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Abstract
We give a simple technique for verifying the Restricted Isometry Property (as introduced by Candès and Tao) for random matrices that underlies Compressed Sensing. Our approach has two main… (More)

- Ronald A. DeVore
- 1989

This is a survey of nonlinear approximation, especially that part of the subject which is important in numerical computation. Nonlinear approximation means that the approximants do not come from… (More)

A machine for measuring and cutting predetermined lengths of electric cable such as armored (BX) or insulated cable which is supplied from a coil or reel to a "caterpillar" feed assembly and then to… (More)

- Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
- Math. Comput.
- 2001

This paper is concerned with the construction and analysis of wavelet-based adaptive algorithms for the numerical solution of elliptic equations. These algorithms approximate the solution u of the… (More)

- Peter Binev, Wolfgang Dahmen, Ronald A. DeVore
- Numerische Mathematik
- 2004

Summary.Adaptive Finite Element Methods for numerically solving elliptic equations are used often in practice. Only recently [12], [17] have these methods been shown to converge. However, this… (More)

- Antonin Chambolle, Ronald A. DeVore, Nam-Yong Lee, Bradley J. Lucier
- IEEE Trans. Image Processing
- 1998

This paper examines the relationship between wavelet-based image processing algorithms and variational problems. Algorithms are derived as exact or approximate minimizers of variational problems; in… (More)

- Ronald A. DeVore, Björn D. Jawerth, Bradley J. Lucier
- IEEE Trans. Information Theory
- 1992

A novel theory is introduced for analyzing image compression methods that are based on compression of wavelet decompositions. This theory precisely relates (a) the rate of decay in the error between… (More)

- Ronald A. DeVore
- J. Complexity
- 2007

Compressed sensing is a new area of signal processing. Its goal is to minimize the number of samples that need to be taken from a signal for faithful reconstruction. The performance of compressed… (More)

We consider the problem of approximating a given element f from a Hilbert space H by means of greedy algorithms and the application of such procedures to the regression problem in statistical… (More)