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Volumn 59, Issue , 2014, Pages 36-50

Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms

Author keywords

DC programming; DCA; Feature selection; Robust optimization; SVM

Indexed keywords

APPROXIMATION ALGORITHMS; FUNCTIONS; OPTIMIZATION; SUPPORT VECTOR MACHINES;

EID: 84904859974     PISSN: 08936080     EISSN: 18792782     Source Type: Journal    
DOI: 10.1016/j.neunet.2014.06.011     Document Type: Article
Times cited : (50)

References (51)
  • 4
    • 26944496310 scopus 로고    scopus 로고
    • Support vector classification with input data uncertainty
    • MIT Press, Cambridge, MA, L.K. Saul, Y. Weiss, L. Bottou (Eds.)
    • Bi J., Zhang T. Support vector classification with input data uncertainty. Advances in neural information processing systems, Vol. 17 2004, MIT Press, Cambridge, MA. L.K. Saul, Y. Weiss, L. Bottou (Eds.).
    • (2004) Advances in neural information processing systems, Vol. 17
    • Bi, J.1    Zhang, T.2
  • 6
    • 84864687560 scopus 로고    scopus 로고
    • Optimization for machine learning
    • MIT Press, Cambridge, MA, S. Sra, S. Nowozin, S. Wright (Eds.)
    • Caramanis C., Mannor S., Xu H. Optimization for machine learning. Robust optimization in machine learning 2011, MIT Press, Cambridge, MA. S. Sra, S. Nowozin, S. Wright (Eds.).
    • (2011) Robust optimization in machine learning
    • Caramanis, C.1    Mannor, S.2    Xu, H.3
  • 8
    • 0032022704 scopus 로고    scopus 로고
    • Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage
    • Chambolle A., DeVore R.A., Lee N.Y., Lucier B.J. Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. IEEE Transactions on Image Processing 1998, 7:319-335.
    • (1998) IEEE Transactions on Image Processing , vol.7 , pp. 319-335
    • Chambolle, A.1    DeVore, R.A.2    Lee, N.Y.3    Lucier, B.J.4
  • 13
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • Fan J., Li R. Variable selection via nonconcave penalized likelihood and its oracle properties. Journal of the American Statistical Association 2001.
    • (2001) Journal of the American Statistical Association
    • Fan, J.1    Li, R.2
  • 14
    • 84904895770 scopus 로고    scopus 로고
    • UCI machine learning repository Irvine, CA: University of California, School of Information and Computer Science.
    • Frank, A., & Asuncion, A. (2010). UCI machine learning repository Irvine, CA: University of California, School of Information and Computer Science. http://archive.ics.uci.edu/ml.
    • (2010)
    • Frank, A.1    Asuncion, A.2
  • 16
    • 0033569406 scopus 로고    scopus 로고
    • Molecular classification of cancer: class discovery and class prediction by gene expression monitoring
    • Golub T.R., Slonim D.K., Tamayo P., Huard C., Gaasenbeek M., Mesirov J.P., et al. Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. Science 1999, 286:531-537.
    • (1999) Science , vol.286 , pp. 531-537
    • Golub, T.R.1    Slonim, D.K.2    Tamayo, P.3    Huard, C.4    Gaasenbeek, M.5    Mesirov, J.P.6
  • 17
    • 0036735386 scopus 로고    scopus 로고
    • Translation of microarray data into clinically relevant cancer diagnostic tests using gene expression ratios in lung cancer and mesothelioma
    • Gordon G.J., Jensen R.V., Hsiao L.-L., Gullans S.R., Blumenstock J.E., Ramaswamy S., et al. Translation of microarray data into clinically relevant cancer diagnostic tests using gene expression ratios in lung cancer and mesothelioma. Cancer Research 2002, 62.
    • (2002) Cancer Research , vol.62
    • Gordon, G.J.1    Jensen, R.V.2    Hsiao, L.-L.3    Gullans, S.R.4    Blumenstock, J.E.5    Ramaswamy, S.6
  • 18
    • 34147095576 scopus 로고    scopus 로고
    • Feature selection for support vector machines. In Proceedings. 15th international conference on pattern recognition
    • Hermes, L., & Buhmann, J.M. (2000). Feature selection for support vector machines. In Proceedings. 15th international conference on pattern recognition, Vol. 2 (pp. 712-715).
    • (2000) , vol.2 , pp. 712-715
    • Hermes, L.1    Buhmann, J.M.2
  • 20
    • 84887377768 scopus 로고    scopus 로고
    • Block clustering based on difference of convex functions (DC) programming and DC algorithms
    • Le Hoai M., Le Thi H.A., Pham Dinh T., Huynh V.N. Block clustering based on difference of convex functions (DC) programming and DC algorithms. Neural Computation 2013, 25:259-278.
    • (2013) Neural Computation , vol.25 , pp. 259-278
    • Le Hoai, M.1    Le Thi, H.A.2    Pham Dinh, T.3    Huynh, V.N.4
  • 21
    • 33847251003 scopus 로고    scopus 로고
    • A new efficient algorithm based on DC programming and DCA for clustering
    • Le Thi H.A., Belghiti T., Pham Dinh T. A new efficient algorithm based on DC programming and DCA for clustering. Journal of Global Optimization 2006, 37:593-608.
    • (2006) Journal of Global Optimization , vol.37 , pp. 593-608
    • Le Thi, H.A.1    Belghiti, T.2    Pham Dinh, T.3
  • 24
    • 84885021555 scopus 로고    scopus 로고
    • New and efficient DCA based algorithms for minimum sum-of-squares clustering
    • Le Thi H.A., Le Hoai M., Pham Dinh T. New and efficient DCA based algorithms for minimum sum-of-squares clustering. Pattern Recognition 2014, 47:388-401.
    • (2014) Pattern Recognition , vol.47 , pp. 388-401
    • Le Thi, H.A.1    Le Hoai, M.2    Pham Dinh, T.3
  • 25
    • 85088079192 scopus 로고    scopus 로고
    • Solving a class of linearly constrained indefinite quadratic problems by DC algorithms
    • Le Thi H.A., Pham Dinh T. Solving a class of linearly constrained indefinite quadratic problems by DC algorithms. Journal of Global Optimization 1997, 11:2776-2807.
    • (1997) Journal of Global Optimization , vol.11 , pp. 2776-2807
    • Le Thi, H.A.1    Pham Dinh, T.2
  • 26
    • 1542380919 scopus 로고    scopus 로고
    • Large scale global molecular optimization from exact distance matrices by a D.C. optimization approach
    • Le Thi H.A., Pham Dinh T. Large scale global molecular optimization from exact distance matrices by a D.C. optimization approach. SIAM Journal on Optimization 2003, 14:77-114.
    • (2003) SIAM Journal on Optimization , vol.14 , pp. 77-114
    • Le Thi, H.A.1    Pham Dinh, T.2
  • 27
    • 15244346000 scopus 로고    scopus 로고
    • The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
    • Le Thi H.A., Pham Dinh T. The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems. Annals of Operations Research 2005, 133:23-46.
    • (2005) Annals of Operations Research , vol.133 , pp. 23-46
    • Le Thi, H.A.1    Pham Dinh, T.2
  • 28
    • 84881251984 scopus 로고    scopus 로고
    • Robust feature selection for svms under uncertain data
    • Springer, Berlin, Heidelberg, P. Perner (Ed.) Advances in data mining. applications and theoretical aspects
    • Le Thi H.A., Vo X.T., Pham Dinh T. Robust feature selection for svms under uncertain data. Lecture Notes in Computer Science 2013, vol. 7987:151-165. Springer, Berlin, Heidelberg. P. Perner (Ed.).
    • (2013) Lecture Notes in Computer Science , vol.7987 , pp. 151-165
    • Le Thi, H.A.1    Vo, X.T.2    Pham Dinh, T.3
  • 31
    • 38049162221 scopus 로고    scopus 로고
    • Variable selection via a combination of the l0 and l1 penalties
    • Liu Y., Wu Y. Variable selection via a combination of the l0 and l1 penalties. Journal of Computational and Graphical Statistics 2007, 16:782-798.
    • (2007) Journal of Computational and Graphical Statistics , vol.16 , pp. 782-798
    • Liu, Y.1    Wu, Y.2
  • 32
    • 30044438683 scopus 로고    scopus 로고
    • Combined SVM-based feature selection and classification
    • Neumann J., Schnörr C., Steidl G. Combined SVM-based feature selection and classification. Machine Learning 2005, 61:129-150.
    • (2005) Machine Learning , vol.61 , pp. 129-150
    • Neumann, J.1    Schnörr, C.2    Steidl, G.3
  • 33
    • 84880232279 scopus 로고    scopus 로고
    • Learning sparse classifiers with difference of convex functions algorithms
    • Ong C.S., Le Thi H.A. Learning sparse classifiers with difference of convex functions algorithms. Optimization Methods & Software 2013, 28:830-854.
    • (2013) Optimization Methods & Software , vol.28 , pp. 830-854
    • Ong, C.S.1    Le Thi, H.A.2
  • 34
    • 82955190470 scopus 로고    scopus 로고
    • Support vector machine classification of uncertain and imbalanced data using robust optimization
    • World Scientific and Engineering Academy and Society (WSEAS), Stevens Point, Wisconsin, USA
    • Pant R., Trafalis T.B., Barker K. Support vector machine classification of uncertain and imbalanced data using robust optimization. Proceedings of the 15th WSEAS international conference on computers 2011, 369-374. World Scientific and Engineering Academy and Society (WSEAS), Stevens Point, Wisconsin, USA.
    • (2011) Proceedings of the 15th WSEAS international conference on computers , pp. 369-374
    • Pant, R.1    Trafalis, T.B.2    Barker, K.3
  • 35
    • 35248871506 scopus 로고    scopus 로고
    • A bilinear formulation for vector sparsity optimization
    • Peleg D., Meir R. A bilinear formulation for vector sparsity optimization. Signal Processing 2008, 8:375-389.
    • (2008) Signal Processing , vol.8 , pp. 375-389
    • Peleg, D.1    Meir, R.2
  • 36
    • 0000939953 scopus 로고    scopus 로고
    • Convex analysis approach to DC programming: theory, algorithms and applications
    • Pham Dinh T., Le Thi H.A. Convex analysis approach to DC programming: theory, algorithms and applications. Acta Mathematica Vietnamica 1997, 22:289-357.
    • (1997) Acta Mathematica Vietnamica , vol.22 , pp. 289-357
    • Pham Dinh, T.1    Le Thi, H.A.2
  • 37
    • 0032081028 scopus 로고    scopus 로고
    • A DC optimization algorithms for solving the trust-region subproblem
    • Pham Dinh T., Le Thi H.A. A DC optimization algorithms for solving the trust-region subproblem. SIAM Journal on Optimization 1998, 8:476-505.
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 476-505
    • Pham Dinh, T.1    Le Thi, H.A.2
  • 44
    • 77956525932 scopus 로고    scopus 로고
    • A DC programming approach for sparse eigenvalue problem. In Proceeding of ICML 2010
    • Thiao, M., Pham Dinh, T., & Le Thi, H.A. (2010). A DC programming approach for sparse eigenvalue problem. In Proceeding of ICML 2010 (pp. 1063-1070).
    • (2010) , pp. 063-1070
    • Thiao, M.1    Pham Dinh, T.2    Le Thi, H.A.3
  • 46
    • 34547164089 scopus 로고    scopus 로고
    • Robust regression shrinkage and consistent variable selection via the lad-lasso
    • Wang H., Li G., Jiang G. Robust regression shrinkage and consistent variable selection via the lad-lasso. Journal of Business & Economics Statistics 2007, 25:347-355.
    • (2007) Journal of Business & Economics Statistics , vol.25 , pp. 347-355
    • Wang, H.1    Li, G.2    Jiang, G.3
  • 49
  • 50
    • 77649284492 scopus 로고    scopus 로고
    • Nearly unbiased variable selection under minimax concave penalty
    • Zhang C.H. Nearly unbiased variable selection under minimax concave penalty. Annals of Statistics 2010, 38:894-942.
    • (2010) Annals of Statistics , vol.38 , pp. 894-942
    • Zhang, C.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.