Mining Large Information Networks by Graph Summarization

Graphs are prevalent in many domains such as bioinformatics, social networks, Web, and cybersecurity. Graph pattern mining has become an important tool in the management and analysis of complexly structured data, where example applications include indexing, clustering, and classification. Existing graph mining algorithms have achieved great success by exploiting various properties in the pattern space. Unfortunately, due to the fundamental role subgraph isomorphism plays in these methods, they may all enter into a pitfall when the cost to enumerate a huge set of isomorphic embeddings blows up, especially in large graphs. The solution we propose for this problem resorts to reduction on the data space. For each graph, we build a summary of it and mine this shrunk graph instead. Compared to other data reduction techniques that either reduce the number of transactions or compress between transactions, this new framework, called Summarize-Mine, suggests a third path by compressing within transactions. Summarize-Mine is effective in cutting down the size of graphs, thus decreasing the embedding enumeration cost. However, compression might lose patterns at the same time. We address this issue by generating randomized summaries and repeating the process for multiple rounds, where the main idea is that true patterns are unlikely to miss from all rounds. We provide strict probabilistic guarantees on pattern loss likelihood. Experiments on real malware trace data show that Summarize-Mine is very efficient, which can find interesting malware fingerprints that were not revealed previously.

[1]  Takashi Washio,et al.  Complete Mining of Frequent Patterns from Graphs: Mining Graph Data , 2003, Machine Learning.

[2]  Jiawei Han,et al.  gSpan: graph-based substructure pattern mining , 2002, 2002 IEEE International Conference on Data Mining, 2002. Proceedings..

[3]  Luc De Raedt,et al.  Molecular feature mining in HIV data , 2001, KDD '01.

[4]  Jian Pei,et al.  On mining cross-graph quasi-cliques , 2005, KDD '05.

[5]  Phillip B. Gibbons,et al.  Approximate Query Processing: Taming the TeraBytes! A Tutorial , 2001 .

[6]  George Karypis,et al.  Frequent subgraph discovery , 2001, Proceedings 2001 IEEE International Conference on Data Mining.

[7]  Mohammad Al Hasan,et al.  ORIGAMI: Mining Representative Orthogonal Graph Patterns , 2007, Seventh IEEE International Conference on Data Mining (ICDM 2007).

[8]  Philip S. Yu,et al.  Graph OLAP: Towards Online Analytical Processing on Graphs , 2008, 2008 Eighth IEEE International Conference on Data Mining.

[9]  Sriram Raghavan,et al.  Representing Web graphs , 2003, Proceedings 19th International Conference on Data Engineering (Cat. No.03CH37405).

[10]  George Karypis,et al.  Finding Frequent Patterns in a Large Sparse Graph* , 2004, Data Mining and Knowledge Discovery.

[11]  George Karypis,et al.  Finding Frequent Patterns in a Large Sparse Graph* , 2005, Data Mining and Knowledge Discovery.

[12]  Neoklis Polyzotis,et al.  XSKETCH synopses for XML data graphs , 2006, TODS.

[13]  M. Tamer Özsu,et al.  A succinct physical storage scheme for efficient evaluation of path queries in XML , 2004, Proceedings. 20th International Conference on Data Engineering.

[14]  Ambuj K. Singh,et al.  Efficient Algorithms for Mining Significant Substructures in Graphs with Quality Guarantees , 2007, Seventh IEEE International Conference on Data Mining (ICDM 2007).

[15]  Christos Faloutsos,et al.  Graphs over time: densification laws, shrinking diameters and possible explanations , 2005, KDD '05.

[16]  Jiong Yang,et al.  SPIN: mining maximal frequent subgraphs from graph databases , 2004, KDD.

[17]  Ramakrishnan Srikant,et al.  Fast Algorithms for Mining Association Rules in Large Databases , 1994, VLDB.

[18]  Philip S. Yu,et al.  Mining significant graph patterns by leap search , 2008, SIGMOD Conference.

[19]  Jian Pei,et al.  Mining frequent patterns without candidate generation , 2000, SIGMOD 2000.

[20]  U. M. Feyyad Data mining and knowledge discovery: making sense out of data , 1996 .

[21]  Nisheeth Shrivastava,et al.  Graph summarization with bounded error , 2008, SIGMOD Conference.

[22]  Jignesh M. Patel,et al.  Efficient aggregation for graph summarization , 2008, SIGMOD Conference.

[23]  George Karypis,et al.  Frequent Substructure-Based Approaches for Classifying Chemical Compounds , 2005, IEEE Trans. Knowl. Data Eng..

[24]  András A. Benczúr,et al.  To randomize or not to randomize: space optimal summaries for hyperlink analysis , 2006, WWW '06.

[25]  Christos Faloutsos,et al.  Graph mining: Laws, generators, and algorithms , 2006, CSUR.

[26]  Mong-Li Lee,et al.  NeMoFinder: dissecting genome-wide protein-protein interactions with meso-scale network motifs , 2006, KDD '06.

[27]  Philip S. Yu,et al.  Graph indexing: a frequent structure-based approach , 2004, SIGMOD '04.

[28]  Mirek Riedewald,et al.  Finding relevant patterns in bursty sequences , 2008, Proc. VLDB Endow..

[29]  Hannu Toivonen,et al.  Sampling Large Databases for Association Rules , 1996, VLDB.

[30]  Lawrence B. Holder,et al.  Substucture Discovery in the SUBDUE System , 1994, KDD Workshop.