Abstract
The discovery of frequent patterns is one of the most important issues in the data mining area. A major difficulty concerning frequent patterns is huge amount of discovered patterns. The problem can be significantly alleviated by applying concise representations of frequent patterns. In this paper, we offer new lossless representations of frequent patterns that are derivable from downward closed representations by replacing the original elements and eventually some border ones with their closures. We show for which type of downward closed representations the additional closures are superfluous and for which they need to be stored. If the additional closures are not stored, the new representations are guaranteed to be not less concise than the original ones.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Agrawal, R., Imielinski, T., Swami, A.: Mining Associations Rules between Sets of Items in Large Databases. In: ACM SIGMOD, Washington, USA, pp. 207–216 (1993)
Bastide, Y., Taouil, R., Pasquier, N., Stumme, G., Lakhal, L.: Mining Frequent Patterns with Counting Inference. ACM SIGKDD Explorations 2(2), 66–75 (2000)
Bykowski, A., Rigotti, C.: A Condensed Representation to Find Frequent Patterns. In: PODS 2001. ACM SIGACT-SIGMOD-SIGART, USA, pp. 267–273 (2001)
Calders, T., Goethals, B.: Mining All Non-Derivable Frequent Itemsets. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) PKDD 2002. LNCS, vol. 2431, pp. 74–85. Springer, Heidelberg (2002)
Calders, T., Goethals, B.: Non-Derivable Itemset Mining. In: Data Mining and Knowledge Discovery, vol. 14, pp. 171–206. Kluwer Academic Publishers, Dordrecht (2007)
Casali, A., Cicchetti, R., Lakhal, L.: Essential Patterns: A Perfect Cover of Frequent Patterns. In: Tjoa, A.M., Trujillo, J. (eds.) DaWaK 2005. LNCS, vol. 3589, pp. 428–437. Springer, Heidelberg (2005)
Kryszkiewicz, M.: Concise Representation of Frequent Patterns Based on Disjunction–Free Generators. In: ICDM 2001, San Jose, California, USA, pp. 305–312 (2001)
Kryszkiewicz, M.: Concise Representations of Frequent Patterns and Association Rules. Publishing House of Warsaw University of Technology, Warsaw (2002)
Kryszkiewicz, M.: Reducing Infrequent Borders of Downward Complete Representations of Frequent Patterns. In: The First Symposium on Databases, Data Warehousing and Knowledge Discovery, Baden-Baden, Germany, pp. 29–42 (2003)
Kryszkiewicz, M.: Reducing Borders of k-Disjunction Free Representations of Frequent Patterns. In: ACM Symposium on Applied Computing (SAC), pp. 559–563. ACM, Nikosia (2004)
Kryszkiewicz, M.: Generalized Disjunction-Free Representation of Frequent Patterns with Negation. J. JETAI, 63–82 (2005)
Kryszkiewicz, M., Gajek, M.: Concise Representation of Frequent Patterns Based on Generalized Disjunction-Free Generators. In: Chen, M.-S., Yu, P.S., Liu, B. (eds.) PAKDD 2002. LNCS, vol. 2336, pp. 159–171. Springer, Heidelberg (2002)
Kryszkiewicz, M., Rybiński, H., Gajek, M.: Dataless Transitions between Concise Representations of Frequent Patterns. J. Int. Inf. Systems 22(1), 41–70 (2004)
Kryszkiewicz, M., Skonieczny, Ł.: Hierarchical Document Clustering Using Frequent Closed Sets. In: Advances in Soft Computing, pp. 489–498. Springer, Heidelberg (2006)
Mannila, H., Toivonen, H.: Multiple Uses of Frequent Sets and Condensed Representations. In: KDD 1996, Portland, USA, pp. 189–194 (1996)
Muhonen, J., Toivonen, H.: Closed Non-derivable Itemsets. In: Fürnkranz, J., Scheffer, T., Spiliopoulou, M. (eds.) PKDD 2006. LNCS, vol. 4213, pp. 601–608. Springer, Heidelberg (2006)
Nykiel, T., Rybinski, H.: Word Sense Discovery for Web Information Retrieval. In: MCD Workshop (ICDM) 2008, Piza (2008)
Pasquier, N., Bastide, Y., Taouil, R., Lakhal, L.: Efficient Mining of Association Rules Using Closed Itemset Lattices. J. Inf. Systems 24(1), 25–46 (1999)
Rybinski, H., Kryszkiewicz, M., Protaziuk, G., Jakubowski, A., Delteil, A.: Discovering Synonyms based on Frequent Termsets. In: Kryszkiewicz, M., Peters, J.F., Rybinski, H., Skowron, A. (eds.) RSEISP 2007. LNCS (LNAI), vol. 4585, pp. 516–525. Springer, Heidelberg (2007)
Rybinski, H., Kryszkiewicz, M., Protaziuk, G., Kontkiewicz, A., Marcinkowska, K., Delteil, A.: Discovering Word Meanings Based on Frequent Termsets. In: Raś, Z.W., Tsumoto, S., Zighed, D.A. (eds.) MCD 2007. LNCS, vol. 4944, pp. 82–92. Springer, Heidelberg (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kryszkiewicz, M. (2009). Closures of Downward Closed Representations of Frequent Patterns. In: Corchado, E., Wu, X., Oja, E., Herrero, Á., Baruque, B. (eds) Hybrid Artificial Intelligence Systems. HAIS 2009. Lecture Notes in Computer Science(), vol 5572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02319-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-02319-4_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02318-7
Online ISBN: 978-3-642-02319-4
eBook Packages: Computer ScienceComputer Science (R0)