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Nonlinear Approximation (1998)

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by Ronald A. DeVore
Venue:ACTA NUMERICA
Citations:478 - 21 self
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@ARTICLE{DeVore98nonlinearapproximation,
    author = {Ronald A. DeVore},
    title = {Nonlinear Approximation},
    journal = {ACTA NUMERICA},
    year = {1998},
    volume = {7},
    pages = {51--150}
}

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Citations

1468 A Wavelet Tour of Signal Processing - Mallat - 1998
1418 Ten Lectures on Wavelets - Daubechies - 1992
1317 Biorthogonal bases of compactly supported wavelets - 8Cohen, Daubechies, et al. - 1990
1058 Sobolev spaces - Adams - 1975
813 Singular Integrals and Differentiability Properties of Functions - Stein - 1970
687 Estimation of dependences based on empirical data - Vapnik - 1982
428 Ideal Spatial Adaptation via Wavelet Shrinkage - 23Donoho, Johnstone - 1994
283 Interpolation Spaces, An Introduction - Bergh, Löfstrom - 1976
251 Adapted Wavelet Analysis from Theory to Software - Wickerhauser - 1994
196 Information-Based Complexity - Traub, Wasilkowski, et al. - 1988
193 R.: Interpolation of Operators - Bennett, Sharpley - 1988
187 Ondelettes et opérateurs - Meyer - 1990
186 Wavelets on the interval and fast wavelet transforms - Cohen, Daubechies - 1993
150 Wavelet and multiscale methods for operator equations - Dahmen - 1997
137 Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage - Chambolle, DeVore, et al. - 1998
136 Essentials of Padé Approximants - Baker - 1975
123 Compression of wavelet decomposition - DeVore, Jawerth, et al. - 1992
119 Translation invariant de-noising - Coifman, Donoho - 1995
113 A Fourier analysis of the finite element variational method, in: Constructive Aspects of Functional Analysis, G. Geymonat ed - Strang, Fix
112 A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training. The Annals of Statistics - Jones - 1992
111 Contributions to the problem of approximation of equidistant data by analytic functions - Schoenberg - 1946
102 Hp spaces of several variables - Fefferman, Stein - 1972
87 A discrete transform and decompositions of distribution spaces - Frazier, Jawerth - 1990
82 Entropy based algorithms for best basis selection - Coifman, Wickerhauser - 1992
74 Adaptive greedy approximations - Davis, Mallat, et al. - 1997
67 Some remarks on greedy algorithms - DeVore, Temlyakov - 1996
57 On the importance of combining wavelet-based non-linear approximation in coding strategies - Cohen, Daubechies, et al. - 2002
55 Zur Theorie der linearen und nichtlinearen Integralgleichungen I. Teil: Entwicklung willkürlicher Funktionen nach Systemen vorgeschriebener - Schmidt - 1907
51 The p and h-p versions of the finite element method, basic principles, and properties - Babuska, Suri - 1994
50 Analysis of low bit rate image transform coding - Falzon, Mallat - 1998
46 The inhomogeneous Dirichlet problem in Lipschitz domains - Jerison, Kenig - 1995
43 Rational approximation of real functions - Petrushev, Popov - 1987
40 Besov regularity for elliptic boundary value problems - Dahlke, DeVore - 1997
40 Remarques sur un résultat non publié de - Pisier - 1981
40 Wavelet shrinkage - Donoho, Johnstone - 1995
38 Good approximation by splines with variable knots - Boor - 1973
31 Hyperbolic wavelet approximation - DeVore, Konyagin, et al. - 1998
29 Nonlinear approximation and adaptive techniques for solving elliptic operator equations, in: Multicale Wavelet Methods for Partial Differential Equations - Dahlke, Dahmen, et al. - 1997
24 On the equivalence of the K−functional and moduli of continuity and some applications, in Constructive theory of functions of several variables - Johnen, Scherer - 1977
24 The best m-term approximation and greedy algorithms - Temlyakov - 1998
23 Piece-wise polynomial approximations of functions of the classes W α p - Birman, Solomjak - 1967
18 Degree of adaptive approximation - DeVORE, YU - 1990
17 Adaptive multiresolution schemes for shock computations - Harten - 1994
17 The widths of certain finite dimensional sets and classes of smooth functions - Kashin - 1977
14 Rational Approximation to jxj - Newman - 1964
13 Besov spaces on domains in R d - DeVore, Sharpley - 1993
12 On the power of adaption - Novak - 1996
11 Free multivariate splines - DeVore, Popov - 1987
11 and best-ortho-basis: a connection, Ann - Donoho, Cart - 1989
11 Direct and converse theorems for spline and rational approximation and Besov spaces, in Function spaces and applications - Petrushev - 1988
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