메뉴 건너뛰기




Volumn 10, Issue 5, 1999, Pages 1000-1017

Input space versus feature space in kernel-based methods

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DECISION THEORY; FUNCTIONS; PATTERN RECOGNITION; POLYNOMIALS; SET THEORY; STATISTICAL METHODS; VECTORS;

EID: 0032594954     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.788641     Document Type: Article
Times cited : (1093)

References (38)
  • 1
    • 0000874557 scopus 로고
    • Theoretical foundations of the potential function method in pattern recognition learning
    • M. Aizerman, E. Braverman, and L. Rozonoer, "Theoretical foundations of the potential function method in pattern recognition learning," Automat. Remote Contr., vol. 25, pp. 821-837, 1964.
    • (1964) Automat. Remote Contr. , vol.25 , pp. 821-837
    • Aizerman, M.1    Braverman, E.2    Rozonoer, L.3
  • 2
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn, "Theory of reproducing kernels," Trans. Amer. Math. Soc., vol. 68, pp. 337-404, 1950.
    • (1950) Trans. Amer. Math. Soc. , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 4
    • 0026966646 scopus 로고
    • A training algorithm for optimal margin classifiers
    • D. Haussler, Ed. Pittsburgh, PA: ACM, July
    • B. E. Boser, I. M. Guyon, and V. N. Vapnik, "A training algorithm for optimal margin classifiers," in Proc. 5th Annu. ACM Wkshp. Comput. Learning Theory, D. Haussler, Ed. Pittsburgh, PA: ACM, July 1992, pp. 144-152.
    • (1992) Proc. 5th Annu. ACM Wkshp. Comput. Learning Theory , pp. 144-152
    • Boser, B.E.1    Guyon, I.M.2    Vapnik, V.N.3
  • 5
    • 0742294193 scopus 로고
    • Data clustering and learning
    • M. A. Arbib, Ed. Cambridge, MA: MIT Press
    • J. M. Buhmann, "Data clustering and learning," in The Handbook of Brain Theory and Neural Networks, M. A. Arbib, Ed. Cambridge, MA: MIT Press, 1995, pp. 278-281.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 278-281
    • Buhmann, J.M.1
  • 6
    • 0002400882 scopus 로고    scopus 로고
    • Simplified support vector decision rules
    • L. Saitta, Ed. San Mateo, CA: Morgan Kaufmann
    • C. J. C. Burges, "Simplified support vector decision rules," in Proc. 13th Int. Conf Machine Learning, L. Saitta, Ed. San Mateo, CA: Morgan Kaufmann, 1996, pp. 71-77.
    • (1996) Proc. 13th Int. Conf Machine Learning , pp. 71-77
    • Burges, C.J.C.1
  • 7
    • 27144489164 scopus 로고    scopus 로고
    • A tutorial on support vector machines for pattern recognition
    • _, "A tutorial on support vector machines for pattern recognition," Data Mining and Knowledge Discovery, vol. 2, no. 2, pp. 1-47, 1998.
    • (1998) Data Mining and Knowledge Discovery , vol.2 , Issue.2 , pp. 1-47
  • 8
    • 0002615660 scopus 로고    scopus 로고
    • Geometry and invariance in kernel based methods
    • B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press
    • _, "Geometry and invariance in kernel based methods," in Advances in Kernel Methods - Support Vector Learning, B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press, 1999, pp. 89-116.
    • (1999) Advances in Kernel Methods - Support Vector Learning , pp. 89-116
  • 9
    • 84898957872 scopus 로고    scopus 로고
    • Improving the accuracy and speed of support vector learning machines
    • M. Mozer, M. Jordan, and T. Petsche, Eds. Cambridge, MA: MIT Press
    • C. J. C. Burges and B. Schölkopf, "Improving the accuracy and speed of support vector learning machines," in Advances in Neural Information Processing Systems 9, M. Mozer, M. Jordan, and T. Petsche, Eds. Cambridge, MA: MIT Press, 1997, pp. 375-381.
    • (1997) Advances in Neural Information Processing Systems 9 , pp. 375-381
    • Burges, C.J.C.1    Schölkopf, B.2
  • 13
    • 0000249788 scopus 로고    scopus 로고
    • An equivalence between sparse approximation and support vector machines
    • F. Girosi, "An equivalence between sparse approximation and support vector machines," Neural Comput., vol. 10, no. 6, pp. 1455-1480, 1998.
    • (1998) Neural Comput. , vol.10 , Issue.6 , pp. 1455-1480
    • Girosi, F.1
  • 14
    • 84950453673 scopus 로고
    • Principal curves
    • T. Hastie and W. Stuetzle, "Principal curves," JASA, vol. 84, pp. 502-516, 1989.
    • (1989) JASA , vol.84 , pp. 502-516
    • Hastie, T.1    Stuetzle, W.2
  • 17
    • 0027842081 scopus 로고
    • Matching Pursuit in a time-frequency dictionary
    • S. Mallat and Z. Zhang, "Matching Pursuit in a time-frequency dictionary," IEEE Trans. Signal Processing, vol. 41, pp. 3397-3415, 1993.
    • (1993) IEEE Trans. Signal Processing , vol.41 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 18
    • 85069064502 scopus 로고    scopus 로고
    • personal communication
    • D. Mattera, personal communication, 1998.
    • (1998)
    • Mattera, D.1
  • 19
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C. A. Micchelli, "Interpolation of scattered data: Distance matrices and conditionally positive definite functions," Constructive Approximation, vol. 2, pp. 11-22, 1986.
    • (1986) Constructive Approximation , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 20
    • 85069071888 scopus 로고    scopus 로고
    • Diplom degree thesis, Technische Universität Berlin, Germany, (in German)
    • S. Mika, "Nichtlineare Signalverarbeitung in Feature-Räumen," Diplom degree thesis, Technische Universität Berlin, Germany, 1998 (in German).
    • (1998) Nichtlineare Signalverarbeitung in Feature-Räumen
    • Mika, S.1
  • 22
    • 0001562735 scopus 로고    scopus 로고
    • Reducing run-time complexity in support vector machines
    • B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press
    • E. Osuna and F. Girosi, "Reducing run-time complexity in support vector machines," in Advances in Kernel Methods - Support Vector Learning, B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press, 1999, pp. 271-283.
    • (1999) Advances in Kernel Methods - Support Vector Learning , pp. 271-283
    • Osuna, E.1    Girosi, F.2
  • 24
    • 0003893955 scopus 로고    scopus 로고
    • R. Oldenbourg Verlag, München, Doktor degree thesis, TU Berlin, (in German)
    • B. Schölkopf, Support Vector Learning, R. Oldenbourg Verlag, München, Doktor degree thesis, TU Berlin, 1997 (in German).
    • (1997) Support Vector Learning
    • Schölkopf, B.1
  • 25
    • 0000263906 scopus 로고    scopus 로고
    • Fast approximation of support vector kernel expansions, and an interpretation of clustering as approximation in feature spaces
    • P. Levi, M. Schanz, R.-J. Ahlers, and F. May, Eds., Informatik aktuell Berlin, Germany: Springer-Verlag
    • B. Schölkopf, P. Knirsch, A. Smola, and C. Burges, "Fast approximation of support vector kernel expansions, and an interpretation of clustering as approximation in feature spaces," in Mustererkennung 1998-20. DAGM-Symp., P. Levi, M. Schanz, R.-J. Ahlers, and F. May, Eds., Informatik aktuell Berlin, Germany: Springer-Verlag, 1998, pp. 124-132.
    • (1998) Mustererkennung 1998-20. DAGM-Symp. , pp. 124-132
    • Schölkopf, B.1    Knirsch, P.2    Smola, A.3    Burges, C.4
  • 26
    • 0001836232 scopus 로고    scopus 로고
    • Kernel PCA pattern reconstruction via approximate preimages
    • Perspectives in Neural Computing, L. Niklasson, M. Bodén, and T. Ziemke, Eds. Berlin, Germany: Springer-Verlag
    • B. Schölkopf, S. Mika, A. Smola, G. Rätsch, and K.-R. Müller, "Kernel PCA pattern reconstruction via approximate preimages," in Proc. 8th Int. Conf Artificial Neural Networks, Perspectives in Neural Computing, L. Niklasson, M. Bodén, and T. Ziemke, Eds. Berlin, Germany: Springer-Verlag, 1998, pp. 147-152.
    • (1998) Proc. 8th Int. Conf Artificial Neural Networks , pp. 147-152
    • Schölkopf, B.1    Mika, S.2    Smola, A.3    Rätsch, G.4    Müller, K.-R.5
  • 28
    • 51749084180 scopus 로고    scopus 로고
    • Prior knowledge in support vector kernels
    • M. Jordan, M. Kearns, and S. Solla, Eds. Cambridge, MA: MIT Press
    • B. Schölkopf, P. Simard, A. Smola, and V. Vapnik, "Prior knowledge in support vector kernels," in Advances in Neural Information Processing Systems 10, M. Jordan, M. Kearns, and S. Solla, Eds. Cambridge, MA: MIT Press, 1998, pp. 640-646.
    • (1998) Advances in Neural Information Processing Systems 10 , pp. 640-646
    • Schölkopf, B.1    Simard, P.2    Smola, A.3    Vapnik, V.4
  • 29
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear component analysis as a kernel eigenvalue problem
    • B. Schölkopf, A. Smola, and K.-R. Müller, "Nonlinear component analysis as a kernel eigenvalue problem," Neural Comput., vol. 10, pp. 1299-1319, 1998.
    • (1998) Neural Comput. , vol.10 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.2    Müller, K.-R.3
  • 31
    • 84879910175 scopus 로고    scopus 로고
    • From regularization operators to support vector kernels
    • M. Jordan, M. Kearns, and S. Solla, Eds. Cambridge, MA: MIT Press
    • A. Smola and B. Schölkopf, "From regularization operators to support vector kernels," in Advances in Neural Information Processing Systems 10, M. Jordan, M. Kearns, and S. Solla, Eds. Cambridge, MA: MIT Press, 1998, pp. 343-349.
    • (1998) Advances in Neural Information Processing Systems 10 , pp. 343-349
    • Smola, A.1    Schölkopf, B.2
  • 32
    • 85069066361 scopus 로고    scopus 로고
    • A tutorial on support vector regression
    • _, "A tutorial on support vector regression," NeuroCOLT, Rep. 19, 1998. Available http://svm.first.gmd.de
    • (1998) NeuroCOLT, Rep. 19
  • 33
    • 0142032204 scopus 로고    scopus 로고
    • Support vector classifier with asymmetric kernel function
    • M. Verleysen, Ed. Brussels: D Facto
    • K. Tsuda, "Support vector classifier with asymmetric kernel function," in Proc. ESANN, M. Verleysen, Ed. Brussels: D Facto, 1999, pp. 183-188.
    • (1999) Proc. ESANN , pp. 183-188
    • Tsuda, K.1
  • 37
    • 0008201734 scopus 로고    scopus 로고
    • Entropy numbers, operators, and support vector kernels
    • B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press
    • R. Williamson, A. Smola, and B. Schölkopf, "Entropy numbers, operators, and support vector kernels," in Advances in Kernel Methods - Support Vector Learning, B. Schölkopf, C. Burges, and A. Smola, Eds. Cambridge, MA: MIT Press, 1999, pp. 127-144.
    • (1999) Advances in Kernel Methods - Support Vector Learning , pp. 127-144
    • Williamson, R.1    Smola, A.2    Schölkopf, B.3
  • 38
    • 85069066441 scopus 로고    scopus 로고
    • Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators
    • _, "Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators," NeuroCOLT, Tech. Rep. 19, 1998. Available http://www.neurocolt.com
    • (1998) NeuroCOLT, Tech. Rep. 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.