A DISTRIBUTED ALGORITHM FOR FORMAL CONCEPTS PROCESSING BASED ON SEARCH SUBSPACES

Nilander R. M. de Moraes, Luis E. Zárate, Henrique C. Freitas

2010

Abstract

The processing of dense contexts is a common problem in Formal Concept Analysis. From input contexts, all possible combinations must be evaluated in order to obtain all correlations between objects and attributes. The state-of-the-art shows that this problem can be solved through distributed processing. Partial concepts would be obtained from a distributed environment composed of machine clusters in order to achieve the final set of concepts. Therefore, the goal of this paper is to propose, develop, and evaluate a distributed algorithm with high performance to solve the problem of dense contexts. The speedup achieved through the distributed algorithm shows an improvement of performance, but mainly, a high-balance workload which reduces the processing time considerably. For this reason, the main contribution of this paper is the distributed algorithm, capable of accelerating the processing for dense formal contexts.

References

  1. Carpineto, C. and Romano, G. (2004). Concept Data Analysis: Theory and Applications. John Wiley and Sons.
  2. Fu, H. and Nguifo, E. (2003). Partitioning large data to scale up lattice-based algorithm. Tools with Artificial Intelligence, 2003. Proceedings. 15th IEEE International Conference on, pages 537-541.
  3. Ganter, B. (2002). Formal concepts analisys: algorithmic aspects. TU Dresden, Germany, Tech. Report.
  4. Ganter, B. and Wille, R. (1997). Formal Concept Analysis: Mathematical Foundations. Springer-Verlag New York, Inc., Secaucus, NJ, USA. Translator-Franzke, C.
  5. Hu, X., Wei, X., Wang, D., and Ii, P. (2007). A parallel algorithm to construct concept lattice. Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on, 2:119-123.
  6. Qi, H., Liu, D., Hu, C., Lu, M., and Zhao, L. (2004). A parallel algorithm based on search space partition for generating concepts. IEEE, (1):241-248.
  7. Rimsa, A., Zárate, L. E., and Song, M. A. J. (2009). Handling large formal context using bdd - perspectives and limitations. In Proceedings of the 7th International Conference on Formal Concept Analysis (ICFCA 2009), volume 5548 of LNCS/LNAI, pages 194-206, Darmstadt, Germany. Springer-Verlag.
  8. yun Li, Liu, Z.-T., Shen, X.-J., Wu, Q., and Qiang, Y. (2003). Theoretical research on the distributed construction of concept lattices. In Machine Learning and Cybernetics, 2003 International Conference on, volume 1, pages 474-479 Vol.1.
Download


Paper Citation


in Harvard Style

R. M. de Moraes N., E. Zárate L. and C. Freitas H. (2010). A DISTRIBUTED ALGORITHM FOR FORMAL CONCEPTS PROCESSING BASED ON SEARCH SUBSPACES . In Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 1: ICEIS, ISBN 978-989-8425-04-1, pages 105-111. DOI: 10.5220/0002976801050111


in Bibtex Style

@conference{iceis10,
author={Nilander R. M. de Moraes and Luis E. Zárate and Henrique C. Freitas},
title={A DISTRIBUTED ALGORITHM FOR FORMAL CONCEPTS PROCESSING BASED ON SEARCH SUBSPACES},
booktitle={Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 1: ICEIS,},
year={2010},
pages={105-111},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002976801050111},
isbn={978-989-8425-04-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 1: ICEIS,
TI - A DISTRIBUTED ALGORITHM FOR FORMAL CONCEPTS PROCESSING BASED ON SEARCH SUBSPACES
SN - 978-989-8425-04-1
AU - R. M. de Moraes N.
AU - E. Zárate L.
AU - C. Freitas H.
PY - 2010
SP - 105
EP - 111
DO - 10.5220/0002976801050111