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Performance evaluation of multiobjective multiclass support vector machines maximizing geometric margins
1.  Graduate School of Engineering, Osaka University, YamadaOka 12, Suita, Osaka 5650871, Japan, Japan, Japan, Japan 
References:
[1] 
S. Abe, "Support Vector Machines for Pattern Classification,", SpringerVerlag, (2005). 
[2] 
F. Alizadeh and D. Goldfarb, Secondorder cone programming,, Mathematical Programming, 95 (2003), 3. 
[3] 
L. Bottou, C. Cortes, J. Denker, H. Drucker, I. Guyon, L. Jackel, Y. LeCun, U. Muller, E. Sackinger, P. Simard and V. Vapnik, Comparison of classifier methods: A case study in handwriting digit recognition,, in, (1994), 77. 
[4] 
E. J. Bredensteiner and K. P. Bennett, Multicategory classification by support vector machines,, Computational Optimization and Applications, 12 (1999), 53. doi: 10.1023/A:1008663629662. 
[5] 
M. Ehrgott, "Multicriteria Optimization,'', 2^{nd} edition, (2005). 
[6] 
Y. Guermeur, Combining discriminant models with new multiclass SVMs,, Neuro COLT2 Technical Report Series, (2000). 
[7] 
U. Kressel, Pairwise classification and support vector machines,, in, (1999), 255. 
[8] 
C. W. Hsh and C. J. Lin, A comparison of methods for multiclass support vector machines,, IEEE Trans. Neural Networks, 13 (2002), 181. 
[9] 
H. D. Mittelmann, An independent benchmarking of SDP and SOCP solvers,, Mathematical Programming, 95 (2003), 407. 
[10] 
K. R. Müller, S. Mika, G. Rätsch, K. Tsuda and B. Shölkopf, An introduction to kernelbased learning algorithms,, IEEE Trans. Neural Networks, 12 (2001), 181. doi: 10.1109/72.914517. 
[11] 
A. Passerini, M. Pontil and P. Frasconi, New results on error correcting output codes of kernel machines,, IEEE Trans. Neural Networks, 14 (2004), 45. doi: 10.1109/TNN.2003.820841. 
[12] 
J. C. Platt, N. Cristianini and J. ShaweTaylor, Large margin DAG's for multiclass classification,, in, 12 (2000), 547. 
[13] 
K. Tatsumi, K. Hayashida, H. Higashi and T. Tanino, Multiobjective multiclass support vector machine for pattern recognition,, in, (2007), 1095. doi: 10.1109/SICE.2007.4421147. 
[14] 
K. Tatsumi, R. Kawachi, K. Hayashida and T. Tanino, Multiobjective multiclass support vector machines maximizing geometric margins,, Pacific Journal of Optimization, 6 (2000), 115. 
[15] 
J. S. Taylor and N. Cristianini, "Kernel Methods for Pattern Analysis,'', Cambridge University Press, (2004). 
[16] 
, UCI benchmark repository of artificial and real data sets, University of California Irvine,, Available from: , (). 
[17] 
J. Weston and C. Watkins, Multiclass support vector machines,, Technical report CSDTR9804, (1998), 98. 
[18] 
V. N. Vapnik, "Statistical Learning Theory,'', A WileyInterscience Publication, (1998). 
show all references
References:
[1] 
S. Abe, "Support Vector Machines for Pattern Classification,", SpringerVerlag, (2005). 
[2] 
F. Alizadeh and D. Goldfarb, Secondorder cone programming,, Mathematical Programming, 95 (2003), 3. 
[3] 
L. Bottou, C. Cortes, J. Denker, H. Drucker, I. Guyon, L. Jackel, Y. LeCun, U. Muller, E. Sackinger, P. Simard and V. Vapnik, Comparison of classifier methods: A case study in handwriting digit recognition,, in, (1994), 77. 
[4] 
E. J. Bredensteiner and K. P. Bennett, Multicategory classification by support vector machines,, Computational Optimization and Applications, 12 (1999), 53. doi: 10.1023/A:1008663629662. 
[5] 
M. Ehrgott, "Multicriteria Optimization,'', 2^{nd} edition, (2005). 
[6] 
Y. Guermeur, Combining discriminant models with new multiclass SVMs,, Neuro COLT2 Technical Report Series, (2000). 
[7] 
U. Kressel, Pairwise classification and support vector machines,, in, (1999), 255. 
[8] 
C. W. Hsh and C. J. Lin, A comparison of methods for multiclass support vector machines,, IEEE Trans. Neural Networks, 13 (2002), 181. 
[9] 
H. D. Mittelmann, An independent benchmarking of SDP and SOCP solvers,, Mathematical Programming, 95 (2003), 407. 
[10] 
K. R. Müller, S. Mika, G. Rätsch, K. Tsuda and B. Shölkopf, An introduction to kernelbased learning algorithms,, IEEE Trans. Neural Networks, 12 (2001), 181. doi: 10.1109/72.914517. 
[11] 
A. Passerini, M. Pontil and P. Frasconi, New results on error correcting output codes of kernel machines,, IEEE Trans. Neural Networks, 14 (2004), 45. doi: 10.1109/TNN.2003.820841. 
[12] 
J. C. Platt, N. Cristianini and J. ShaweTaylor, Large margin DAG's for multiclass classification,, in, 12 (2000), 547. 
[13] 
K. Tatsumi, K. Hayashida, H. Higashi and T. Tanino, Multiobjective multiclass support vector machine for pattern recognition,, in, (2007), 1095. doi: 10.1109/SICE.2007.4421147. 
[14] 
K. Tatsumi, R. Kawachi, K. Hayashida and T. Tanino, Multiobjective multiclass support vector machines maximizing geometric margins,, Pacific Journal of Optimization, 6 (2000), 115. 
[15] 
J. S. Taylor and N. Cristianini, "Kernel Methods for Pattern Analysis,'', Cambridge University Press, (2004). 
[16] 
, UCI benchmark repository of artificial and real data sets, University of California Irvine,, Available from: , (). 
[17] 
J. Weston and C. Watkins, Multiclass support vector machines,, Technical report CSDTR9804, (1998), 98. 
[18] 
V. N. Vapnik, "Statistical Learning Theory,'', A WileyInterscience Publication, (1998). 
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