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Efficient mining of all margin-closed itemsets with applications in temporal knowledge discovery and classification by compression

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Abstract

Margin-closed itemsets have previously been proposed as a subset of the closed itemsets with a minimum margin constraint on the difference in support to supersets. The constraint reduces redundancy in the set of reported patterns favoring longer, more specific patterns. A variety of patterns ranging from rare specific itemsets to frequent general itemsets is reported to support exploratory data analysis and understandable classification models. We present DCI_Margin, a new efficient algorithm that mines the complete set of margin-closed itemsets. We modified the DCI_Closed algorithm that has low memory requirements and can be parallelized. The margin constraint is checked on-the-fly reusing information already computed by DCI_Closed. We thoroughly analyzed the behavior on many datasets and show how other data mining algorithms can benefit from the redundancy reduction.

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References

  1. Afrati F, Gionis A, Mannila H (2004) Approximating a collection of frequent sets, In: Proceedings of 10th ACM SIGKDD international conference on Knowledge Discovery and Data Mining. ACM Press, pp 12–19

  2. Agrawal R, Imielinski T, Swami AN (1993) Mining association rules between sets of items in large databases. In: Proceedings of ACM SIGMOD international conference on Management of Data. ACM Press, pp 207–216.

  3. Agrawal R, Srikant R (1995) Mining sequential patterns. In: Yu PS and Chen ASP (eds) Proceedings of 11th international conference on data engineering. pp 3–14

  4. Asuncion A, Newman D (2007) UCI machine learning repository. http://www.ics.uci.edu/~mlearn/MLRepository.html

  5. Beil F, Ester M, Xu X (2002) Frequent term-based text clustering, In: Proceedings of 8th international conference on knowledge discovery and data mining. pp 436–442

  6. Boley M, Grosskreutz H (2009) Approximating the number of frequent sets in dense data. Knowl Inf Syst 21(1): 65–89

    Article  Google Scholar 

  7. Bonchi F, Lucchese C (2005) Pushing tougher constraints in frequent pattern mining, In: Proceedings of Pacific-Asia conference on knowledge discovery and data Mining. pp 114–124

  8. Bonchi F, Lucchese C (2006) On condensed representations of constrained frequent patterns. Knowl Inf Syst 9(2): 180–201

    Article  Google Scholar 

  9. Bonchi F, Lucchese C (2007) Extending the state-of-the-art of constraint-based pattern discovery. Data Min Knowl Discov 60(2): 377–399

    Google Scholar 

  10. Boulicaut J-F, Bykowski A (2000) Frequent closures as a concise representation for binary data mining. In: Proceedings of Pacific-Asia conference on knowledge discovery and data mining. pp 62–73

  11. Boulicaut J-F, Bykowski A, Rigotti C (2003) Free-sets: a condensed representation of boolean data for the approximation of frequency queries. Data Min Knowl Discov 7(1): 5–22

    Article  MathSciNet  Google Scholar 

  12. Bringmann B, Zimmermann A (2009) One in a million: picking the right patterns. Knowl Inf Syst 18(1): 61–81

    Article  Google Scholar 

  13. Bykowski A, Rigotti C (2001) A condensed representation to find frequent patterns. In: Proceedings of 20th ACM SIGMOD-SIGACT-SIGART symposium on principles of database systems. ACM Press, pp 267–273

  14. Calders T, Goethals B (2002) Mining all non-derivable frequent itemsets. In: Proceedings of 6th European conference on principles of data mining and knowledge discovery. Springer, pp 74–85

  15. Calders T, Goethals B (2003) Minimal k-free representations of frequent sets, In: Proceedings of 7th European conference on principles and practice of knowledge discovery in databases. Springer, pp 71–82

  16. Calders T, Goethals B (2007) Non-derivable itemset mining. Data Min Knowl Discov 14(1): 171–206

    Article  MathSciNet  Google Scholar 

  17. Calders T, Goethals B, Mampaey M (2007) Mining itemsets in the presence of missing values. In: Proceedings of international symposium on applied computing. ACM, pp 404–408

  18. Calders T, Rigotti C, Boulicaut J-F (2006) A survey on condensed representations for frequent sets. In: Constraint-based mining and inductive databases. pp 64–80

  19. Cheng H, Yan X, Han J, Hsu C (2007) Discriminative frequent pattern analysis for effective classification. In: Proceedings of IEEE international conference on data engineering. pp 716–725

  20. Cheng H, Yu PS, Han J (2006) AC-Close: efficiently mining approximate closed itemsets by core pattern recovery. In: Proceedings of IEEE international conference on data mining. IEEE pp 839–844

  21. Cheng H, Yu PS, Han J (2008) Approximate frequent itemset mining in the presence of random noise. In: Soft computing for knowledge discovery and data Mining. Springer, pp 363–389

  22. Cheng J, Ke Y, Ng W (2006) δ-tolerance closed frequent itemsets. In: Proceedings of 6th IEEE international conference on data mining. IEEE Press, pp 139–148

  23. Coenen F (2003) The LUCS-KDD discretised/normalised ARM and CARM data library. http://www.csc.liv.ac.uk/~frans/KDD/Software/LUCS_KDD_DN/

  24. De Raedt L, Guns T, Nijssen S (2008) Constraint programming for itemset mining. In: Proceedings of 14th ACM SIGKDD international conference on knowledge discovery and data mining. ACM, pp 204–212

  25. Faloutsos C, Megalooikonomou V (2007) On data mining, compression, and kolmogorov complexity. Data Min Knowl Discov 15(1): 3–20

    Article  MathSciNet  Google Scholar 

  26. Fung B, Wang K, Ester M (2003) Hierarchical document clustering using frequent itemsets, In: Proceedings of SIAM international conference on data mining

  27. Gallo A, De Bie T, Cristianini N (2007) Mini: Mining informative non-redundant itemsets, In: Proceedings of European symposium on principles of data mining and knowledge Discovery. pp 438–445

  28. Garriga G (2005) Summarizing sequential data with closed partial orders. In: Proceedings of 5th SIAM international conference on data mining. SIAM, pp 380–391

  29. Garriga G, Kralj P, Lavrac N (2006) Closed sets for labeled data. In: Proceedings of European conference on principles and practice of knowledge discovery in databases. pp 163–174

  30. Geerts F, Goethals B, Mielikäinen T (2004) Tiling databases. In: Proceedings of discovery science. pp 278–289

  31. Goethals B, Zaki M (2003) FIMI ’03, frequent itemset mining implementations, In: Proceedings of ICDM 2003 workshop on frequent itemset mining implementations

  32. Grice H (1989) Studies in the way of Words. Harvard University Press, Cambridge

    Google Scholar 

  33. Gupta R, Fang G, Field B, Steinbach M, Kumar V (2008) Quantitative evaluation of approximate frequent pattern mining algorithms. In: Proceedings of 14th ACM SIGKDD international conference on knowledge discovery and data Mining. ACM, pp 301–309

  34. Han J, Pei J (2001) Pattern growth methods for sequential pattern mining: Principles and extensions, In: Workshop on temporal data mining, 7th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press

  35. Han J, Pei J, Yin Y (2000) Mining frequent patterns without candidate generation. In: Proceedings of ACM SIGMOD international conference on management of data. ACM Press, pp 1–12

  36. Hipp J, Güntzer U, Nakhaeizadeh G (2000) Algorithms for association rule mining—a general survey and comparison. SIGKDD Explor 2(1): 58–64

    Article  Google Scholar 

  37. Keogh E, Lonardi S, Ratanamahatana C, Wei L, Lee S, Handley J (2007) Compression-based data mining of sequential data. Data Min Knowl Discov 14(1): 99–129

    Article  MathSciNet  Google Scholar 

  38. Kohavi R, Brodley C, Frasca B, Mason L, Zheng Z (2000) ‘KDD-Cup 2000 organizers’ report: Peeling the onion. SIGKDD Explor 2(2): 86–98. http://www.ecn.purdue.edu/KDDCUP

  39. Kryszkiewicz M (2001) Concise representation of frequent patterns based on disjunction-free generators, In: Proceedings of 1st IEEE international conference on data mining. IEEE Press, pp 305–312

  40. Kuramochi M, Karypis G (2001) Frequent subgraph discovery. In: Proceedings of IEEE international conference on data mining, pp 313–320

  41. Li J, Li H, Wong L, Pei J, Dong G (2006) Minimum description length principle: generators are preferable to closed patterns. In: Proceedings of AAAI, pp 409–414

  42. Li W, Han J, Pei J (2001) CMAR: Accurate and efficient classification based on multiple class-association rules. In: Proceedings of IEEE international conference on data mining. pp 369–376

  43. Liu B, Hsu W, Ma Y (1998) Integrating classification and association rule mining. In: Proceedings of international conference on knowledge discovery and data mining. pp 80–86

  44. Liu G, Li J, Wong L (2008) A new concise representation of frequent itemsets using generators and a positive border. Knowl Inf Syst 17(1): 35–56

    Article  MathSciNet  Google Scholar 

  45. Liu J, Paulsen S, Wang W, Nobel A, Prins J (2005) Mining approximate frequent itemsets from noisy data. In: Proceedings of 5th international conference data mining. IEEE, pp 721–724

  46. Lucchese C, Orlando S, Perego R (2006a) Fast and memory efficient mining of frequent closed itemsets. IEEE Trans Knowl Data Eng 18(1): 21–36

    Article  Google Scholar 

  47. Lucchese C, Orlando S, Perego R (2006b) Mining frequent closed itemsets out of core, In: Proceedings of the 6th SIAM international conference on data mining (SDM’06)

  48. Lucchese C, Orlando S, Perego R (2007) Parallel mining of frequent closed patterns: harnessing modern computer architectures. In: Proceedings IEEE international conference on data mining

  49. Malik H, Kender J (2006) High quality, efficient hierarchical document clustering using closed interesting itemsets. In: Proceedings of IEEE international conference on data mining. pp 991–996

  50. Mielikäinen T. (2005) Summarization techniques for pattern collections in data mining, PhD thesis, University of Helsinki, Finland

  51. Mörchen F (2006) Algorithms for time series knowledge mining, In: Proceedings 12th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press, pp 668–673

  52. Mörchen F, Ultsch A (2007) Efficient mining of understandable patterns from multivariate interval time series. Data Min Knowl Discov 15(2): 181–215

    Article  MathSciNet  Google Scholar 

  53. Muhonen J, Toivonen H (2006) Closed non-derivable itemsets. In: Proceedings European symposium on principles of data mining and knowledge discovery. pp 601–608

  54. Ng R, Lakshmanan LV, Han J, Pang A (1998) Exploratory mining and pruning optimizations of constrained associations rules. In: Proceedings of ACM SIGMOD conference on management of Data. ACM, pp 13–24

  55. Nijssen S, Fromont E (2007) Mining optimal decision trees from itemset lattices. In: Proceedings of international conference on knowledge discovery and data mining. ACM, pp 530–539

  56. Pasquier N, Bastide Y, Taouil R, Lakhal L (1999) Discovering frequent closed itemsets for association rules. In: Proceedings of 7th international conference on database theory. Springer, pp 398–416

  57. Pei J, Dong G, Zou W, Han J (2002) On computing condensed frequent pattern bases. In: Proceedings of 2nd IEEE international conference on data mining. IEEE Press, pp 378–385

  58. Pei J, Han J, Lakshmanan LVS (2001) Mining frequent itemsets with convertible constraints. In: Proceedings of IEEE international conference on data Engineering. IEEE, pp 433–442

  59. Pei J, Tung AK, Han J (2001) Fault-tolerant frequent pattern mining: problems and challenges. In: Workshop on research issues in data mining and knowledge discovery, 20th ACM SIGMOD-SIGACT-SIGART symposium on principles of database systems

  60. Pei J, Wang H, Liu J, Wang K, Wang J, Yu P (2006) Discovering frequent closed partial orders from strings. IEEE Trans Knowl Data Eng 18(11): 1467–1481

    Article  Google Scholar 

  61. Pudi V, Haritsa J (2003) Generalized closed itemsets for association rule mining. In: Proceedings of 19th international conference on data engineering. IEEE Press pp 714–716

  62. Seppänen J, Mannila H (2004) Dense itemsets. In: Proceedings of 10th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press, pp 683–688

  63. Siebes A (2006) Item sets that compress. In: Proceedings of SIAM Conference on data mining. pp 393–404

  64. Song G, Yang D, Cui B, Zheng B, Liu Y, Xie K (2007) CLAIM: An efficient method for relaxed frequent closed itemsets mining over stream data. In: Proceedings of 12th international conference on database systems for advanced applications. Springer, pp 664–675

  65. Srikant R, Vu Q, Agrawal R (1997) Mining association rules with item constraints, In: Proceedings of international conference on knowledge discovery and data mining. ACM, pp 67–73

  66. Sripada SG, Reiter E, Hunter J (2003) Generating English summaries of time series data using the Gricean maxims, In: Proceedings of 9th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press, pp 187–196

  67. Tatti N (2007) Maximum entropy based significance of itemsets. In: Proceedings of IEEE international conference on data mining. pp 312–321

  68. Tatti N (2008) Maximum entropy based significance of itemsets. Knowl Inf Syst 17(1): 57–77

    Article  Google Scholar 

  69. Uno T, Arimura H (2007) An efficient polynomial delay algorithm for pseudo frequent itemset mining. In: Proceedings of 10th international conference discovery science. Springer, pp 219–230

  70. Van Leeuwen M, Siebes A (2008) StreamKrimp: Detecting change in data streams. In: Proceedings of European conference on machine learning and principles and practices of knowledge discovery in data. pp 765–774

  71. van Leeuwen M, Vreeken J, Siebes A (2006) Compression picks item sets that matter, In: Proceedings of European conference on principles and practice of knowledge discovery in databases. pp 585–592

  72. Vreeken J, Siebes A (2008) Filling in the blanks—Krimp minimisation for missing data. In: Proceedings of 8th IEEE international conference on data mining. pp 1067–1072

  73. Wang J, Karypis G (2006) On mining instance-centric classification rules. IEEE Trans Knowl Data Eng 18(11): 1497–1511

    Article  Google Scholar 

  74. Wang K, Xu C, Liu B (1999) Clustering transactions using large items. In: Conference on information and knowledge management. pp 483–490

  75. Webb GI (2007) Discovering significant patterns. Mach Learn 68(1): 1–33

    Article  Google Scholar 

  76. Xin D, Han J, Yan X, Cheng H (2005) Mining compressed frequent-pattern sets. In: Proceedings of 31st international conference on very large data bases. pp 709–720

  77. Yahia SB, Hamrouni T, Mephu Nguifo E (2006) Frequent closed itemset based algorithms: a thorough structural and analytical survey. ACM SIGKDD Explor 8(1): 93–104

    Article  Google Scholar 

  78. Yan X, Cheng H, Han J, Xin D (2005) Summarizing itemset patterns: a profile-based approach, In: Proceedings of 11th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press, pp 314–323

  79. Yang C, Fayyad U, Bradley P (2001) Efficient discovery of error-tolerant frequent itemsets in high dimensions, In: Proceedings of 7th ACM SIGKDD international conference on knowledge discovery and data mining. ACM Press, pp 194–203

  80. Yin X, Han J (2003) CPAR: Classification based on predictive association rules. In: Proceedings of SIAM international conference on data mining

  81. Zaki M (2004) Mining non-redundant association rules. Data Min Knowl Discov 9(3): 223–248

    Article  MathSciNet  Google Scholar 

  82. Zaki M, Hsiao C-J (2002) CHARM: An efficient algorithm for closed itemset mining. In: Proceedings of 2nd SIAM international conference on data mining SIAM. pp 457–473

  83. Zhao Y, Karypis G (2002) Evaluation of hierarchical clustering algorithms for document datasets. In: Proceedings of 11th Conference of information and knowledge management. pp 515–524

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Moerchen, F., Thies, M. & Ultsch, A. Efficient mining of all margin-closed itemsets with applications in temporal knowledge discovery and classification by compression. Knowl Inf Syst 29, 55–80 (2011). https://doi.org/10.1007/s10115-010-0329-5

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