-
1
-
-
0027599793
-
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
-
Nonlinear approximation
-
R.A. DeVore, Nonlinear approximation, Acta Numerica (1998) 51-150.
-
(1998)
Acta Numerica
, pp. 51-150
-
-
DeVore, R.A.1
-
5
-
-
0001220724
-
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
-
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
-
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
-
9
-
-
1142273869
-
-
IMI-Preprint Series
-
S.J. Dilworth, N.J. Kalton, D. Kutzarova and V.N. Temlyakov, The tresholding greedy algorithm, greedy bases, and duality, IMI-Preprint Series 23 (2001) 1-23.
-
(2001)
The Tresholding Greedy Algorithm, Greedy Bases, and Duality
, vol.23
, pp. 1-23
-
-
Dilworth, S.J.1
Kalton, N.J.2
Kutzarova, D.3
Temlyakov, V.N.4
-
10
-
-
0027873602
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
22
-
-
33745647242
-
-
University of Paris 6 and 7, Preprint
-
G. Kerkyacharian and D. Picard, Entropy, universal coding, approximation and bases properties, University of Paris 6 and 7, Preprint 663 (2001) 1-32.
-
(2001)
Entropy, Universal Coding, Approximation and Bases Properties
, vol.663
, pp. 1-32
-
-
Kerkyacharian, G.1
Picard, D.2
-
23
-
-
0001795111
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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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