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Volumn 25, Issue 1-3, 2006, Pages 73-90

Simultaneous approximation by greedy algorithms

Author keywords

Convergence; Greedy algorithms; Simultaneous approximation

Indexed keywords


EID: 33745640090     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-004-7613-4     Document Type: Article
Times cited : (37)

References (43)
  • 1
    • 0027599793 scopus 로고
    • Universal approximation bounds for superposition of n sigmoidal functions
    • A.R. Barron, Universal approximation bounds for superposition of n sigmoidal functions, IEEE Trans. Inform. Theory 39 (1993) 930-945.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 930-945
    • Barron, A.R.1
  • 4
    • 85009724776 scopus 로고    scopus 로고
    • Nonlinear approximation
    • R.A. DeVore, Nonlinear approximation, Acta Numerica (1998) 51-150.
    • (1998) Acta Numerica , pp. 51-150
    • DeVore, R.A.1
  • 5
    • 0001220724 scopus 로고
    • Compression of wavelet decompositions
    • R. DeVore, B. Jawerth and V. Popov, Compression of wavelet decompositions, Amer. J. Math. 114 (1992) 737-785.
    • (1992) Amer. J. Math. , vol.114 , pp. 737-785
    • DeVore, R.1    Jawerth, B.2    Popov, V.3
  • 6
    • 21844508292 scopus 로고
    • Nonlinear approximation by trigonometric sums
    • R.A. DeVore and V.N. Temlyakov, Nonlinear approximation by trigonometric sums, J. Fourier Anal. Appl. 2 (1995) 29-48.
    • (1995) J. Fourier Anal. Appl. , vol.2 , pp. 29-48
    • DeVore, R.A.1    Temlyakov, V.N.2
  • 8
    • 0001363570 scopus 로고    scopus 로고
    • Nonlinear approximation in finite-dimensional spaces
    • R.A. DeVore and V.N. Temlyakov, Nonlinear approximation in finite-dimensional spaces, J. Complexity 13 (1997) 489-508.
    • (1997) J. Complexity , vol.13 , pp. 489-508
    • DeVore, R.A.1    Temlyakov, V.N.2
  • 10
    • 0027873602 scopus 로고
    • Unconditional bases are optimal bases for data compression and for statistical estimation
    • D.L. Donoho, Unconditional bases are optimal bases for data compression and for statistical estimation, Appl. Comput. Harmon. Anal. 1 (1993) 100-115.
    • (1993) Appl. Comput. Harmon. Anal. , vol.1 , pp. 100-115
    • Donoho, D.L.1
  • 12
    • 0031531584 scopus 로고    scopus 로고
    • Rate of convex approximation in non-Hilbert spaces
    • M. Donahue, L. Gurvits, C. Darken and E. Sontag, Rate of convex approximation in non-Hilbert spaces, Constr. Approx. 13 (1997) 187-220.
    • (1997) Constr. Approx. , vol.13 , pp. 187-220
    • Donahue, M.1    Gurvits, L.2    Darken, C.3    Sontag, E.4
  • 15
    • 0242381665 scopus 로고    scopus 로고
    • Some remarks on non-linear approximation with Schauder bases
    • R. Gribonval and M. Nielsen, Some remarks on non-linear approximation with Schauder bases, East J. Approx. 7 (2001) 267-285.
    • (2001) East J. Approx. , vol.7 , pp. 267-285
    • Gribonval, R.1    Nielsen, M.2
  • 16
    • 0000263797 scopus 로고
    • Projection pursuit
    • P.J. Huber, Projection pursuit, Ann. Statist. 13 (1985) 435-475.
    • (1985) Ann. Statist. , vol.13 , pp. 435-475
    • Huber, P.J.1
  • 17
    • 0000523636 scopus 로고
    • On a conjecture of Huber concerning the convergence of projection pursuit regression
    • L. Jones, On a conjecture of Huber concerning the convergence of projection pursuit regression, Ann. Statist. 15 (1987) 880-882.
    • (1987) Ann. Statist. , vol.15 , pp. 880-882
    • Jones, L.1
  • 18
    • 0000796112 scopus 로고
    • A simple lemma on greedy approximation in Hubert space and convergence rates for projection pursuit regression and neural network training
    • L. Jones, A simple lemma on greedy approximation in Hubert space and convergence rates for projection pursuit regression and neural network training, Ann. Statist. 20 (1992) 608-613.
    • (1992) Ann. Statist. , vol.20 , pp. 608-613
    • Jones, L.1
  • 21
    • 84951605996 scopus 로고
    • On estimating approximative characteristics of classes of functions with bounded mixed derivative
    • B.S. Kashin and V.N. Temlyakov, On estimating approximative characteristics of classes of functions with bounded mixed derivative, Math. Notes 58 (1995) 922-925.
    • (1995) Math. Notes , vol.58 , pp. 922-925
    • Kashin, B.S.1    Temlyakov, V.N.2
  • 23
    • 0001795111 scopus 로고    scopus 로고
    • A remark on greedy approximation in Banach spaces
    • S.V. Konyagin and V.N. Temlyakov, A remark on greedy approximation in Banach spaces, East J. Approx. 5 (1999) 1-15.
    • (1999) East J. Approx. , vol.5 , pp. 1-15
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 24
    • 0242350084 scopus 로고    scopus 로고
    • Rate of convergence of pure greedy algorithm
    • S.V. Konyagin and V.N. Temlyakov, Rate of convergence of pure greedy algorithm, East J. Approx. 5 (1999) 493-499.
    • (1999) East J. Approx. , vol.5 , pp. 493-499
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 25
    • 33745674883 scopus 로고    scopus 로고
    • Convergence of greedy approximation I
    • IMI-Preprint Series
    • S.V. Konyagin and V.N. Temlyakov, Convergence of greedy approximation I. General systems, IMI-Preprint Series 08 (2002) 1-19.
    • (2002) General Systems , vol.8 , pp. 1-19
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 26
    • 33745659175 scopus 로고    scopus 로고
    • Convergence of greedy approximation II
    • IMI-Preprint Series
    • S.V. Konyagin and V.N. Temlyakov, Convergence of greedy approximation II. The trigonometric system, IMI-Preprint Series 09 (2002) 1-25.
    • (2002) The Trigonometric System , vol.9 , pp. 1-25
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 27
    • 1842438813 scopus 로고    scopus 로고
    • Greedy approximation with regard to bases and general minimal systems
    • S.V. Konyagin and V.N. Temlyakov, Greedy approximation with regard to bases and general minimal systems, Serdica Math. J. 28 (2002) 305-328.
    • (2002) Serdica Math. J. , vol.28 , pp. 305-328
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 32
    • 0002228695 scopus 로고
    • Remarks on projection pursuit regression and density estimation
    • L. Rejtö and G.G. Walter, Remarks on projection pursuit regression and density estimation, Stochastic Anal. Appl. 10 (1992) 213-222.
    • (1992) Stochastic Anal. Appl. , vol.10 , pp. 213-222
    • Rejtö, L.1    Walter, G.G.2
  • 33
    • 34250957105 scopus 로고
    • Zur theorie der linearen und nichtlinearen Integralgleichungen. I
    • E. Schmidt, Zur Theorie der linearen und nichtlinearen Integralgleichungen. I, Math. Ann. 63 (1906-1907) 433-476.
    • (1906) Math. Ann. , vol.63 , pp. 433-476
    • Schmidt, E.1
  • 34
    • 0032334353 scopus 로고    scopus 로고
    • Greedy algorithm and m-term trigonometric approximation
    • V.N. Temlyakov, Greedy algorithm and m-term trigonometric approximation, Constr. Approx. 14 (1998) 569-587.
    • (1998) Constr. Approx. , vol.14 , pp. 569-587
    • Temlyakov, V.N.1
  • 35
    • 0009270747 scopus 로고    scopus 로고
    • The best m-term approximation and greedy algorithms
    • V.N. Temlyakov, The best m-term approximation and greedy algorithms, Adv. Comput. Math. 8 (1998) 249-265.
    • (1998) Adv. Comput. Math. , vol.8 , pp. 249-265
    • Temlyakov, V.N.1
  • 36
    • 0002536660 scopus 로고    scopus 로고
    • Nonlinear m-term approximation with regard to the multivariate Haar system
    • V.N. Temlyakov, Nonlinear m-term approximation with regard to the multivariate Haar system, East J. Approx. 4 (1998) 87-106.
    • (1998) East J. Approx. , vol.4 , pp. 87-106
    • Temlyakov, V.N.1
  • 37
    • 0033130204 scopus 로고    scopus 로고
    • Greedy algorithms and m-term approximation with regard to redundant dictionaries
    • V.N. Temlyakov, Greedy algorithms and m-term approximation with regard to redundant dictionaries, J. Approx. Theory 98 (1999) 117-145.
    • (1999) J. Approx. Theory , vol.98 , pp. 117-145
    • Temlyakov, V.N.1
  • 38
    • 0034343566 scopus 로고    scopus 로고
    • Greedy algorithms with regard to the multivariate systems with a special structure
    • V.N. Temlyakov, Greedy algorithms with regard to the multivariate systems with a special structure, Constr. Approx. 16 (2000) 399-425.
    • (2000) Constr. Approx. , vol.16 , pp. 399-425
    • Temlyakov, V.N.1
  • 39
    • 22844454658 scopus 로고    scopus 로고
    • Weak greedy algorithms
    • V.N. Temlyakov, Weak greedy algorithms, Adv. Comput. Math. 12 (2000) 213-227.
    • (2000) Adv. Comput. Math. , vol.12 , pp. 213-227
    • Temlyakov, V.N.1
  • 40
    • 0036299378 scopus 로고    scopus 로고
    • A criterion for convergence of weak greedy algorithms
    • V.N. Temlyakov, A criterion for convergence of weak greedy algorithms, Adv. Comput. Math. 17 (2002) 269-280.
    • (2002) Adv. Comput. Math. , vol.17 , pp. 269-280
    • Temlyakov, V.N.1
  • 43
    • 0008528630 scopus 로고    scopus 로고
    • Greedy algorithms for general systems
    • P. Wojtaszczyk, Greedy algorithms for general systems, J. Approx. Theory 107 (2000) 293-314.
    • (2000) J. Approx. Theory , vol.107 , pp. 293-314
    • Wojtaszczyk, P.1


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