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Volumn 32, Issue 3, 2012, Pages 389-400

An empirical feature-based learning algorithm producing sparse approximations

Author keywords

1 regularizer; Empirical features; Learning theory; Reproducing kernel Hilbert space; Sparsity

Indexed keywords

EMPIRICAL FEATURES; LEARNING THEORY; REGULARIZER; REPRODUCING KERNEL HILBERT SPACES; SPARSITY;

EID: 84857791088     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2011.07.005     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 52449145507 scopus 로고
    • The Hoffman-Wielandt inequality in infinite dimensions
    • R. Bhatia, and L. Elsner The Hoffman-Wielandt inequality in infinite dimensions Proc. Indian Acad. Sci. Math. Sci. 104 1994 483 494
    • (1994) Proc. Indian Acad. Sci. Math. Sci. , vol.104 , pp. 483-494
    • Bhatia, R.1    Elsner, L.2
  • 2
    • 51349158367 scopus 로고    scopus 로고
    • Kernel projection machine: A new tool for pattern recognition
    • G. Blanchard, P. Massart, R. Vert, and L. Zwald Kernel projection machine: a new tool for pattern recognition Proc. NIPS 2004 1649 1656
    • (2004) Proc. NIPS , pp. 1649-1656
    • Blanchard, G.1    Massart, P.2    Vert, R.3    Zwald, L.4
  • 3
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • DOI 10.1109/TIT.2005.862083
    • E.J. Candès, J. Romberg, and T. Tao Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inform. Theory 52 2006 489 509 (Pubitemid 43174093)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 4
    • 34548537866 scopus 로고    scopus 로고
    • Optimal rates for the regularized least-squares algorithm
    • A. Caponnetto, and E. De Vito Optimal rates for the regularized least-squares algorithm Found. Comput. Math. 7 2007 331 368
    • (2007) Found. Comput. Math. , vol.7 , pp. 331-368
    • Caponnetto, A.1    De Vito, E.2
  • 5
    • 77951538361 scopus 로고    scopus 로고
    • Cross-validation based adaptation for regularization operators in learning theory
    • A. Caponnetto, and Y. Yao Cross-validation based adaptation for regularization operators in learning theory Anal. Appl. 8 2010 161 183
    • (2010) Anal. Appl. , vol.8 , pp. 161-183
    • Caponnetto, A.1    Yao, Y.2
  • 7
    • 84972526350 scopus 로고
    • The variation of the spectrum of a normal matrix
    • A.J. Hoffman, and H.W. Wielandt The variation of the spectrum of a normal matrix Duke Math. J. 20 1953 37 39
    • (1953) Duke Math. J. , vol.20 , pp. 37-39
    • Hoffman, A.J.1    Wielandt, H.W.2
  • 8
    • 0348051018 scopus 로고
    • Variation of discrete spectra
    • T. Kato Variation of discrete spectra Comm. Math. Phys. 111 1987 501 504
    • (1987) Comm. Math. Phys. , vol.111 , pp. 501-504
    • Kato, T.1
  • 9
    • 4344709031 scopus 로고    scopus 로고
    • Random matrix approximation of spectra of integral operators
    • V. Koltchinskii, and E. Giné Random matrix approximation of spectra of integral operators Bernoulli 6 2000 113 167
    • (2000) Bernoulli , vol.6 , pp. 113-167
    • Koltchinskii, V.1    Giné, E.2
  • 11
    • 0001638327 scopus 로고
    • Optimum bounds for the distributions of martingales in Banach spaces
    • I. Pinelis Optimum bounds for the distributions of martingales in Banach spaces Ann. Probab. 22 1994 1679 1706
    • (1994) Ann. Probab. , vol.22 , pp. 1679-1706
    • Pinelis, I.1
  • 12
    • 33750051668 scopus 로고
    • Eigenvalues of positive definite kernels II
    • J.B. Reade Eigenvalues of positive definite kernels II SIAM J. Math. Anal. 15 1984 137 142
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 137-142
    • Reade, J.B.1
  • 13
    • 0005341464 scopus 로고
    • Eigenvalues of analytic kernels
    • J.B. Reade Eigenvalues of analytic kernels SIAM J. Math. Anal. 15 1984 133 136
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 133-136
    • Reade, J.B.1
  • 14
    • 34547455409 scopus 로고    scopus 로고
    • Learning theory estimates via integral operators and their approximations
    • S. Smale, and D.X. Zhou Learning theory estimates via integral operators and their approximations Constr. Approx. 26 2007 153 172
    • (2007) Constr. Approx. , vol.26 , pp. 153-172
    • Smale, S.1    Zhou, D.X.2
  • 15
    • 70449535860 scopus 로고    scopus 로고
    • Geometry on probability spaces
    • S. Smale, and D.X. Zhou Geometry on probability spaces Constr. Approx. 30 2009 311 323
    • (2009) Constr. Approx. , vol.30 , pp. 311-323
    • Smale, S.1    Zhou, D.X.2
  • 16
    • 67649954573 scopus 로고    scopus 로고
    • Online learning with Markov sampling
    • S. Smale, and D.X. Zhou Online learning with Markov sampling Anal. Appl. 7 2009 87 113
    • (2009) Anal. Appl. , vol.7 , pp. 87-113
    • Smale, S.1    Zhou, D.X.2
  • 18
    • 78649308061 scopus 로고    scopus 로고
    • Least square regression with indefinite kernels and coefficient regularization
    • H.W. Sun, and Q. Wu Least square regression with indefinite kernels and coefficient regularization Appl. Comput. Harmon. Anal. 30 2011 96 109
    • (2011) Appl. Comput. Harmon. Anal. , vol.30 , pp. 96-109
    • Sun, H.W.1    Wu, Q.2
  • 21
    • 0038105204 scopus 로고    scopus 로고
    • Capacity of reproducing kernel spaces in learning theory
    • D.X. Zhou Capacity of reproducing kernel spaces in learning theory IEEE Trans. Inform. Theory 49 2003 1743 1752
    • (2003) IEEE Trans. Inform. Theory , vol.49 , pp. 1743-1752
    • Zhou, D.X.1
  • 22
    • 84864041215 scopus 로고    scopus 로고
    • On the convergence of eigenspaces in kernel principal component analysis
    • Y. Weiss, B. Schölkopf, J. Platt, MIT Press Cambridge, MA
    • L. Zwald, and G. Blanchard On the convergence of eigenspaces in kernel principal component analysis Y. Weiss, B. Schölkopf, J. Platt, Adv. Neural Inf. Process. Syst. vol. 18 2006 MIT Press Cambridge, MA 1649 1656
    • (2006) Adv. Neural Inf. Process. Syst. , vol.18 , pp. 1649-1656
    • Zwald, L.1    Blanchard, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.