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Volumn 85, Issue 1-2, 2011, Pages 109-148

Sparse conjugate directions pursuit with application to fixed-size kernel models

Author keywords

Greedy heuristic; Kernel methods; Linear system; Matching pursuit; Sparse approximation

Indexed keywords

ALGORITHMIC ISSUES; APPROXIMATE SOLUTION; CARDINALITIES; COMPONENT SELECTION; COMPUTATIONAL ANALYSIS; CONJUGATE BASIS; CONJUGATE GRADIENT ALGORITHMS; GENERALIZATION PERFORMANCE; GREEDY HEURISTICS; KERNEL METHODS; KERNEL MODELS; LEAST SQUARES SUPPORT VECTOR MACHINES; LINEAR SUBSYSTEMS; MACHINE-LEARNING; MATCHING PURSUIT; MODEL SIZE; OPTIMIZATION SCHEME; SCALABLE ALGORITHMS; SPARSE APPROXIMATIONS; STOPPING CRITERIA; WORK STUDY;

EID: 80053087394     PISSN: 08856125     EISSN: 15730565     Source Type: Journal    
DOI: 10.1007/s10994-011-5253-8     Document Type: Article
Times cited : (18)

References (60)
  • 1
    • 0016029778 scopus 로고
    • The relationship between variable selection and prediction
    • 343481 10.2307/1267500
    • D. Allan 1974 The relationship between variable selection and prediction Technometrics 16 125 127 343481 10.2307/1267500
    • (1974) Technometrics , vol.16 , pp. 125-127
    • Allan, D.1
  • 2
  • 3
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • 2481111 1178.68619 10.1137/060657704
    • A. M. Bruckstein D. L. Donoho M. Elad 2009 From sparse solutions of systems of equations to sparse modeling of signals and images SIAM Review 51 1 34 81 2481111 1178.68619 10.1137/060657704
    • (2009) SIAM Review , vol.51 , Issue.1 , pp. 34-81
    • Bruckstein, A.M.1    Donoho, D.L.2    Elad, M.3
  • 4
    • 0043245810 scopus 로고    scopus 로고
    • 2 loss: Regression and classification
    • DOI 10.1198/016214503000125
    • P. Bühlmann B. Yu 2003 Boosting with the l2-loss: Regression and classification Journal of the American Statistical Association 98 324 339 1995709 1041.62029 10.1198/016214503000125 (Pubitemid 36931557)
    • (2003) Journal of the American Statistical Association , vol.98 , Issue.462 , pp. 324-339
    • Buhlmann, P.1    Yu, B.2
  • 6
    • 40649116219 scopus 로고    scopus 로고
    • Leave-one-out cross-validation based model selection criteria for weighted LS-SVMs
    • 1716307, International Joint Conference on Neural Networks 2006, IJCNN '06
    • Cawley, G. C. (2006). Leave-one-out cross-validation based model selection criteria for weighted LS-SVMs. In Proc. of the international joint conference on neural networks (IJCNN-2006), Vancouver, Canada (Vol. 2415, pp. 1661-1668). (Pubitemid 351369522)
    • (2006) IEEE International Conference on Neural Networks - Conference Proceedings , pp. 1661-1668
    • Cawley, G.C.1
  • 9
    • 0024771664 scopus 로고
    • Orthogonal least squares methods and their application to non-linear system identification
    • S. Chen S. A. Billings W. Luo 1989 Orthogonal least squares methods and their application to non-linear system identification International Journal of Control 50 5 1873 1896 1032440 0686.93093 10.1080/00207178908953472 (Pubitemid 20636409)
    • (1989) International Journal of Control , vol.50 , Issue.5 , pp. 1873-1896
    • Chen, S.1    Billings, S.A.2    Luo, W.3
  • 10
    • 0026116468 scopus 로고
    • Orthogonal least squares learning algorithm for radial basis function networks
    • 10.1109/72.80341
    • S. Chen C. Cowan P. Grant 1991 Orthogonal least squares learning algorithm for radial basis function networks IEEE Transactions on Neural Networks 2 2 302 309 10.1109/72.80341
    • (1991) IEEE Transactions on Neural Networks , vol.2 , Issue.2 , pp. 302-309
    • Chen, S.1    Cowan, C.2    Grant, P.3
  • 11
    • 84947626826 scopus 로고
    • Recursive hybrid algorithm for non-linear system identification using radial basis function networks
    • 1164955 0757.93015 10.1080/00207179208934272
    • S. Chen S. A. Billings M. Grant 1992 Recursive hybrid algorithm for non-linear system identification using radial basis function networks International Journal of Control 55 5 1051 1070 1164955 0757.93015 10.1080/00207179208934272
    • (1992) International Journal of Control , vol.55 , Issue.5 , pp. 1051-1070
    • Chen, S.1    Billings, S.A.2    Grant, M.3
  • 12
    • 67349249355 scopus 로고    scopus 로고
    • Orthogonal-least-squares regression: A unified approach for data modelling
    • 10.1016/j.neucom.2008.10.002
    • S. Chen X. Hong B. L. Luk C. J. Harris 2009 Orthogonal-least-squares regression: A unified approach for data modelling Neurocomputing 72 10-12 2670 2681 10.1016/j.neucom.2008.10.002
    • (2009) Neurocomputing , vol.72 , Issue.1012 , pp. 2670-2681
    • Chen, S.1    Hong, X.2    Luk, B.L.3    Harris, C.J.4
  • 13
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • PII S1064827596304010
    • S. S. Chen D. L. Donoho M. A. Saunders 1999 Atomic decomposition by basis pursuit SIAM Journal on Scientific Computing 20 1 33 61 1639094 0919.94002 10.1137/S1064827596304010 (Pubitemid 128689501)
    • (1998) SIAM Journal of Scientific Computing , vol.20 , Issue.1 , pp. 33-61
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 14
    • 15344351150 scopus 로고    scopus 로고
    • An improved conjugate gradient scheme to the solution of least squares SVM
    • DOI 10.1109/TNN.2004.841785
    • W. Chu S. S. Keerthi C. Ong 2005 An improved conjugate gradient scheme to the solution of least squares SVM IEEE Transactions on Neural Networks 16 2 498 501 10.1109/TNN.2004.841785 (Pubitemid 40390833)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.2 , pp. 498-501
    • Chu, W.1    Ong, C.J.2    Keerthi, S.S.3
  • 17
    • 0037507242 scopus 로고    scopus 로고
    • Pruning error minimization in least squares support vector machines
    • 10.1109/TNN.2003.810597
    • B. J. de Kruif T. J. A. de Vries 2003 Pruning error minimization in least squares support vector machines IEEE Transactions on Neural Networks 14 3 696 702 10.1109/TNN.2003.810597
    • (2003) IEEE Transactions on Neural Networks , vol.14 , Issue.3 , pp. 696-702
    • De Kruif, B.J.1    De Vries, T.J.A.2
  • 18
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • 2241189 10.1109/TIT.2006.871582
    • D. L. Donoho 2006 Compressed sensing IEEE Transactions on Information Theory 52 4 1289 1306 2241189 10.1109/TIT.2006.871582
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 22
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • DOI 10.1109/JSTSP.2007.910281
    • M. A. T. Figueiredo R. D. Nowak S. J. Wright 2007 Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems IEEE Journal of Selected Topics in Signal Processing 1 4 586 597 10.1109/JSTSP.2007.910281 (Pubitemid 351276802)
    • (2007) IEEE Journal on Selected Topics in Signal Processing , vol.1 , Issue.4 , pp. 586-597
    • Figueiredo, M.A.T.1    Nowak, R.D.2    Wright, S.J.3
  • 23
    • 0029521676 scopus 로고
    • Sample compression, learnability, and the Vapnik-Chervonenkis dimension
    • S. Floyd M. Warmuth 1995 Sample compression, learnability, and the Vapnik-Chervonenkis dimension Machine Learning Journal 21 269 304
    • (1995) Machine Learning Journal , vol.21 , pp. 269-304
    • Floyd, S.1    Warmuth, M.2
  • 24
    • 0021938963 scopus 로고
    • Clustering to minimize the maximum intercluster distance
    • DOI 10.1016/0304-3975(85)90224-5
    • T. Gonzalez 1985 Clustering to minimize the maximum intercluster distance Theoretical Computer Science 38 293 306 807927 0567.62048 10.1016/0304-3975(85) 90224-5 (Pubitemid 15607838)
    • (1985) Theoretical Computer Science , vol.38 , Issue.2-3 , pp. 293-306
    • Gonzalez, T.F.1
  • 27
    • 34248636293 scopus 로고    scopus 로고
    • Fast sparse approximation for least squares support vector machine
    • DOI 10.1109/TNN.2006.889500
    • L. Jiao L. Bo L. Wang 2007 Fast sparse approximation for least squares support vector machine IEEE Transactions on Neural Networks 18 3 685 697 10.1109/TNN.2006.889500 (Pubitemid 46773736)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.3 , pp. 685-697
    • Jiao, L.1    Bo, L.2    Wang, L.3
  • 28
    • 0002714543 scopus 로고    scopus 로고
    • Making large-scale SVM learning practical
    • B. Schlkopf C. Burges A. Smola (eds). MIT Press Cambridge Chap. 11. URL http://www.cs.cornell.edu/People/tj/publications/joachims-99a.pdf
    • T. Joachims 1999 Making large-scale SVM learning practical B. Schlkopf C. Burges A. Smola (eds) Advances in kernel methods-support vector learning MIT Press Cambridge Chap. 11. URL http://www.cs.cornell.edu/People/tj/publications/ joachims-99a.pdf
    • (1999) Advances in Kernel Methods-support Vector Learning
    • Joachims, T.1
  • 29
    • 33745789043 scopus 로고    scopus 로고
    • Building support vector machines with reduced classifier complexity
    • S. S. Keerthi O. Chapelle D. Decoste P. Bennett E. Parrado- hernández 2006 Building support vector machines with reduced classifier complexity Journal of Machine Learning Research 7 1493 1515 (Pubitemid 44024591)
    • (2006) Journal of Machine Learning Research , vol.7 , pp. 1493-1515
    • Keerthi, S.S.1    Chapelle, O.2    DeCoste, D.3
  • 31
    • 0025489075 scopus 로고
    • The self-organizing map
    • 10.1109/5.58325
    • T. Kohonen 1990 The self-organizing map Proceedings of the IEEE 78 9 1464 1480 10.1109/5.58325
    • (1990) Proceedings of the IEEE , vol.78 , Issue.9 , pp. 1464-1480
    • Kohonen, T.1
  • 32
    • 33745303526 scopus 로고    scopus 로고
    • Conjugate direction boosting
    • DOI 10.1198/106186006X113548
    • R. W. Lutz P. Bühlmann 2006 Conjugate direction boosting Journal of Computational and Graphical Statistics 15 2 287 311 2252528 10.1198/ 106186006X113548 (Pubitemid 43935979)
    • (2006) Journal of Computational and Graphical Statistics , vol.15 , Issue.2 , pp. 287-311
    • Lutz, R.W.1    Bulmann, P.2
  • 36
    • 0027205884 scopus 로고
    • A scaled conjugate gradient algorithm for fast supervised learning
    • 10.1016/S0893-6080(05)80056-5
    • M. F. Möller 1993 A scaled conjugate gradient algorithm for fast supervised learning Neural Networks 6 525 533 10.1016/S0893-6080(05)80056-5
    • (1993) Neural Networks , vol.6 , pp. 525-533
    • Möller, M.F.1
  • 37
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • 1320206 0827.68054 10.1137/S0097539792240406
    • B. K. Natarajan 1995 Sparse approximate solutions to linear systems SIAM Journal on Computing 24 227 234 1320206 0827.68054 10.1137/S0097539792240406
    • (1995) SIAM Journal on Computing , vol.24 , pp. 227-234
    • Natarajan, B.K.1
  • 38
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • 0229.65053
    • J. A. Nelder R. Mead 1965 A simplex method for function minimization Computer Journal 7 308 313 0229.65053
    • (1965) Computer Journal , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 40
    • 0034215549 scopus 로고    scopus 로고
    • A new approach to variable selection in least squares problems
    • 1773265 0962.65036 10.1093/imanum/20.3.389
    • M. R. Osborne B. Presnell B. A. Turlach 2000 A new approach to variable selection in least squares problems IMA Journal of Numerical Analysis 20 389 403 1773265 0962.65036 10.1093/imanum/20.3.389
    • (2000) IMA Journal of Numerical Analysis , vol.20 , pp. 389-403
    • Osborne, M.R.1    Presnell, B.2    Turlach, B.A.3
  • 42
    • 25144520310 scopus 로고    scopus 로고
    • Kernel matching pursuit for large datasets
    • DOI 10.1016/j.patcog.2005.01.021, PII S0031320305000932
    • V. Popovici S. Bengio J. P. Thiran 2005 Kernel matching pursuit for large datasets Pattern Recognition 38 12 2385 2390 10.1016/j.patcog.2005.01.021 (Pubitemid 41336707)
    • (2005) Pattern Recognition , vol.38 , Issue.12 , pp. 2385-2390
    • Popovici, V.1    Bengio, S.2    Thiran, J.-P.3
  • 44
    • 0346111806 scopus 로고    scopus 로고
    • On simulated annealing and nested annealing
    • 1770521 1112.90383 10.1023/A:1008307523936
    • S. Rajasekaran 2000 On simulated annealing and nested annealing Journal of Global Optimization 16 43 56 1770521 1112.90383 10.1023/A:1008307523936
    • (2000) Journal of Global Optimization , vol.16 , pp. 43-56
    • Rajasekaran, S.1
  • 47
    • 0032638628 scopus 로고    scopus 로고
    • Least squares support vector machine classifiers
    • 1721843 10.1023/A:1018628609742
    • J. A. K. Suykens J. Vandewalle 1999 Least squares support vector machine classifiers Neural Processing Letters 9 3 293 300 1721843 10.1023/A: 1018628609742
    • (1999) Neural Processing Letters , vol.9 , Issue.3 , pp. 293-300
    • Suykens, J.A.K.1    Vandewalle, J.2
  • 49
  • 50
    • 0036825528 scopus 로고    scopus 로고
    • Weighted least squares support vector machines: Robustness and sparce approximation
    • DOI 10.1016/S0925-2312(01)00644-0, PII S0925231201006440
    • J. A. K. Suykens J. De Brabanter L. Lukas J. Vandewalle 2002 Weighted least squares support vector machines: robustness and sparse approximation Neurocomputing 48 1-4 85 105 1006.68799 10.1016/S0925-2312(01)00644-0 (Pubitemid 36221490)
    • (2002) Neurocomputing , vol.48 , pp. 85-105
    • Suykens, J.A.K.1    De Brabanter, J.2    Lukas, L.3    Vandewalle, J.4
  • 52
    • 85194972808 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the LASSO
    • 1379242 0850.62538
    • R. Tibshirani 1996 Regression shrinkage and selection via the LASSO Journal of the Royal Statistical Society. Series B 58 1 267 289 1379242 0850.62538
    • (1996) Journal of the Royal Statistical Society. Series B , vol.58 , Issue.1 , pp. 267-289
    • Tibshirani, R.1
  • 53
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • 2097044 10.1109/TIT.2004.834793
    • J. A. Tropp 2004 Greed is good: algorithmic results for sparse approximation IEEE Transactions on Information Theory 50 10 2231 2242 2097044 10.1109/TIT.2004.834793
    • (2004) IEEE Transactions on Information Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1
  • 55
    • 0036643065 scopus 로고    scopus 로고
    • Kernel matching pursuit
    • DOI 10.1023/A:1013955821559
    • P. Vincent Y. Bengio 2002 Kernel matching pursuit Machine Learning 48 165 187 0998.68120 10.1023/A:1013955821559 (Pubitemid 34247577)
    • (2002) Machine Learning , vol.48 , Issue.1-3 , pp. 165-187
    • Vincent, P.1    Bengio, Y.2
  • 59
    • 28244453270 scopus 로고    scopus 로고
    • SMO-based pruning methods for sparse least squares support vector machines
    • DOI 10.1109/TNN.2005.852239
    • X. Y. Zeng X. W. Chen 2005 Smo-based pruning methods for sparse least squares support vector machines IEEE Transactions on Neural Networks 16 6 1541 1546 10.1109/TNN.2005.852239 (Pubitemid 41709650)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1541-1546
    • Zeng, X.1    Chen, X.-W.2


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