메뉴 건너뛰기




Volumn 6, Issue , 2005, Pages

Frames, reproducing kernels, regularization and learning

Author keywords

Frames; Kernel; Regularization; Wavelets

Indexed keywords

APPROXIMATION THEORY; FUNCTION EVALUATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 25444533296     PISSN: 15337928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (61)

References (36)
  • 1
    • 25444475090 scopus 로고    scopus 로고
    • Wavelet kernel penalized estimation for non-equispaced design regression
    • to appear
    • U. Amato, A. Antoniadis, and M. Pensky. Wavelet kernel penalized estimation for non-equispaced design regression. Statistics and Computing, to appear, 2004.
    • (2004) Statistics and Computing
    • Amato, U.1    Antoniadis, A.2    Pensky, M.3
  • 2
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn. Theory of reproducing kernels. Trans. Am. Math. Soc., (68):337-404, 1950.
    • (1950) Trans. Am. Math. Soc. , Issue.68 , pp. 337-404
    • Aronszajn, N.1
  • 6
    • 0026966646 scopus 로고
    • A training algorithm for optimal margin classifiers
    • D. Haussler, editor, Pittsburgh, PA. ACM Press
    • B. E. Boser, I. M. Guyon, and V. N. Vapnik. A training algorithm for optimal margin classifiers. In D. Haussler, editor, 5th Annual ACM Workshop on COLT, pages 144-152, Pittsburgh, PA, 1992. ACM Press.
    • (1992) 5th Annual ACM Workshop on COLT , pp. 144-152
    • Boser, B.E.1    Guyon, I.M.2    Vapnik, V.N.3
  • 8
    • 27144489164 scopus 로고    scopus 로고
    • A tutorial on support vector machines for pattern recognition
    • C. Burges. A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery, 2(2), 1998.
    • (1998) Data Mining and Knowledge Discovery , vol.2 , Issue.2
    • Burges, C.1
  • 10
    • 25444503616 scopus 로고
    • SIAM, CBMS-NSF regional conferences edition
    • I. Daubechies. Ten Lectures on Wavelet. SIAM, CBMS-NSF regional conferences edition, 1992.
    • (1992) Ten Lectures on Wavelet
    • Daubechies, I.1
  • 12
    • 84968468760 scopus 로고
    • A class of nonharmonic fourier series
    • R. Duffin and A. Schaeffer. A class of nonharmonic fourier series. Trans. Amer. Math. Soc., 72: 341-366, 1952.
    • (1952) Trans. Amer. Math. Soc. , vol.72 , pp. 341-366
    • Duffin, R.1    Schaeffer, A.2
  • 14
    • 0035461049 scopus 로고    scopus 로고
    • On a class of a support vector kernels based on frames in function hilbert spaces
    • J. Gao, C. Harris, and S. Gunn. On a class of a support vector kernels based on frames in function hilbert spaces. Neural Computation, 13(9): 1975-1994, 2001.
    • (2001) Neural Computation , vol.13 , Issue.9 , pp. 1975-1994
    • Gao, J.1    Harris, C.2    Gunn, S.3
  • 15
    • 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 Computation, 10(6): 1455-1480, 1998.
    • (1998) Neural Computation , vol.10 , Issue.6 , pp. 1455-1480
    • Girosi, F.1
  • 16
    • 0001219859 scopus 로고
    • Regularization theory and neural networks architectures
    • F. Girosi, M. Jones, and T. Poggio. Regularization theory and neural networks architectures. Neural Computation, 7(2):219-269, 1995.
    • (1995) Neural Computation , vol.7 , Issue.2 , pp. 219-269
    • Girosi, F.1    Jones, M.2    Poggio, T.3
  • 17
    • 0027815286 scopus 로고
    • Acceleration of the frame algorithm
    • K. Grochenig. Acceleration of the frame algorithm. IEEE Trans. Signal Proc., 41(12):3331-3340, 1993.
    • (1993) IEEE Trans. Signal Proc. , vol.41 , Issue.12 , pp. 3331-3340
    • Grochenig, K.1
  • 20
    • 0040321375 scopus 로고    scopus 로고
    • Time series data library
    • University of Monash, Dept of Econometrics and Business Statistics
    • R. Hyndman and M. Akram. Time Series data Library. Technical report, University of Monash, Dept of Econometrics and Business Statistics, 1998. http://www-personal.buseco.monash.edu.au/hyndman/TSDL/index.htm.
    • (1998) Technical Report
    • Hyndman, R.1    Akram, M.2
  • 22
    • 0015000439 scopus 로고
    • Some results on Tchebycheffian spline functions
    • G. Kimeldorf and G. Wahba. Some results on Tchebycheffian spline functions. J. Math. Anal. Applic., 33:82-95, 1971.
    • (1971) J. Math. Anal. Applic. , vol.33 , pp. 82-95
    • Kimeldorf, G.1    Wahba, G.2
  • 25
    • 0032203371 scopus 로고    scopus 로고
    • Incorporating prior information in machine learning by creating virtual examples
    • P. Niyogi, F. Girosi, and T. Poggio. Incorporating prior information in machine learning by creating virtual examples. In Proceedings of the IEEE, volume 86, pages 2196-2209, 1998.
    • (1998) Proceedings of the IEEE , vol.86 , pp. 2196-2209
    • Niyogi, P.1    Girosi, F.2    Poggio, T.3
  • 26
    • 25444460965 scopus 로고    scopus 로고
    • Multiscale kernels
    • Institut fur Numerische und Angewandte Mathematik, Universitt Gottingen
    • R. Opfer. Multiscale kernels. Technical report, Institut fur Numerische und Angewandte Mathematik, Universitt Gottingen, 2004a.
    • (2004) Technical Report
    • Opfer, R.1
  • 27
    • 25444487332 scopus 로고    scopus 로고
    • Tight frame expansions of multiscale reproducing kernels in Sobolev spaces
    • Institut fur Numerische und Angewandte Mathematik, Universitt Gottingen
    • R. Opfer. Tight frame expansions of multiscale reproducing kernels in Sobolev spaces. Technical report, Institut fur Numerische und Angewandte Mathematik, Universitt Gottingen, 2004b.
    • (2004) Technical Report
    • Opfer, R.1
  • 28
    • 51749084180 scopus 로고    scopus 로고
    • Prior knowledge in support vector kernels
    • M. I. Jordan, M. J. Kearns, and S. A. Solla, editors, Cambridge, MA. MIT Press
    • B. Scholkopf, P. Y. Simard, A. J. Smola, and V. Vapnik. Prior knowledge in support vector kernels. In M. I. Jordan, M. J. Kearns, and S. A. Solla, editors, Advances in Neural information processings systems, volume 10, pages 640-646, Cambridge, MA, 1998. MIT Press.
    • (1998) Advances in Neural Information Processings Systems , vol.10 , pp. 640-646
    • Scholkopf, B.1    Simard, P.Y.2    Smola, A.J.3    Vapnik, V.4
  • 29
    • 0004094721 scopus 로고    scopus 로고
    • PhD thesis, Published by: GMD, Birlinghoven
    • A. Smola. Learning with Kernels. PhD thesis, Published by: GMD, Birlinghoven, 1998.
    • (1998) Learning with Kernels
    • Smola, A.1
  • 30
    • 0032098361 scopus 로고    scopus 로고
    • The connection between regularization operators and support vector kernels
    • A. Smola, B. Scholkopf, and KR Muller. The connection between regularization operators and support vector kernels. Neural Networks, 11:637-649, 1998.
    • (1998) Neural Networks , vol.11 , pp. 637-649
    • Smola, A.1    Scholkopf, B.2    Muller, K.R.3
  • 36
    • 0004026768 scopus 로고    scopus 로고
    • An introduction to model building with reproducing kernel hilbert spaces
    • University of Wisconsin-Madison
    • G. Wahba. An introduction to model building with reproducing kernel hilbert spaces. Technical Report TR-1020, University of Wisconsin-Madison, 2000.
    • (2000) Technical Report , vol.TR-1020
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.