Albert Cohen

Olga Mula

Agustín Somacal

CoRR, 2024

2023

Solving PDEs with Incomplete Information.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Nonlinear Reduced Models for State and Parameter Estimation.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2022

Optimal pointwise sampling for L2 approximation.

[BibT_eX]

[DOI]

Matthieu Dolbeault

J. Complex., 2022

Optimal Stable Nonlinear Approximation.

[BibT_eX]

[DOI]

Guergana Petrova

Przemyslaw Wojtaszczyk

Found. Comput. Math., 2022

Correction to: Preface.

[BibT_eX]

[DOI]

Found. Comput. Math., 2022

Nonlinear approximation spaces for inverse problems.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Optimal pointwise sampling for L2 approximation.

[BibT_eX]

[DOI]

Matthieu Dolbeault

CoRR, 2021

2020

Optimal Reduced Model Algorithms for Data-Based State Estimation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

Guest Editorial: Special Issue in Memory of Mila Nikolova.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2020

Optimal sampling and Christoffel functions on general domains.

[BibT_eX]

[DOI]

Matthieu Dolbeault

CoRR, 2020

Nonlinear Methods for Model Reduction.

[BibT_eX]

[DOI]

CoRR, 2020

State Estimation - The Role of Reduced Models.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Sequential Sampling for Optimal Weighted Least Squares Approximations in Hierarchical Spaces.

[BibT_eX]

[DOI]

Benjamin Arras

Markus Bachmayr

SIAM J. Math. Data Sci., 2019

Preface.

[BibT_eX]

[DOI]

Found. Comput. Math., 2019

Correction to: On the Stability and Accuracy of Least Squares Approximations.

[BibT_eX]

[DOI]

Mark A. Davenport

Dany Leviatan

Found. Comput. Math., 2019

2018

Shape Holomorphy of the Stationary Navier-Stokes Equations.

[BibT_eX]

[DOI]

Christoph Schwab

Jakob Zech

SIAM J. Math. Anal., 2018

Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2018

2017

Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2017

Kolmogorov widths and low-rank approximations of parametric elliptic PDEs.

[BibT_eX]

[DOI]

Markus Bachmayr

Math. Comput., 2017

Data Assimilation in Reduced Modeling.

[BibT_eX]

[DOI]

Przemyslaw Wojtaszczyk

SIAM/ASA J. Uncertain. Quantification, 2017

2015

Kolmogorov widths under holomorphic mappings.

[BibT_eX]

[DOI]

CoRR, 2015

Approximation of high-dimensional parametric PDEs.

[BibT_eX]

[DOI]

Acta Numer., 2015

2014

High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs.

[BibT_eX]

[DOI]

Abdellah Chkifa

Christoph Schwab

Found. Comput. Math., 2014

2013

Learning-based multiresolution transforms with application to image compression.

[BibT_eX]

[DOI]

Francesc Aràndiga

Dionisio F. Yáñez

Signal Process., 2013

On the Stability and Accuracy of Least Squares Approximations.

[BibT_eX]

[DOI]

Mark A. Davenport

Dany Leviatan

Found. Comput. Math., 2013

2012

Greedy bisection generates optimally adapted triangulations.

[BibT_eX]

[DOI]

Jean-Marie Mirebeau

Math. Comput., 2012

Adaptive multiresolution analysis based on anisotropic triangulations.

[BibT_eX]

[DOI]

Math. Comput., 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]

Przemyslaw Wojtaszczyk

SIAM J. Math. Anal., 2011

2010

Anisotropic Smoothness Classes: From Finite Element Approximation to Image Models.

[BibT_eX]

[DOI]

Jean-Marie Mirebeau

J. Math. Imaging Vis., 2010

Edge detection insensitive to changes of illumination in the image.

[BibT_eX]

[DOI]

Image Vis. Comput., 2010

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

[BibT_eX]

[DOI]

Christoph Schwab

Found. Comput. Math., 2010

Design of Multiresolution Operators Using Statistical Learning Tools: Application to Compression of Signals.

[BibT_eX]

[DOI]

Francesc Aràndiga

Dionisio F. Yáñez

Proceedings of the Curves and Surfaces, 2010

2006

An architecture for distributed wavelet analysis and processing in sensor networks.

[BibT_eX]

[DOI]

Proceedings of the Fifth International Conference on Information Processing in Sensor Networks, 2006

2005

Interpolation and Approximation of Piecewise Smooth Functions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

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

[BibT_eX]

[DOI]

Vladimir N. Temlyakov

J. Mach. Learn. Res., 2005

2004

Adaptive Wavelet Galerkin Methods for Linear Inverse Problems.

[BibT_eX]

[DOI]

Marc Hoffmann

Markus Reiß

SIAM J. Numer. Anal., 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

Fully adaptive multiresolution finite volume schemes for conservation laws.

[BibT_eX]

[DOI]

Math. Comput., 2003

Edge adapted nonlinear multiscale transforms for compact image representation.

[BibT_eX]

[DOI]

Proceedings of the 2003 International Conference on Image Processing, 2003

2002

On the importance of combining wavelet-based nonlinear approximation with coding strategies.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2002

Tensor product multiresolution analysis with error control for compact image representation.

[BibT_eX]

[DOI]

Signal Process., 2002

Adaptive Wavelet Methods II - Beyond the Elliptic Case.

[BibT_eX]

[DOI]

Found. Comput. Math., 2002

Nonlinear Subdivision Schemes: Applications to Image Processing.

[BibT_eX]

[DOI]

Basarab Matei

Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

2001

Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2001

Adaptive wavelet methods for elliptic operator equations: Convergence rates.

[BibT_eX]

[DOI]

Math. Comput., 2001

Compact representation of images by edge adapted multiscale transforms.

[BibT_eX]

[DOI]

Basarab Matei

Proceedings of the 2001 International Conference on Image Processing, 2001

2000

Optimal Approximations of Transport Equations by Particle and Pseudoparticle Methods.

[BibT_eX]

[DOI]

Benoît Perthame

SIAM J. Math. Anal., 2000

Multiscale Approximation of Vortex Patches.

[BibT_eX]

[DOI]

Raphaël Danchin

SIAM J. Appl. Math., 2000

Wavelet adaptive method for second order elliptic problems: boundary conditions and domain decomposition.

[BibT_eX]

[DOI]

Roland Masson

Numerische Mathematik, 2000

1999

Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity.

[BibT_eX]

[DOI]

Roland Masson

SIAM J. Sci. Comput., 1999

1997

Nonlinear Approximation of Random Functions.

[BibT_eX]

[DOI]

Jean-Pierre D'Ales

SIAM J. Appl. Math., 1997

A Subdivision Scheme for Continuous-Scale B-Splines and Affine-Invariant Progressive Smoothing.

[BibT_eX]

[DOI]

Guillermo Sapiro

François Moreau de Saint-Martin

Alfred M. Bruckstein

J. Math. Imaging Vis., 1997

1995

A measure of near-orthogonality of PR biorthogonal filter banks.

[BibT_eX]

[DOI]