Ronald A. DeVore

Affiliations:
  • University of South Carolina, Department of Mathematics, Columbia, SC, USA


According to our database1, Ronald A. DeVore authored at least 52 papers between 1986 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Solving PDEs with Incomplete Information.
SIAM J. Numer. Anal., 2024

A note on best n-term approximation for generalized Wiener classes.
CoRR, 2024

Convergence and error control of consistent PINNs for elliptic PDEs.
CoRR, 2024

2023
Neural Network Approximation of Refinable Functions.
IEEE Trans. Inf. Theory, 2023

Weighted variation spaces and approximation by shallow ReLU networks.
CoRR, 2023

2022
Optimal Stable Nonlinear Approximation.
Found. Comput. Math., 2022

Optimal Learning.
CoRR, 2022

2021
Neural network approximation.
Acta Numer., May, 2021

2020
Optimal Reduced Model Algorithms for Data-Based State Estimation.
SIAM J. Numer. Anal., 2020

Nonlinear Methods for Model Reduction.
CoRR, 2020

State Estimation - The Role of Reduced Models.
CoRR, 2020

2019
Nonlinear Approximation and (Deep) ReLU Networks.
CoRR, 2019

2017
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations.
SIAM J. Math. Anal., 2017

Data Assimilation in Reduced Modeling.
SIAM/ASA J. Uncertain. Quantification, 2017

2016
Convex Optimization on Banach Spaces.
Found. Comput. Math., 2016

Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations.
Found. Comput. Math., 2016

2015
Kolmogorov widths under holomorphic mappings.
CoRR, 2015

Approximation of high-dimensional parametric PDEs.
Acta Numer., 2015

2013
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients.
SIAM J. Numer. Anal., 2013

Processing Terrain Point Cloud Data.
SIAM J. Imaging Sci., 2013

2012
Convergence Rates of AFEM with H -1 Data.
Found. Comput. Math., 2012

2011
Convergence Rates for Greedy Algorithms in Reduced Basis Methods.
SIAM J. Math. Anal., 2011

Tree approximation of the long wave radiation parameterization in the NCAR CAM global climate model.
J. Comput. Appl. Math., 2011

2010
Convergence Rates of Best <i>N</i>-term Galerkin Approximations for a Class of Elliptic sPDEs.
Found. Comput. Math., 2010

2008
Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery.
Proceedings of the 42nd Annual Conference on Information Sciences and Systems, 2008

2007
Deterministic constructions of compressed sensing matrices.
J. Complex., 2007

2006
A/D conversion with imperfect quantizers.
IEEE Trans. Inf. Theory, 2006

Approximation Methods for Supervised Learning.
Found. Comput. Math., 2006

2005
Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions.
J. Mach. Learn. Res., 2005

2004
Adaptive Finite Element Methods with convergence rates.
Numerische Mathematik, 2004

Fast computation in adaptive tree approximation.
Numerische Mathematik, 2004

Vision-based control of micro-air-vehicles: progress and problems in estimation.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
Adaptive Wavelet Schemes for Nonlinear Variational Problems.
SIAM J. Numer. Anal., 2003

Sparse Evaluation of Compositions of Functions Using Multiscale Expansions.
SIAM J. Math. Anal., 2003

Best Basis Selection for Approximation in L<sub>p</sub>.
Found. Comput. Math., 2003

Editorial.
Found. Comput. Math., 2003

2002
Adaptive Wavelet Methods II - Beyond the Elliptic Case.
Found. Comput. Math., 2002

Near Best Tree Approximation.
Adv. Comput. Math., 2002

Motion estimation with the redundant wavelet transform.
Proceedings of the Third International Workshop on Digital and Computational Video, 2002

2001
Adaptive wavelet methods for elliptic operator equations: Convergence rates.
Math. Comput., 2001

1998
Data Compression and Harmonic Analysis.
IEEE Trans. Inf. Theory, 1998

Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage.
IEEE Trans. Image Process., 1998

1997
Nonlinear Approximation in Finite-Dimensional Spaces.
J. Complex., 1997

1996
Some remarks on greedy algorithms.
Adv. Comput. Math., 1996

1994
Wavelet compression and segmentation of digital mammograms.
J. Digit. Imaging, 1994

Classifying the Smoothness of Images: Theory and Applications to Wavelet Image Processing.
Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994

1993
Wavelet compression and nonlinear <i>n</i>-widths.
Adv. Comput. Math., 1993

Constructive Approximation.
Grundlehren der mathematischen Wissenschaften 303, Springer, ISBN: 978-3-540-50627-0, 1993

1992
Image compression through wavelet transform coding.
IEEE Trans. Inf. Theory, 1992

Surface compression.
Comput. Aided Geom. Des., 1992

1991
Data Compression Using Wavelets: Errors, Smoothness, and Quantization.
Proceedings of the IEEE Data Compression Conference, 1991

1986
Error analysis for piecewise quadratic curve fitting algorithms.
Comput. Aided Geom. Des., 1986


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