Albert Cohen

Welcome to the home page of Albert Cohen.

Address: Laboratoire Jacques-Louis Lions,
Bureau 2E19
Université Pierre et Marie Curie
175 rue du Chevaleret
75013 Paris, France

Phone: (33)(1)44277195
Fax: (33)(1)44277195
email : cohen@ann.jussieu.fr


Notes du cours de R. DeVore   Foundations of compressed sensing 

Capturing functions in high dimensions 

Capturing functions in infinite dimensions

 

BOOK  Numerical Analysis of Wavelet Methods
published by Elsevier, 2003, ISBN: 0-444-51124-5.



Cours LM216  Notes du cours   Exercices  Probleme1  Probleme2


Cours LM334  Notes du cours


Cours de M2  Notes du cours 

Exercices  Exercices 1 Exercices 2 Exercices 3 Exercices 4

Problemes  Probleme 1 Probleme 2 Probleme 3 Probleme 4 Probleme 5 Probleme 6 Probleme 7 Probleme 8 Probleme 9 Probleme 10 Probleme 11 Probleme 12 



I. RELATED WEB SITES

Graduate studies in mathematical modeling: Master Mathématiques de la Modélisation


II. SHORT CURRICULUM VITAE AND LIST OF PUBLICATION

Abridged curriculum vitae 
Complete list of publications


III. AVAILABLE PREPRINTS

The following preprints are available 
in .pdf or compressed (.ps.gz or .pdf.gz) format (for the complete list 
of my publications see below):

Matrix subdivision schemes
(with N.Dyn and D.Levin)

Multiscale methods on bounded domains
(with R.DeVore and W.Dahmen)

Multiscale methods in image processing

A fast and accurate multiscale scheme for parabolic
equations
(with A.Averbuch and M.Israeli)

Adaptive wavelet methods for elliptic operator 
equations - Convergence rates
(with R.DeVore and W.Dahmen)

On the importance of combining wavelet-based
non-linear approximation with coding strategies
(with I.Daubechies, O.Gulieruz and M.Orchard)

Tree approximation and encoding
(with W.Dahmen, I.Daubechies and R.DeVore)

Maximal spaces with given
rate of convergence for thresholding algorithms
(with R.DeVore, G.Kerkyacharian and D.Picard)

Applied and computational aspects of nonlinear
wavelet approximation

Fully adaptive multiresolution schemes for
conservation laws
(with S.M. Kaber, S. Mueller and M. Postel)

Finite element wavelets
(with L.-M. Echeverry and Q. Sun)

Harmonic analysis of the space BV
(with W. Dahmen, I. Daubechies and R. DeVore)

Multiresolution analysis on triangles: application to conservation laws
(with S.M. Kaber and M. Postel)

Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments
(with A. Barinka, T. Barsch, P. Charton, S. Dahlke, W. Dahmen and K. Urban)

Adaptive Wavelet Methods II -- Beyond the Elliptic Case
(with W. Dahmen and R. DeVore)

Tensor Product Multiresolution Analysis with Error Control for
Compact Image Representations
(with S. Amat, P. Arandiga and R. Donat)

Data Compression with ENO Schemes - a case study
(with S. Amat, P. Arandiga, R. Donat, G. Garcia and M. Von Oehsen)

Quasilinear subdivision schemes with application to ENO interpolation
(with N. Dyn and B. Matei)

Compact representations of images by edge adapted multiscale transforms
(with B. Matei)

Multiscale adaptive processing for evolution equations

Adaptive methods for PDEs - Wavelets or mesh refinement ?

Adaptive wavelet techniques in numerical simulation
(with W. Dahmen and R. DeVore)

Universal algorithms in learning theory 
(with P.Binev, W.Dahmen, R.DeVore and V.Temlyakov)

Approximation and learning by greedy algorithms
(with A.Barron, W.Dahmen and R.DeVore)

Compressed sensing and best k-term approximation
(with W.Dahmen and R.DeVore)

Approximation and compression of scattered data by 
meshless multiscale decompositions
(with R.Baraniuk and R.Wagner)

Multiresolution approximation based on anisotropic
triangulations 
(with N.Dyn, F.Hecht and J.M.Mirebeau)

Greedy bisection generates optimally adapted 
triangulations
(with J.M.Mirebeau)

Anisotropic smoothness classes: from finite element
approximation to image models
(with J.M.Mirebeau)

Refined Sobolev inequalities in Lorentz spaces
(with H. Bahouri)

Nonlinear approximation of stochatic PDEs
(with R.DeVore and C.Schwab)

Analytic regularity and polynomial approximation of 
parametric and stochastic elliptic PDEs
(with R.DeVore and C.Schwab)

Convergence rate for greedy algorithms in reduced
basis methods
(with P. Binev,  W. Dahmen
 R. DeVore, G. Petrova, and P. Wojtaszczyk)


IV. HOBBIES

I enjoy scuba-diving and skiing, they have something to do with
one another although I cannot define it exactly.
I also play jazz (tenor saxophone) together with three
friends of mine. Mostly classic stuff: standards, bebop...
My favorite musicians are Sonny Rollins, Art Pepper, Dexter Gordon and Ben Webster.