Finding density-based subspace clusters in graphs with feature vectors

Data Mining and Knowledge Discovery - Tập 25 - Trang 243-269 - 2012
Stephan Günnemann1, Brigitte Boden1, Thomas Seidl1
1Data Management and Data Exploration Group, RWTH Aachen University, Aachen, Germany

Tóm tắt

Data sources representing attribute information in combination with network information are widely available in today’s applications. To realize the full potential for knowledge extraction, mining techniques like clustering should consider both information types simultaneously. Recent clustering approaches combine subspace clustering with dense subgraph mining to identify groups of objects that are similar in subsets of their attributes as well as densely connected within the network. While those approaches successfully circumvent the problem of full-space clustering, their limited cluster definitions are restricted to clusters of certain shapes. In this work we introduce a density-based cluster definition, which takes into account the attribute similarity in subspaces as well as a local graph density and enables us to detect clusters of arbitrary shape and size. Furthermore, we avoid redundancy in the result by selecting only the most interesting non-redundant clusters. Based on this model, we introduce the clustering algorithm DB-CSC, which uses a fixed point iteration method to efficiently determine the clustering solution. We prove the correctness and complexity of this fixed point iteration analytically. In thorough experiments we demonstrate the strength of DB-CSC in comparison to related approaches.

Tài liệu tham khảo

Aggarwal C, Wang H (2010) Managing and mining graph data. Springer, New York Agrawal R, Gehrke J, Gunopulos D, Raghavan P (1998) Automatic subspace clustering of high dimensional data for data mining applications. In: SIGMOD, pp 94–105. SIGMOD, Seattle Assent I, Krieger R, Müller E, Seidl T (2008) EDSC: efficient density-based subspace clustering. In: CIKM, pp 1093–1102. CIKM, Glasgow Beyer KS, Goldstein J, Ramakrishnan R, Shaft U (1999) When is ”nearest neighbor” meaningful? In: ICDT, pp 217–235. ICDT, Mont Blanc Dorogovtsev S, Goltsev A, Mendes J (2006) K-core organization of complex networks. Phys Rev Lett 96(4): 40–601 Du N, Wu B, Pei X, Wang B, Xu L (2007) Community detection in large-scale social networks. In: WebKDD/SNA-KDD, pp 16–25. SNA-KDD, San Jose Ester M, Kriegel HP, S J, Xu X (1996) A density-based algorithm for discovering clusters in large spatial databases with noise. In: KDD, pp 226–231. KDD, Portland Ester M, Ge R, Gao BJ, Hu Z, Ben-Moshe B (2006) Joint cluster analysis of attribute data and relationship data: the connected k-center problem. In: SDM. SDM, Bethesda Günnemann S, Müller E, Färber I, Seidl T (2009) Detection of orthogonal concepts in subspaces of high dimensional data. In: CIKM, pp 1317–1326. CIKM, Hong Kong Günnemann S, Färber I, Boden B, Seidl T (2010) Subspace clustering meets dense subgraph mining: a synthesis of two paradigms. In: ICDM, pp 845–850. ICDM, Sydney Günnemann S, Kremer H, Seidl T (2010) Subspace clustering for uncertain data. In: SDM, pp 385–396. SDM, Bethesda Günnemann S, Boden B, Seidl T (2011) DB-CSC: A density-based approach for subspace clustering in graphs with feature vectors. In: ECML/PKDD (1), pp 565–580. ECML, Athens Günnemann S, Färber I, Müller E, Assent I, Seidl T (2011) External evaluation measures for subspace clustering. In: CIKM, pp 1363–1372. CIKM, Glasgow Hanisch D, Zien A, Zimmer R, Lengauer T (2002) Co-clustering of biological networks and gene expression data. Bioinformatics 18: 145–154 Hinneburg A, Keim DA (1998) An efficient approach to clustering in large multimedia databases with noise. In: KDD, pp 58–65. KDD, New York Janson S, Luczak M (2007) A simple solution to the k-core problem. Rand Struct Algorithm 30(1–2): 50–62 Kailing K, Kriegel HP, Kroeger P (2004) Density-connected subspace clustering for high-dimensional data. In: SDM, pp 246–257. SDM, Bethesda Kriegel HP, Kröger P, Zimek A (2009) Clustering high-dimensional data: a survey on subspace clustering, pattern-based clustering, and correlation clustering. Trans Knowl Discov Data 3(1): 1–58 Kubica J, Moore AW, Schneider JG (2003) Tractable group detection on large link data sets. In: ICDM, pp 573–576. ICDM, Sydney Long B, Wu X, Zhang ZM, Yu PS (2006) Unsupervised learning on k-partite graphs. In: KDD, pp 317–326. KDD, Portland Long B, Zhang ZM, Yu PS (2007) A probabilistic framework for relational clustering. In: KDD, pp 470–479. KDD, Portland Moise G, Sander J (2008) Finding non-redundant, statistically significant regions in high dimensional data: a novel approach to projected and subspace clustering. In: KDD, pp 533–541. KDD, Portland Moser F, Colak R, Rafiey A, Ester M (2009) Mining cohesive patterns from graphs with feature vectors. In: SDM, pp 593–604. SDM, Bethesda Müller E, Assent I, Günnemann S, Krieger R, Seidl T (2009) Relevant subspace clustering: mining the most interesting non-redundant concepts in high dimensional data. In: ICDM, pp 377–386. ICDM, Sydney Müller E, Günnemann S, Assent I, Seidl T (2009) Evaluating clustering in subspace projections of high dimensional data. In: VLDB, pp 1270–1281. VLDB, Singapore Parsons L, Haque E, Liu H (2004) Subspace clustering for high dimensional data: a review. SIGKDD Explor 6(1): 90–105 Pei J, Jiang D, Zhang A (2005) On mining cross-graph quasi-cliques. In: KDD, pp 228–238. KDD, Portland Ruan J, Zhang W (2007) An efficient spectral algorithm for network community discovery and its applications to biological and social networks. In: ICDM, pp 643–648. ICDM, Sydney Ulitsky I, Shamir R (2007) Identification of functional modules using network topology and high-throughput data. BMC Syst Biol 1(1): 8 Zhou Y, Cheng H, Yu JX (2009) Graph clustering based on structural/attribute similarities. PVLDB 2(1): 718–729 Zhou Y, Cheng H, Yu JX (2010) Clustering large attributed graphs: an efficient incremental approach. In: ICDM, pp 689–698. ICDM, Sydney