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Learning Aggregate Functions with Neural Networks Using a Cascade-Correlation Approach

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Inductive Logic Programming (ILP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5194))

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Abstract

In various application domains, data can be represented as bags of vectors. Learning functions over such bags is a challenging problem. In this paper, a neural network approach, based on cascade-correlation networks, is proposed to handle this kind of data. By defining special aggregation units that are integrated in the network, a general framework to learn functions over bags is obtained. Results on both artificially created and real-world data sets are reported.

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References

  1. Blockeel, H., Bruynooghe, M.: Aggregation versus selection bias, and relational neural networks. In: Getoor, L., Jensen, D. (eds.) IJCAI 2003 Workshop on Learning Statistical Models from Relational Data, SRL 2003, Acapulco, Mexico (2003)

    Google Scholar 

  2. Knobbe, A., Siebes, A., Marseille, B.: Involving aggregate functions in multi-relational search. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) PKDD 2002. LNCS (LNAI), vol. 2431, pp. 287–298. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Krogel, M.A., Wrobel, S.: Transformation-based learning using multirelational aggregation. In: Rouveirol, C., Sebag, M. (eds.) ILP 2001. LNCS (LNAI), vol. 2157, pp. 142–155. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Vens, C., Ramon, J., Blockeel, H.: Refining aggregate conditions in relational learning. In: Fürnkranz, J., Scheffer, T., Spiliopoulou, M. (eds.) PKDD 2006. LNCS (LNAI), vol. 4213, pp. 383–394. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  5. Vens, C., Van Assche, A., Blockeel, H., Dzeroski, S.: First order random forests with complex aggregates. In: Camacho, R., King, R., Srinivasan, A. (eds.) ILP 2004. LNCS (LNAI), vol. 3194, pp. 323–340. Springer, Heidelberg (2004)

    Google Scholar 

  6. Van Assche, A., Vens, C., Blockeel, H., Dzeroski, S.: First order random forests: Learning relational classifiers with complex aggregates. Machine Learning 64(1-3), 149–182 (2006)

    Article  MATH  Google Scholar 

  7. Uwents, W., Blockeel, H.: Classifying relational data with neural networks. In: Kramer, S., Pfahringer, B. (eds.) ILP 2005. LNCS (LNAI), vol. 3625, pp. 384–396. Springer, Heidelberg (2005)

    Google Scholar 

  8. Uwents, W., Monfardini, G., Blokeel, H., Scarsello, F., Gori, M.: Two connectionists models for graph processing: An experimental comparison on relational data. In: MLG 2006, Proceedings on the International Workshop on Mining and Learning with Graphs, pp. 211–220 (2006)

    Google Scholar 

  9. Fahlman, S.E., Lebiere, C.: The cascade-correlation learning architecture. In: Touretzky, D.S. (ed.) Advances in Neural Information Processing Systems. Denver 1989, vol. 2, pp. 524–532. Morgan Kaufmann, San Mateo (1990)

    Google Scholar 

  10. Ramon, J., De Raedt, L.: Multi instance neural networks. In: Raedt, L.D., Kramer, S. (eds.) Proceedings of the ICML-2000 workshop on attribute-value and relational learning, pp. 53–60 (2000)

    Google Scholar 

  11. Werbos, P.J.: Back propagation through time: What it does and how to do it. Proceedings of the IEEE 78, 1550–1560 (1990)

    Article  Google Scholar 

  12. Riedmiller, M., Braun, H.: A direct adaptive method for faster backpropagation learning: The RPROP algorithm. In: Proc. of the IEEE Intl. Conf. on Neural Networks, San Francisco, CA, pp. 586–591 (1993)

    Google Scholar 

  13. Michie, D., Muggleton, S., Page, D., Srinivasan, A.: To the international computing community: A new east-west challenge. Technical report, Oxford University Computing Laboratory, Oxford, UK (1994)

    Google Scholar 

  14. Dietterich, T.G., Lathrop, R.H., Lozano-Perez, T.: Solving the multiple instance problem with axis-parallel rectangles. Artificial Intelligence 89(1-2), 31–71 (1997)

    Article  MATH  Google Scholar 

  15. Wang, C., Scott, S.D., Zhang, J., Tao, Q., Fomenko, D.E., Gladyshev, V.N.: A study in modeling low-conservation protein superfamilies. Technical Report UNL-CSE-2004-0003, University of Nebraska (2004)

    Google Scholar 

  16. Berka, P.: Guide to the financial data set. In: Siebes, A., Berka, P. (eds.) The ECML/PKDD 2000 Discovery Challenge (2000)

    Google Scholar 

  17. Vens, C.: Complex aggregates in relational learning. PhD thesis, Department of Computer Science, KULeuven (2007)

    Google Scholar 

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Filip Železný Nada Lavrač

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Uwents, W., Blockeel, H. (2008). Learning Aggregate Functions with Neural Networks Using a Cascade-Correlation Approach. In: Železný, F., Lavrač, N. (eds) Inductive Logic Programming. ILP 2008. Lecture Notes in Computer Science(), vol 5194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85928-4_24

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  • DOI: https://doi.org/10.1007/978-3-540-85928-4_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85927-7

  • Online ISBN: 978-3-540-85928-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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