked list called RSL,and the patterns are divided into short patterns and long patterns.The short patterns generated by a rank-first-search always joins the two patterns of the highest rank in RSL that have not yet been joined.On the basis of the short patterns satisfying specific conditions,the long patterns are extracted through level-wise-search.To reduce redundancy,GTK improves the generation method of subsume index and designs the new pruning strategies of candidates.This algorithm also takes the use of reasonable pruning strategies to reduce the amount of computation to improve the computational speed.Real datasets and synthetic datasets are adopted in experiments to evaluate the proposed algorithm.The experimental results show the obvious advantages in both time efficiency and space efficiency of GTK. 展开更多
关键词 Top-rank-k frequent patterns greedy strategy hybrid-search
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Quantum Algorithm for Mining Frequent Patterns for Association Rule Mining 被引量:1
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作者 Abdirahman Alasow Marek Perkowski 《Journal of Quantum Information Science》 CAS 2023年第1期1-23,共23页
Maximum frequent pattern generation from a large database of transactions and items for association rule mining is an important research topic in data mining. Association rule mining aims to discover interesting corre... Maximum frequent pattern generation from a large database of transactions and items for association rule mining is an important research topic in data mining. Association rule mining aims to discover interesting correlations, frequent patterns, associations, or causal structures between items hidden in a large database. By exploiting quantum computing, we propose an efficient quantum search algorithm design to discover the maximum frequent patterns. We modified Grover’s search algorithm so that a subspace of arbitrary symmetric states is used instead of the whole search space. We presented a novel quantum oracle design that employs a quantum counter to count the maximum frequent items and a quantum comparator to check with a minimum support threshold. The proposed derived algorithm increases the rate of the correct solutions since the search is only in a subspace. Furthermore, our algorithm significantly scales and optimizes the required number of qubits in design, which directly reflected positively on the performance. Our proposed design can accommodate more transactions and items and still have a good performance with a small number of qubits. 展开更多
关键词 Data Mining Association Rule Mining frequent pattern Apriori Algorithm Quantum Counter Quantum Comparator Grover’s Search Algorithm
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大图中多样化Top-k模式挖掘算法研究 被引量:1
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作者 何宇昂 王欣 沈玲珍 《计算机科学》 CSCD 北大核心 2024年第5期70-84,共15页
频繁模式挖掘(Frequent Pattern Mining,FPM)是图数据挖掘领域的一项重要任务。该任务的目标是从图数据中找到出现频次大于给定阈值的所有模式。近年来,随着社交网络等大规模图数据的涌现,单一大图上的FPM问题受到广泛关注,并得到了较... 频繁模式挖掘(Frequent Pattern Mining,FPM)是图数据挖掘领域的一项重要任务。该任务的目标是从图数据中找到出现频次大于给定阈值的所有模式。近年来,随着社交网络等大规模图数据的涌现,单一大图上的FPM问题受到广泛关注,并得到了较为充分的研究,取得了一系列研究成果。然而,已有技术大都存在着计算成本高、挖掘结果理解困难以及并行计算难等问题。针对上述问题,文中提出了一种从大规模图数据中挖掘多样化top-k模式的方法。首先设计了一个多样化函数,用于度量模式集合的多样性;随后设计了一种面向分布式图数据,具有提前终止特性的分布式挖掘算法DisTopk,以实现多样化top-k模式高效挖掘。在真实图数据和合成图数据上进行了大量实验,结果表明,与传统分布式挖掘算法相比,DisTopk算法能更高效地挖掘多样化top-k模式。 展开更多
关键词 频繁模式挖掘 top-k模式 结果多样性 分布式挖掘 提前终止
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Fast Discovering Frequent Patterns for Incremental XML Queries
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作者 PENGDun-lu QIUYang 《Wuhan University Journal of Natural Sciences》 EI CAS 2004年第5期638-646,共9页
It is nontrivial to maintain such discovered frequent query patterns in real XML-DBMS because the transaction database of queries may allow frequent updates and such updates may not only invalidate some existing frequ... It is nontrivial to maintain such discovered frequent query patterns in real XML-DBMS because the transaction database of queries may allow frequent updates and such updates may not only invalidate some existing frequent query patterns but also generate some new frequent query patterns. In this paper, two incremental updating algorithms, FUX-QMiner and FUXQMiner, are proposed for efficient maintenance of discovered frequent query patterns and generation the new frequent query patterns when new XMI, queries are added into the database. Experimental results from our implementation show that the proposed algorithms have good performance. Key words XML - frequent query pattern - incremental algorithm - data mining CLC number TP 311 Foudation item: Supported by the Youthful Foundation for Scientific Research of University of Shanghai for Science and TechnologyBiography: PENG Dun-lu (1974-), male, Associate professor, Ph.D, research direction: data mining, Web service and its application, peerto-peer computing. 展开更多
关键词 XML frequent query pattern incremental algorithm data mining
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High Utility Periodic Frequent Pattern Mining in Multiple Sequences
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作者 Chien-Ming Chen Zhenzhou Zhang +1 位作者 Jimmy Ming-Tai Wu Kuruva Lakshmanna 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第10期733-759,共27页
Periodic patternmining has become a popular research subject in recent years;this approach involves the discoveryof frequently recurring patterns in a transaction sequence. However, previous algorithms for periodic pa... Periodic patternmining has become a popular research subject in recent years;this approach involves the discoveryof frequently recurring patterns in a transaction sequence. However, previous algorithms for periodic patternmining have ignored the utility (profit, value) of patterns. Additionally, these algorithms only identify periodicpatterns in a single sequence. However, identifying patterns of high utility that are common to a set of sequencesis more valuable. In several fields, identifying high-utility periodic frequent patterns in multiple sequences isimportant. In this study, an efficient algorithm called MHUPFPS was proposed to identify such patterns. To addressexisting problems, three new measures are defined: the utility, high support, and high-utility period sequenceratios. Further, a new upper bound, upSeqRa, and two new pruning properties were proposed. MHUPFPS usesa newly defined HUPFPS-list structure to significantly accelerate the reduction of the search space and improvethe overall performance of the algorithm. Furthermore, the proposed algorithmis evaluated using several datasets.The experimental results indicate that the algorithm is accurate and effective in filtering several non-high-utilityperiodic frequent patterns. 展开更多
关键词 Decision making frequent periodic pattern multi-sequence database sequential rules utility mining
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Adaptive associative classification with emerging frequent patterns
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作者 Wang Xiaofeng Zhang Dapeng Shi Zhongzhi 《High Technology Letters》 EI CAS 2012年第1期38-44,共7页
In this paper, we propose an enhanced associative classification method by integrating the dynamic property in the process of associative classification. In the proposed method, we employ a support vector machine(SVM... In this paper, we propose an enhanced associative classification method by integrating the dynamic property in the process of associative classification. In the proposed method, we employ a support vector machine(SVM) based method to refine the discovered emerging ~equent patterns for classification rule extension for class label prediction. The empirical study shows that our method can be used to classify increasing resources efficiently and effectively. 展开更多
关键词 associative classification RULE frequent pattern mining emerging frequent pattern supportvector machine (SVM)
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Association RuleMining Frequent-Pattern-Based Intrusion Detection in Network
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作者 S.Sivanantham V.Mohanraj +1 位作者 Y.Suresh J.Senthilkumar 《Computer Systems Science & Engineering》 SCIE EI 2023年第2期1617-1631,共15页
In the network security system,intrusion detection plays a significant role.The network security system detects the malicious actions in the network and also conforms the availability,integrity and confidentiality of da... In the network security system,intrusion detection plays a significant role.The network security system detects the malicious actions in the network and also conforms the availability,integrity and confidentiality of data informa-tion resources.Intrusion identification system can easily detect the false positive alerts.If large number of false positive alerts are created then it makes intrusion detection system as difficult to differentiate the false positive alerts from genuine attacks.Many research works have been done.The issues in the existing algo-rithms are more memory space and need more time to execute the transactions of records.This paper proposes a novel framework of network security Intrusion Detection System(IDS)using Modified Frequent Pattern(MFP-Tree)via K-means algorithm.The accuracy rate of Modified Frequent Pattern Tree(MFPT)-K means method infinding the various attacks are Normal 94.89%,for DoS based attack 98.34%,for User to Root(U2R)attacks got 96.73%,Remote to Local(R2L)got 95.89%and Probe attack got 92.67%and is optimal when it is compared with other existing algorithms of K-Means and APRIORI. 展开更多
关键词 IDS K-MEANS frequent pattern tree false alert MINING L1-norm
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SWFP-Miner: an efficient algorithm for mining weighted frequent pattern over data streams
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作者 Wang Jie Zeng Yu 《High Technology Letters》 EI CAS 2012年第3期289-294,共6页
Previous weighted frequent pattern (WFP) mining algorithms are not suitable for data streams for they need multiple database scans. In this paper, we present an efficient algorithm SWFP-Miner to mine weighted freque... Previous weighted frequent pattern (WFP) mining algorithms are not suitable for data streams for they need multiple database scans. In this paper, we present an efficient algorithm SWFP-Miner to mine weighted frequent pattern over data streams. SWFP-Miner is based on sliding window and can discover important frequent pattern from the recent data. A new refined weight definition is proposed to keep the downward closure property, and two pruning strategies are presented to prune the weighted infrequent pattern. Experimental studies are performed to evaluate the effectiveness and efficiency of SWFP-Miner. 展开更多
关键词 weighted frequent pattern (WFP) mining data streams data mining slidingwindow SWFP-Miner
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Novel Algorithm for Mining Frequent Patterns of Moving Objects Based on Dictionary Tree Improvement
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作者 Yi Chen Yulan Dong Dechang Pi 《国际计算机前沿大会会议论文集》 2018年第1期20-20,共1页
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基于频繁模式树和深度学习的频繁项集挖掘算法 被引量:1
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作者 李洋 李华 《黑龙江工业学院学报(综合版)》 2025年第1期94-98,共5页
随着数据量的急剧增长,从海量数据中挖掘有价值的信息变得尤为重要。频繁项集挖掘作为数据挖掘的一个关键领域,旨在识别数据集中频繁出现的项集,这些项集能够揭示数据间的内在联系,并为后续的高级分析提供基础。然而,传统的频繁项集挖... 随着数据量的急剧增长,从海量数据中挖掘有价值的信息变得尤为重要。频繁项集挖掘作为数据挖掘的一个关键领域,旨在识别数据集中频繁出现的项集,这些项集能够揭示数据间的内在联系,并为后续的高级分析提供基础。然而,传统的频繁项集挖掘算法在处理大规模数据集时面临准确性和效率的挑战。为了解决这些问题,本研究提出频繁模式树和深度学习的新型频繁项集挖掘算法。该算法首先利用深度置信网络提取数据的高级特征,然后基于这些特征构建频繁模式树,以高效挖掘频繁项集。实验结果表明,该算法在查全率和查准率方面均表现优异,查全率高达97.56%,查准率高达95.49%,显示出其在实际应用中的高准确性和广泛适用性。 展开更多
关键词 频繁模式树 深度学习 频繁项集 数据挖掘 挖掘算法
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面向时间有序事务数据的聚簇频繁模式挖掘
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作者 王少鹏 牛超煜 《软件学报》 北大核心 2025年第5期2342-2361,共20页
首次对时间有序事务数据中聚簇频繁模式的挖掘问题进行研究.为了解决Naive算法处理该问题时存在冗余运算的问题,提出一种改进的聚簇频繁模式挖掘算法ICFPM(improved cluster frequent pattern mining).该算法使用2种优化策略,一方面可... 首次对时间有序事务数据中聚簇频繁模式的挖掘问题进行研究.为了解决Naive算法处理该问题时存在冗余运算的问题,提出一种改进的聚簇频繁模式挖掘算法ICFPM(improved cluster frequent pattern mining).该算法使用2种优化策略,一方面可以利用定义的参数minCF,有效减少挖掘结果的搜索空间,另一方面可以参考(n–1)项集的判别结果加速聚簇频繁n项集的判别过程,算法还使用了ICFPM-list结构来减少候选n项集的构建开销.基于两个真实世界数据集的仿真实验证明了ICFPM算法的有效性,与Naive算法相比,ICFPM算法在时间和空间效率方面得到了大幅度的提高,是解决聚簇频繁模式挖掘的有效方法. 展开更多
关键词 时间有序事务数据 聚簇 频繁模式 数据挖掘 向下闭包
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差分隐私保护下一种精确挖掘top-k频繁模式方法 被引量:29
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作者 张啸剑 王淼 孟小峰 《计算机研究与发展》 EI CSCD 北大核心 2014年第1期104-114,共11页
频繁模式挖掘是分析事务数据集常用技术.然而,当事务数据集含有敏感数据时(如用户行为记录、电子病例等),直接发布频繁模式及其支持度计数会给个人隐私带来相当大的风险.对此提出了一种满足ε-差分隐私的top-k频繁模式挖掘算法DP-topkP(... 频繁模式挖掘是分析事务数据集常用技术.然而,当事务数据集含有敏感数据时(如用户行为记录、电子病例等),直接发布频繁模式及其支持度计数会给个人隐私带来相当大的风险.对此提出了一种满足ε-差分隐私的top-k频繁模式挖掘算法DP-topkP(differentially private top-kpattern mining).该算法利用指数机制从候选频繁模式集合中挑选出top-k个携带真实支持度计数的模式;采用拉普拉斯机制产生的噪音扰动所选模式的真实支持度计数;为了增强输出模式的可用性,采用后置处理技术对top-k个模式的噪音支持度计数进行求精处理.从理论角度证明了该算法满足ε-差分隐私,并符合(λ,δ)-useful要求.实验结果证明了DP-topkP算法具有较好的准确性、可用性和可扩展性. 展开更多
关键词 频繁模式挖掘 top-k模式 差分隐私 拉普拉斯机制 指数机制
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不产生候选项集的TOP-K高效用模式挖掘算法 被引量:9
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作者 王乐 冯林 王水 《计算机研究与发展》 EI CSCD 北大核心 2015年第2期445-455,共11页
目前TOP-K高效用模式挖掘算法需要产生候选项集,特别是当数据集比较大或者数据集中包含较多长事务项集时,算法的时间和空间效率会受到更大的影响.针对此问题,通过将事务项集和项集效用信息有效地保存到树结构HUP-Tree,给出一个不需要候... 目前TOP-K高效用模式挖掘算法需要产生候选项集,特别是当数据集比较大或者数据集中包含较多长事务项集时,算法的时间和空间效率会受到更大的影响.针对此问题,通过将事务项集和项集效用信息有效地保存到树结构HUP-Tree,给出一个不需要候选项集的挖掘算法TOPKHUP;HUPTree树能保证从中计算到每个模式的效用值,不需要再扫描数据集来计算模式的效用值,从而使挖掘算法的时空效率得到较大的提高.采用7个典型数据集对算法的性能进行测试,实验结果证明TOPKHUP的时间和空间效率都优于已有算法,并对K值的变化保持平稳. 展开更多
关键词 高效用模式 频繁模式 频繁项集 数据挖掘 TOP—K
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一种基于混合搜索的高效Top-K最频繁模式挖掘算法 被引量:2
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作者 敖富江 杜静 +1 位作者 陈彬 黄柯棣 《国防科技大学学报》 EI CAS CSCD 北大核心 2009年第2期90-93,共4页
挖掘数据集中的Top-K最频繁模式具有重要意义。已有Top-K最频繁模式挖掘算法通常采用最频繁的k个项目作为初始项目,并将初始项目中频率最低的项目的支持度作为初始边界支持度。但实际组成Top-K最频繁模式的项目数目可能远少于k,从而制... 挖掘数据集中的Top-K最频繁模式具有重要意义。已有Top-K最频繁模式挖掘算法通常采用最频繁的k个项目作为初始项目,并将初始项目中频率最低的项目的支持度作为初始边界支持度。但实际组成Top-K最频繁模式的项目数目可能远少于k,从而制约了算法的效率。为此,提出了一种基于混合搜索方式的高效Top-K最频繁模式挖掘算法MTKFP。该算法首先利用宽度优先搜索获得少量的短项集,并利用短项集确定数目少于k的初始项目范围以及较高的初始边界支持度;然后利用深度优先搜索获得所有Top-K最频繁模式。实验表明,MTKFP算法所获得的初始项目数目至少低于已有算法70%,初始边界支持度高于已有算法;MTKFP算法的性能优于已有最好算法。 展开更多
关键词 top-k最频繁模式 边界支持度 混合搜索 FP-TREE
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