Learning from Data by Interval Linear Programming

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Abstract:

The linear programming based method are popular methods for learning from empirical data (observations, samples, examples, records). In this paper, an interval linear programming based method for regression problems is proposed. The explicit representation of the general optimal solution of regression problem is obtained in terms of a generalized inverse of the constraint matrix. This explicit solution has obvious theoretical (and possibly computational) advantages over the well-known iterative methods of linear programming.

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Key Engineering Materials (Volumes 439-440)

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710-714

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June 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] Weston, J., A. Gammerman, M. 0. Stitson, V. Vapnik, V. Vovk, C. Watkins. Support Vector Density Estimation, In B. Scholkopf, C. Burges, and A. Smola, Editors, Advances in Kernel Methods-SV Learning, p. pp.307-326, MIT Press, Cambridge, MA (1999).

DOI: 10.7551/mitpress/1130.003.0024

Google Scholar

[2] Zhang, Q. H., J.J. Fuchs,. Building neural networks through linear programming, Proceedings of 14th IFAC Triennial World Congress, Vol. K, pp.127-132, Pergamon Press (1999).

Google Scholar

[3] Kecman V., Hadzic I.,. Support Vectors Selection by Linear Programming, Proceedings of the International Joint Conference on Neural Networks (IJCNN 2000). Vol. 5, (2000) p.193.

DOI: 10.1109/ijcnn.2000.861456

Google Scholar

[4] Arthanari, T. S., Y. Dodge. Mathematical Programming in Sta- tistics, J. Wiley & Sons., New York, NY (1993).

Google Scholar

[5] Bennett, K. Combining support vector and mathematical pro- gramming methods for induction. In B. Schalkopf, C. Burges, and A. Smola, Editors, Advances in Kernel Methods-SV Learning, MIT Press, Cambridge, MA (1999).

Google Scholar

[6] Charnes, A., W. W. Cooper, R. 0. Ferguson. Optimal Estima- tion of Executive Compensation by Linear Programming, Manage. Sci., I, 138 (1955).

Google Scholar

[7] Zhengxin J, Guoliang S, Matrix theory and its applications, BUAA Press, China, (1988).

Google Scholar