Abstract
Support Vector Machines constitute a powerful Machine Learning technique originally designed for the solution of 2-class problems. In multiclass applications, many works divide the whole problem in multiple binary subtasks, whose results are then combined. This paper introduces a new framework for multiclass Support Vector Machines generation from binary predictors. Minimum Spanning Trees are used in the obtainment of a hierarchy of binary classifiers composing the multiclass solution. Different criteria were tested in the tree design and the results obtained evidence the efficiency of the proposed approach, which is able to produce good hierarchical multiclass solutions in polynomial time.
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Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms and Applications. Prentice Hall, Englewood Cliffs (1993)
Allwein, E.L., Shapire, R.E., Singer, Y.: Reducing Multiclass to Binary: a Unifying Approach for Margin Classifiers. In: Proc. of the 17th ICML, pp. 9–16 (2000)
Chang, C.-C., Lin, C.-J.: LIBSVM: a library for support vector machines, http://www.csie.ntu.edu.tw/~cjlin/libsvm/
Cheong, S., Oh, S.H., Lee, S.-Y.: Support Vector Machines with Binary Tree Architecture for Multi-Class Classification. Neural Information Processing - Letters and Reviews 2(3), 47–50 (2004)
Cristianini, N., Taylor, J.S.: An Introduction to Support Vector Machines. Cambridge University Press, Cambridge (2000)
Dietterich, T.G., Bariki, G.: Solving Multiclass Learning Problems via Error-Correcting Output Codes. JAIR 2, 263–286 (1995)
Ding, C.H.Q., Dubchak, I.: Multi-class Protein Fold Recognition using Support Vector Machines and Neural Networks. Bioinformatics 4(17), 349–358 (2001)
Kreβel, U.: Pairwise Classification and Support Vector Machines. In: Scholkopf, B., Burges, C.J.C., Smola, A.J. (eds.) Advances in Kernel Methods - Support Vector Learning, pp. 185–208. MIT Press, Cambridge (1999)
Platt, J.C., Cristianini, N., Shawe-Taylor, J.: Large Margin DAGs for Multiclass Classification. In: Solla, S.A., Leen, T.K., Müller, K.-R. (eds.) Advances in Neural Information Processing Systems, vol. 12, pp. 547–553. MIT Press, Cambridge (2000)
Rifkin, R., Klautau, A.: In Defense of One-Vs-All Classification. JMLR 5 (2004) ISSN 1533–7928
Salzberg, S.L.: On Comparing Classifiers: Pitfalls to Avoid and a Recommended Approach. Data Mining and Knowledge Discovery 1, 317–328 (1997)
Schwenker, F.: Hierarchical Support Vector Machines for Multi-Class Pattern Recognition. In: Proc. of the 4th Int Conf. on Knowledge-based Intelligent Engineering Systems and Allied Technologies, pp. 561–565. IEEE Computer Society Press, Los Alamitos (2000)
University of California Irvine: UCI benchmark repository - a huge collection of artificial and real-world datasets, http://www.ics.uci.edu/~mlearn
Vapnik, V.N.: Statistical Learning Theory. John Wiley and Sons, New York (1998)
Vural, V., Dy, J.G.: A Hierarchical Method for Multi-Class Support Vector Machines. In: Proc. of the 21st ICML (2004)
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Lorena, A.C., de Carvalho, A.C.P.L.F. (2005). Minimum Spanning Trees in Hierarchical Multiclass Support Vector Machines Generation. In: Ali, M., Esposito, F. (eds) Innovations in Applied Artificial Intelligence. IEA/AIE 2005. Lecture Notes in Computer Science(), vol 3533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11504894_59
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DOI: https://doi.org/10.1007/11504894_59
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26551-1
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