Ronald A. DeVore

CoRR, 2024

Convergence and error control of consistent PINNs for elliptic PDEs.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Neural Network Approximation of Refinable Functions.

[BibT_eX]

[DOI]

Ingrid Daubechies

Nadav Dym

Shira Faigenbaum-Golovin

IEEE Trans. Inf. Theory, 2023

Weighted variation spaces and approximation by shallow ReLU networks.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Optimal Stable Nonlinear Approximation.

[BibT_eX]

[DOI]

Found. Comput. Math., 2022

Optimal Learning.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Neural network approximation.

[BibT_eX]

[DOI]

Boris Hanin

Acta Numer., May, 2021

2020

Optimal Reduced Model Algorithms for Data-Based State Estimation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

Nonlinear Methods for Model Reduction.

[BibT_eX]

[DOI]

CoRR, 2020

State Estimation - The Role of Reduced Models.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Nonlinear Approximation and (Deep) ReLU Networks.

[BibT_eX]

[DOI]

CoRR, 2019

2017

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2017

Data Assimilation in Reduced Modeling.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2017

2016

Convex Optimization on Banach Spaces.

[BibT_eX]

[DOI]

Found. Comput. Math., 2016

Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

Found. Comput. Math., 2016

2015

Kolmogorov widths under holomorphic mappings.

[BibT_eX]

[DOI]

CoRR, 2015

Approximation of high-dimensional parametric PDEs.

[BibT_eX]

[DOI]

Acta Numer., 2015

2013

Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients.

[BibT_eX]

[DOI]

Andrea Bonito

Ricardo H. Nochetto

SIAM J. Numer. Anal., 2013

Processing Terrain Point Cloud Data.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2013

2012

Convergence Rates of AFEM with H -1 Data.

[BibT_eX]

[DOI]

Ricardo H. Nochetto

Found. Comput. Math., 2012

2011

Convergence Rates for Greedy Algorithms in Reduced Basis Methods.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2011

Tree approximation of the long wave radiation parameterization in the NCAR CAM global climate model.

[BibT_eX]

[DOI]

Alexei A. Belochitski

Peter Binev

Michael S. Fox-Rabinovitz

Vladimir M. Krasnopolsky

Philipp Lamby

J. Comput. Appl. Math., 2011

2010

Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs.

[BibT_eX]

[DOI]

Christoph Schwab

Found. Comput. Math., 2010

2008

Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery.

[BibT_eX]

[DOI]

Proceedings of the 42nd Annual Conference on Information Sciences and Systems, 2008

2007

Deterministic constructions of compressed sensing matrices.

[BibT_eX]

[DOI]

J. Complex., 2007

2006

A/D conversion with imperfect quantizers.

[BibT_eX]

[DOI]

Ingrid Daubechies

C. Sinan Güntürk

Vinay A. Vaishampayan

IEEE Trans. Inf. Theory, 2006

Approximation Methods for Supervised Learning.

[BibT_eX]

[DOI]

Gerard Kerkyacharian

Dominique Picard

Found. Comput. Math., 2006

2005

Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2005

2004

Adaptive Finite Element Methods with convergence rates.

[BibT_eX]

[DOI]

Peter Binev

Numerische Mathematik, 2004

Fast computation in adaptive tree approximation.

[BibT_eX]

[DOI]

Peter Binev

Numerische Mathematik, 2004

Vision-based control of micro-air-vehicles: progress and problems in estimation.

[BibT_eX]

[DOI]

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003

Adaptive Wavelet Schemes for Nonlinear Variational Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2003

Sparse Evaluation of Compositions of Functions Using Multiscale Expansions.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2003

Best Basis Selection for Approximation in Lp.

[BibT_eX]

[DOI]

Found. Comput. Math., 2003

Editorial.

[BibT_eX]

[DOI]

Arieh Iserles

Michael J. Todd

Found. Comput. Math., 2003

2002

Adaptive Wavelet Methods II - Beyond the Elliptic Case.

[BibT_eX]

[DOI]

Found. Comput. Math., 2002

Near Best Tree Approximation.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2002

Motion estimation with the redundant wavelet transform.

[BibT_eX]

[DOI]

Alexander Petukhov

Robert C. Sharpley

Proceedings of the Third International Workshop on Digital and Computational Video, 2002

2001

Adaptive wavelet methods for elliptic operator equations: Convergence rates.

[BibT_eX]

[DOI]

Math. Comput., 2001

1998

Data Compression and Harmonic Analysis.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 1998

Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 1998

1997

Nonlinear Approximation in Finite-Dimensional Spaces.

[BibT_eX]

[DOI]

J. Complex., 1997

1996

Some remarks on greedy algorithms.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1996

1994

Wavelet compression and segmentation of digital mammograms.

[BibT_eX]

[DOI]

J. Digit. Imaging, 1994

Classifying the Smoothness of Images: Theory and Applications to Wavelet Image Processing.

[BibT_eX]

[DOI]

Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994

1993

Wavelet compression and nonlinear n-widths.

[BibT_eX]

[DOI]

George Kyriazis

Dany Leviatan

Vladimir M. Tikhomirov

Adv. Comput. Math., 1993

Constructive Approximation.

[BibT_eX]

George G. Lorentz

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

1992

Image compression through wavelet transform coding.

[BibT_eX]

[DOI]

Björn D. Jawerth

IEEE Trans. Inf. Theory, 1992

Surface compression.

[BibT_eX]

[DOI]

Björn D. Jawerth

Comput. Aided Geom. Des., 1992

1991

Data Compression Using Wavelets: Errors, Smoothness, and Quantization.

[BibT_eX]

[DOI]

Björn D. Jawerth

Proceedings of the IEEE Data Compression Conference, 1991

1986

Error analysis for piecewise quadratic curve fitting algorithms.

[BibT_eX]

[DOI]