메뉴 건너뛰기




Volumn 1, Issue 4, 2006, Pages 245-256

Parsimonious least squares support vector regression using orthogonal forward selection with the generalised kernel model

Author keywords

Generalised kernel model; Least squares support vector machine; Orthogonal least squares forward selection; Regression; Sparse modelling

Indexed keywords

COVARIANCE MATRIX; DOMAIN DECOMPOSITION METHODS; HILBERT SPACES; LAGRANGE MULTIPLIERS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; VECTORS;

EID: 34248656230     PISSN: 17466172     EISSN: 17466180     Source Type: Journal    
DOI: 10.1504/IJMIC.2006.012612     Document Type: Article
Times cited : (12)

References (37)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike, H. (1974) 'A new look at the statistical model identification', IEEE Transactions on Automatic Control, Vol. AC-19, pp.716-723.
    • (1974) IEEE Transactions on Automatic Control , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 3
    • 0001731811 scopus 로고
    • The identification of linear and non-linear models of a turbocharged automotive diesel engine
    • Billings, S.A., Chen, S. and Backhouse, R.J. (1989) 'The identification of linear and non-linear models of a turbocharged automotive diesel engine', Mechanical Systems and Signal Processing, Vol. 3, No. 2, pp. 123-142.
    • (1989) Mechanical Systems and Signal Processing , vol.3 , Issue.2 , pp. 123-142
    • Billings, S.A.1    Chen, S.2    Backhouse, R.J.3
  • 4
    • 0000275022 scopus 로고    scopus 로고
    • Prediction games and arcing algorithms
    • Breiman, L. (1999) 'Prediction games and arcing algorithms', Neural Computation, Vol. 11, No. 7, pp.1493-1518.
    • (1999) Neural Computation , vol.11 , Issue.7 , pp. 1493-1518
    • Breiman, L.1
  • 5
    • 0036161011 scopus 로고    scopus 로고
    • Choosing multiple parameters for support vector machines
    • Chapelle, O., Vapnik, V., Bousquet, O. and Mukherjee, S. (2002) 'Choosing multiple parameters for support vector machines', Machine Learning, Vol. 46, Nos. 1-3, pp. 131-159.
    • (2002) Machine Learning , vol.46 , Issue.1-3 , pp. 131-159
    • Chapelle, O.1    Vapnik, V.2    Bousquet, O.3    Mukherjee, S.4
  • 6
    • 0024771664 scopus 로고
    • Orthogonal least squares methods and their application to non-linear system identification
    • Chen, S., Billings, S.A. and Luo, W. (1989) 'Orthogonal least squares methods and their application to non-linear system identification', International Journal of Control, Vol. 50, No. 5, pp.1873-1896.
    • (1989) International Journal of Control , vol.50 , Issue.5 , pp. 1873-1896
    • Chen, S.1    Billings, S.A.2    Luo, W.3
  • 7
    • 0026116468 scopus 로고
    • Orthogonal least squares learning algorithm for radial basis function networks
    • Chen, S., Cowan, C.F.N. and Grant, P.M. (1991) 'Orthogonal least squares learning algorithm for radial basis function networks', IEEE Transactions on Neural Networks, Vol. 2, No. 2, pp.302-309.
    • (1991) IEEE Transactions on Neural Networks , vol.2 , Issue.2 , pp. 302-309
    • Chen, S.1    Cowan, C.F.N.2    Grant, P.M.3
  • 8
    • 0033316827 scopus 로고    scopus 로고
    • Adaptive simulated annealing for optimization in signal processing applications
    • Chen, S. and Luk, B.L. (1999) 'Adaptive simulated annealing for optimization in signal processing applications', Signal Processing, Vol. 79, No. 1, pp.117-128.
    • (1999) Signal Processing , vol.79 , Issue.1 , pp. 117-128
    • Chen, S.1    Luk, B.L.2
  • 9
    • 0032594851 scopus 로고    scopus 로고
    • Combined genetic algorithm optimisation and regularised orthogonal least squares learning for radial basis function networks
    • Chen, S., Wu, Y. and Luk, B.L. (1999) 'Combined genetic algorithm optimisation and regularised orthogonal least squares learning for radial basis function networks', IEEE Transactions on Neural Networks, Vol. 10, No. 5, pp.1239-1243.
    • (1999) IEEE Transactions on Neural Networks , vol.10 , Issue.5 , pp. 1239-1243
    • Chen, S.1    Wu, Y.2    Luk, B.L.3
  • 10
    • 0038548172 scopus 로고    scopus 로고
    • Sparse kernel regression modelling using combined locally regularized orthogonal least squares and D-optimality experimental design
    • Chen, S., Hong, X. and Harris, C.J. (2003) 'Sparse kernel regression modelling using combined locally regularized orthogonal least squares and D-optimality experimental design', IEEE Transactions on Automatic Control, Vol. 48, No. 6, pp.1029-1036.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.6 , pp. 1029-1036
    • Chen, S.1    Hong, X.2    Harris, C.J.3
  • 12
    • 24644475780 scopus 로고    scopus 로고
    • Experiments with repeating weighted boosting search for optimization in signal processing applications
    • Chen, S., Wang, X.X. and Harris, C.J. (2005) 'Experiments with repeating weighted boosting search for optimization in signal processing applications', IEEE Transactions on Systems, Man and Cybernetics, Part B, Vol. 35, No. 4, pp.682-693.
    • (2005) IEEE Transactions on Systems, Man and Cybernetics, Part B , vol.35 , Issue.4 , pp. 682-693
    • Chen, S.1    Wang, X.X.2    Harris, C.J.3
  • 14
    • 0037507242 scopus 로고    scopus 로고
    • Pruning error minimization in least squares support vector machines
    • de Kruif, B.J. and de Vries, T.J.A. (2003) 'Pruning error minimization in least squares support vector machines', IEEE Transactions on Neural Networks, Vol. 14, No. 3, pp.696-702.
    • (2003) IEEE Transactions on Neural Networks , vol.14 , Issue.3 , pp. 696-702
    • de Kruif, B.J.1    de Vries, T.J.A.2
  • 15
    • 0037382208 scopus 로고    scopus 로고
    • Evaluation of simple performance measures for tuning SVM hyperparameters
    • Duan, K., Keerthi, S.S. and Poo, A.N. (2003) 'Evaluation of simple performance measures for tuning SVM hyperparameters', Neurocomputing, Vol. 51, pp.41-59.
    • (2003) Neurocomputing , vol.51 , pp. 41-59
    • Duan, K.1    Keerthi, S.S.2    Poo, A.N.3
  • 16
    • 0031211090 scopus 로고    scopus 로고
    • A decision-theoretic generalization of on-line learning and an application to boosting
    • Freund, Y. and Schapire, R.E. (1997) 'A decision-theoretic generalization of on-line learning and an application to boosting', Journal of Computer and System Sciences, Vol. 55, No. 1, pp.119-139.
    • (1997) Journal of Computer and System Sciences , vol.55 , Issue.1 , pp. 119-139
    • Freund, Y.1    Schapire, R.E.2
  • 18
    • 0003425664 scopus 로고    scopus 로고
    • Support vector machines for classification and regression
    • Technical Report, ISIS Research Group, Department of Electronics and Computer Science, University of Southampton, UK, May
    • Gunn, S. (1998) 'Support vector machines for classification and regression', Technical Report, ISIS Research Group, Department of Electronics and Computer Science, University of Southampton, UK, May 1998.
    • (1998)
    • Gunn, S.1
  • 19
    • 0036738761 scopus 로고    scopus 로고
    • Nonlinear model structure design and construction using orthogonal least squares and D-optimality design
    • Hong, X. and Harris, C.J. (2002) 'Nonlinear model structure design and construction using orthogonal least squares and D-optimality design', IEEE Transactions on Neural Networks, Vol. 13, No. 5, pp.1245-1250.
    • (2002) IEEE Transactions on Neural Networks , vol.13 , Issue.5 , pp. 1245-1250
    • Hong, X.1    Harris, C.J.2
  • 21
    • 43949164756 scopus 로고
    • Simulated annealing: Practice versus theory
    • Ingber, L. (1993) 'Simulated annealing: practice versus theory', Mathematical and Computer Modeling, Vol. 18, No. 11, pp.29-57.
    • (1993) Mathematical and Computer Modeling , vol.18 , Issue.11 , pp. 29-57
    • Ingber, L.1
  • 23
    • 0023104537 scopus 로고
    • Model selection and validation methods for non-linear systems
    • Leontaritis, I.J. and Billings, S.A. (1987) 'Model selection and validation methods for non-linear systems', International Journal of Control, Vol. 45, No. 1, pp.311-341.
    • (1987) International Journal of Control , vol.45 , Issue.1 , pp. 311-341
    • Leontaritis, I.J.1    Billings, S.A.2
  • 25
    • 1542276975 scopus 로고    scopus 로고
    • An introduction to boosting and leveraging
    • S. Mendelson and A. Smola Eds, Springer Verlag, pp
    • Meir, R. and Rätsch, G. (2003) 'An introduction to boosting and leveraging', in S. Mendelson and A. Smola (Eds). Advanced Lectures in Machine Learning. Springer Verlag, pp.119-184.
    • (2003) Advanced Lectures in Machine Learning , pp. 119-184
    • Meir, R.1    Rätsch, G.2
  • 28
    • 0025448521 scopus 로고
    • The strength of weak learnability
    • Schapire, R.E. (1990) 'The strength of weak learnability', Machine Learning, Vol. 5, No. 2, pp.197-227.
    • (1990) Machine Learning , vol.5 , Issue.2 , pp. 197-227
    • Schapire, R.E.1
  • 32
    • 0032638628 scopus 로고    scopus 로고
    • Least squares support vector machine classifiers
    • Suykens, J.A.K. and Vandewalle, J. (1999) 'Least squares support vector machine classifiers', Neural Processing Letters, Vol. 9, No. 3, pp.293-300.
    • (1999) Neural Processing Letters , vol.9 , Issue.3 , pp. 293-300
    • Suykens, J.A.K.1    Vandewalle, J.2
  • 36
    • 84887252594 scopus 로고    scopus 로고
    • Support vector method for function approximation, regression estimation and signal processing
    • M.C. Mozer, M.I. Jordan and T. Petsche Eds, Cambridge, MA: MIT Press, pp
    • Vapnik, V., Golowich, S. and Smola, A. (1997) 'Support vector method for function approximation, regression estimation and signal processing', in M.C. Mozer, M.I. Jordan and T. Petsche (Eds). Advances in Neural Information Processing Systems 9, Cambridge, MA: MIT Press, pp.281-287.
    • (1997) Advances in Neural Information Processing Systems 9 , pp. 281-287
    • Vapnik, V.1    Golowich, S.2    Smola, A.3
  • 37
    • 0036643065 scopus 로고    scopus 로고
    • Kernel matching pursuit
    • Vincent, P. and Bengio, Y. (2002) 'Kernel matching pursuit', Machine Learning, Vol. 48, No. 1, pp. 165-187.
    • (2002) Machine Learning , vol.48 , Issue.1 , pp. 165-187
    • Vincent, P.1    Bengio, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.