Constructive Approximation

Title Publication Date Language Citations
A Simple Proof of the Restricted Isometry Property for Random Matrices2008/01/15English1,035
On Early Stopping in Gradient Descent Learning2007/04/04English390
Learning Theory Estimates via Integral Operators and Their Approximations2007/03/15English293
O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling2011/04/16English142
Simple Cubature Formulas with High Polynomial Exactness1999/10/01English135
Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles2008/02/12English135
Sparse Components of Images and Optimal Atomic Decompositions2001/01/01English101
Multivariate Interpolation by Polynomials and Radial Basis Functions2004/12/22English95
Analysis of the Intrinsic Mode Functions2005/08/26English91
The Thresholding Greedy Algorithm, Greedy Bases, and Duality2003/08/0179
Pairs of Dual Wavelet Frames from Any Two Refinable Functions2004/05/0178
Greedy Algorithms for Reduced Bases in Banach Spaces2013/02/26English74
Weighted Polynomial Inequalities with Doubling and A ∞ Weights2000/01/01English74
Construction of Compactly Supported Shearlet Frames2011/10/13English73
Hyperbolic Wavelet Approximation1997/01/01English71
Sobolev Error Estimates and a Bernstein Inequality for Scattered Data Interpolation via Radial Basis Functions2006/04/12English69
Mercer’s Theorem on General Domains: On the Interaction between Measures, Kernels, and RKHSs2012/02/16English68
Critical Length for Design Purposes and Extended Chebyshev Spaces2003/11/0165
Biorthogonal Wavelet Expansions1997/07/01English65
Compressed Sensing and Matrix Completion with Constant Proportion of Corruptions2012/12/19English62
Biorthogonal Multiwavelets on the Interval: Cubic Hermite Splines2000/04/01English62
On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1-Stability of L 2-Projection2013/05/29English60
Summation and transformation formulas for elliptic hypergeometric series2002/12/01English59
Dual Wavelet Frames and Riesz Bases in Sobolev Spaces2008/08/15English59
Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ Networks2021/04/26English58
Constructive Representation of Functions in Low-Rank Tensor Formats2012/12/19English57
Construction of Normalized B-Splines for a Family of Smooth Spline Spaces Over Powell–Sabin Triangulations2012/01/24English57
Optimized Tensor-Product Approximation Spaces2000/01/01English55
Intrinsic Localization of Frames2005/04/08English55
Greedy Algorithm and m -Term Trigonometric Approximation1998/09/25English54