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A Rough Set Framework for Learning in a Directed Acyclic Graph

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Rough Sets and Current Trends in Computing (RSCTC 2002)

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Abstract

Prediction of gene function from expression profiles introduces a new learning problem where the decision classes associated with the objects (i.e., genes) are organized in a directed acyclic graph (DAG). Standard learning methods such a Rough Sets assume that these classes are unrelated, and cannot handle this problem properly. To this end, we introduce an extended rough set framework with several new operators. We show how these operators can be used in an new learning algorithm.

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References

  1. M. P. S. Brown, W. N. Grundy, D. Lin, N. Cristianini, C. W. Sugnet, T. S. Furey, M. Ares, Jr., and D. Haussler. Knowledge-based analysis of microarray gene expression data by using support vector machines. PNAS, 97(1):262–267, 2000.

    Article  Google Scholar 

  2. The Gene Ontology Consortium. Gene ontology: tool for the unification of biology. Nature Genetics, 25(1):25–29, 2000.

    Article  Google Scholar 

  3. M. B. Eisen, P. T. Spellman, P. O. Brown, and D. Botstein. Cluster analysis and display of genome-wide expression patterns. PNAS, 95(25):14863–14868, 1998.

    Article  Google Scholar 

  4. S. Greco, B. Matarazzo, and R. Słowiński. A new rough set approach to multicriteria and multiattribute classification. In Proc. of the 1st Intl. Conf. on Rough Sets and Current Trends in Computing, LNAI 1424, pp. 60–67. Springer-Verlag, 1998.

    Google Scholar 

  5. J. W. Grzymala-Busse. LERS-A system for learning from examples based on rough sets. In Intelligent decision support: Handbook of Applications and Advances of Rough Sets Theory, pp. 3–18. Kluwer Academic Publishers, 1992.

    Google Scholar 

  6. T. R. Hvidsten, J. Komorowski, A. K. Sandvik, and A. Lægreid. Predicting gene function from gene expressions and ontologies. In Proceedings of the Pacific Symposium on Biocomputing 6 (PSB-2001), pp. 299–310. World Scientific Press, 2001.

    Google Scholar 

  7. J. Komorowski, Z. Pawlak, L. Polkowski, and A. Skowron. A rough set perspective on data and knowledge. In Rough Fuzzy Hybridization, pp. 107–121. Springer-Verlag, 1999.

    Google Scholar 

  8. J. Małuszyński and A. Vitoria. Towards rough datalog: embedding rough sets in prolog. To appear in Rough-Neuro Computing, AI series. Springer-Verlag, 2002.

    Google Scholar 

  9. H. Midelfart, A. Lægreid, and J. Komorowski. Classification of gene expression data in an ontology. In Proceedings of Second Symposium on Medical Data Analysis (ISMDA-2001), LNCS 2199, pp. 186–194. Springer-Verlag, 2001.

    Google Scholar 

  10. Z. Pawlak. Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, 1991.

    Google Scholar 

  11. M. Schena, D. Shalon, R. Davis, and P. Brown. Quantitative monitoring of gene expression patterns with a complementary DNA microarray. Science, 270:467–470, 1995.

    Article  Google Scholar 

  12. R. Sokal and C. Mitchener. A statistical method for evaluation systematic relationships. University of Kansas Science Bulletin, 38:1409–1438, 1958.

    Google Scholar 

  13. W. Ziarko. Variable precision rough set model. Journal of Computer and System Sciences, 46:39–59, 1993.

    Article  MATH  MathSciNet  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Midelfart, H., Komorowski, J. (2002). A Rough Set Framework for Learning in a Directed Acyclic Graph. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds) Rough Sets and Current Trends in Computing. RSCTC 2002. Lecture Notes in Computer Science(), vol 2475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45813-1_18

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  • DOI: https://doi.org/10.1007/3-540-45813-1_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44274-5

  • Online ISBN: 978-3-540-45813-5

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